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 3 1822 01342 6820
 
 TABLES OF ^fl=? AND 1-r' 
 
 FOR USE IN 
 
 PARTIAL CORRELATION 
 AND IN TRIGONOMETRY 
 
 BY 
 JOHN RICE MINER, Sc. D. 
 
 Associate in the Department of Biometry and Vital Statistics, 
 
 School of Hygiene and Public Health, The 
 
 Johns Hopkins University 
 
 THE JOHNS HOPKINS PRESS 
 
 BALTIMORE, MARYLAND 
 
 1922
 
 Copyright 1922 by 
 
 The Johns Hopkins Press 
 
 Baltimore, Md. 
 
 C^e £ort ®<xfttmotc (|)rcee 
 
 BALTIMORE, MD., C. S. A.
 
 TABLES OF VT^ AND 1-r- FOE USE IN PARTIAL COR- 
 RELATION AND IN TRIGONOMETRY* 
 By John Rice Miner 
 
 ESTTRODUCTION 
 
 In the calculation of partial correlation coefficients each coefficient 
 is obtained from those of the next lower order by the formula : 
 
 I ^Iw • 34 • • • (n-1) ^2n • 34 • • • (n-l) 
 
 (i) 
 
 '12-34---n— W-| _ . VT^' 
 
 * ^ ' ln'34- • '(n-l) * ^ ' 2n'34- • -(n-l) 
 
 A large part of the labor of calculation is thus involved in the deter- 
 mination of the factors in tiie denominator of the formula, and may be 
 
 r^ saved by reference to a table of Vl— ^ for different values of r. 
 
 *" Similarly, a standard deviation of higher order is calculated from the 
 
 cv formula: 
 
 <'"l-23- • •n~'''i-23- • '(n-l) ^ 1 '"lB-23' • '(n-l) V^U 
 
 in which again labor may be saved by reference to such a table, which 
 I have calculated at the suggestion of Dr. Raymond Pearl. 
 
 Table I gives the values of Vl — r^ for r=:.0001 to .9999, for values 
 of the argument proceeding by differences of .0001. A similar table, 
 but on a mudi less extended scale, has been given by Holbrook Working, 
 in Quarterly Publications of the American Statistical Association, 
 XVII, 767, June, 1921. Since sin^ a-f cos^ a=l, the table may also 
 be used to obtain cos a when sin a is given and vice versa. 
 
 Table II, which gives the values of 1 — r^ on a more extended scale 
 than Table VIII of Pearson's Tables for Statisticians and Biome- 
 tricians, may be used in the calcidation of the probable error of the 
 correlation coefficient from the formula: 
 
 PEr=--^ (l-r-^)=Xi(l-r^). (iii) 
 
 Vn 
 
 ' Papers from the Department of Biometry and Vital Statistics, School of 
 Hygiene and Public Health, Johns Hopkins University, No. 55. 
 
 (8)
 
 In calculating the tables the value of 1 — r^ was obtained for each 
 value of r and its square root then calculated by dividing 1 — r ' by an 
 approximate value of the square root and taking the mean of the 
 divisor and quotient. This method of obtaining square roots depends 
 
 x^ S- 
 
 on the fact that r =x — h-\ If, therefore, 8 is small as 
 
 x+o X 
 
 compared with x the quotient will be nearly equal to x — 8 and the 
 mean of divisor and quotient will be a much closer approximation to 
 x than the original a; + 8. Where, as in the greater part of this table, a 
 close approximation to the square root can be found by differences 
 from the preceding items, this method is very convenient. All work 
 was done on a calculating machine and each table checked by 
 differences. 
 
 In arrangement the tables are in general like logarithmic tables. 
 The column at the left of the page gives the first three figures of r, 
 while the fourth figure is given in the heading. To find the value of 
 Vl— r^ for a given value of r, we therefore look in Table I for the first 
 three figures of r (including zeros) in the coltmm at the left of the 
 page headed r. In the same line and in the column headed by the 
 fourth figure of r we find the last figures of V^l — r^. For r=:.0000 
 to .7000 the first three figures of Vl — r^ are given as the separated 
 figures in tiie column headed 0. Should there be no separated figures 
 in column in this line the three standing next above should be taken, 
 except when the first of the figures in the column headed by the fourth 
 figure of r has a bar above it, when we must take the separated figures 
 from the Hne below in column 0. For r=.7000 to .8500 the first three 
 figures of Vl— r^ are given in column and column 5. If, therefore, 
 the fourth figure of r is between and 4, inclusive, the first three 
 figures of yfl — r^ are to be taken from column in the same line, 
 except when there is a bar over the first figure in the column headed 
 by the fourth figure of r, in which case the first three figures of Vl — r^ 
 are found in coliunn 5 in the same line. If the fourth figure of r is 
 between 5 and 9, inclusive, the first three figures of Vl — r^ are to be 
 taken from column 5 in the same line, except when there is a bar over 
 the first figure in the column headed by the fourth figure of r, in which 
 case the first three figures of Vl — t^ are to be taken from column of 
 the line below. For r=.8500 to .9999 aU the figures of Vl-r^ are 
 given in each column. 
 
 (4)
 
 For example, if r=.0476 we find the first three fibres .047 in the 
 column T on page 7. In the same line and in the column 6 we find 
 the figures 866. The separated figures in the column next above 
 the line are .998, and Vl-f^ is therefore .998 866. If r = .1944 we 
 find .194 in the column r on page 10. In the same line and in the 
 column 4 we find the figures 922. Since there is a bar over the first 
 figure we take the .980 from the line below in column 0, and Vl — r^ 
 is .980 922. If r =.7432 we find .743 in the column r on page 21. In 
 the same line in column 2 we find 069 and in column the first three 
 figures .669, so that y/Y^r" is .699 069. If r=.7433 we find in 
 column 3 of the same line 958. Since there is a bar over the first 
 figure, we take the .668 from column 5, and y/l — r^ is .668 958. If 
 r=.7757 we find .775 in column r on page 22. In column 7 of the 
 same line we find 102 and in column 5 the first three figures .631, so 
 that Vl-r^ is .631 102. If r=.7758 in column 8 of the same line 
 we find 979. As there is a bar over the first figure we take .630 from 
 column of the line below, and Vl-r^ is .630 979. If r=.8937 we 
 find .893 in column r on page 25 and in column 7 of the same line find 
 Vl— ^ to be .448 665. If r is given to more than four places of 
 decimals the value of Vl — r^ may if desired be obtained by the usual 
 methods of interpolation. 
 
 Probably the most advantageous form in which to arrange the cal- 
 culation of partial correlation coefficients is the following : 
 
 Coefficient 
 
 Vl— r2 
 
 Product term 
 
 Numerator 
 
 Denominator 
 
 Coeffi 
 
 cient 
 
 ^12 
 
 + .0476 
 
 .998 87 
 
 + .144 48 
 
 — .096 88 
 
 .656 30 
 
 r-i-.s 
 
 — .1476 
 
 ri3 
 
 + .1944 
 
 .980 92 
 
 + .035 38 
 
 + .159 02 
 
 .668 31 
 
 n3-2 
 
 + .2379 
 
 r^ 
 
 + . 7432 
 
 . 669 07 
 
 + .009 25 
 
 + .733 95 
 
 .979 SI 
 
 »"23- 
 
 + .7491 
 
 The derivation of the Vl— r^ column from Table I has already 
 been explained. In the product term column +.144 48 is the product 
 of +.1944 and +.7432, while the other items are similarly derived. 
 In the numerator column -.096 88= ( + .0476) - ( + .144 48), while 
 .65630 in the denominator column is the product of .980 92 and 
 .669 07 from the Vl-r^ column. In the last column -.1476 is the 
 quotient of -.096 88 divided by .656 30. 
 
 (5)
 
 The arrangement of Table II is similar to that of Table I, except 
 that for r=:.0000 to .5000 the first three figures of 1 — r^ are given in 
 column 0, while for r=.5000 to .9999 they are given in both column 
 and column 5. To obtain the probable error of r, 1 — r^ from Table II 
 is multiplied by xi from Table V of Pearson's Tables for Statisticians 
 and Biometricians. For example, if for a population of 453, 
 r=— .5627, we find .562 in column r of Table II on page 41, In 
 column 7 of the same line we find 369. As r is between .5000 and 
 .9999 we look in column 5 for the first three figures .683, so that 
 l-r" is .683 369. From Table V we find xi = . 03169 for n = 453. 
 Therefore, the probable error of r=. 03169 X. 683 369 = .0217. 
 
 (e>
 
 Table I. Values of Vl=? 
 
 r 1234S6789 
 
 .000 1.000 000 000 000 000 000 000 000 000 000 000 
 
 .001 .999 999 999 999 999 999 999 999 999 998 998 
 
 .002 998 998 998 997 997 997 997 996 996 996 
 
 .003 995 995 995 995 994 994 994 993 993 992 
 
 ,004 992 992 991 991 990 990 989 989 988 988 
 
 .OOS 987 987 986 986 985 985 984 984 983 983 
 
 .006 982 981 981 980 980 979 978 978 977 976 
 
 .007 975 975 974 973 973 972 971 970 970 969 
 
 .908 968 967 966 966 965 964 963 962 961 960 
 
 .009 959 959 958 957 956 955 954 953 952 951 
 
 .010 950 949 948 947 946 945 944 943 942 941 
 
 .011 939 938 937 936 935 934 933 932 930 929 
 
 .012 928 927 926 924 923 922 921 919 918 917 
 
 .013 915 914 913 912 910 909 908 906 905 903 
 
 .014 902 901 899 898 896 895 893 892 890 889 
 
 .OlS 888 886 884 883 881 880 878 877 875 874 
 
 .016 872 870 869 867 866 864 862 861 859 857 
 
 .017 855 854 852 850 849 847 845 843 842 840 
 
 .018 838 836 834 833 831 829 827 825 823 821 
 
 .019 819 818 816 814 812 810 808 806 804 802 
 
 .020 800 798 796 794 792 790 788 786 784 782 
 
 .021 779 777 775 773 771 769 767 765 762 760 
 
 .022 758 756 754 751 749 747 745 742 740 738 
 
 .023 735 733 731 729 726 724 721 719 717 714 
 
 .024 712 710 707 705 702 700 697 695 692 690 
 
 .02S 687 685 682 680 677 675 672 670 667 665 
 
 .026 662 659 657 654 651 649 646 643 641 638 
 
 .027 635 633 630 627 625 622 619 616 614 611 
 
 .028 608 605 602 599 597 594 591 588 585 582 
 
 .029 579 577 574 571 568 565 562 559 556 553 
 
 .030 550 547 544 541 538 535 532 529 526 522 
 
 .031 519 516 513 51t) 507 504 501 497 494 491 
 
 .032 488 485 481 478 475 472 468 465 462 459 
 
 .033 455 452 449 445 442 439 435 432 429 425 
 
 .034 422 418 415 412 408 405 401 398 394 391 
 
 .033 387 384 380 377 373 370 366 363 359 355 
 
 .036 352 348 345 341 337 334 330 326 323 319 
 
 .037 315 312 308 304 300 297 293 289 285 282 
 
 .038 278 274 270 266 262 259 255 251 247 243 
 
 .039 239 235 231 227 224 220 216 212 208 204 
 
 .040 200 196 192 188 184 180 175 171 167 163 
 
 .041 159 155 151 147 143 139 134 130 126 122 
 
 .042 118 113 109 105 101 096 092 088 084 079 
 
 .043 075 071 066 062 058 053 049 045 040 036 
 
 .044 032 027 023 018 014 009 005 000 996 991 
 
 .045 .998 987 982 978 973 969 964 960 955 951 946 
 
 .046 941 937 932 928 923 918 914 909 904 900 
 
 .047 895 890 885 881 876 871 866 862 857 852 
 
 .048 847 843 838 833 828 823 818 813 809 804 
 
 .049 799 794 789 784 779 774 769 764 759 754 
 
 .OSO 749 744 739 734 729 724 719 714 709 704 
 
 (7)
 
 Table I. Values of VT^? 
 
 r 123456789 
 
 .050 .998 749 744 739 734 729 724 719 714 709 704 
 
 .051 699 694 688 683 678 673 668 663 657 652 
 
 .052 647 642 637 631 626 621 616 610 605 600 
 
 .053 595 589 584 579 573 568 562 557 552 546 
 
 .054 541 536 530 525 519 514 508 503 497 492 
 
 .055 486 481 475 470 464 459 453 448 442 436 
 
 .056 431 425 420 414 408 403 397 391 386 380 
 
 .057 374 368 363 357 351 346 340 334 328 322 
 
 .058 317 311 305 299 293 287 282 276 270 264 
 
 .059 258 252 246 240 234 228 222 216 210 204 
 
 .060 198 192 186 180 174 168 162 156 150 144 
 
 .061 138 132 126 119 113 107 101 095 089 082 
 
 .062 076 070 064 057 051 045 039 032 026 020 
 
 .063 014 007 001 995 988 982 976 969 963 956 
 
 .064 .997 950 943 937 931 924 918 911 905 898 892 
 
 .065 885 879 872 866 859 853 846 839 833 826 
 
 .066 820 813 806 800 793 786 780 773 766 760 
 
 .067 753 746 740 733 726 719 713 706 699 692 
 
 068 685 679 672 665 658 651 644 637 631 624 
 
 .069 617 610 603 596 589 582 575 568 561 554 
 
 .070 547 540 533 526 519 512 505 498 491 483 
 
 071 476 469 462 455 448 441 433 426 419 412 
 
 072 405 397 390 383 376 368 361 354 347 339 
 .073 332 325 317 310 303 295 288 280 273 266 
 
 074 258 251 243 236 228 221 214 206 199 191 
 
 .075 184 176 168 161 153 146 138 131 123 115 
 
 .076 108 100 093 085 077 070 062 054 047 039 
 
 ,077 031 023 016 008 000 992 985 977 969 961 
 
 .078 .996 953 946 938 930 922 914 906 898 891 883 
 
 .079 875 867 859 851 843 835 827 819 811 803 
 
 .080 795 787 779 771 763 755 747 738 730 722 
 
 .081 714 706 698 690 682 673 665 657 649 641 
 
 082 632 624 616 608 599 591 583 574 566 558 
 
 083 550 541 533 525 516 508 499 491 483 474 
 .084 466 457 449 440 432 423 415 406 398 389 
 .085 381 372 364 355 347 338 330 321 312 304 
 
 .086 295 286 278 269 261 252 243 234 226 217 
 
 .087 208 200 191 182 173 165 156 147 138 129 
 
 .088 120 112 103 094 085 076 067 058 049 041 
 
 .089 032 023 014 005 996 987 978 969 960 951 
 
 .090 .995 942 933 924 915 906 896 887 878 869 860 
 
 .091 851 842 833 823 814 805 796 787 778 768 
 
 .092 759 750 741 731 722 713 703 694 685 675 
 
 .093 666 657 647 638 629 619 610 600 591 582 
 
 094 572 563 553 544 534 525 515 506 496 487 
 
 .095 477 468 458 449 439 429 420 410 401 391 
 
 .096 381 372 362 352 343 333 323 314 304 294 
 
 .097 284 275 265 255 245 236 226 216 206 196 
 
 .098 186 177 167 157 147 137 127 117 107 097 
 
 .099 087 077 068 058 048 038 028 018 008 997 
 
 .100 .994 987 977 967 957 947 937 927 917 907 897 
 
 (8)
 
 Table I. Values of ^/U^^ 
 
 r 123456789 
 
 .too .994 987 977 967 957 947 937 927 917 907 897 
 
 .101 886 876 866 856 846 836 825 815 805 795 
 
 .102 784 774 764 754 743 733 723 712 702 692 
 
 .103 681 671 661 650 640 629 619 609 598 588 
 
 .104 577 567 556 546 535 525 514 504 493 483 
 
 .105 472 462 451 441 430 419 409 398 387 377 
 
 .106 366 355 345 334 323 313 302 291 281 270 
 
 .107 259 248 237 227 216 205 194 183 173 162 
 
 .108 151 140 129 118 107 096 086 075 064 053 
 
 .109 042 031 020 009 998 987 976 965 954 943 
 
 .110 .993 932 921 909 898 887 876 865 854 843 832 
 
 .111 820 809 798 787 776 764 753 742 731 719 
 
 .112 708 697 686 674 663 652 640 629 618 606 
 
 .113 595 584 572 561 549 538 527 515 504 492 
 
 .114 481 469 458 446 435 423 412 400 389 377 
 
 .lis 365 354 342 331 319 307 296 284 273 261 
 
 .116 249 238 226 214 202 191 179 167 155 144 
 
 .117 132 120 1_08 097 085 073 061 049 037 025 
 
 .118 014 002 990 978 966 954 942 930 918 906 
 
 .119 .992 894 882 870 858 846 834 822 810 798 786 
 
 .120 774 762 750 738 725 713 701 689 677 665 
 
 .121 653 640 628 616 604 591 579 567 555 542 
 
 .122 530 518 505 493 481 469 456 444 431 419 
 
 .123 407 394 382 369 357 345 332 320 307 295 
 
 .124 282 270 257 245 232 220 207 194 182 169 
 
 .123 157 144 132 119 106 094 081 068 056 043 
 
 .126 030 018 005 992 979 967 954 941 928 916 
 
 .127 .991 903 890 877 864 851 839 826 813 800 787 
 
 .128 774 761 748 735 722 710 697 684 671 658 
 
 .129 645 632 619 606 592 579 566 553 540 527 
 
 .130 514 501 488 475 461 448 435 422 409 396 
 
 .131 382 369 356 343 329 316 303 290 276 263 
 
 ,132 250 236 223 210 196 183 170 156 143 129 
 
 .133 116 103 089 076 062 049 035 022 008 995 
 
 .134 .990 981 968 954 941 927 914 900 886 873 859 
 
 .135 846 832 818 805 791 777 764 750 736 723 
 
 .136 709 695 681 668 654 640 626 612 599 585 
 
 .137 571 557 543 530 516 502 488 474 460 446 
 
 .138 432 418 404 390 376 362 348 334 320 306 
 
 .139 292 278 264 250 236 222 208 194 180 166 
 
 .140 152 137 123 109 095 081 066 052 038 024 
 
 .141 010 995 981 967 953 938 924 910 895 881 
 
 .142 .989 867 852 838 824 809 795 780 766 752 737 
 
 .143 723 708 694 679 665 650 636 621 607 592 
 
 .144 578 563 549 534 519 505 490 476 461 446 
 
 .145 432 417 402 388 373 358 344 329 314 299 
 
 .146 285 270 255 240 225 211 196 181 166 151 
 
 147 136 122 107 092 077 062 047 032 017 002 
 
 148 .988 987 972 957 942 927 912 897 882 867 852 
 .149 837 822 807 792 777 762 747 731 716 701 
 
 ISO 686 671 656 640 625 610 595 580 564 549 
 
 (9)
 
 Table I. Values of \/l=7 
 
 r 1234S6789 
 
 .ISO .988 686 671 656 640 625 610 595 580 564 549 
 
 .ISt 534 518 503 488 473 457 442 427 411 396 
 
 .132 380 365 350 334 319 303 288 273 257 242 
 
 .153 226 211 195 180 164 1_49 1^33 118 1_02 086 
 
 .154 071 055 040 024 008 993 977 961 946 930 
 
 .155 .987 914 899 883 867 852 836 820 804 789 773 
 
 .156 757 741 725 710 694 678 662 646 630 614 
 
 .157 599 583 567 551 535 519 503 487 471 455 
 
 .15S 439 423 407 391 375 359 343 327 311 295 
 
 .159 279 262 246 230 214 198 182 166 M9 1,33 
 
 .160 117 101 085 068 052 036 020 003 987 971 
 
 .161 .986 954 938 922 905 889 873 856 840 824 807 
 
 .162 791 774 758 741 725 709 692 676 659 643 
 
 .163 626 610 593 576 560 543 527. 510 494 477 
 
 .164 460 444 427 410 394 377 360 344 327 310 
 
 .165 294 277 260 243 227 210 193 176 159 143 
 
 .166 126 109 092 075 058 041 025 008 991 974 
 
 .167 .985 957 940 923 906 889 872 855 838 821 804 
 
 .168 787 770 753 736 719 702 685 667 650 633 
 
 .169 616 599 582 565 547 530 513 496 479 461 
 
 .170 444 427 410 392 375 358 340 323 306 288 
 
 .171 271 254 236 219 202 184 1_67 149 132 114 
 
 .172 097 079 062 045 027 010 992 974 957 939 
 
 .173 .984 922 904 887 869 851 834 816 799 781 763 
 
 .174 746 728 710 693 675 657 639 622 604 586 
 
 .175 568 551 533 515 497 479 462 444 426 408 
 
 .176 390 372 354 336 319 301 283 265 247 229 
 
 .177 211 193 1,75 157 139 121 103 085 067 049 
 
 .178 030 012 994 976 958 940 922 904 885 867 
 
 .179 .983 849 831 813 794 776 758 740 721 703 685 
 
 .180 667 648 630 612 593 575 557 538 520 501 
 
 .181 483 465 446 428 409 391 372 354 336 317 
 
 .182 299 280 261 243 224 206 187 169 150 132 
 
 .183 113 094 076 057 038 020 001 982 964 945 
 
 .184 .982 926 908 889 870 852 833 814 795 776 757 
 
 .185 739 720 701 682 663 644 625 606 588 569 
 
 .186 550 531 512 493 474 455 436 417 398 379 
 
 .187 360 341 322 303 284 265 246 226 207 188 
 
 .188 169 150 131 112 092 073 054 035 016 996 
 
 .189 .981977 958 939 919 900 881 861 842 823 803 
 
 .190 784 765 745 726 707 687 668 648 629 609 
 
 .191 590 571 551 532 512 493 473 454 434 414 
 
 .192 395 375 356 336 317 297 277 258 238 218 
 
 .193 199 179 159 MO 120 100 081 061 041 021 
 
 .194 002 982 962 942 922 903 883 863 843 823 
 
 .195 .980 803 783 763 744 724 704 684 664 644 624 
 
 .196 604 584 564 544 524 504 484 464 444 424 
 
 ,197 403 383 363 343 323 303 283 263 242 222 
 
 ,198 202 182 162 141 121 101 081 060 040 020 
 
 .199 .979 999 979 959 939 918 898 877 857 837 816 
 
 ,200 796 775 755 735 714 694 673 653 632 612 
 
 (10)
 
 
 Table I. Values of V^ 
 
 -r* 
 
 
 
 
 r 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 200 
 
 .979 796 
 
 775 
 
 755 
 
 735 
 
 714 
 
 694 
 
 673 
 
 653 
 
 632 
 
 612 
 
 201 
 
 591 
 
 571 
 
 550 
 
 530 
 
 509 
 
 489 
 
 468 
 
 447 
 
 427 
 
 406 
 
 202 
 
 386 
 
 365 
 
 344 
 
 324 
 
 303 
 
 282 
 
 262 
 
 241 
 
 220 
 
 199 
 
 203 
 
 179 
 
 158 
 
 137 
 
 116 
 
 096 
 
 075 
 
 054 
 
 033 
 
 013 
 
 992 
 
 204 
 
 .978 971 
 
 950 
 
 929 
 
 908 
 
 887 
 
 867 
 
 846 
 
 825 
 
 804 
 
 783 
 
 205 
 
 762 
 
 741 
 
 720 
 
 699 
 
 678 
 
 657 
 
 636 
 
 615 
 
 594 
 
 573 
 
 206 
 
 552 
 
 531 
 
 510 
 
 489 
 
 468 
 
 447 
 
 425 
 
 404 
 
 383 
 
 362 
 
 207 
 
 341 
 
 320 
 
 299 
 
 277 
 
 256 
 
 235 
 
 214 
 
 193 
 
 171 
 
 150 
 
 208 
 
 129 
 
 108 
 
 086 
 
 065 
 
 044 
 
 022 
 
 001 
 
 980 
 
 958 
 
 937 
 
 209 
 
 .977 916 
 
 894 
 
 873 
 
 851 
 
 830 
 
 809 
 
 787 
 
 766 
 
 744 
 
 723 
 
 210 
 
 701 
 
 680 
 
 658 
 
 637 
 
 615 
 
 594 
 
 572 
 
 551 
 
 529 
 
 508 
 
 211 
 
 486 
 
 464 
 
 443 
 
 421 
 
 400 
 
 378 
 
 356 
 
 335 
 
 313 
 
 291 
 
 212 
 
 270 
 
 248 
 
 226 
 
 205 
 
 183 
 
 161 
 
 139 
 
 118 
 
 096 
 
 074 
 
 213 
 
 052 
 
 030 
 
 009 
 
 987 
 
 965 
 
 943 
 
 921 
 
 899 
 
 877 
 
 856 
 
 214 
 
 .976 834 
 
 812 
 
 790 
 
 768 
 
 746 
 
 724 
 
 702 
 
 680 
 
 658 
 
 636 
 
 215 
 
 614 
 
 592 
 
 570 
 
 548 
 
 526 
 
 504 
 
 482 
 
 460 
 
 438 
 
 415 
 
 216 
 
 393 
 
 371 
 
 349 
 
 327 
 
 305 
 
 283 
 
 260 
 
 238 
 
 216 
 
 194 
 
 217 
 
 172 
 
 149 
 
 127 
 
 105 
 
 083 
 
 060 
 
 038 
 
 016 
 
 993 
 
 971 
 
 218 
 
 .975 949 
 
 926 
 
 904 
 
 882 
 
 859 
 
 837 
 
 815 
 
 792 
 
 770 
 
 747 
 
 219 
 
 725 
 
 703 
 
 680 
 
 657 
 
 635 
 
 612 
 
 590 
 
 567 
 
 545 
 
 522 
 
 220 
 
 500 
 
 477 
 
 455 
 
 432 
 
 410 
 
 387 
 
 364 
 
 342 
 
 319 
 
 296 
 
 221 
 
 274 
 
 251 
 
 228 
 
 206 
 
 183 
 
 160 
 
 138 
 
 115 
 
 092 
 
 069 
 
 222 
 
 047 
 
 024 
 
 001 
 
 978 
 
 956 
 
 933 
 
 910 
 
 887 
 
 864 
 
 841 
 
 223 
 
 .974 818 
 
 796 
 
 773 
 
 750 
 
 727 
 
 704 
 
 681 
 
 658 
 
 635 
 
 612 
 
 224 
 
 589 
 
 566 
 
 543 
 
 520 
 
 497 
 
 474 
 
 451 
 
 428 
 
 405 
 
 382 
 
 225 
 
 359 
 
 336 
 
 313 
 
 289 
 
 266 
 
 243 
 
 22b 
 
 197 
 
 174 
 
 150 
 
 226 
 
 127 
 
 104 
 
 081 
 
 058 
 
 034 
 
 Oil 
 
 988 
 
 965 
 
 941 
 
 918 
 
 227 
 
 .973 895 
 
 871 
 
 848 
 
 825 
 
 801 
 
 778 
 
 755 
 
 731 
 
 708 
 
 685 
 
 228 
 
 661 
 
 638 
 
 614 
 
 591 
 
 567 
 
 544 
 
 520 
 
 497 
 
 473 
 
 450 
 
 229 
 
 426 
 
 403 
 
 379 
 
 356 
 
 332 
 
 309 
 
 285 
 
 261 
 
 238 
 
 214 
 
 230 
 
 191 
 
 167 
 
 143 
 
 120 
 
 096 
 
 072 
 
 049 
 
 025 
 
 001 
 
 977 
 
 231 
 
 .972 954 
 
 930 
 
 906 
 
 882 
 
 859 
 
 835 
 
 811 
 
 787 
 
 763 
 
 740 
 
 232 
 
 716 
 
 692 
 
 668 
 
 644 
 
 620 
 
 596 
 
 572 
 
 549 
 
 525 
 
 501 
 
 233 
 
 477 
 
 453 
 
 429 
 
 405 
 
 381 
 
 357 
 
 333 
 
 309 
 
 285 
 
 261 
 
 234 
 
 237 
 
 213 
 
 188 
 
 164 
 
 140 
 
 116 
 
 092 
 
 068 
 
 044 
 
 020 
 
 .235 
 
 .971 995 
 
 971 
 
 947 
 
 923 
 
 899 
 
 874 
 
 850 
 
 826 
 
 802 
 
 777 
 
 .236 
 
 753 
 
 729 
 
 704 
 
 680 
 
 656 
 
 631 
 
 607 
 
 583 
 
 558 
 
 534 
 
 .237 
 
 510 
 
 485 
 
 461 
 
 436 
 
 412 
 
 388 
 
 363 
 
 339 
 
 314 
 
 290 
 
 .238 
 
 265 
 
 241 
 
 216 
 
 192 
 
 167 
 
 142 
 
 118 
 
 093 
 
 069 
 
 044 
 
 .239 
 
 020 
 
 995 
 
 970 
 
 946 
 
 921 
 
 896 
 
 872 
 
 847 
 
 822 
 
 798 
 
 .240 
 
 .970 773 
 
 748 
 
 723 
 
 699 
 
 674 
 
 649 
 
 624 
 
 600 
 
 575 
 
 550 
 
 .241 
 
 525 
 
 500 
 
 475 
 
 451 
 
 426 
 
 401 
 
 376 
 
 351 
 
 326 
 
 301 
 
 .242 
 
 276 
 
 251 
 
 226 
 
 201 
 
 176 
 
 151 
 
 126 
 
 101 
 
 076 
 
 051 
 
 .243 
 
 026 
 
 001 
 
 976 
 
 951 
 
 926 
 
 901 
 
 876 
 
 851 
 
 826 
 
 800 
 
 .244 
 
 .969 775 
 
 750 
 
 725 
 
 700 
 
 675 
 
 649 
 
 624 
 
 599 
 
 574 
 
 548 
 
 .245 
 
 523 
 
 498 
 
 473 
 
 447 
 
 422 
 
 397 
 
 371 
 
 346 
 
 321 
 
 295 
 
 .246 
 
 270 
 
 244 
 
 219 
 
 194 
 
 168 
 
 143 
 
 117 
 
 092 
 
 066 
 
 041 
 
 .247 
 
 015 
 
 990 
 
 964 
 
 939 
 
 913 
 
 888 
 
 862 
 
 837 
 
 811 
 
 786 
 
 .248 
 
 .968 760 
 
 734 
 
 709 
 
 683 
 
 658 
 
 632 
 
 606 
 
 581 
 
 555 
 
 529 
 
 .249 
 
 503 
 
 478 
 
 452 
 
 426 
 
 401 
 
 375 
 
 349 
 
 323 
 
 297 
 
 272 
 
 .250 
 
 246 
 
 220 
 
 194 
 
 168 
 
 142 
 
 117 
 
 091 
 
 065 
 
 039 
 
 013 
 
 (11)
 
 Table I. Values of Vl=? 
 
 r 123456789 
 
 .250 .968 246 220 194 168 142 117 091 065 039 013 
 
 .251 .967 987 961 935 909 883 857 831 805 779 753 
 
 .252 727 701 675 649 623 597 571 545 519 492 
 
 .253 466 440 414 388 362 335 309 283 257 230 
 
 .254 204 178 152 125 099 073 046 020 994 967 
 
 .255 .966 941 915 888 862 835 809 783 756 730 703 
 
 .256 677 650 624 597 571 544 518 491 465 438 
 
 .257 411 385 358 332 305 278 252 225 198 172 
 
 .258 145 118 091 065 038 Oil 984 958 931 904 
 
 .259 .965 877 851 824 797 770 743 716 689 662 636 
 
 .260 609 582 555 528 501 474 447 420 393 366 
 
 .261 339 312 285 258 231 203 176 149 122 095 
 
 .262 068 041 014 986 959 932 905 878 850 823 
 
 .263 .964 796 769 741 714 687 659 632 605 577 550 
 
 .264 523 495 468 441 413 386 358 331 303 276 
 
 .265 248 221 193 166 138 111 083 056 028 001 
 
 .266 .963 973 945 918 890 863 835 807 780 752 724 
 
 .267 697 669 641 613 586 558 530 502 475 447 
 
 .268 419 391 363 335 308 280 252 224 1,96 168 
 
 .269 140 112 084 056 028 000 972 944 916 888 
 
 .270 .962 860 832 804 776 748 720 692 664 636 607 
 
 .271 579 551 523 495 467 438 410 382 354 326 
 
 .272 297 269 241 212 184 156 127 099 071 042 
 
 .273 014 986 957 929 900 872 844 815 787 758 
 
 .274 .961 730 701 673 644 616 587 559 530 501 473 
 
 .275 AAA 416 387 358 330 301 272 244 215 186 
 
 .276 158 129 100 071 043 014 985 956 928 899 
 
 .277 .960 870 841 812 783 755 726 697 668 639 610 
 
 .278 581 552 523 494 465 436 407 378 349 320 
 
 .279 291 262 233 204 175 146 117 087 058 029 
 
 .280 000 971 942 912 883 854 825 796 766 737 
 
 .281 .959 708 678 649 620 591 561 532 503 473 444 
 
 .282 414 385 356 326 297 267 238 208 179 149 
 
 .283 120 090 061 031 002 972 943 913 883 854 
 
 .284 .958 824 795 765 735 706 676 646 617 587 557 
 
 .285 528 498 468 438 408 379 349 319 289 259 
 
 .286 230 200 170 140 110 080 050 020 990 961 
 
 .287 .957 931 901 871 841 811 781 751 721 691 660 
 
 .288 630 600 570 540 510 480 450 420 389 359 
 
 .289 329 299 269 238 208 178 148 118 087 057 
 
 .290 027 996 966 936 905 875 845 814 784 753 
 
 .291 .956 723 693 662 632 601 571 540 510 479 449 
 
 .292 418 388 357 327 296 266 235 204 174 \AZ 
 
 .293 112 082 051 020 990 959 928 898 867 836 
 
 .294 .955 805 775 744 713 682 651 621 590 559 528 
 
 .295 497 466 435 405 374 343 312 281 250 219 
 
 .296 188 157 126 095 064 033 002 971 940 909 
 
 .297 .954 877 846 815 784 753 722 691 659 628 597 
 
 .298 566 535 503 472 441 410 378 347 316 284 
 
 .299 253 222 190 159 128 096 065 033 002 971 
 
 .300 .953 939 908 876 845 813 782 750 719 687 656 
 
 (12)
 
 Table L Values of VT^? 
 
 r 123456789 
 
 .300 .953 939 908 876 845 813 782 750 719 687 656 
 
 .301 624 593 561 529 498 466 435 403 371 340 
 
 .302 308 276 245 213 181 149 118 086 054 022 
 
 .303 .952 991 959 927 895 863 831 800 768 736 704 
 
 .304 672 640 608 576 544 512 480 448 416 384 
 
 .305 352 320 288 256 224 192 160 128 096 064 
 
 .306 032 999 967 935 903 871 838 806 774 742 
 
 .307 ,951 710 677 645 613 580 548 516 483 451 419 
 
 .308 386 354 322 289 257 224 192 159 127 095 
 
 .309 062 030 997 965 932 899 867 834 802 769 
 
 .310 .950 737 704 671 639 606 573 541 508 475 443 
 
 .311 410 377 344 312 279 246 213 181 148 115 
 
 .312 082 049 016 984 951 918 885 852 819 786 
 
 .313 .949 753 720 687 654 621 588 555 522 489 456 
 
 .314 423 390 357 324 291 257 224 191 158 125 
 
 .315 092 058 025 992 959 926 892 859 826 792 
 
 .316 .948 759 726 693 659 626 593 559 526 492 459 
 
 .317 426 392 359 325 292 258 225 191 158 124 
 
 .318 091 057 024 990 956 923 889 856 822 788 
 
 .319 .947 755 721 687 654 620 586 553 519 485 451 
 
 .320 418 384 350 316 282 249 215 181 147 113 
 
 .321 079 045 Oil 977 944 910 876 842 808 774 
 
 .J22 .946 740 706 672 638 604 569 535 501 467 433 
 
 .323 399 365 331 297 262 228 194 160 126 091 
 
 .324 057 023 989 954 920 886 851 817 783 748 
 
 .325 .945 714 680 645 611 576 542 508 473 439 404 
 
 .326 370 335 301 266 232 197 163 128 094 059 
 
 .327 024 990 955 920 886 851 817 782 747 712 
 
 .328 .944 678 643 608 574 539 504 469 434 400 365 
 
 .329 330 295 260 225 190 156 121 086 051 016 
 
 .330 .943 981 946 911 876 841 806 771 736 701 666 
 
 .331 631 596 561 525 490 455 420 385 350 315 
 
 .332 279 244 209 174 139 103 068 033 997 962 
 
 .333 .942 927 892 856 821 785 750 715 679 644 609 
 
 .334 573 538 502 467 431 396 360 325 289 254 
 
 .335 218 183 147 111 076 040 005 969 933 898 
 
 .336 .941 862 826 791 755 719 683 648 612 576 540 
 
 .337 505 469 433 397 361 326 290 254 218 182 
 
 .338 146 110 074 038 002 966 930 894 858 822 
 
 .339 .940 786 750 714 678 642 606 570 534 498 462 
 
 .340 425 389 353 317 281 245 208 172 136 100 
 
 .341 063 027 991 954 918 882 845 809 773 736 
 
 .342 .939 700 664 627 591 554 518 481 445 408 372 
 
 .343 335 299 262 226 189 153 116 080 043 006 
 
 .344 .938 970 933 896 860 823 786 750 713 676 639 
 
 .345 603 566 529 492 456 419 382 345 308 271 
 
 .346 235 198 161 124 087 050 013 976 939 902 
 
 .347 .937 865 828 791 754 717 680 643 606 569 532 
 
 .348 495 457 420 383 346 309 272 234 197 160 
 
 .349 123 085 048 Oil 974 936 899 862 824 787 
 
 .350 .936 750 712 675 638 600 563 525 488 450 413 
 
 (13)
 
 Table I. Values of >/!=? 
 
 r 123456789 
 
 .350 .936 750 712 675 638 600 563 525 488 450 413 
 
 .351 375 338 300 263 225 188 150 1.13 075 038 
 
 .352 000 962 925 887 849 812 774 736 699 661 
 
 .353 .935 623 586 548 510 472 435 397 359 321 283 
 
 .354 245 208 170 132 094 056 018 980 942 904 
 
 .355 .934 866 828 790 752 714 676 638 600 562 524 
 
 .356 486 448 410 372 333 295 257 219 181 143 
 
 .357 104 066 028 990 951 913 875 837 798 760 
 
 .358 .933 722 683 645 607 568 530 491 453 414 376 
 
 .359 338 299 261 222 184 145 107 068 029 991 
 
 .360 .932 952 914 875 836 798 759 721 682 643 605 
 
 .361 566 527 488 450 411 372 333 295 256 217 
 
 .362 178 139 100 062 023 984 945 906 867 828 
 
 .363 .931 789 750 711 672 633 594 555 516 477 438 
 
 .364 399 360 321 282 243 203 164 125 086 047 
 
 .365 008 968 929 890 851 811 772 733 693 654 
 
 .366 .930 615 576 536 497 457 418 379 339 300 260 
 
 .367 221 181 142 103 063 024 984 944 905 865 
 
 .368 .929 826 786 747 707 667 628 588 548 509 469 
 
 .369 429 390 350 310 270 231 191 151 ni 072 
 
 .370 032 992 952 912 872 832 793 753 713 673 
 
 .371 .928 633 593 553 513 473 433 393 353 313 273 
 
 .372 233 193 153 112 072 032 992 952 912 872 
 
 .373 .927 831 791 751 711 670 630 590 550 509 469 
 
 .374 429 388 348 308 267 227 187 146 106 065 
 
 .375 025 984 944 903 863 822 782 741 701 660 
 
 .376 .926 620 579 538 498 457 417 376 335 295 254 
 
 .377 213 173 132 091 050 010 969 928 887 846 
 
 .378 .925 806 765 724 683 642 601 560 519 479 438 
 
 .379 397 356 315 274 233 192 151 110 069 028 
 
 .380 .924 986 945 904 863 822 781 740 699 657 616 
 
 .381 575 534 493 451 410 369 328 286 245 204 
 
 .382 162 121 080 038 997 955 914 873 831 790 
 
 .383 .923 748 707 665 624 582 541 499 458 416 375 
 
 .384 333 291 250 208 167 125 083 042 000 958 
 
 .385 .922 917 875 833 791 750 708 666 624 582 541 
 
 .386 499 457 415 373 331 289 247 206 164 122 
 
 .387 080 038 996 954 912 870 828 786 744 701 
 
 .388 .921 659 617 -575 533 491 449 407 364 322 280 
 
 .389 238 196 153 111 069 026 984 942 900 857 
 
 .390 .920 815 772 730 688 645 603 561 518 476 433 
 
 .391 391 348 306 263 221 178 136 093 050 008 
 
 .392 .919 965 923 880 837 795 752 709 667 624 581 
 
 .393 538 496 453 410 367 325 282 239 196 153 
 
 .394 110 068 025 982 939 896 853 810 767 724 
 
 .395 .918 681 638 595 552 509 466 423 380 337 294 
 
 .396 251 207 164 121 078 035 992 948 905 862 
 
 .397 .917 819 775 732 689 645 602 559 516 472 429 
 
 .398 385 342 299 255 212 168 125 081 038 994 
 
 .399 .916 951 907 864 820 777 733 690 646 602 559 
 
 .400 515 471 428 384 340 297 253 209 166 122 
 
 (14)
 
 Table I. Values of ^/U^ 
 
 r 123456789 
 
 .400 .916 515 471 428 384 340 297 253 209 166 122 
 
 .401 078 034 990 947 903 859 815 771 727 684 
 
 .402 .915 640 596 552 508 464 420 376 332 288 244 
 
 .403 200 156 112 068 024 980 936 891 847 803 
 
 .404 .914 759 715 671 626 582 538 494 450 405 361 
 
 .405 317 272 228 184 139 095 051 006 962 917 
 
 .406 .913 873 829 784 740 695 651 606 562 517 473 
 
 .407 428 384 339 294 250 205 161 116 071 027 
 
 .408 .912 982 937 893 848 803 758 714 669 624 579 
 
 .409 534 490 445 400 355 310 265 220 175 130 
 
 .410 086 041 996 951 906 861 816 771 725 680 
 
 .411 .911 635 590 545 500 455 410 365 319 274 229 
 
 .412 184 139 093 048 003 958 912 867 822 776 
 
 .413 .910 731 686 640 595 550 504 459 413 368 322 
 
 .414 277 231 186 140 095 049 004 958 913 867 
 
 .415 .909 821 776 730 685 639 593 547 502 456 410 
 
 .416 365 319 273 227 182 136 090 044 998 952 
 
 .417 .908 906 861 815 769 723 677 631 585 539 493 
 
 .418 447 401 355 309 263 217 171 125 078 032 
 
 .419 .907 986 940 894 848 802 755 709 663 617 570 
 
 .420 524 478 432 385 339 293 246 200 153 107 
 
 .421 061 014 968 921 875 828 782 735 689 642 
 
 .422 .906 596 549 503 456 410 363 316 270 223 176 
 
 .423 130 083 036 990 943 896 849 803 756 709 
 
 .424 .905 662 615 569 522 475 428 381 334 287 240 
 
 .425 193 146 099 052 005 958 911 864 817 770 
 
 .426 .904 723 676 629 582 535 488 440 393 346 299 
 
 .427 252 204 157 110 063 015 968 921 873 826 
 
 .428 .903 779 731 684 637 589 542 494 447 399 352 
 
 .429 304 257 209 162 114 067 019 972 924 877 
 
 .430 .902 829 781 734 686 638 591 543 495 447 400 
 
 .431 352 304 256 209 161 113 065 017 969 921 
 
 .432 .901 874 826 778 730 682 634 586 538 490 442 
 
 .433 394 346 298 250 202 154 105 057 009 961 
 
 .434 .900 913 865 816 768 720 672 624 575 527 479 
 
 .435 430 382 334 285 237 189 140 092 044 995 
 
 .436 .899 947 898 850 801 753 704 656 607 559 510 
 
 .437 462 413 364 316 267 218 170 121 072 024 
 
 .438 .898 975 926 877 829 780 731 682 634 585 536 
 
 .439 487 438 389 340 292 243 194 145 096 047 
 
 .440 .897 998 949 900 851 802 753 704 654 605 556 
 
 .441 507 458 409 360 310 261 212 163 114 064 
 
 .442 015 966 916 867 818 769 719 670 620 571 
 
 .443 .896 522 472 423 373 324 274 225 175 126 076 
 
 .444 027 977 928 878 828 779 729 680 630 580 
 
 .445 .895 531 481 431 381 332 282 232 182 133 083 
 
 .446 033 983 933 883 834 784 734 684 634 584 
 
 .447 .894 534 484 434 384 334 284 234 184 134 084 
 
 .448 034 983 933 883 833 783 733 682 632 582 
 
 .449 .893 532 481 431 381 331 280 230 180 129 079 
 
 .450 029 978 928 877 827 776 726 675 625 574 
 
 (15)
 
 Table I. Vadues of VI — r^ 
 
 r 123456789 
 
 .450 .893 029 978 928 877 827 776 726 675 625 574 
 
 .451 .892 524 473 423 372 322 271 221 170 119 069 
 
 .452 018 967 917 866 815 764 714 663 612 561 
 
 .453 .891511 460 409 358 307 256 205 154 104 053 
 
 .454 002 951 900 849 798 747 696 645 594 543 
 
 .455 .890 491 440 389 338 287 236 185 133 082 031 
 
 .456 .889 980 929 877 826 775 723 672 621 569 518 
 
 .457 467 415 364 312 261 210 158 107 055 004 
 
 .458 .888 952 901 849 798 746 694 643 591 540 488 
 
 .459 436 385 333 281 229 178 126 074 022 971 
 
 .460 .887 919 867 815 763 712 660 608 556 504 452 
 
 .461 400 348 296 244 192 140 088 036 984 932 
 
 .462 .886 880 828 776 724 671 619 567 515 463 411 
 
 .463 358 306 254 202 149 097 045 992 940 888 
 
 .464 .885 835 783 730 678 626 573 521 468 416 363 
 
 .465 311 258 206 153 100 048 995 943 890 837 
 
 .466 .884 785 732 679 627 574 521 468 416 363 310 
 
 .467 257 204 152 099 046 993 940 887 834 781 
 
 .468 .883 728 676 623 570 517 463 410 357 304 251 
 
 .469 198 145 092 039 986 932 879 826 773 720 
 
 .470 .882 666 613 560 507 453 400 347 293 240 187 
 
 .471 133 080 026 973 920 866 813 759 706 652 
 
 .472 .881 599 545 491 438 384 331 277 223 170 116 
 
 .473 062 009 955 901 848 794 740 686 632 579 
 
 .474 .880 525 471 417 363 309 256 202 148 094 040 
 
 .475 .879 986 932 878 824 770 716 662 608 554 499 
 
 .476 445 391 337 283 229 174 120 066 012 958 
 
 .477 .878 903 849 795 740 686 632 577 523 469 414 
 
 .478 360 305 251 197 142 088 033 979 924 869 
 
 .479 .877 815 760 706 651 597 542 487 433 378 323 
 
 .480 268 214 159 104 050 995 940 885 830 775 
 
 .481 .876 721 666 611 556 501 446 391 336 281 226 
 
 .482 171 116 061 006 951 896 841 786 731 676 
 
 .483 .875 620 565 510 455 400 344 289 234 1,79 123 
 
 .484 068 013 957 902 847 791 736 680 625 570 
 
 .485 .874 514 459 403 348 292 237 181 126 070 014 
 
 .486 .873 959 903 848 792 736 681 625 569 513 458 
 
 .487 402 346 290 235 179 123 067 Oil 955 900 
 
 .488 .872 844 788 732 676 620 564 508 452 396 340 
 
 .489 284 228 172 116 059 003 947 891 835 779 
 
 .490 .871 722 666 610 554 497 441 385 329 272 216 
 
 .491 160 103 047 990 934 878 821 765 708 652 
 
 .492 .870 595 539 482 426 369 312 256 199 143 086 
 
 .493 029 973 916 859 803 746 689 632 576 519 
 
 .494 .869 462 405 348 291 235 178 121 064 007 950 
 
 .495 .868 893 836 779 722 665 608 551 494 437 380 
 
 .496 323 265 208 151 094 037 980 922 865 808 
 
 .497 .867 751 693 636 579 521 464 407 349 292 234 
 
 .498 177 120 062 005 947 890 832 775 717 660 
 
 .499 .866 602 544 487 429 372 314 256 199 141 083 
 
 .500 025 968 910 852 794 737 679 621 563 505 
 
 (16)
 
 Table I. Values of ^/l^^ 
 
 r 1234S6789 
 
 .500 .866 025 968 910 852 794 737 679 621 563 505 
 
 .SOI .865 447 389 331 274 216 158 100 042 984 926 
 
 .302 .864 868 810 752 693 635 577 519 461 403 345 
 
 .503 286 228 170 112 053 995 937 879 820 762 
 
 .504 .863 704 645 587 529 470 412 353 295 236 178 
 
 .505 119 061 002 944 885 827 768 709 651 592 
 
 .506 .862 533 475 416 357 299 240 181 122 064 005 
 
 .507 .861 946 887 828 770 711 652 593 534 475 416 
 
 .508 357 298 239 180 121 062 003 944 885 826 
 
 .509 .860 767 707 648 589 530 471 411 352 293 234 
 
 .510 174 115 056 996 937 878 818 759 700 640 
 
 .511 .859 581 521 462 402 343 283 224 164 105 045 
 
 .512 .858 985 926 866 807 747 687 628 568 508 448 
 
 .513 389 329 269 209 149 090 030 970 910 850 
 
 .514 .857 790 730 670 610 550 490 430 370 310 250 
 
 .515 190 130 070 010 950 890 829 769 709 649 
 
 .516 .856 589 528 468 408 347 287 227 167 106 046 
 
 .517 .855 985 925 865 804 744 683 623 562 502 441 
 
 .518 381 320 259 199 138 078 017 956 896 835 
 
 .519 .854 774 714 653 592 531 470 410 349 288 227 
 
 .520 166 105 044 984 923 862 801 740 679 618 
 
 .521 .853 557 496 435 373 312 251 190 129 068 007 
 
 .522 .852 945 884 823 762 701 639 578 517 455 394 
 
 .523 333 271 210 149 087 026 964 903 841 780 
 
 .524 .851 718 657 595 534 472 410 349 287 226 164 
 
 .525 102 041 979 917 855 794 732 670 608 546 
 
 .526 .850 485 423 361 299 237 175 113 051 989 927 
 
 .527 .849 865 803 741 679 617 555 493 431 369 307 
 
 .528 244 182 120 058 996 933 871 809 746 684 
 
 .529 .848 622 559 497 435 372 310 248 185 123 060 
 
 .530 .847 998 935 873 810 748 685 622 560 497 434 
 
 .531 372 309 246 184 121 058 996 933 870 807 
 
 .532 .846 744 682 619 556 493 430 367 304 241 178 
 
 .533 115 052 989 926 863 800 737 674 611 548 
 
 .534 .845 484 421 358 295 232 168 105 042 979 915 
 
 .535 .844 852 789 725 662 599 535 472 408 345 281 
 
 .536 218 154 091 027 964 900 837 773 710 646 
 
 .537 .843 582 519 455 391 327 264 200 136 072 009 
 
 .538 .842 945 881 817 753 689 626 562 498 434 370 
 
 .539 306 242 178 114 050 986 922 857 793 729 
 
 .540 .841665 601 537 472 408 344 280 215 151 087 
 
 .541 023 958 894 830 765 701 636 572 507 443 
 
 .542 .840 378 314 249 185 120 056 991 927 862 797 
 
 .543 .839 733 668 603 539 474 409 344 280 215 150 
 
 .544 085 020 956 891 826 761 696 631 566 501 
 
 .545 .838 436 371 306 241 176 111 046 981 915 850 
 
 .546 .837 785 720 655 590 524 459 394 329 263 198 
 
 .547 133 067 002 937 871 806 740 675 609 544 
 
 .548 .836 478 413 347 282 216 151 085 019 954 888 
 
 .549 .835 822 757 691 625 559 494 428 362 296 231 
 
 .550 165 099 033 967 901 835 769 703 637 571 
 
 (17)
 
 Table I. Values of \fU^ 
 
 r 
 
 123456789 
 
 .SSO .835 165 099 033 967 901 835 769 703 637 571 
 
 .SSI .834 505 439 373 307 241 175 109 043 976 910 
 
 .SS2 .833 844 778 712 645 579 513 447 380 314 248 
 
 .553 181 115 048 982 916 849 783 716 650 583 
 
 ,SS4 .832 517 450 384 317 250 184 117 050 984 917 
 
 .SSS .831 850 784 717 650 583 517 450 383 316 249 
 
 .SS6 182 115 048 982 915 848 781 714 647 580 
 
 .SS7 .830 512 445 378 311 244 177 110 043 975 908 
 
 .SS8 .829 841 774 706 639 572 505 437 370 302 235 
 
 .559 168 100 033 965 898 830 763 695 628 560 
 
 .560 .828 493 425 357 290 222 154 087 019 951 884 
 
 .561 .827 816 748 680 612 545 477 409 341 273 205 
 
 .562 137 069 001 933 865 797 729 661 593 525 
 
 .563 .826 457 389 321 252 184 116 048 980 911 843 
 
 .564 .825 775 706 638 570 501 433 365 296 228 159 
 
 .565 091 022 954 885 817 748 680 611 543 474 
 
 .566 .824 405 337 268 199 130 062 993 924 855 787 
 
 .567 .823 718 649 580 511 442 373 304 236 167 098 
 
 .568 029 960 890 821 752 683 614 545 476 407 
 
 .569 .822 338 268 199 130 061 991 922 853 783 714 
 
 .570 .821 645 575 506 436 367 298 228 159 089 020 
 
 .571 .820 950 880 811 741 672 602 532 463 393 323 
 
 ,572 254 184 114 044 975 905 835 765 695 625 
 
 .573 .819 555 485 415 346 276 206 136 066 995 925 
 
 .574 .818 855 785 715 645 575 505 434 364 294 224 
 
 .575 153 083 013 942 872 802 731 661 591 520 
 
 .576 .817 450 379 309 238 168 097 027 956 885 815 
 
 .577 .816 744 673 603 532 461 391 320 249 178 108 
 
 .578 037 966 895 824 753 682 611 541 470 399 
 
 .579 .815 328 257 185 114 043 972 901 830 759 688 
 
 .580 .814 616 545 474 403 332 260 189 118 046 975 
 
 .581 .813 904 832 761 689 618 546 475 403 332 260 
 
 .582 189 117 046 974 902 831 759 687 616 544 
 
 .583 .812 472 400 329 257 185 113 041 969 898 826 
 
 .584 .811 754 682 610 538 466 394 322 250 178 105 
 
 .585 033 961 889 817 745 672 600 528 456 383 
 
 .586 .810 311 239 166 094 022 949 877 804 732 659 
 
 .587 .809 587 514 442 369 297 224 152 079 006 934 
 
 .588 .808861 788 716 643 570 497 424 352 279 206 
 
 .589 133 060 987 914 841 768 695 622 549 476 
 
 .590 .807 403 330 257 184 111 038 964 891 818 745 
 
 .591 .806 672 598 525 452 378 305 232 158 085 Oil 
 
 .592 .805 938 864 791 718 644 570 497 423 350 276 
 
 .593 202 129 055 981 908 834 760 686 613 539 
 
 .594 .804 465 391 317 243 170 096 022 948 874 800 
 
 .595 .803 726 652 578 504 429 355 281 207 133 059 
 
 .596 .802 984 910 836 762 687 613 539 464 390 316 
 
 .597 241 167 092 018 943 869 794 720 645 571 
 
 .598 .801 496 421 347 272 198 123 048 973 899 824 
 
 .599 .800 749 674 599 525 450 375 300 225 150 075 
 
 .600 000 925 850 775 700 625 550 475 399 324 
 
 (18)
 
 Table I. Values of VT^? 
 
 T 1234S6789 
 
 .600 .800 000 925 850 775 700 625 550 475 399 324 
 
 ,601 .799 249 174 099 023 948 873 797 722 647 571 
 
 .602 .798 496 421 345 270 194 119 043 968 892 817 
 
 .603 .797 741 666 590 514 439 363 287 212 136 060 
 
 .604 .796 984 909 833 757 681 605 529 453 377 301 
 
 .605 225 149 073 997 921 845 769 693 617 541 
 
 .606 .795 465 388 312 236 160 083 007 931 855 778 
 
 .607 .794 702 625 549 473 396 320 243 167 090 014 
 
 .608 .793 937 860 784 707 631 554 477 400 324 247 
 
 .609 170 093 017 940 863 786 709 632 555 478 
 
 .610 .792 401 324 247 170 093 016 939 862 785 708 
 
 .611 .791 631 553 476 399 322 244 167 090 012 935 
 
 .612 .790 858 780 703 626 548 471 393 316 238 160 
 
 .613 083 005 928 850 772 695 617 539 462 384 
 
 .614 .789 306 228 150 073 995 917 839 761 683 605 
 
 .615 .788 527 449 371 293 215 137 059 981 903 824 
 
 .616 .787 746 668 590 511 433 355 277 198 120 042 
 
 .617 .786 963 885 806 728 649 571 492 414 335 257 
 
 .618 178 099 021 942 863 785 706 627 549 470 
 
 .619 .785 391 312 233 154 076 997 918 839 760 681 
 
 .620 .784 602 523 444 365 286 206 127 048 969 890 
 
 .621 .783 811 731 652 573 493 414 335 255 176 097 
 
 .622 017 938 858 779 699 620 540 461 381 301 
 
 .623 .782 222 142 063 983 903 823 744 664 584 504 
 
 .624 .781424 344 265 185 105 025 945 865 785 705 
 
 .625 .780 625 545 465 384 304 224 144 064 984 903 
 
 .626 .779 823 743 662 582 502 421 341 261 180 100 
 
 .627 019 939 858 778 697 617 536 455 375 294 
 
 .628 .778 213 133 052 971 890 810 729 648 567 486 
 
 .629 .777 405 324 243 162 081 000 919 838 757 676 
 
 .630 .776 595 514 433 352 270 189 108 027 945 864 
 
 .631 .n^lSZ 701 620 539 457 376 294 213 131 050 
 
 .632 .774 968 887 805 724 642 560 479 397 315 234 
 
 .633 152 070 988 906 825 743 661 579 497 415 
 
 .634 .773 333 251 169 087 005 923 841 759 676 594 
 
 .635 .772 512 430 348 265 183 101 019 936 854 771 
 
 .636 .771 689 607 524 442 359 277 194 112 029 946 
 
 .637 .770 864 781 698 616 533 450 368 285 202 119 
 
 .638 036 953 871 788 705 622 539 456 373 290 
 
 .639 .769 207 124 041 957 874 791 708 625 541 458 
 
 .640 .768 375 292 208 125 042 958 875 791 708 624 
 
 .641 .767 541 457 374 290 207 123 039 956 872 788 
 
 .642 .766 705 621 537 453 370 286 202 118 034 950 
 
 .643 .765 866 782 698 614 530 446 362 278 194 110 
 
 .644 025 941 857 773 689 604 520 436 351 267 
 
 .645 .764 183 098 014 929 845 760 676 591 507 422 
 
 .646 .763 337 253 168 083 999 914 829 744 660 575 
 
 .647 .762 490 405 320 235 150 065 980 895 810 725 
 
 .648 .761 640 555 470 385 300 215 129 044 959 874 
 
 .649 .760 788 703 618 532 447 362 276 191 105 020 
 
 .650 .759 934 849 763 678 592 506 421 335 249 163 
 
 (19)
 
 Table L Values of Vl^=? 
 
 r 123456789 
 
 .6S0 .759 934 849 763 678 592 506 421 335 249 163 
 
 .651 078 992 906 820 734 649 563 477 391 305 
 
 .652 .758 219 133 047 961 875 789 703 616 530 444 
 
 .653 .757 358 272 185 099 013 927 840 754 667 581 
 
 .654 .756 495 408 322 235 149 062 975 889 802 716 
 
 .655 .755 629 542 455 369 282 195 108 022 935 848 
 
 .656 .754 761 674 587 500 413 326 239 152 065 978 
 
 .657 .753 891 803 716 629 542 455 367 280 193 105 
 
 .658 018 931 843 756 668 581 493 406 318 231 
 
 .659 .752 143 055 968 880 792 705 617 529 441 353 
 
 .660 .751 266 178 090 002 914 826 738 650 562 474 
 
 .661 .750 386 298 210 122 033 945 857 769 680 592 
 
 .662 .749 504 415 327 239 150 062 973 885 796 708 
 
 .663 .748 619 531 442 354 265 176 088 999 910 821 
 
 .664 .747 733 644 555 466 377 288 199 110 021 932 
 
 .665 .746 843 754 665 576 487 398 309 219 130 041 
 
 .666 .745 952 862 773 684 594 505 416 326 237 147 
 
 .667 058 968 879 789 699 610 520 430 341 251 
 
 .668 .744 161 071 982 892 802 712 622 532 442 352 
 
 .669 .743 262 172 082 992 902 812 722 632 542 451 
 
 .670 .742 361 271 181 090 000 910 819 729 638 548 
 
 .671 .741 457 367 276 186 095 005 914 823 733 642 
 
 .672 .740 551 460 370 279 188 097 006 915 824 733 
 
 .673 .739 642 551 460 369 278 187 096 005 914 823 
 
 .674 .738 731 640 549 458 366 275 183 092 001 909 
 
 .675 .737 818 726 635 543 452 360 268 177 085 993 
 
 .676 .736 902 810 718 626 534 443 351 259 167 075 
 
 .677 .735 983 891 799 707 615 523 431 339 246 154 
 
 .678 062 970 877 785 693 600 508 416 323 231 
 
 .679 .734 138 046 953 861 768 676 583 490 398 305 
 
 .680 .733 212 119 027 934 841 748 655 562 469 376 
 
 .681 .732 283 190 097 004 911 818 725 632 539 445 
 
 .682 .731 352 259 166 072 979 886 792 699 605 512 
 
 .683 .730 418 325 231 138 044 951 857 763 669 576 
 
 .684 .729 482 388 294 201 107 013 919 825 731 637 
 
 .685 .728 543 449 355 261 167 073 978 884 790 696 
 
 .686 .727 602 507 413 319 224 130 035 941 846 752 
 
 .687 .726 657 563 468 374 279 184 090 995 900 805 
 
 .688 .725 711 616 521 426 331 236 141 046 951 856 
 
 .689 .724 761 666 571 476 381 286 190 095 000 905 
 
 .690 .723 809 714 619 523 428 332 237 141 046 950 
 
 .691 .722 855 759 664 568 472 376 281 185 089 993 
 
 .692 .721 897 802 706 610 514 418 322 226 130 034 
 
 .693 .720 938 841 745 649 553 457 360 264 168 071 
 
 .694 .719 975 879 782 686 589 493 396 300 203 106 
 
 .695 010 913 816 720 623 526 429 332 236 139 
 
 .696 .718 042 945 848 751 654 557 460 363 265 168 
 
 .697 .717 071 974 877 779 682 585 487 390 293 T95 
 
 .698 .716 098 000 903 805 708 610 512 415 317 219 
 
 .699 .715 122 024 926 828 730 633 535 437 339 241 
 
 .700 .714 143 045 947 849 751 652 554 456 358 260 
 
 (20)
 
 Table I. Values of VT^=P 
 
 r 12 3 4 S 6 7 8 9 
 
 .700 .714 143 045 947 849 751 .713 652 554 456 358 260 
 
 .701 .713 161 063 965 866 768 .712669 571 473 374 276 
 
 .702 .712 177 078 980 881 782 .711684 585 486 387 289 
 
 ,703 ,711190 091 992 893 794 .710695 596 497 398 299 
 
 .704 .710 200 101 002 902 803 .709 704 605 505 406 307 
 
 .705 .709 207 108 008 909 809 .708 710 610 511 411 312 
 
 .706 .708 212 112 012 913 813 .707 713 613 513 413 314 
 
 .707 .707 214 114 014 914 813 .706 713 613 513 413 313 
 
 .708 .706 212 112 012 912 811 .705 711 610 510 409 309 
 
 .709 .705 208 108 007 907 806 .704 705 605 504 403 302 
 
 .710 .704 202 101 000 899 798 .703 697 596 495 394 293 
 
 .711 .703 192 091 990 889 787 .702 686 585 484 382 281 
 
 .712 .702 179 078 977 875 774 .701672 571 469 367 266 
 
 .713 .701164 062 961 859 757 .700 655 553 452 350 248 
 
 .714 .700 146 044 942 840 738 .699 635 533 431 329 227 
 
 .715 .699 124 022 920 818 715 .698 613 510 408 305 203 
 
 .716 .698 100 998 895 792 690 .697 587 484 382 279 176 
 
 .717 .697 073 970 867 764 661 .696 559 455 352 249 146 
 
 .718 .696 043 940 837 734 630 .695 527 424 320 217 114 
 
 .719 .695 010 907 803 700 596 .694 492 389 285 182 078 
 
 .720 .693 974 870 767 663 559 .693 455 351 247 143 039 
 
 .721 .692 935 831 727 623 519 .692 414 310 206 102 997 
 
 .722 .691893 789 684 580 475 .691371 266 162 057 953 
 
 .723 .690 848 743 639 534 429 .690 324 220 115 010 905 
 
 .724 .689 800 695 590 485 380 .689 275 170 065 959 854 
 
 .725 .688 749 644 538 433 328 .688 222 117 Oil 906 800 
 
 .726 .687 695 589 483 378 272 .687 166 061 955 849 743 
 
 .727 .686 637 532 426 320 214 .686 108 002 896 789 683 
 
 .728 .685 577 471 365 258 152 .685 046 939 833 727 620 
 
 .729 .684 514 407 301 194 087 .683 981 874 767 661 554 
 
 .730 .683 447 340 233 127 020 .682 913 806 699 592 485 
 
 .731 .682 377 270 163 056 949 .681841 734 627 519 412 
 
 .732 .681305 197 090 982 875 .680 767 659 552 444 336 
 
 .733 .680 229 121 013 905 797 .679 689 582 474 366 258 
 
 .734 .679 149 041 933 825 717 .678 609 500 392 284 175 
 
 .735 .678 067 959 850 742 633 .677 525 416 308 199 090 
 
 .736 .676 982 873 764 655 546 .676 438 329 220 111 002 
 
 .737 .675 893 784 675 565 456 .675 347 238 129 019 910 
 
 .738 .674 801 691 582 472 363 .674 253 144 034 925 815 
 
 .739 .673 705 596 486 376 266 .673 157 047 937 827 717 
 
 .740 .672 607 497 387 277 167 .672 056 946 836 726 615 
 
 .741 .671505 395 284 174 063 .670 953 842 732 621 511 
 
 .742 .670 400 289 178 068 957 .669 846 735 624 513 402 
 
 .743 .669 291 180 069 958 847 .668 736 625 514 402 291 
 
 .744 .668 180 068 957 845 734 .667 622 511 399 288 176 
 
 .745 .667 064 953 841 729 617 .666 506 394 282 170 058 
 
 .746 .665 946 834 722 610 498 .665 385 273 161 049 936 
 
 .747 .664 824 712 599 487 374 .664 262 149 037 924 811 
 
 .748 .663 699 586 473 360 248 .663 135 022 909 796 683 
 
 .749 .662 570 457 344 231 118 .662 004 891 778 665 551 
 
 .750 .661438 324 211 098 984 .660 870 757 643 530 416 
 
 (21)
 
 Table I. Values of \/T=I^ 
 
 r 12 3 4 S 6 7 8 9 
 
 .750 .661438 324 211 098 984 .660 870 757 643 530 416 
 
 .659 733 619 505 391 277 
 
 .658 592 478 364 249 135 
 
 .657 448 333 219 104 989 
 
 .656 300 185 070 955 840 
 
 .655 149 033 918 803 687 
 
 .653 994 878 762 647 531 
 
 .652 835 719 603 487 371 
 
 .651 673 557 440 324 207 
 
 .650 507 391 274 157 040 
 
 .649 338 221 104 986 869 
 
 .648 165 047 930 812 695 
 
 .646 988 870 752 634 517 
 
 .645 808 690 571 453 335 
 
 .644 624 505 386 268 149 
 
 .643 436 317 198 079 960 
 
 . 642 244 125 006 886 767 
 
 .641 049 929 809 690 570 
 
 .639 850 730 609 489 369 
 
 . 638 647 526 406 285 165 
 
 .637 440 319 198 077 956 
 
 . 636 229 108 987 865 744 
 
 .635 015 893 771 650 528 
 
 . 633 796 674 552 430 308 
 
 .632 574 451 329 206 084 
 
 .631 348 225 102 979 856 
 
 .630 117 994 871 747 624 
 
 .628 883 759 636 512 388 
 
 .627 645 521 396 272 MS 
 
 .626 402 278 153 029 904 
 
 .625 156 031 906 781 656 
 
 .623 905 780 655 529 404 
 
 .622 651 525 399 273 148 
 
 .621 392 266 140 013 887 
 
 .620 129 002 876 749 622 
 
 .618 862 735 608 481 354 
 
 .617 590 463 335 208 081 
 
 .616 315 187 059 931 803 
 
 .615 035 907 778 650 522 
 
 .613 751 622 493 364 236 
 
 .612 462 333 204 075 945 
 
 .611 169 040 910 780 651 
 
 .609 872 742 612 482 352 
 
 . 608 570 440 309 179 048 
 
 .607 264 133 002 871 740 
 
 .605 954 822 691 560 428 
 
 .604 639 507 375 243 ni 
 
 .603 319 187 054 922 790 
 
 .601 995 862 729 597 464 
 
 ,600 666 533 400 267 133 
 
 .599 333 199 066 932 798 
 
 751 
 
 .660 302 
 
 189 
 
 075 
 
 961 
 
 847 
 
 752 
 
 .659 163 
 
 049 
 
 935 
 
 821 
 
 706 
 
 753 
 
 .658 021 
 
 906 
 
 792 
 
 677 
 
 562 
 
 754 
 
 .656 874 
 
 760 
 
 645 
 
 530 
 
 415 
 
 755 
 
 .655 725 
 
 610 
 
 494 
 
 379 
 
 264 
 
 756 
 
 .654 572 
 
 456 
 
 341 
 
 225 
 
 109 
 
 757 
 
 .653 415 
 
 299 
 
 183 
 
 067 
 
 951 
 
 758 
 
 .652 255 
 
 138 
 
 022 
 
 906 
 
 789 
 
 759 
 
 .651 091 
 
 974 
 
 857 
 
 741 
 
 624 
 
 760 
 
 .649 923 
 
 806 
 
 689 
 
 572 
 
 455 
 
 761 
 
 . 648 752 
 
 635 
 
 517 
 
 400 
 
 282 
 
 762 
 
 .647 577 
 
 459 
 
 342 
 
 224 
 
 106 
 
 763 
 
 .646 398 
 
 280 
 
 162 
 
 044 
 
 926 
 
 764 
 
 .645 216 
 
 098 
 
 979 
 
 861 
 
 742 
 
 765 
 
 . 644 030 
 
 911 
 
 793 
 
 674 
 
 555 
 
 766 
 
 .642 841 
 
 721 
 
 602 
 
 483 
 
 364 
 
 767 
 
 .641 647 
 
 528 
 
 408 
 
 288 
 
 169 
 
 768 
 
 .640 450 
 
 330 
 
 210 
 
 090 
 
 970 
 
 769 
 
 .639 249 
 
 128 
 
 008 
 
 888 
 
 767 
 
 770 
 
 . 638 044 
 
 923 
 
 802 
 
 682 
 
 561 
 
 771 
 
 .636 835 
 
 714 
 
 593 
 
 472 
 
 351 
 
 772 
 
 .635 623 
 
 501 
 
 380 
 
 258 
 
 136 
 
 773 
 
 . 634 406 
 
 284 
 
 162 
 
 040 
 
 918 
 
 774 
 
 .633 186 
 
 063 
 
 941 
 
 819 
 
 696 
 
 775 
 
 .631 961 
 
 839 
 
 716 
 
 593 
 
 470 
 
 776 
 
 .630 733 
 
 610 
 
 487 
 
 364 
 
 240 
 
 777 
 
 .629 501 
 
 377 
 
 254 
 
 130 
 
 007 
 
 778 
 
 .628 264 
 
 140 
 
 017 
 
 893 
 
 769 
 
 779 
 
 .627 024 
 
 900 
 
 775 
 
 651 
 
 527 
 
 780 
 
 .625 780 
 
 655 
 
 530 
 
 405 
 
 281 
 
 781 
 
 .624 531 
 
 406 
 
 281 
 
 156 
 
 030 
 
 782 
 
 .623 278 
 
 152 
 
 027 
 
 902 
 
 776 
 
 783 
 
 .622 022 
 
 896 
 
 770 
 
 644 
 
 518 
 
 784 
 
 .620 761 
 
 635 
 
 508 
 
 382 
 
 255 
 
 785 
 
 .619 496 
 
 369 
 
 242 
 
 115 
 
 989 
 
 .786 
 
 .618 226 
 
 099 
 
 972 
 
 845 
 
 718 
 
 .787 
 
 .616 953 
 
 825 
 
 698 
 
 570 
 
 442 
 
 ,788 
 
 .615 675 
 
 547 
 
 419 
 
 291 
 
 163 
 
 .789 
 
 .614 393 
 
 265 
 
 136 
 
 008 
 
 879 
 
 .790 
 
 .613 107 
 
 978 
 
 849 
 
 720 
 
 591 
 
 .791 
 
 .611 816 
 
 687 
 
 557 
 
 428 
 
 299 
 
 .792 
 
 .610521 
 
 391 
 
 262 
 
 132 
 
 002 
 
 .793 
 
 .609 222 
 
 091 
 
 961 
 
 831 
 
 701 
 
 .794 
 
 .607 918 
 
 787 
 
 656 
 
 526 
 
 395 
 
 .795 
 
 .606 609 
 
 478 
 
 347 
 
 216 
 
 085 
 
 .796 
 
 .605 297 
 
 165 
 
 034 
 
 902 
 
 770 
 
 .797 
 
 .603 979 
 
 847 
 
 715 
 
 583 
 
 451 
 
 .798 
 
 .602 657 
 
 525 
 
 393 
 
 260 
 
 127 
 
 .799 
 
 .601 331 
 
 198 
 
 065 
 
 932 
 
 799 
 
 .800 
 
 . 600 000 
 
 867 
 
 733 
 
 600 
 
 466 
 
 (22)
 
 Table I. Values of VI — *" 
 
 r 12 3 4 5 6 7 8 9 
 
 .800 .600 000 867 733 600 466 .599 333 199 066 932 798 
 
 .801 .598 664 531 397 263 129 .597 995 861 727 592 458 
 
 .802 .597 324 190 055 921 787 .596 652 518 383 248 114 
 
 .803 .595 979 844 709 575 440 .595 305 170 035 900 764 
 
 .804 .594 629 494 359 223 088 .593 953 817 682 546 410 
 
 .805 .593 275 139 003 868 732 .592 596 460 324 188 052 
 
 .806 .591 916 779 643 507 370 .591 234 098 961 825 688 
 
 .807 .590 551 415 278 141 004 .589 868 731 594 457 320 
 
 ,808 .589 182 045 908 771 634 .588 496 359 221 084 946 
 
 .809 .587 809 671 533 396 258 .587 120 982 844 706 568 
 
 .810 .586 430 292 154 015 877 .585 739 600 462 323 185 
 
 .811 .585 046 908 769 630 491 .584 352 214 075 936 797 
 
 .812 .583 657 518 379 240 101 .582 961 822 682 543 403 
 
 .813 .582 264 124 984 845 705 .581565 425 285 145 005 
 
 .814 .580 865 725 584 444 304 .580 164 023 883 742 602 
 
 .815 .579 461 320 180 039 898 .578 757 616 475 334 193 
 
 .816 .578 052 911 769 628 487 .577 345 204 062 921 779 
 
 .877 .576 638 496 354 212 071 .575 929 787 645 503 360 
 
 .818 .575 218 076 934 791 649 .574 507 364 221 079 936 
 
 .819 .573 794 651 508 365 222 .573 079 936 793 650 507 
 
 .820 .572 364 220 077 933 790 .571647 503 359 216 072 
 
 .821 .570 928 784 640 497 353 .570 209 064 920 776 632 
 
 .822 .569 487 343 199 054 910 .568 765 620 476 331 186 
 
 .823 .568 041 896 751 606 461 .567 316 171 026 881 735 
 
 .824 .566 590 444 299 153 008 .565 862 716 570 425 279 
 
 .825 .565 133 987 841 695 548 .564 402 256 109 963 817 
 
 .826 .563 670 524 377 230 084 .562 937 790 643 496 349 
 
 .827 .562 202 055 908 760 613 .561466 318 171 023 876 
 
 .828 .560 728 580 433 285 137 .559 989 841 693 545 397 
 
 .829 .559 249 100 952 804 655 .558 507 358 210 061 912 
 
 .830 .557 763 615 466 317 168 .557 019 869 720 571 422 
 
 .831 .556 272 123 974 824 674 .555 525 375 225 075 926 
 
 .832 .554 776 626 476 325 175 .554 025 875 724 574 424 
 
 .833 .553 273 122 972 821 670 .552 519 369 218 067 916 
 
 .834 .551 764 613 462 311 159 .551 008 856 705 553 402 
 
 .835 .550 250 098 946 794 642 .549 490 338 186 034 882 
 
 .836 .548 729 577 425 272 120 .547 967 814 661 509 356 
 
 .837 .547 203 050 897 744 591 .546 437 284 131 977 824 
 
 ,838 .545 670 517 363 209 055 .544 902 7^48 594 440 286 
 
 .839 .544 131 977 823 669 514 .543 360 205 051 896 741 
 
 .840 .542 586 432 277 122 967 .541812 656 501 346 191 
 
 .841 .541035 880 724 569 413 .540 257 101 945 790 634 
 
 .842 .539 478 321 165 009 853 .538 696 540 383 227 070 
 
 .843 .537 914 757 600 443 286 .537 129 972 815 658 501 
 
 .844 .536 343 186 028 871 713 .535 556 398 240 082 924 
 
 .845 .534 766 608 450 292 134 .533 975 817 659 500 342 
 
 ,846 .533 183 024 865 707 548 .532 389 230 071 911 752 
 
 ,847 .531593 434 274 115 955 .530 795 636 476 316 156 
 
 ,848 .529 996 836 676 516 356 .529 195 035 875 714 553 
 
 ,849 .528 393 232 071 911 750 .527 589 428 266 105 944 
 
 .850 .526 783 621 460 298 137 .525 975 813 652 490 328 
 
 (23)
 
 •^ Pfl <*1 ^ ws 
 U5 Ift Ift UJ VJ 
 
 00 00 00 00 00 
 
 <oKooos© •««^^^5^«fl 
 
 W5U5«fllO<0 ;o «e «c <o to 
 
 QOOOOOQOOO OOOQOOQOOO 
 
 to N. 00 0)0 
 
 to to to to N 
 
 00 00 CO 00 00 
 
 K (v K S, K 
 
 00 00 00 00 00 
 
 0> 
 
 ^ rf r^ PI <-i 
 
 o r* « o> t 
 
 t* O Tj" t>. -< 
 
 CO N o 00 r^ 
 
 N N N 1-1 —> 
 
 10 10 in 10 u) 
 
 cj t^ w CO 'i' 
 
 00 ^•^ tc r^ 
 
 Tf 00 •I ^ t^ 
 
 to n N o 00 
 i-< 1^ t^ t-» o 
 lOlO lO lO lO 
 
 00 in CO ^ t» 
 r* t^ to ^ .- 
 
 O CO to 0> N 
 
 r» in M >-i o 
 o oo o o 
 10 10 in to in 
 
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 CO m m ^ CO 
 
 95 
 
 CO C0 11 1* 1-1 
 r^m M ^ CO 
 eoco-^moo 
 
 M*" CO I* r* 
 
 CO M iiO 95 
 rHri,^.-iO 
 
 1-1 r^o o 
 m o COM 
 
 95 00 t^ 95 
 O r« 95 95 
 h* ^ 95 95 
 
 00 r«m CO 
 
 OOOO 
 
 M»-i C0 95^ 
 M 00 CO t* O 
 
 CO t^^ com 
 r» M 00 CO 00 
 
 n n O O 95 
 MM M M ix 
 
 •-ioo5mco 
 
 O CO CO 1-1 00 
 
 mco OC0 05 
 
 CO 00 CO t>. 1-1 
 
 05 00 00 t^ r^ 
 
 CO mcom^ 
 mo -H ■* CO 
 
 im 00 M CO 
 
 cooco r»o 
 cocom •*•* 
 
 CO 
 05 O 1-1 t"« CO 
 
 n m r*co r^ 
 1-1 *• M ^ oo 
 
 CO m t« 00 00 
 
 CO M 1-1 O 05 
 
 IM rN l-H H O 
 
 mm 05 05 
 
 1-1 M *co 
 
 CO o 1-1 n 
 
 M 1-1 CO"* 
 OOCO i-iM 
 
 00 r* CO ^ 
 oooo 
 
 ^05m o r* 
 
 In. CO O CO 05 
 
 r«cM C0 00 05 
 
 t* CO 00 CO 00 
 n r4 O O 95 
 MNM Mil 
 
 00 ix CO 00 *■ 
 
 o 00 o com 
 o 00 CO i-im 
 
 *■ OO CO 00 M 
 05 00 00 t>» t^ 
 
 mo ^ CO t» 
 *• M m •-> CO 
 r^r^Tf 05O 
 
 CO O 't I"- rl 
 
 coco m t rf 
 
 05 
 
 M 00^ o t 
 coco 11 00 r* 
 
 00 M n CO 00 
 CO CO 00 95 95 
 CO M 1-1 O 95 
 ,^ ^ rH n O 
 
 M C0 95M 
 CO 11 CO O 
 m O 1 1 
 CO •* M (^ 
 95 t» CO *• 
 
 oot*co ■* 
 
 OOOO 
 
 «0 
 
 05 
 
 CON, 00 050 
 K K N KOO 
 0) 05 05 05 05 
 
 •nMO^^UJ COK00050 
 
 00 00 00 00 00 OOOOOOOOO) 
 O50505O5O5 050595^05 
 
 05 05 95 05 95 
 05 05 05 95 05 
 
 CO N. 00 05 
 05 05 05 05 
 95 05 05 05 
 
 (29)
 
 Table II. Values of 1— r^ 
 
 . 000 1 . 000 000 000 000 000 000 000 000 000 999 999 
 
 .001 .999 999 999 999 998 998 998 997 997 997 996 
 
 .002 996 996 995 995 994 994 993 993 992 992 
 
 .003 991 990 990 989 988 988 987 986 986 985 
 
 .004 984 983 982 982 981 980 979 978 977 976 
 
 .OOS 975 974 973 972 971 970 969 968 966 965 
 
 .006 964 963 962 960 959 958 956 955 954 952 
 
 .007 951 950 948 947 945 944 942 941 939 938 
 
 .008 936 934 933 931 929 928 926 924 923 921 
 
 .009 919 917 915 914 912 910 908 906 904 902 
 
 .010 900 898 896 894 892 890 888 886 883 881 
 
 Oil 879 877 875 872 870 868 865 863 861 858 
 
 .012 856 854 851 849 846 844 841 839 836 834 
 
 .013 831 828 826 823 820 818 815 812 810 807 
 
 .014 804 801 798 796 793 790 787 784 781 778 
 
 OlS 775 772 769 766 763 760 757 754 750 747 
 
 .016 744 741 738 734 731 728 724 721 718 714 
 
 .017 711 708 704 701 697 694 690 687 683 680 
 
 .018 676 672 669 665 661 658 654 650 647 643 
 
 .019 639 635 631 628 624 620 616 612 608 604 
 
 .020 600 596 592 588 584 580 576 572 567 563 
 
 .021 559 555 551 546 542 538 533 529 525 520 
 
 .022 516 512 507 503 498 494 489 485 480 476 
 
 .023 All 466 462 457 452 448 443 438 434 429 
 
 .024 424 419 414 410 405 400 395 390 385 380 
 
 .025 375 370 365 360 355 350 345 340 334 329 
 
 .026 324 319 314 308 303 298 292 287 282 276 
 
 .027 271 266 260 255 249 244 238 233 227 222 
 
 .028 216 210 205 199 193 188 182 176 171 165 
 
 .029 159 153 147 142 136 130 124 118 112 106 
 
 .030 100 094 088 082 076 070 064 058 051 045 
 
 .031 039 033 027 020 014 008 001 995 989 982 
 
 .032 .998 976 970 963 957 950 944 937 931 924 918 
 
 .033 911 904 898 891 884 878 871 864 858 851 
 
 .034 844 837 830 824 817 810 803 796 789 782 
 
 .035 775 768 761 754 747 740 733 726 718 711 
 
 .036 704 697 690 682 675 668 660 653 646 638 
 
 .037 631 624 616 609 601 594 586 579 571 564 
 
 .038 556 548 541 533 525 518 510 502 495 487 
 
 .039 479 471 463 456 448 440 432 424 416 408 
 
 .040 400 392 384 376 368 360 352 344 335 327 
 
 .041 319 311 303 294 286 278 269 261 253 244 
 
 .042 236 228 219 211 202 194 185 177 168 160 
 
 .043 151 142 134 125 116 108 099 090 082 073 
 
 .044 064 055 046 038 029 020 Oil 002 993 984 
 
 .045 .997 975 966 957 948 939 930 921 912 902 893 
 
 .046 884 875 866 856 847 838 828 819 810 800 
 
 .047 791 782 772 763 753 744 734 725 715 706 
 
 .048 696 686 677 667 657 648 638 628 619 609 
 
 .049 599 589 579 570 560 550 540 530 520 510 
 
 .050 500 490 480 470 460 450 440 430 419 409 
 
 (30)
 
 r 
 
 Table II. Values of 1— r^ 
 
 123456789 
 
 .OSO .997 500 490 480 470 460 450 440 430 419 409 
 
 ,051 399 389 379 368 358 348 337 327 317 306 
 
 ,052 296 286 275 265 254 244 233 223 212 202 
 
 .053 191 180 170 159 148 138 127 116 106 095 
 
 .054 084 073 062 052 041 030 019 008 997 986 
 
 .055 .996 975 964 953 942 931 920 909 898 886 875 
 
 .056 864 853 842 830 819 808 796 785 774 762 
 
 .057 751 740 728 717 705 694 682 671 659 648 
 
 ,058 636 624 613 601 589 578 566 554 543 531 
 
 .059 519 507 495 484 472 460 448 436 424 412 
 
 .060 400 388 376 364 352 340 328 316 303 291 
 
 .061 279 267 255 242 230 218 205 193 181 168 
 
 .062 156 144 131 119 1.06 094 081 069 056 044 
 
 .063 031 018 006 993 980 968 955 942 930 917 
 
 .064 .995 904 891 878 866 853 840 827 814 801 788 
 
 .065 775 762 749 736 723 710 697 684 670 657 
 
 .066 644 631 618 604 59^1 578 564 551 538 524 
 
 .067 511 498 484 471 457 444 430 417 403 390 
 
 .068 376 362 349 335 321 308 294 280 267 253 
 
 .069 239 225 211 198 184 170 156 142 128 114 
 
 .070 100 086 072 058 044 030 016 002 987 973 
 
 .071 .994 959 945 931 916 902 888 873 859 845 830 
 
 .072 816 802 787 773 758 744 729 715 700 686 
 
 .073 671 656 642 627 612 598 583 568 554 539 
 
 .074 524 509 494 480 465 450 435 420 405 390 
 
 .075 375 360 345 330 315 300 285 270 254 239 
 
 .076 224 209 194 178 163 148 132 117 102 086 
 
 .077 071 056 040 025 009 994 978 963 947 932 
 
 .078 .993 916 900 885 869 853 838 822 806 791 775 
 
 .079 759 743 727 712 696 680 664 648 632 616 
 
 .080 600 584 568 552 536 520 504 488 471 455 
 
 .081 439 423 407 390 374 358 341 325 309 292 
 
 .082 276 260 243 227 210 194 177 161 144 128 
 
 .083 111 094 078 061 044 028 Oil 994 978 961 
 
 .084 .992 944 927 910 894 877 860 843 826 809 792 
 
 .085 775 758 741 724 707 690 673 656 638 621 
 
 .086 604 587 570 552 535 518 500 483 466 448 
 
 .087 431 414 396 379 361 344 326 309 291 274 
 
 .088 256 238 221 203 185 168 150 132 115 097 
 
 .089 079 061 043 026 008 990 972 954 936 918 
 
 .090 .991 900 882 864 846 828 810 792 774 755 737 
 
 .091 719 701 683 664 646 628 609 591 573 554 
 
 .092 536 518 499 481 462 444 425 407 388 370 
 
 .093 351 332 314 295 276 258 239 220 202 183 
 
 .094 164 145 126 108 089 070 051 032 013 994 
 
 .095 .990 975 956 937 918 899 880 861 842 822 803 
 
 .096 784 765 746 726 707 688 668 649 630 610 
 
 .097 591 572 552 533 513 494 474 455 435 416 
 
 .098 396 376 357 337 317 298 278 258 239 219 
 
 .099 199 179 159 MO 120 100 080 060 040 020 
 
 .100 000 980 960 940 920 900 880 860 839 819 
 
 (31)
 
 Table II. Values of 1— r^ 
 
 r 1234S6789 
 
 100 .990 000 980 960 940 920 900 880 860 839 819 
 
 .101 .989 799 779 759 738 718 698 677 657 637 616 
 
 .102 596 576 555 535 514 494 473 453 432 412 
 
 .103 391 370 350 329 308 288 267 246 226 205 
 
 104 184 163 142 122 101 080 059 038 017 996 
 
 105 .988 975 954 933 912 891 870 849 828 806 785 
 
 .106 764 743 722 700 679 658 636 615 594 572 
 
 107 551 530 508 487 465 444 422 401 379 358 
 
 108 336 314 293 271 249 228 206 184 1^63 141 
 
 109 119 097 075 054 032 010 988 966 944 922 
 
 110 .987 900 878 856 834 812 790 768 746 723 701 
 
 111 679 657 635 612 590 568 545 523 501 478 
 
 112 456 434 411 389 366 344 321 299 276 254 
 .113 231 208 186 163 140 118 095 072 050 027 
 
 114 004 981 958 936 913 890 867 844 821 798 
 
 lis .986 775 752 729 706 683 660 637 614 590 567 
 
 ,116 544 521 498 474 451 428 404 381 358 334 
 
 117 311 288 264 241 217 1.94 1.70 1.47 123 100 
 
 .118 076 052 029 005 981 958 934 910 887 863 
 
 119 .985 839 815 791 768 744 720 696 672 648 624 
 
 .120 600 576 552 528 504 480 456 432 407 383 
 
 .121 359 335 311 286 262 238 213 189 165 140 
 
 .122 116 092 067 043 018 994 969 945 920 896 
 
 .123 .984 871 846 822 797 772 748 723 698 674 649 
 
 .124 624 599 574 550 525 500 475 450 425 400 
 
 12S 375 350 325 300 275 250 225 200 174 149 
 
 .126 124 099 074 048 023 998 972 947 922 896 
 
 .127 .983 871 846 820 795 769 744 718 693 667 642 
 
 .128 616 590 565 539 513 488 462 436 411 385 
 
 .129 359 333 307 282 256 230 204 178 152 126 
 
 ,130 100 074 048 022 996 970 944 918 891 865 
 
 .131 .982 839 813 787 760 734 708 681 655 629 602 
 
 .132 576 550 523 497 470 444 417 391 364 338 
 
 .133 311 284 258 231 204 178 151 124 098 071 
 
 ,134 044 017 990 964 937 910 883 856 829 802 
 
 .135 .981775 748 721 694 667 640 613 586 558 531 
 
 ,136 504 477 450 422 395 368 340 313 286 258 
 
 .137 231 204 176 149 121 094 066 039 Oil 984 
 
 .138 .980 956 928 901 873 845 818 790 762 735 707 
 
 .139 679 651 623 596 568 540 512 484 456 428 
 
 ,140 400 372 344 316 288 260 232 204 175 147 
 
 .141 119 091 063 034 006 978 949 921 893 864 
 
 .142 .979 836 808 779 751 722 694 665 637 608 580 
 
 .143 551 522 494 465 436 408 379 350 322 293 
 
 .144 264 235 206 178 149 120 091 062 033 004 
 
 .145 .978 975 946 917 888 859 830 801 772 742 713 
 
 .146 684 655 626 596 567 538 508 479 450 420 
 
 .147 391 362 332 303 273 244 214 185 155 126 
 
 ,148 096 066 037 007 977 948 918 888 859 829 
 
 .149 .977 799 769 739 710 680 650 620 590 560 530 
 
 .150 500 470 440 410 380 350 320 290 259 229 
 
 (32)
 
 r 
 
 Table II. Values of 1— i^ 
 
 123456789 
 
 .ISO .977 500 470 440 410 380 350 320 290 259 229 
 
 .151 199 169 139 108 078 048 017 987 957 928 
 
 .152 .976 896 866 835 805 774 744 713 683 652 622 
 
 .153 591 560 530 499 468 438 407 376 346 315 
 
 ,154 284 253 222 192 161 130 099 068 037 006 
 
 .155 .975 975 944 913 882 851 820 789 758 726 695 
 
 .156 664 633 602 570 539 508 476 445 414 382 
 
 .157 351 320 288 257 225 194 162 131 099 068 
 
 .158 036 004 973 941 909 878 846 814 783 751 
 
 .159 .974 719 687 655 624 592 560 528 496 454 432 
 
 .160 400 368 336 304 272 240 208 176 143 111 
 
 .161 079 047 015 982 950 918 885 853 821 788 
 
 .162 .973 756 724 691 659 626 594 561 529 496 464 
 
 .163 431 398 366 333 300 268 235 202 170 137 
 
 .164 104 071 038 006 973 940 907 874 841 808 
 
 .165 .972 775 742 709 676 643 610 577 544 510 477 
 
 .166 444 411 378 344 311 278 244 211 178 144 
 
 .167 111 078 044 Oil 977 944 910 877 843 810 
 
 .168 .971776 742 709 675 641 608 574 540 507 473 
 
 .169 439 405 371 338 304 270 236 202 168 134 
 
 .170 100 066 032 998 964 930 896 862 827 793 
 
 .171 .970 759 725 691 656 622 588 553 519 485 450 
 
 .172 416 382 347 313 278 244 209 175 140 106 
 
 .173 071 036 002 967 932 898 863 828 794 759 
 
 .174 .969 724 689 654 620 585 550 515 480 445 410 
 
 .175 375 340 305 270 235 200 165 130 094 059 
 
 .176 024 989 954 918 883 848 812 777 742 706 
 
 .177 .968 671 636 600 565 529 494 458 423 387 352 
 
 .178 316 280 245 209 173 138 102 066 031 995 
 
 179 .967 959 923 887 852 816 780 744 708 672 636 
 
 .180 600 564 528 492 456 420 384 348 311 275 
 
 .181 239 203 167 130 094 058 021 985 949 912 
 
 .182 .966 876 840 803 767 730 694 657 621 584 548 
 
 .183 511 474 438 401 364 328 291 254 218 181 
 
 .184 144 107 070 034 997 960 923 886 849 812 
 
 .185 .965 775 738 701 664 627 590 553 516 478 441 
 
 .186 404 367 330 292 255 218 180 143 106 068 
 
 .187 031 994 956 919 881 844 806 769 731 694 
 
 .188 .964 656 618 581 543 505 468 430 392 355 317 
 
 .189 279 241 203 166 128 090 052 014 976 938 
 
 .190 .963 900 862 824 786 748 710 672 634 595 557 
 
 .191 519 481 443 404 366 328 289 251 213 174 
 
 .192 136 098 059 021 982 944 905 867 828 790 
 
 .193 .962 751 712 674 635 596 558 519 480 442 403 
 
 194 364 325 286 248 209 170 131 092 053 014 
 
 .195 .961975 936 897 858 819 780 741 702 662 623 
 
 .196 584 545 506 466 427 388 348 309 270 230 
 
 .197 191 152 112 073 033 994 954 915 875 836 
 
 .198 .960 796 756 717 677 637 598 558 518 479 439 
 
 .199 399 359 319 280 240 200 160 120 030 040 
 
 .200 000 960 920 880 840 800 760 720 679 639 
 
 (33)
 
 Table II. Values of 1— r^ 
 
 r 1234S6789 
 
 .200 .960 000 960 920 880 840 800 760 720 679 639 
 
 .201 .959 599 559 519 478 438 398 357 317 277 236 
 
 .202 196 156 115 075 034 994 953 913 872 832 
 
 .203 .958 791 750 710 669 628 588 547 506 466 425 
 
 .204 384 343 302 262 221 180 139 098 057 016 
 
 .20S .957 975 934 893 852 811 770 729 688 646 605 
 
 .206 564 523 482 440 399 358 316 275 234 192 
 
 .207 151 110 068 027 985 944 902 861 819 778 
 
 .208 .956 736 694 653 611 569 528 486 444 403 361 
 
 .209 319 277 235 194 152 110 068 026 984 942 
 
 .210 .955 900 858 816 774 732 690 648 606 563 521 
 
 .211 479 437 395 352 310 268 225 183 141 098 
 
 .212 056 014 971 929 886 844 801 759 716 674 
 
 .213 .954 631 588 546 503 460 418 375 332 290 247 
 
 .214 204 161 118 076 033 990 947 904 861 818 
 
 .215 .953 775 732 689 646 603 560 517 474 430 387 
 
 .216 344 301 258 214 171 128 084 041 998 954 
 
 .217 .952 911 868 824 781 737 694 650 607 563 520 
 
 .218 476 432 389 345 301 258 214 170 127 083 
 
 .219 039 995 951 908 864 820 776 732 688 644 
 
 .220 .951 600 556 512 468 424 380 336 292 247 203 
 
 .221 159 115 071 026 982 938 893 849 805 760 
 
 .222 .950 716 672 627 583 538 494 449 405 360 316 
 
 .223 271 226 182 137 092 048 003 958 914 869 
 
 .224 .949 824 779 734 690 645 600 555 510 465 420 
 
 .225 375 330 285 240 195 150 105 060 014 969 
 
 .226 .948 924 879 834 788 743 698 652 
 
 .227 471 426 380 335 289 244 198 
 
 .228 016 970 925 879 833 788 742 
 
 .229 .947 559 513 467 422 376 330 284 
 
 .230 100 054 008 962 916 870 824 
 
 .231 .946 639 593 547 500 454 408 361 
 
 .232 176 130 083 037 990 944 897 
 
 .233 .945 711 664 618 571 524 478 431 
 
 .234 244 197 150 104 057 010 963 
 
 .235 .944 775 728 681 634 587 540 493 446 398 351 
 
 .236 304 257 210 162 115 068 020 973 926 878 
 
 .237 .943 831 784 736 689 641 594 546 499 451 404 
 
 .238 356 308 261 213 165 118 070 022 975 927 
 
 .239 .942 879 831 783 736 688 640 592 544 496 448 
 
 .240 400 352 304 256 208 160 112 064 015 967 
 
 .241 .941 919 871 823 774 726 678 629 581 533 484 
 
 .242 436 388 339 291 242 194 145 097 048 000 
 
 .243 .940 951 902 854 805 756 708 659 610 562 513 
 
 .244 464 415 36S 318 269 220 171 122 073 024 
 
 .245 .939 975 926 877 828 779 730 681 632 582 533 
 
 .246 484 435 386 336 287 238 188 139 090 040 
 
 .247 .938 991 942 892 843 793 744 694 645 595 546 
 
 .248 496 446 397 347 297 248 198 148 099 049 
 
 .249 .937 999 949 899 850 800 750 700 650 600 550 
 
 .250 500 450 400 350 300 250 200 150 099 049 
 
 (34) 
 
 607 
 
 562 
 
 516 
 
 153 
 
 107 
 
 062 
 
 696 
 
 651 
 
 605 
 
 238 
 
 192 
 
 146 
 
 778 
 
 731 
 
 685 
 
 315 
 
 269 
 
 222 
 
 851 
 
 804 
 
 758 
 
 384 
 
 338 
 
 291 
 
 916 
 
 869 
 
 822
 
 Table II. Values of 1— r* 
 
 r 1234S6789 
 
 .250 .937 500 450 400 350 300 250 200 150 099 049 
 
 .251 .936 999 949 899 848 798 748 697 647 597 546 
 
 .252 496 446 395 345 294 244 193 143 092 042 
 
 .253 .935 991 940 890 839 788 738 687 636 586 535 
 
 .254 484 433 382 332 281 230 179 128 077 026 
 
 .255 .934 975 924 873 822 771 720 669 618 566 515 
 
 .256 464 413 362 310 259 208 156 105 054 002 
 
 .257 .933 951 900 848 797 745 694 642 591 539 488 
 
 .258 436 384 333 281 229 178 126 074 023 971 
 
 .259 .932 919 867 815 764 712 660 608 556 504 452 
 
 .260 400 348 296 244 192 140 088 036 983 931 
 
 .261 .931 789 827 775 722 670 618 565 513 461 408 
 
 .262 356 304 251 199 146 094 041 989 936 884 
 
 .263 .930 831 778 726 673 620 568 515 462 410 357 
 
 .264 304 251 198 146 093 040 987 934 881 828 
 
 .265 .929 775 722 669 616 563 510 457 404 350 297 
 
 .266 244 191 138 084 031 978 924 871 818 764 
 
 .267 .928 711 658 604 551 497 444 390 337 283 230 
 
 .268 176 122 069 015 961 908 854 800 747 693 
 
 .269 .927 639 585 531 478 424 370 316 262 208 154 
 
 .270 100 046 992 938 884 830 776 722 667 613 
 
 .271 .926 559 505 451 396 342 288 233 1.79 125 070 
 
 .272 016 962 907 853 798 744 689 635 580 526 
 
 .273 .925 471 416 362 307 252 198 143 088 034 979 
 
 .274 .924 924 869 814 760 705 650 595 540 485 430 
 
 ,275 375 320 265 210 155 100 045 990 934 879 
 
 .276 .923 824 769 714 658 603 548 492 437 382 326 
 
 .277 271 216 160 105 049 994 938 883 827 772 
 
 .278 .922 716 660 605 549 493 438 382 326 271 215 
 
 .279 159 103 047 992 936 880 824 768 712 656 
 
 .280 .921600 544 488 432 376 320 264 208 151 095 
 
 .281 039 983 927 870 814 758 701 645 589 532 
 
 .282 .920 476 420 363 307 250 194 137 081 024 968 
 
 .283 .919 911 854 798 741 684 628 571 514 458 401 
 
 .284 344 287 230 174 117 060 003 946 889 832 
 
 .285 .918 775 718 661 604 547 490 433 376 318 261 
 
 .286 204 147 090 032 975 918 860 803 746 688 
 
 .287 .917 631 574 516 459 401 344 286 229 1.71 114 
 
 .288 056 998 941 883 825 768 710 652 595 537 
 
 .289 .916 479 421 363 306 248 190 132 074 016 958 
 
 .290 .915 900 842 784 726 668 610 552 494 435 377 
 
 .291 319 261 203 144 086 028 969 911 853 794 
 
 .292 .914 736 678 619 561 502 444 385 327 268 210 
 
 .293 151 092 034 975 916 858 799 740 682 623 
 
 .294 .913 564 505 446 388 329 270 211 152 093 034 
 
 .295 .912 975 916 857 798 739 680 621 562 502 443 
 
 .296 384 325 266 206 147 088 028 969 910 850 
 
 .297 .911 791 732 672 613 553 494 434 375 315 256 
 
 .298 196 136 077 017 957 898 838 778 719 659 
 
 .299 .910 599 539 479 420 360 300 240 1_80 120 060 
 
 .300 000 940 880 820 760 700 640 580 519 459 
 
 (36)
 
 Table II. Values of 1— r^ 
 
 r 123456789 
 
 .300 .910 000 940 880 820 760 700 640 580 519 459 
 
 .301 .909 399 339 279 218 158 098 037 977 917 856 
 
 .302 .908 796 736 675 615 554 494 433 373 312 252 
 
 .303 191 130 070 009 948 888 827 766 706 645 
 
 .304 .907 584 523 462 402 341 280 219 158 097 036 
 
 .305 .906 975 914 853 792 731 670 609 548 486 425 
 
 .306 364 303 242 180 119 058 996 935 874 812 
 
 .307 .905 751 690 628 567 505 444 382 321 259 198 
 
 .308 136 074 013 951 889 828 766 704 643 581 
 
 .309 .904 519 457 395 334 272 210 148 086 024 962 
 
 .310 .903 900 838 776 714 652 590 528 466 403 341 
 
 .311 279 217 155 092 030 968 905 843 781 718 
 
 .312 .902 656 594 531 469 406 344 281 219 156 094 
 
 .313 031 968 906 843 780 718 655 592 530 467 
 
 .314 .901 404 341 278 216 153 090 027 964 901 838 
 
 .31S .900 775 712 649 586 523 460 397 334 270 207 
 
 .316 144 081 018 954 891 828 764 701 638 574 
 
 .317 .899 511 448 384 321 257 194 130 067 003 940 
 
 .318 .898 876 812 749 685 621 558 494 430 367 303 
 
 .319 239 175 111 048 984 920 856 792 728 664 
 
 .320 .897 600 536 472 408 344 280 216 152 087 023 
 
 .321 .896 959 895 831 766 702 638 573 509 445 380 
 
 .322 316 252 187 123 058 994 929 865 800 736 
 
 .323 .895 671 606 542 477 412 348 283 218 154 089 
 
 .324 024 959 894 830 765 700 635 570 505 440 
 
 .32S .894 375 310 245 180 115 050 985 920 854 789 
 
 .326 .893 724 659 594 528 463 398 332 267 202 136 
 
 .327 071 006 940 875 809 744 678 613 547 482 
 
 .328 .892 416 350 285 219 153 088 022 956 891 825 
 
 .329 .891 759 693 627 562 496 430 364 298 232 166 
 
 .330 100 034 968 902 836 770 704 638 571 505 
 
 .331 .890 439 373 307 240 174 108 041 975 909 842 
 
 .332 ,889 776 710 643 577 510 444 377 311 244 178 
 
 .333 111 044 978 911 844 778 711 644 578 511 
 
 .334 .888 444 377 310 244 177 110 043 976 909 842 
 
 .335 .887 775 708 641 574 507 440 373 306 238 171 
 
 .336 104 037 970 902 835 768 700 633 566 498 
 
 .337 .886 431 364 296 229 161 094 026 959 891 824 
 
 .338 .885 756 688 621 553 485 418 350 282 215 147 
 
 .339 079 Oil 943 876 808 740 672 604 536 468 
 
 .340 .884 400 332 264 196 128 060 992 924 855 787 
 
 .341 .883 719 651 583 514 446 378 309 241 173 104 
 
 .342 036 968 899 831 762 694 625 557 488 420 
 
 .343 .882 351 282 214 145 076 008 939 870 802 733 
 
 .344 .881 664 595 526 458 389 320 251 182 113 044 
 
 .345 .880 975 906 837 768 699 630 561 492 422 353 
 
 .346 284 215 146 076 007 938 868 799 730 660 
 
 .347 .879 591 522 452 383 313 244 174 105 035 966 
 
 .348 .878 896 826 757 687 617 548 478 408 339 269 
 
 .349 199 129 059 990 920 850 780 710 640 570 
 
 .350 .877 500 430 360 290 220 150 080 010 939 869 
 
 (36)
 
 Table II. Values of 1— r^ 
 
 r 123456789 
 
 .330 .877 500 430 360 290 220 150 080 010 939 869 
 
 .351 .876 799 729 659 588 518 448 377 307 237 166 
 
 .352 096 026 955 885 814 744 673 603 532 462 
 
 .353 .875 391 320 250 179 108 038 967 896 826 755 
 
 .354 .874 684 613 542 472 401 330 259 188 117 046 
 
 .355 .873 975 904 833 762 691 620 549 478 406 335 
 
 .356 264 193 122 050 979 908 836 765 694 622 
 
 .357 .872 551 480 408 337 265 194 122 051 979 908 
 
 .358 .871 836 764 693 621 549 478 406 334 263 191 
 
 .359 119 047 975 904 832 760 688 616 544 472 
 
 .360 .870 400 328 256 184 112 040 968 896 823 751 
 
 .361 .869 679 607 535 462 390 318 245 173 101 028 
 
 .362 .868 956 884 811 739 666 594 521 449 376 304 
 
 .363 231 158 086 013 940 868 795 722 650 577 
 
 .364 .867 504 431 358 286 213 140 067 994 921 848 
 
 .365 .866 775 702 629 556 483 410 337 264 190 117 
 
 .366 044 971 898 824 751 678 604 531 458 384 
 
 .367 .865 311 238 164 091 017 944 870 797 723 650 
 
 .368 ,864 576 502 429 355 281 208 134 060 987 913 
 
 .369 .863 839 765 691 618 544 470 396 322 248 174 
 
 .370 100 026 952 878 804 730 656 582 507 433 
 
 .371 .862 359 285 211 136 062 988 913 839 765 690 
 
 .372 .861 616 542 467 393 318 244 169 095 020 946 
 
 .375 .860 871 796 722 647 572 498 423 348 274 199 
 
 .374 124 049 974 900 825 750 675 600 525 450 
 
 .375 .859 375 300 225 150 075 000 925 850 774 699 
 
 .376 .858 624 549 474 398 323 248 172 097 022 946 
 
 .377 .857 871 796 720 645 569 494 418 343 267 192 
 
 .378 116 040 965 889 813 738 662 586 511 435 
 
 .379 .856 359 283 207 132 056 980 904 828 752 676 
 
 .380 .855 600 524 448 372 296 220 144 068 991 915 
 
 .381 .854 839 763 687 610 534 458 381 305 229 152 
 
 .382 076 000 923 847 770 694 617 541 464 388 
 
 .383 .853 311 234 158 081 004 928 851 774 698 621 
 
 .384 .852 544 467 390 314 237 160 083 006 929 852 
 
 .385 .851 775 698 621 544 467 390 313 236 158 081 
 
 .386 004 927 850 772 695 618 540 463 386 308 
 
 .387 .850 231 154 076 999 921 844 766 689 611 534 
 
 .388 .849 456 378 301 223 145 068 990 912 835 757 
 
 .389 .848 679 601 523 446 368 290 212 134 056 978 
 
 .390 .847 900 822 744 666 588 510 432 354 275 197 
 
 .391 119 041 963 884 806 728 649 571 493 414 
 
 .392 .846 336 258 179 101 022 944 865 787 708 630 
 
 .393 .845 551 472 394 315 236 158 079 000 922 843 
 
 .394 .844 764 685 606 528 449 370 291 212 133 054 
 
 .395 .843 975 896 817 738 659 580 501 422 342 263 
 
 .396 184 105 025 946 867 788 708 629 550 470 
 
 .397 .842 391 312 232 153 073 994 914 835 755 676 
 
 .398 .841 596 516 437 357 277 198 118 038 959 879 
 
 .399 .840 799 719 639 560 480 400 320 240 160 080 
 
 .400 000 920 840 760 680 600 520 440 359 279 
 
 (87)
 
 Table II. Values of 1— r* 
 
 r 1234S6789 
 
 .400 .840 000 920 840 760 680 600 520 440 359 279 
 
 .401 .839 199 119 039 958 878 798 717 637 557 476 
 
 .402 .838 396 316 235 155 074 994 913 833 752 672 
 
 .403 .837 591 510 430 349 268 188 107 026 946 865 
 
 .404 .836 784 703 622 542 461 380 299 218 137 056 
 
 .405 .835 975 894 813 732 651 570 489 408 326 245 
 
 .406 164 083 002 920 839 758 676 595 514 432 
 
 .407 .834 351 270 188 107 025 944 862 781 699 618 
 
 .408 .833 536 454 373 291 209 128 046 964 883 801 
 
 .409 .832 719 637 555 474 392 310 228 146 064 982 
 
 .410 .831 900 818 736 654 572 490 408 326 243 161 
 
 .411 079 997 915 832 750 668 585 503 421 338 
 
 .412 .830 256 174 091 009 926 844 761 679 596 514 
 
 .413 .829 431 348 266 183 100 018 935 852 770 687 
 
 .414 .828 604 521 438 356 273 190 107 024 941 858 
 
 .415 .827 775 692 609 526 443 360 277 194 110 027 
 
 .416 .826 944 861 778 694 611 528 444 361 278 194 
 
 .417 111 028 944 861 777 694 610 527 443 360 
 
 .418 .825 276 192 109 025 941 858 774 690 607 523 
 
 .419 .824 439 355 271 188 104 020 936 852 768 684 
 
 .420^ .823 600 516 432 348 264 180 096 012 927 843 
 
 .421 .822 759 675 591 506 422 338 253 169 085 000 
 
 .422 .821 916 832 747 663 578 494 409 325 240 156 
 
 .423 071 986 902 817 732 648 563 478 394 309 
 
 .424 .820 224 139 054 970 885 800 715 630 545 460 
 
 .425 .819 375 290 205 120 035 950 865 780 694 609 
 
 .426 .818 524 439 354 268 183 098 012 927 842 756 
 
 .427 .817 671 586 500 415 329 244 158 073 987 902 
 
 .428 .816 816 730 645 559 473 388 302 216 131 045 
 
 .429 .815 959 873 787 702 616 530 444 358 272 186 
 
 .430 100 014 928 842 756 670 584 498 411 325 
 
 .431 .814 239 153 067 980 894 808 721 635 549 462 
 
 .432 .813 376 290 203 117 030 944 857 771 684 598 
 
 .433 .812 511 424 338 251 164 078 991 904 818 731 
 
 .434 .811 644 557 470 384 297 210 123 036 949 862 
 
 .435 .810 775 688 601 514 427 340 253 166 078 991 
 
 .436 .809 904 817 730 642 555 468 380 293 206 ^18 
 
 .437 031 944 856 769 681 194 506 419 331 244 
 
 .438 .808 156 068 981 893 805 718 630 542 455 367 
 
 .439 .807 279 191 103 016 928 840 752 664 576 488 
 
 .440 .806 400 312 224 136 048 960 872 784 695 607 
 
 .441 .805 519 431 343 254 166 078 989 901 813 724 
 
 .442 .804 636 548 459 371 282 194 105 017 928 840 
 
 .443 .803 751 662 574 485 396 308 219 130 042 953 
 
 .444 .802 864 775 686 598 509 420 331 242 153 064 
 
 .445 .801 975 886 797 708 619 530 441 352 262 173 
 
 .446 084 995 906 816 727 638 548 459 370 280 
 
 .447 .800 191 102 012 923 833 744 654 565 475 386 
 
 .448 .799 296 206 117 027 937 848 758 668 579 489 
 
 .449 .798 399 309 219 130 040 950 860 770 680 590 
 
 .450 .797 500 410 320 230 140 050 960 870 779 689 
 
 (38)
 
 Table II. Values of 1— r^ 
 
 r 1234S6789 
 
 .450 .797 500 410 320 230 140 050 960 870 779 689 
 
 .451 .796 599 509 419 328 238 148 057 967 877 786 
 
 .452 .795 696 606 515 425 334 244 153 063 972 882 
 
 .453 .794 791 700 610 519 428 338 247 156 066 975 
 
 .454 .793 884 793 702 612 521 430 339 248 157 066 
 
 .455 .792 975 884 793 702 611 520 429 338 246 155 
 
 .456 064 973 882 790 699 608 516 425 334 242 
 
 .457 .791 151 060 968 877 785 694 602 511 419 328 
 
 .458 .790 236 144 053 961 869 778 686 594 503 411 
 
 .459 .789 319 227 135 044 952 860 768 676 584 492 
 
 .460 .788 400 308 216 124 032 940 848 756 663 571 
 
 .461 .787 479 387 295 202 110 018 925 833 741 648 
 
 .462 .786 556 464 371 279 186 094 001 909 816 724 
 
 .463 .785 631 538 446 353 260 168 075 982 890 797 
 
 .464 .784 704 611 518 426 333 240 147 054 961 868 
 
 .465 .783 775 682 589 496 403 310 217 124 030 937 
 
 .466 .782 844 751 658 564 471 378 284 191 098 004 
 
 .467 .781 911 818 724 631 537 444 350 257 163 070 
 
 .468 .780 976 882 789 695 601 508 414 320 227 133 
 
 .469 039 945 851 758 664 570 476 382 288 T94 
 
 .470 .779 100 006 912 818 724 630 536 442 347 253 
 
 .471 .778 159 065 971 l76 782 688 593 499 405 310 
 
 .472 .777 216 122 027 933 838 744 649 555 460 366 
 
 .473 .776 271 176 082 987 892 798 703 608 514 419 
 
 .474 .775 324 229 134 040 945 850 755 660 565 470 
 
 .475 .774 375 280 185 090 995 900 805 710 614 519 
 
 .476 .773 424 329 234 138 043 948 852 757 662 566 
 
 .477 .772 471 376 280 185 089 994 898 803 707 612 
 
 .478 .771 516 420 325 229 133 038 942 846 751 655 
 
 .479 .770 559 463 367 272 176 080 984 888 792 696 
 
 .480 .769 600 504 408 312 216 120 024 928 831 735 
 
 .481 .768 639 543 447 350 254 158 061 965 869 772 
 
 .482 .767 676 580 483 387 290 194 097 001 904 808 
 
 .483 .766 711 614 518 421 324 228 131 034 938 841 
 
 .484 .765 744 647 550 454 357 260 163 066 969 872 
 
 .485 .764 775 678 581 484 387 290 193 096 998 901 
 
 .486 .763 804 707 610 512 415 318 220 123 026 928 
 
 .487 .762 831 734 636 539 441 344 246 149 051 954 
 
 .488 .761 856 758 661 563 465 368 270 172 075 977 
 
 .489 .760 879 781 683 586 488 390 292 194 096 998 
 
 .490 .759 900 802 704 606 508 410 312 214 115 017 
 
 .491 .758 919 821 723 624 526 428 329 231 133 034 
 
 .492 .757 936 838 739 641 542 444 345 247 148 050 
 
 .493 .756 951 852 754 655 556 458 359 260 162 063 
 
 .494 .755 964 865 766 668 569 470 371 272 173 074 
 
 .495 .754 975 876 777 678 579 480 381 282 182 083 
 
 .496 .753 984 885 786 686 587 488 388 289 190 090 
 
 .497 .752 991 892 792 693 593 494 394 295 195 096 
 
 .498 .751 996 896 797 697 597 498 398 298 199 099 
 
 .499 .750 999 899 799 700 600 500 400 300 200 100 
 
 .500 000 900 800 700 600 500 400 300 199 099 
 
 (39)
 
 .748 498 
 
 397 
 
 297 
 
 197 
 
 096 
 
 . 747 494 
 
 393 
 
 293 
 
 192 
 
 092 
 
 . 746 488 
 
 387 
 
 286 
 
 186 
 
 085 
 
 .745 480 
 
 379 
 
 278 
 
 177 
 
 076 
 
 .744 470 
 
 369 
 
 268 
 
 166 
 
 065 
 
 Table II. Values of 1— r^ 
 
 r 12 3 4 5 6 7 8 9 
 
 .500 .750 000 900 800 700 600 .749 500 400 300 199 099 
 
 .501 .748 999 899 799 698 598 
 
 .502 .747 996 896 795 695 594 
 
 .503 .746 991 890 790 689 588 
 
 .504 .745 984 883 782 682 581 
 
 .505 .744 975 874 773 672 571 
 
 .506 .743 964 863 762 660 559 .743 458 356 255 154 052 
 
 .507 .742 951 850 748 647 545 .742 444 342 241 139 038 
 
 .508 .741936 834 733 631 529 .741428 326 224 123 021 
 
 .509 .740 919 817 715 614 512 .740 410 308 206 104 002 
 
 .510 .739 900 798 696 594 492 .739 390 288 186 083 981 
 
 .511 .738 879 777 675 572 470 .738 368 265 163 061 958 
 
 .512 .737 856 754 651 549 446 .737 344 241 139 036 934 
 
 .513 .736 831 728 626 523 420 .736 318 215 112 010 907 
 
 .514 .735 804 701 598 496 393 .735 290 187 084 981 878 
 
 .515 .734 775 672 569 466 363 .734 260 157 054 950 847 
 
 .516 .733 744 641 538 434 331 .733 228 124 021 918 814 
 
 .517 .732 711 608 504 401 297 .732 194 090 987 883 780 
 
 .518 .731676 572 469 365 261 .731158 054 950 847 743 
 
 .519 .730 639 535 431 328 224 .730 120 016 912 808 704 
 
 .520 .729 600 496 392 288 184 .729 080 976 872 767 663 
 
 .521 .728 559 455 351 246 142 .728 038 933 829 725 620 
 
 .522 .727 516 412 307 203 098 .726 994 889 785 680 576 
 
 .523 .726 471 366 262 157 052 .725 948 843 738 634 529 
 
 .524 .725 424 319 214 110 005 .724 900 795 690 585 480 
 
 .525 .724 375 270 165 060 955 .723850 745 640 534 429 
 
 .526 .723 324 219 114 008 903 .722 798 692 587 482 376 
 
 .527 .722 271 166 060 955 849 .721744 638 533 427 322 
 
 .528 .721216 110 005 899 793 .720 688 582 476 371 265 
 
 .529 .720 159 053 947 842 736 .719 630 524 418 312 206 
 
 .530 .719 100 994 888 782 676 .718 570 464 358 251 145 
 
 .531 .718039 933 827 720 614 .717 508 401 295 189 082 
 
 .532 .716 976 870 763 657 550 .716 444 337 231 124 018 
 
 .533 .715 911 804 698 591 484 .715 378 271 164 058 951 
 
 .534 .714 844 737 630 524 417 .714 310 203 096 989 882 
 
 .535 .713 775 668 561 454 347 .713 240 133 026 918 811 
 
 .536 .712 704 597 490 382 275 .712 168 060 953 846 738 
 
 .537 .711631 524 416 309 201 .711094 986 879 771 664 
 
 ,538 .710 556 448 341 233 125 .710 018 910 802 695 587 
 
 ,539 .709 479 371 263 156 048 .708 940 832 724 616 508 
 
 ,540 .708 400 292 184 076 968 .707 860 752 644 535 427 
 
 ,541 .707 319 211 103 994 886 .706 778 669 561 453 344 
 
 ,542 .706 236 128 019 911 802 .705 694 585 477 368 260 
 
 ,543 .705 151 042 934 825 716 .704608 499 390 282 173 
 
 ,544 .704 064 955 846 738 629 .703 520 411 302 193 084 
 
 ,545 .702 975 866 757 648 539 .702 430 321 212 102 993 
 
 ,546 .701 884 775 666 556 447 .701 338 228 119 010 900 
 
 ,547 .700 791 682 572 463 353 .700 244 134 025 915 806 
 
 ,548 .699 696 586 477 367 257 .699 148 038 928 819 709 
 
 ,549 .698 599 489 379 270 160 .698 050 940 830 720 610 
 
 ,550 .697 500 390 280 170 060 .696 950 840 730 619 509 
 
 (46)
 
 Table II. Values of 1— r^ 
 
 r 12 3 4 S 6 7 8 9 
 
 .550 .697 500 390 280 170 060 .696 950 840 730 619 509 
 
 .695 848 737 627 517 406 
 
 .694 744 633 523 412 302 
 
 .693 638 527 416 306 195 
 
 .692 530 419 308 197 086 
 
 .691420 309 198 086 975 
 
 .690 308 196 085 974 862 
 
 .689 194 082 971 859 748 
 
 .688 078 966 854 743 631 
 
 .686 960 848 736 624 512 
 
 .685 840 728 616 503 391 
 
 .684 718 605 493 381 268 
 
 .683 594 481 369 256 144 
 
 .682 468 355 242 130 017 
 
 .681 340 227 114 001 888 
 
 .680 210 097 984 870 757 
 
 .679 078 964 851 738 624 
 
 .677 944 830 717 603 490 
 
 .676 808 694 580 467 353 
 
 .675 670 556 442 328 214 
 
 .674 530 416 302 187 073 
 
 .673 388 273 159 045 930 
 
 .672 244 129 015 900 786 
 
 .671 098 983 868 754 639 
 
 .669 950 835 720 605 490 
 
 .668 800 685 570 454 339 
 
 .667 648 532 417 302 186 
 
 .666 494 378 263 147 032 
 
 .665 338 222 106 991 875 
 
 .664 180 064 948 832 716 
 
 .663 020 904 788 671 555 
 
 .661 858 741 625 509 392 
 
 .660 694 577 461 344 228 
 
 .659 528 411 294 178 061 
 
 .658 360 243 126 009 892 
 
 .657 190 073 956 838 721 
 
 .656 018 900 783 666 548 
 
 .654 844 726 609 491 374 
 
 .653 668 550 432 315 197 
 
 .652 490 372 254 136 018 
 
 .651 310 192 074 955 837 
 
 .650 128 009 891 773 654 
 
 .648 944 825 707 588 470 
 
 .647 758 639 520 402 283 
 
 .646 570 451 332 213 094 
 
 .645 380 261 142 022 903 
 
 .644 188 068 949 830 710 
 
 .642 994 874 755 635 5^ 
 
 .641 798 678 558 439 ' 
 
 .640 600 480 360 240 
 
 .639 400 280 160 0' 
 
 (41) 
 
 .551 
 
 .696 399 
 
 289 
 
 179 
 
 068 
 
 958 
 
 .552 
 
 .695 296 
 
 186 
 
 075 
 
 965 
 
 854 
 
 .553 
 
 .694 191 
 
 080 
 
 970 
 
 859 
 
 748 
 
 ,554 
 
 . 693 084 
 
 973 
 
 862 
 
 752 
 
 641 
 
 .555 
 
 .691 975 
 
 864 
 
 753 
 
 642 
 
 531 
 
 .556 
 
 .690 864 
 
 753 
 
 642 
 
 530 
 
 419 
 
 .557 
 
 .689 751 
 
 640 
 
 528 
 
 417 
 
 305 
 
 .558 
 
 .688 636 
 
 524 
 
 413 
 
 301 
 
 189 
 
 .559 
 
 .687 519 
 
 407 
 
 295 
 
 184 
 
 072 
 
 .560 
 
 .686 400 
 
 288 
 
 176 
 
 064 
 
 952 
 
 561 
 
 . 685 279 
 
 167 
 
 055 
 
 942 
 
 830 
 
 562 
 
 .684 156 
 
 044 
 
 931 
 
 819 
 
 706 
 
 563 
 
 .683 031 
 
 918 
 
 806 
 
 693 
 
 580 
 
 564 
 
 .681 904 
 
 791 
 
 678 
 
 566 
 
 453 
 
 565 
 
 .680 775 
 
 662 
 
 549 
 
 436 
 
 323 
 
 566 
 
 .679 644 
 
 531 
 
 418 
 
 304 
 
 191 
 
 567 
 
 .678 511 
 
 398 
 
 284 
 
 171 
 
 057 
 
 568 
 
 .677 376 
 
 262 
 
 149 
 
 035 
 
 921 
 
 569 
 
 .676 239 
 
 125 
 
 Oil 
 
 898 
 
 784 
 
 570 
 
 .675 100 
 
 986 
 
 872 
 
 758 
 
 644 
 
 571 
 
 .673 959 
 
 845 
 
 731 
 
 616 
 
 502 
 
 572 
 
 .672 816 
 
 702 
 
 587 
 
 473 
 
 358 
 
 573 
 
 .671 671 
 
 556 
 
 442 
 
 327 
 
 212 
 
 574 
 
 .670 524 
 
 409 
 
 294 
 
 180 
 
 065 
 
 575 
 
 .669 375 
 
 260 
 
 145 
 
 030 
 
 915 
 
 576 
 
 .668 224 
 
 109 
 
 994 
 
 878 
 
 763 
 
 577 
 
 .667 071 
 
 956 
 
 840 
 
 725 
 
 609 
 
 578 
 
 .665 916 
 
 800 
 
 685 
 
 569 
 
 453 
 
 579 
 
 .664 759 
 
 643 
 
 527 
 
 412 
 
 296 
 
 580 
 
 .663 600 
 
 484 
 
 368 
 
 252 
 
 136 
 
 581 
 
 .662 439 
 
 323 
 
 207 
 
 090 
 
 974 
 
 582 
 
 .661 276 
 
 160 
 
 043 
 
 927 
 
 810 
 
 583 
 
 .660 111 
 
 994 
 
 878 
 
 761 
 
 644 
 
 584 
 
 .658 944 
 
 828 
 
 711 
 
 594 
 
 477 
 
 585 
 
 .657 775 
 
 658 
 
 541 
 
 424 
 
 307 
 
 586 
 
 .656 604 
 
 487 
 
 370 
 
 252 
 
 135 
 
 587 
 
 .655 431 
 
 314 
 
 196 
 
 079 
 
 961 
 
 588 
 
 . 654 256 
 
 138 
 
 021 
 
 903 
 
 785 
 
 589 
 
 .653 079 
 
 961 
 
 843 
 
 726 
 
 608 
 
 590 
 
 .651 900 
 
 782 
 
 664 
 
 546 
 
 428 
 
 591 
 
 .650 719 
 
 601 
 
 483 
 
 364 
 
 246 
 
 592 
 
 .649 536 
 
 418 
 
 299 
 
 181 
 
 062 
 
 593 
 
 .648 351 
 
 232 
 
 114 
 
 995 
 
 876 
 
 594 
 
 .647 164 
 
 045 
 
 926 
 
 808 
 
 689 
 
 595 
 
 .645 975 
 
 856 
 
 737 
 
 618 
 
 499 
 
 596 
 
 .644 784 
 
 665 
 
 546 
 
 426 
 
 307 
 
 597 
 
 .643 591 
 
 472 
 
 352 
 
 233 
 
 113 
 
 598 
 
 .642 396 
 
 276 
 
 157 
 
 037 
 
 917 
 
 599 
 
 .641 199 
 
 079 
 
 959 
 
 840 
 
 720 
 
 600 
 
 .640 000 
 
 880 
 
 760 
 
 640 
 
 520
 
 Table II. Values of 1— r^ 
 
 r 12 3 4 5 6 7 8 9 
 
 .600 .640 000 880 760 640 520 .639 400 280 160 039 919 
 
 .601 .638 799 679 559 438 318 .638 198 077 957 837 716 
 
 .602 .637 596 476 355 235 114 .636 994 873 753 632 512 
 
 ,603 .636 391 270 150 029 908 .635 788 667 546 426 305 
 
 .604 .635 184 063 942 822 701 .634 580 459 338 217 096 
 
 .60S .633 975 854 733 612 491 .633 370 249 128 006 885 
 
 .606 .632 764 643 522 400 279 .632 158 036 915 794 672 
 
 .607 .631551 430 308 187 065 .630 944 822 701 579 458 
 
 .608 .630 336 214 093 971 849 .629 728 606 484 363 241 
 
 .609 .629 119 997 875 754 632 .628 510 388 266 144 022 
 
 .610 .627 900 778 656 534 412 .627 290 168 046 923 801 
 
 .611 .626 679 557 435 312 190 .626 068 945 823 701 578 
 
 .612 .625 456 334 211 089 966 .624 844 721 599 476 354 
 
 .613 .624 231 108 986 863 740 .623 618 495 372 250 127 
 
 .614 .623 004 881 758 636 513 .622 390 267 144 021 898 
 
 .615 .621 775 652 529 406 283 .621 160 037 914 790 667 
 
 .616 .620 544 421 298 174 051 .619 928 804 681 558 434 
 
 .617 .619 311 188 064 941 817 .618 694 570 447 323 200 
 
 .618 ,618 076 952 829 705 581 .617 458 334 210 087 963 
 
 .619 .616 839 715 591 468 344 .616 220 096 972 848 724 
 
 .620 .615 600 476 352 228 104 .614 980 856 732 607 483 
 
 .621 .614 359 235 111 986 862 .613 738 613 489 365 240 
 
 .622 .613 116 992 867 743 618 .612494 369 245 120 996 
 
 .623 .611871 746 622 497 372 .611248 123 998 874 749 
 
 .624 ,610 624 499 374 250 125 ,610 000 875 750 625 500 
 
 .625 .609 375 250 125 000 875 .608 750 625 500 374 249 
 
 .626 .608 124 999 874 748 623 .607 498 372 247 122 996 
 
 .627 .606 871 746 620 495 369 .606 244 118 993 867 742 
 
 .628 .605 616 490 365 239 113 .604 988 862 736 611 485 
 
 .629 .604 359 233 107 982 856 .603 730 604 478 352 226 
 
 .630 .603 100 974 848 722 596 .602 470 344 218 091 965 
 
 .631 .601 839 713 587 460 334 .601 208 081 955 829 702 
 
 .632 .600 576 450 323 197 070 .599 944 817 691 564 438 
 
 .633 .599 311 184 058 931 804 .598 678 551 424 298 171 
 
 .634 .598 044 917 790 664 537 .597 410 283 156 029 902 
 
 .635 .596 775 648 521 394 267 .596 140 013 886 758 631 
 
 .636 .595 504 377 250 122 995 .594 868 740 613 486 358 
 
 .637 .594 231 104 976 849 721 .593 594 466 339 211 084 
 
 .638 .592 956 828 701 573 445 .592 318 190 062 935 807 
 
 .639 .591 679 551 423 296 168 .591 040 912 784 656 528 
 
 .640 .590 400 272 144 016 888 .589 760 632 504 375 247 
 
 .641 .589 119 991 863 734 606 .588 478 349 221 093 964 
 
 .642 .587 836 708 579 451 322 .587 194 065 937 808 680 
 
 .643 .586 551 422 294 165 036 .585 908 779 650 522 393 
 
 .644 .585 264 135 006 878 749 .584 620 491 362 233 104 
 
 .645 .583 975 846 717 588 459 .583 330 201 072 942 813 
 
 .646 .582 684 555 426 296 167 ,582 038 908 779 650 520 
 
 .647 .581391 262 132 003 873 .580 744 614 485 355 226 
 
 .648 .580 096 966 837 707 577 .579 448 318 188 059 929 
 
 .649 .578 799 669 539 410 280 .578 150 020 890 760 630 
 
 .650 .577 500 370 240 110 980 .576 850 720 590 459 329 
 
 (42)
 
 Table II. Values of 1— i^ 
 
 r 12 3 4 5 6 7 8 9 
 
 .650 .577 500 370 240 110 980 .576 850 720 590 459 329 
 
 .651 .576 199 069 939 808 678 .575 548 417 287 157 026 
 
 .652 .574 896 766 635 505 374 .57 A 244 113 983 852 722 
 
 .653 .573 591 460 330 199 068 .572 938 807 676 546 415 
 
 .654 .572 284 153 022 892 761 .571630 499 368 237 106 
 
 .655 .570975 844 713 582 451 .570 320 189 058 926 795 
 
 .656 .569 664 533 402 270 139 .569 008 876 745 614 482 
 
 .657 .568 351 220 088 957 825 .567 694 562 431 299 168 
 
 .658 .567 036 904 773 641 509 .566 378 246 114 983 851 
 
 .659 .565 719 587 455 324 192 .565 060 928 796 664 532 
 
 .660 .564 400 268 136 004 872 .563 740 608 476 343 211 
 
 .661 .563 079 947 815 682 550 .562 418 285 153 021 888 
 
 .662 .561 756 624 491 359 226 .561 094 961 829 696 564 
 
 .663 .560 431 298 166 033 900 .559 768 635 502 370 237 
 
 .664 .559 104 971 838 706 573 .558 440 307 174 041 908 
 
 .665 .557 775 642 509 376 243 .557 110 977 844 710 577 
 
 .666 .556 444 311 178 044 911 .555 778 644 511 378 244 
 
 .667 .555 111 978 844 711 577 .554444 310 177 043 910 
 
 .668 .553 776 642 509 375 241 .553 108 974 840 707 573 
 
 .669 .552 439 305 171 038 904 .551770 636 502 368 234 
 
 .670 .551100 966 832 698 564 .550 430 296 162 027 893 
 
 .671 .549 759 625 491 356 222 .549 088 953 819 685 550 
 
 .672 .548 416 282 147 013 878 .547 744 609 475 340 206 
 
 .673 .547 071 936 802 667 532 .546 398 263 128 994 859 
 
 .674 .545 724 589 454 320 185 .545 050 915 780 645 510 
 
 .675 .544 375 240 105 970 835 .543 700 565 430 294 159 
 
 .676 .543 024 889 754 618 483 .542 348 212 077 942 806 
 
 .677 .541671 536 400 265 129 .540 994 858 723 587 452 
 
 .678 .540 316 180 045 909 773 .539 638 502 366 231 095 
 
 .679 .538 959 823 687 552 416 .538 280 144 008 872 736 
 
 .680 .537 600 464 328 192 056 .536 920 784 648 511 375 
 
 .681 .536 239 103 967 830 694 .535 558 421 285 149 012 
 
 .682 .534 876 740 603 467 330 .534 194 057 921 784 648 
 
 .683 .533 511 374 238 101 964 .532 828 691 554 418 281 
 
 .684 .532 144 007 870 734 597 .531460 323 186 049 912 
 
 .685 .530 775 638 501 364 227 .530 090 953 816 678 541 
 
 .686 .529 404 267 130 992 855 .528 718 580 443 306 168 
 
 .687 .528 031 894 756 619 481 .527 344 206 069 931 794 
 
 .688 .526 656 518 381 243 105 .525 968 830 692 555 417 
 
 .689 .525 279 141 003 866 728 .524 590 452 314 176 038 
 
 .690 .523 900 762 624 486 348 .523 210 072 934 795 657 
 
 .691 .522 519 381 243 104 966 .521828 689 551 413 274 
 
 .692 .521 136 998 859 721 582 .520 444 305 167 028 890 
 
 .693 .519 751 612 474 335 196 .519 058 919 780 642 503 
 
 .694 .518 364 225 086 948 809 .517 670 531 392 253 114 
 
 .695 .516 975 836 697 558 419 .516 280 141 002 862 723 
 
 .696 .515 584 445 306 166 027 .514 888 748 609 470 330 
 
 .697 .514 191 052 912 773 633 .513 494 354 215 075 936 
 
 .698 .512 796 656 517 377 237 .512 098 958 818 679 539 
 
 .699 .511399 259 119 980 840 .510 700 560 420 280 140 
 
 .700 .510 000 860 720 580 440 .509 300 160 020 879 739 
 
 («8)
 
 Table II. Values of 1 — r^ 
 
 r 12 3 4 S 6 7 8 9 
 
 700 .510 000 860 720 580 440 .509 300 160 020 879 739 
 
 701 
 
 . 508 599 
 
 459 
 
 319 
 
 178 
 
 038 
 
 .507 898 
 
 757 
 
 617 
 
 477 
 
 336 
 
 702 
 
 .507 196 
 
 056 
 
 915 
 
 775 
 
 634 
 
 .506 494 
 
 353 
 
 213 
 
 072 
 
 932 
 
 703 
 
 .505 791 
 
 650 
 
 510 
 
 369 
 
 228 
 
 .505 088 
 
 947 
 
 806 
 
 666 
 
 525 
 
 704 
 
 .504 384 
 
 243 
 
 102 
 
 962 
 
 821 
 
 .503 680 
 
 539 
 
 398 
 
 257 
 
 116 
 
 70S 
 
 .502 975 
 
 834 
 
 693 
 
 552 
 
 411 
 
 . 502 270 
 
 129 
 
 988 
 
 846 
 
 705 
 
 706 
 
 .501 564 
 
 423 
 
 282 
 
 140 
 
 999 
 
 .500 858 
 
 716 
 
 575 
 
 434 
 
 292 
 
 707 
 
 .500 151 
 
 010 
 
 868 
 
 727 
 
 585 
 
 .499 444 
 
 302 
 
 161 
 
 019 
 
 878 
 
 708 
 
 .498 736 
 
 594 
 
 453 
 
 311 
 
 169 
 
 .498 028 
 
 886 
 
 744 
 
 603 
 
 461 
 
 709 
 
 .497 319 
 
 177 
 
 035 
 
 894 
 
 752 
 
 .496 610 
 
 468 
 
 326 
 
 184 
 
 042 
 
 710 
 
 .495 900 
 
 758 
 
 616 
 
 474 
 
 332 
 
 .495 190 
 
 048 
 
 906 
 
 763 
 
 621 
 
 711 
 
 .494 479 
 
 337 
 
 195 
 
 052 
 
 910 
 
 .493 768 
 
 625 
 
 483 
 
 341 
 
 198 
 
 712 
 
 .493 056 
 
 914 
 
 771 
 
 629 
 
 486 
 
 .492 344 
 
 201 
 
 059 
 
 916 
 
 774 
 
 713 
 
 .491 631 
 
 488 
 
 346 
 
 203 
 
 060 
 
 .490 918 
 
 775 
 
 632 
 
 490 
 
 347 
 
 714 
 
 .490 204 
 
 061 
 
 918 
 
 776 
 
 633 
 
 .489 490 
 
 347 
 
 204 
 
 061 
 
 918 
 
 715 
 
 .488 775 
 
 632 
 
 489 
 
 346 
 
 203 
 
 .488 060 
 
 917 
 
 774 
 
 630 
 
 487 
 
 716 
 
 .487 344 
 
 201 
 
 058 
 
 914 
 
 771 
 
 .486 628 
 
 484 
 
 341 
 
 198 
 
 054 
 
 717 
 
 .485 911 
 
 768 
 
 624 
 
 481 
 
 337 
 
 .485 194 
 
 050 
 
 907 
 
 763 
 
 620 
 
 718 
 
 .484 476 
 
 332 
 
 189 
 
 045 
 
 901 
 
 .483 758 
 
 614 
 
 470 
 
 327 
 
 183 
 
 719 
 
 .483 039 
 
 895 
 
 751 
 
 608 
 
 464 
 
 .482 320 
 
 176 
 
 032 
 
 888 
 
 744 
 
 720 
 
 .481 600 
 
 456 
 
 312 
 
 168 
 
 024 
 
 .480 880 
 
 736 
 
 592 
 
 447 
 
 303 
 
 721 
 
 .480 159 
 
 015 
 
 871 
 
 726 
 
 582 
 
 .479 438 
 
 293 
 
 149 
 
 005 
 
 860 
 
 722 
 
 .478 716 
 
 572 
 
 427 
 
 283 
 
 138 
 
 .477 994 
 
 849 
 
 705 
 
 560 
 
 416 
 
 723 
 
 .477 271 
 
 126 
 
 982 
 
 837 
 
 692 
 
 .476 548 
 
 403 
 
 258 
 
 114 
 
 969 
 
 724 
 
 .475 824 
 
 679 
 
 534 
 
 390 
 
 245 
 
 .475 100 
 
 955 
 
 810 
 
 665 
 
 520 
 
 725 
 
 .474 375 
 
 230 
 
 085 
 
 940 
 
 795 
 
 .473 650 
 
 505 
 
 360 
 
 214 
 
 069 
 
 726 
 
 .472 924 
 
 779 
 
 634 
 
 488 
 
 343 
 
 .472 198 
 
 052 
 
 907 
 
 762 
 
 616 
 
 727 
 
 .471 471 
 
 326 
 
 180 
 
 035 
 
 889 
 
 .470 744 
 
 598 
 
 453 
 
 307 
 
 162 
 
 728 
 
 .470 016 
 
 870 
 
 725 
 
 579 
 
 433 
 
 .469 288 
 
 142 
 
 996 
 
 851 
 
 705 
 
 729 
 
 .468 559 
 
 413 
 
 267 
 
 122 
 
 976 
 
 .467 830 
 
 684 
 
 538 
 
 392 
 
 246 
 
 730 
 
 .467 100 
 
 954 
 
 808 
 
 662 
 
 516 
 
 .466 370 
 
 224 
 
 078 
 
 931 
 
 785 
 
 731 
 
 .465 639 
 
 493 
 
 347 
 
 200 
 
 054 
 
 . 464 908 
 
 761 
 
 615 
 
 469 
 
 222 
 
 732 
 
 .464 176 
 
 030 
 
 883 
 
 737 
 
 590 
 
 . 463 444 
 
 297 
 
 151 
 
 004 
 
 853 
 
 733 
 
 .462 711 
 
 564 
 
 418 
 
 271 
 
 124 
 
 .461 978 
 
 831 
 
 684 
 
 538 
 
 391 
 
 734 
 
 .461 244 
 
 097 
 
 950 
 
 804 
 
 657 
 
 .460 510 
 
 363 
 
 216 
 
 069 
 
 922 
 
 735 
 
 .459 775 
 
 628 
 
 481 
 
 334 
 
 187 
 
 .459 040 
 
 893 
 
 746 
 
 598 
 
 451 
 
 736 
 
 .458 304 
 
 157 
 
 010 
 
 862 
 
 715 
 
 .457 568 
 
 420 
 
 273 
 
 126 
 
 978 
 
 737 
 
 .456 831 
 
 684 
 
 536 
 
 389 
 
 241 
 
 .456 094 
 
 946 
 
 799 
 
 651 
 
 504 
 
 738 
 
 .455 356 
 
 208 
 
 061 
 
 913 
 
 765 
 
 .454 618 
 
 470 
 
 322 
 
 175 
 
 027 
 
 739 
 
 .453 879 
 
 731 
 
 583 
 
 436 
 
 288 
 
 .453 140 
 
 992 
 
 844 
 
 696 
 
 548 
 
 740 
 
 .452 400 
 
 252 
 
 104 
 
 956 
 
 808 
 
 .451 660 
 
 512 
 
 364 
 
 215 
 
 067 
 
 741 
 
 .450 919 
 
 771 
 
 623 
 
 474 
 
 32€ 
 
 .450 178 
 
 029 
 
 881 
 
 733 
 
 584 
 
 742 
 
 .449 436 
 
 288 
 
 139 
 
 991 
 
 842 
 
 .448 694 
 
 545 
 
 397 
 
 248 
 
 100 
 
 743 
 
 .447 951 
 
 802 
 
 654 
 
 505 
 
 356 
 
 .447 208 
 
 059 
 
 910 
 
 762 
 
 613 
 
 744 
 
 .446 464 
 
 315 
 
 166 
 
 018 
 
 869 
 
 .445 720 
 
 571 
 
 422 
 
 273 
 
 124 
 
 745 
 
 .444 975 
 
 826 
 
 677 
 
 528 
 
 379 
 
 .444 230 
 
 081 
 
 932 
 
 782 
 
 633 
 
 746 
 
 . 443 484 
 
 335 
 
 186 
 
 036 
 
 887 
 
 .442 738 
 
 588 
 
 439 
 
 290 
 
 140 
 
 747 
 
 .441 991 
 
 842 
 
 692 
 
 543 
 
 393 
 
 .441 244 
 
 094 
 
 945 
 
 795 
 
 646 
 
 748 
 
 .440 496 
 
 346 
 
 197 
 
 047 
 
 897 
 
 . 439 748 
 
 598 
 
 448 
 
 299 
 
 149 
 
 749 
 
 .438 999 
 
 849 
 
 699 
 
 550 
 
 400 
 
 .438 250 
 
 100 
 
 950 
 
 800 
 
 650 
 
 750 
 
 .437 500 
 
 350 
 
 200 
 
 050 
 
 900 
 (44) 
 
 .436 750 
 
 600 
 
 450 
 
 299 
 
 149
 
 Table 11. Values of 1— i^ 
 
 r 12 3 4 5 6 7 8 9 
 
 .750 .437 500 350 200 050 900 .436 750 600 450 299 149 
 
 .751 .435 999 849 699 548 398 .435 248 097 947 797 646 
 
 .752 .434 496 346 195 045 894 .433 744 593 443 292 142 
 
 .753 .432 991 840 690 539 388 .432 238 087 936 786 635 
 
 .754 .431484 333 182 032 881 .430 730 579 428 277 126 
 
 .755 .429 975 824 673 522 371 .429 220 069 918 766 615 
 
 .756 .428 464 313 162 010 859 .427 708 556 405 254 102 
 
 .757 .426 951 800 648 497 345 .426 194 042 891 739 588 
 
 .758 .425 436 284 133 981 829 .424 678 526 374 223 071 
 
 .759 .423 919 767 615 464 312 .423 160 008 856 704 552 
 
 .760 .422 400 248 096 944 792 .421640 488 336 183 031 
 
 .761 .420 879 727 575 422 270 .420 118 965 813 661 508 
 
 .762 .419 356 204 051 899 746 .418 594 441 289 136 984 
 
 .763 .417 831 678 526 373 220 .417 068 915 762 610 457 
 
 .764 .416 304 151 998 846 693 .415 540 387 234 081 928 
 
 .765 .414 775 622 469 316 163 .414 010 857 704 550 397 
 
 .766 .413 244 091 938 784 631 .412 478 324 171 018 864 
 
 .767 .411711 558 404 251 097 .410 944 790 637 483 330 
 
 .768 .410 176 022 869 715 561 .409 408 254 100 946 793 
 
 .769 .408 639 485 331 178 024 .407 870 716 562 408 254 
 
 .770 .407 100 946 792 638 484 .406 330 176 022 867 713 
 
 .777 .405 559 405 251 096 942 .404 788 634 479 325 170 
 
 .772 .404 016 862 707 553 398 .403 244 089 935 780 626 
 
 .773 .402 471 316 162 007 852 .401698 543 388 234 079 
 
 .774 .400 924 769 614 460 305 .400 150 995 840 685 530 
 
 .775 .399 375 220 065 910 755 .398 600 445 290 134 979 
 
 .776 .397 824 669 514 358 203 .397 048 892 737 582 426 
 
 .777 .396 271 116 960 805 649 .395 494 338 183 027 872 
 
 .778 .394 716 560 405 249 093 .393 938 782 626 471 315 
 
 .779 .393 159 003 847 692 536 .392 380 224 068 912 756 
 
 .780 .391600 444 288 132 976 .390 820 664 508 351 195 
 
 .781 .390 039 883 727 570 414 .389 258 101 945 789 632 
 
 .782 .388 476 320 163 007 850 .387 694 537 381 224 068 
 
 .783 .386 911 754 598 441 284 .386 128 971 814 658 501 
 
 .784 .385 344 187 030 874 717 .384 560 403 246 089 932 
 
 .785 .383 775 618 461 304 147 .382 990 833 676 518 361 
 
 .786 .382 204 047 890 732 575 .381418 260 103 946 788 
 
 .787 .380 631 474 316 159 001 .379 844 686 529 371 214 
 
 .788 .379 056 898 741 583 425 .378 268 110 952 795 637 
 
 .789 .377 479 321 163 006 848 .376 690 532 374 216 058 
 
 .790 .375 900 742 584 426 268 .375 110 952 794 635 477 
 
 .791 .374319 161 003 844 686 .373 528 369 211 053 894 
 
 .792 .372 736 578 419 261 102 .371944 785 627 468 310 
 
 .793 .371151 992 834 675 516 .370 358 199 040 882 723 
 
 .794 .369 564 405 246 087 929 .368 770 611 452 293 134 
 
 .795 .367 975 816 657 498 339 .367 180 021 862 702 543 
 
 .796 .366 384 225 066 907 747 .365 588 428 269 110 950 
 
 .797 .364 791 632 472 313 153 .363 994 834 675 515 356 
 
 .798 .363 196 036 877 717 557 .362 398 238 078 919 759 
 
 .799 .361599 439 279 120 960 .360 800 640 480 320 160 
 
 .800 .360 000 840 680 520 360 .359 200 040 880 719 559 
 
 (46)
 
 Table II. Values of 1— r^ 
 
 r 12 3 4 S 6 7 8 9 
 
 .800 .360 000 840 680 520 360 .359 200 040 880 719 559 
 
 .801 .358 399 239 079 918 758 .357 598 437 277 117 956 
 
 .802 .356 796 636 475 315 154 .355 994 833 673 512 352 
 
 .803 .355 191 030 870 709 548 .354 388 227 066 906 745 
 
 .804 .353 584 423 262 102 941 .352 780 619 458 297 136 
 
 .80S .351975 814 653 492 331 .351170 009 848 686 525 
 
 .806 .350 364 203 042 880 719 .349 558 396 235 074 912 
 
 .807 .348 751 590 428 267 105 .347 944 782 621 459 298 
 
 .808 .347 136 974 813 651 489 .346 328 166 004 843 681 
 
 .809 .345 519 357 195 034 872 .344 710 548 386 224 062 
 
 .810 .343 900 738 576 414 252 .343 090 928 766 603 441 
 
 .811 .342 279 117 955 792 630 .341468 305 143 981 818 
 
 .812 .340 656 494 331 169 006 .339 844 681 519 356 194 
 
 .813 .339 031 868 706 543 380 .338 218 055 892 730 567 
 
 .814 .337 404 241 078 916 753 .336 590 427 264 101 938 
 
 .815 .335 775 612 449 286 123 .334 960 797 634 470 307 
 
 .816 .334 144 981 818 654 491 .333 328 164 001 838 674 
 
 .817 .332 511 348 184 021 857 .331694 530 367 203 040 
 
 .818 .330 876 712 549 385 221 .330 058 894 730 567 403 
 
 .819 .329 239 075 911 748 584 .328 420 256 092 928 764 
 
 .820 .327 600 436 272 108 944 .326 780 616 452 287 123 
 
 .821 .325 959 795 631 466 302 .325 138 973 809 645 480 
 
 .822 .324 316 152 987 823 658 .323 494 329 165 000 836 
 
 .823 .322 671 506 342 177 012 .321848 683 518 354 189 
 
 .824 .321024 859 694 530 365 .320 200 035 870 705 540 
 
 .825 .319 375 210 045 880 715 .318 550 385 220 054 889 
 
 .826 .317 724 559 394 228 063 .316 898 732 567 402 236 
 
 .827 .316 071 906 740 575 409 .315 244 078 913 747 582 
 
 .828 .314 416 250 085 919 753 .313 588 422 256 091 925 
 
 .829 .312 759 593 427 262 096 .311930 764 598 432 266 
 
 .830 .311100 934 768 602 436 .310 270 104 938 771 605 
 
 .831 .309 439 273 107 940 774 .308 608 441 275 109 942 
 
 .832 .307 776 610 443 277 110 .306 944 777 611 444 278 
 
 . 833 . 306 1 1 1 944 778 61 1 444 . 305 278 111 944 778 61 1 
 
 .834 .304444 277 110 944 777 .303 610 443 276 109 942 
 
 .835 .302 775 608 441 274 107 .301940 773 606 438 271 
 
 .836 .301104 937 770 602 435 .300 268 100 933 766 598 
 
 .837 .299 431 264 096 929 761 .298 594 426 259 091 924 
 
 .838 .297 756 588 421 253 085 .296 918 750 582 415 247 
 
 .839 .296 079 911 743 576 408 .295 240 072 904 736 568 
 
 .840 .294 400 232 064 896 728 .293 560 392 224 055 887 
 
 .841 .292 719 551 383 214 046 .291878 709 541 373 204 
 
 .842 .291036 868 699 531 362 .290 194 025 857 688 520 
 
 .843 .289 351 182 014 845 676 .288 508 339 170 002 833 
 
 .844 .287 664 495 326 158 989 .286 820 651 482 313 144 
 
 .845 .285 975 806 637 468 299 .285 130 961 792 622 453 
 
 .846 .284 284 115 946 776 607 .283 438 268 099 930 760 
 
 .847 .282 591 422 252 083 913 .281744 574 405 235 066 
 
 .848 .280 896 726 557 387 217 .280 048 878 708 539 369 
 
 .849 .279 199 029 859 690 520 .278 350 180 010 840 670 
 
 .850 .277 500 330 160 990 820 .276 650 480 310 139 969 
 
 («)
 
 Table II. Values of 1— i^ 
 
 r 12 3 4 5 6 7 8 9 
 
 .8S0 .277 500 330 160 990 820 .276 650 480 310 139 969 
 
 .851 .275 799 629 459 288 118 .274 948 777 607 437 266 
 
 .8S2 .274 096 926 755 585 414 .273 244 073 903 732 562 
 
 .853 .272 391 220 050 879 708 .271538 367 196 026 855 
 
 .854 .270684 513 342 172 001 .269 830 659 488 317 146 
 
 .855 .268 975 804 633 462 291 .268 120 949 778 606 435 
 
 .856 .267 264 093 922 750 579 .266 408 236 065 894 722 
 
 .857 .265 551 380 208 037 865 .264 694 522 351 179 008 
 
 .858 .263 836 664 493 321 149 .262 978 806 634 463 291 
 
 .859 .262 119 947 775 604 432 .261260 088 916 744 572 
 
 .860 .260 400 228 056 884 712 .259 540 368 196 023 851 
 
 .861 .258 679 507 335 162 990 .257 818 645 473 301 128 
 
 .862 .256 956 784 611 439 266 .256 094 921 749 576 404 
 
 .863 .255 231 058 886 713 540 .254 368 195 022 850 677 
 
 .864 .253 504 331 158 986 813 .252 640 467 294 121 948 
 
 .865 .251775 602 429 256 083 .250 910 737 564 390 217 
 
 .866 .250 044 871 698 524 351 .249 178 004 831 658 484 
 
 .867 .248 311 138 964 791 617 .247 444 270 097 923 750 
 
 .868 .246 576 402 229 055 881 .245 708 534 360 187 013 
 
 .869 .244 839 665 491 318 144 .243 970 796 622 448 274 
 
 .870 .243 100 926 752 578 404 .242 230 056 882 707 533 
 
 .871 .241359 185 Oil 836 662 .240 488 313 139 965 790 
 
 .872 .239 616 442 267 093 918 .238 744 569 395 220 046 
 
 .873 .237 871 696 522 347 172 .236 998 823 648 474 299 
 
 .874 .236 124 949 774 600 425 .235 250 075 900 725 550 
 
 .875 .234 375 200 025 850 675 .233 500 325 150 974 799 
 
 .876 .232 624 449 274 098 923 .231748 572 397 222 046 
 
 .877 .230 871 696 520 345 169 .229 994 818 643 467 292 
 
 .878 .229 116 940 765 589 413 .228 238 062 886 711 535 
 
 .879 .227 359 183 007 832 656 .226 480 304 128 952 776 
 
 .880 .225 600 424 248 072 896 .224 720 544 368 191 015 
 
 .881 .223 839 663 487 310 134 .222 958 781 605 429 252 
 
 .882 .222 076 900 723 547 370 .221194 017 841 664 488 
 
 .883 .220 311 134 958 781 604 .219 428 251 074 898 721 
 
 .884 .218 544 367 190 014 837 .217 660 483 306 129 952 
 
 .885 .216 775 598 421 244 067 .215 890 713 536 358 181 
 
 .886 .215 004 827 650 472 295 .214 118 940 763 586 408 
 
 .887 .213 231 054 876 699 521 .212 344 166 989 811 634 
 
 .888 .211456 278 101 923 745 .210568 390 212 035 857 
 
 .889 .209 679 501 323 146 968 .208 790 612 434 256 078 
 
 .890 .207 900 722 544 366 188 .207 010 832 654 475 297 
 
 .891 .206 119 941 763 584 406 .205 228 049 871 693 514 
 
 .892 .204 336 158 979 801 622 .203 444 265 087 908 730 
 
 .893 .202 551 372 194 015 836 .201658 479 300 122 943 
 
 .894 .200 764 585 406 228 049 .199 870 691 512 333 154 
 
 .895 .198 975 796 617 438 259 .198 080 901 722 542 363 
 
 .896 .197184 005 826 646 467 .196288 108 929 750 570 
 
 .897 .195 391 212 032 853 673 .194 494 314 135 955 776 
 
 .898 .193 596 416 237 057 877 .192 698 518 338 159 979 
 
 .899 .191799 619 439 260 080 .190 900 720 540 360 180 
 
 .900 .190 000 820 640 460 280 .189100 920 740 559 379 
 
 (47)
 
 Table 11. Values of 1— r^ 
 
 r 12 3 4 S 6 7 8 9 
 
 .900 .190 000 820 640 460 280 .189100 920 740 559 379 
 
 .901 .188 199 019 839 658 478 .187 298 117 937 757 576 
 
 .902 .186 396 216 035 855 674 .185 494 313 133 952 772 
 
 .903 .184 591 410 230 049 868 .183 688 507 326 146 965 
 
 .904 .182 784 603 422 242 061 .181880 699 518 337 156 
 
 .905 .180 975 794 613 432 251 .180 070 889 708 526 345 
 
 .906 .179164 983 802 620 439 .178258 076 895 714 532 
 
 .907 .177 351 170 988 807 625 .176 444 262 081 899 718 
 
 .908 .175 536 354 173 991 809 .174 628 446 264 083 901 
 
 .909 .173 719 537 355 174 992 .172 810 628 446 264 082 
 
 .910 .171900 718 536 354 172 .170 990 808 626 443 261 
 
 .911 .170 079 897 715 532 350 .169 168 985 803 621 438 
 
 .912 .168 256 074 891 709 526 .167 344 161 979 796 614 
 
 .913 .166 431 248 066 883 700 .165 518 335 152 970 787 
 
 .914 .164 604 421 238 056 873 .163 690 507 324 141 958 
 
 .915 .162 775 592 409 226 043 .161860 677 494 310 127 
 
 .916 .160 944 761 578 394 211 .160 028 844 661 478 294 
 
 .917 .159 111 928 744 561 377 .158 194 010 827 643 460 
 
 .918 .157 276 092 909 725 541 .156 358 174 990 807 623 
 
 .919 .155439 255 071 888 704 .154 520 336 152 968 784 
 
 .920 .153 600 416 232 048 864 .152 680 496 312 127 943 
 
 .921 .151759 575 391 206 022 .150838 653 469 285 100 
 
 .922 .149 916 732 547 363 178 .148 994 809 625 440 256 
 
 .923 .148 071 886 702 517 332 .147 148 963 778 594 409 
 
 .924 .146 224 039 854 670 485 .145 300 115 930 745 560 
 
 .925 .144 375 190 005 820 635 .143 450 265 080 894 709 
 
 .926 .142 524 339 154 968 783 .141598 412 227 042 856 
 
 .927 .140 671 486 300 115 929 .139 744 558 373 187 002 
 
 .928 .138 816 630 445 259 073 .137 888 702 516 331 145 
 
 .929 .136 959 773 587 402 216 .136 030 844 658 472 286 
 
 .930 .135 100 914 728 542 356 .134 170 984 798 611 425 
 
 .931 .133 239 053 867 680 494 .132 308 121 935 749 562 
 
 .932 .131376 190 003 817 630 .130444 257 071 884 698 
 
 .933 .129 511 324 138 951 764 .128 578 391 204 018 831 
 
 .934 .127 644 457 270 084 897 .126 710 523 336 149 962 
 
 .935 .125 775 588 401 214 027 .124 840 653 466 278 091 
 
 .936 .123 904 717 530 342 155 .122 968 780 593 406 218 
 
 .937 .122 031 844 656 469 281 .121094 906 719 531 344 
 
 .938 .120 156 968 781 593 405 .119 218 030 842 655 467 
 
 .939 .118 279 091 903 716 528 .117 340 152 964 776 588 
 
 .940 .116 400 212 024 836 648 .115 460 272 084 895 707 
 
 .941 .114 519 331 143 954 766 .113 578 389 201 013 824 
 
 .942 .112636 448 259 071 882 .111694 505 317 128 940 
 
 .943 .110 751 562 374 185 996 .109 808 619 430 242 053 
 
 .944 .108 864 675 486 298 109 .107 920 731 542 353 164 
 
 .945 .106 975 786 597 408 219 .106 030 841 652 462 273 
 
 .946 .105 084 895 706 516 327 .104 138 948 759 570 380 
 
 .947 .103 191 002 812 623 433 .102 244 054 865 675 486 
 
 .948 .101296 106 917 727 537 .100348 158 9683 7786 5888 
 
 .949 .099 3990 2092 0194 8295 6396 .098 4497 2598 0699 8800 6900 
 
 .950 .097 5000 3100 1200 9299 7398 .096 5497 3596 1695 9794 7892 
 
 (48)
 
 Table II. Values of 1 — r^ 
 
 r 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 950 
 
 .097 5000 
 
 3100 
 
 1200 
 
 9299 
 
 7398 
 
 .096 5497 
 
 3596 
 
 1695 
 
 9794 
 
 7892 
 
 951 
 
 .095 5990 
 
 4088 
 
 2186 
 
 0283 
 
 8380 
 
 .094 6477 
 
 4574 
 
 2671 
 
 0768 
 
 8864 
 
 952 
 
 .093 6960 
 
 5056 
 
 3152 
 
 1247 
 
 9342 
 
 .092 7437 
 
 5532 
 
 3627 
 
 1722 
 
 9816 
 
 953 
 
 .091 7910 
 
 6004 
 
 4098 
 
 2191 
 
 0284 
 
 .090 8377 
 
 6470 
 
 4563 
 
 2656 
 
 0748 
 
 954 
 
 .089 8840 
 
 6932 
 
 5024 
 
 3115 
 
 1206 
 
 .088 9297 
 
 7388 
 
 5479 
 
 3570 
 
 1660 
 
 955 
 
 .087 9750 
 
 7840 
 
 5930 
 
 4019 
 
 2108 
 
 .087 0197 
 
 8286 
 
 6375 
 
 4464 
 
 2552 
 
 .956 
 
 .086 0640 
 
 8728 
 
 6816 
 
 4903 
 
 2990 
 
 .085 1077 
 
 9164 
 
 7251 
 
 5338 
 
 3424 
 
 957 
 
 .084 1510 
 
 9596 
 
 7682 
 
 5767 
 
 3852 
 
 .083 1937 
 
 0022 
 
 8107 
 
 6192 
 
 4276 
 
 958 
 
 . 082 2360 
 
 0444 
 
 8528 
 
 6611 
 
 4694 
 
 .081 2777 
 
 0860 
 
 8943 
 
 '7026 
 
 5108 
 
 959 
 
 .080 3190 
 
 1272 
 
 9354 
 
 7435 
 
 5516 
 
 .079 3597 
 
 1678 
 
 9759 
 
 7840 
 
 5920 
 
 960 
 
 . 078 4000 
 
 2080 
 
 0160 
 
 8239 
 
 6318 
 
 . 077 4397 
 
 2476 
 
 0555 
 
 8634 
 
 6712 
 
 .961 
 
 .076 4790 
 
 2868 
 
 0946 
 
 9023 
 
 7100 
 
 .075 5177 
 
 3254 
 
 1331 
 
 9408 
 
 7484 
 
 962 
 
 .074 5560 
 
 3636 
 
 1712 
 
 9787 
 
 7862 
 
 . 073 5937 
 
 4012 
 
 2087 
 
 0162 
 
 8236 
 
 963 
 
 .072 6310 
 
 4384 
 
 2458 
 
 0531 
 
 8604 
 
 .071 6677 
 
 4750 
 
 2823 
 
 0896 
 
 8968 
 
 964 
 
 .070 7040 
 
 5112 
 
 3184 
 
 1255 
 
 9326 
 
 .069 7397 
 
 5468 
 
 3539 
 
 1610 
 
 9680 
 
 965 
 
 .068 7750 
 
 5820 
 
 3890 
 
 1959 
 
 0028 
 
 .067 8097 
 
 6166 
 
 4235 
 
 2304 
 
 0372 
 
 .966 
 
 . 066 8440 
 
 6508 
 
 4576 
 
 2643 
 
 0710 
 
 .065 8777 
 
 6844 
 
 4911 
 
 2978 
 
 1044 
 
 .967 
 
 .064 9110 
 
 7176 
 
 5242 
 
 3307 
 
 1372 
 
 . 063 9437 
 
 7502 
 
 5567 
 
 3632 
 
 1696 
 
 .968 
 
 .062 9760 
 
 7824 
 
 5888 
 
 3951 
 
 2014 
 
 .062 0077 
 
 8140 
 
 6203 
 
 4266 
 
 2328 
 
 .969 
 
 .061 0390 
 
 8452 
 
 6514 
 
 4575 
 
 2636 
 
 .060 0697 
 
 8758 
 
 6819 
 
 4880 
 
 2940 
 
 .970 
 
 .059 1000 
 
 9060 
 
 7120 
 
 5179 
 
 3238 
 
 .058 1297 
 
 9356 
 
 74V15 
 
 5474 
 
 3532 
 
 .971 
 
 .057 1590 
 
 9648 
 
 7706 
 
 5763 
 
 3820 
 
 .056 1877 
 
 9934 
 
 7991 
 
 6048 
 
 4104 
 
 .972 
 
 .055 2160 
 
 0216 
 
 8272 
 
 6327 
 
 4382 
 
 . 054 2437 
 
 0492 
 
 8547 
 
 6602 
 
 4656 
 
 .973 
 
 .053 2710 
 
 0764 
 
 8818 
 
 6871 
 
 4924 
 
 .052 2977 
 
 1030 
 
 9083 
 
 7136 
 
 5188 
 
 .974 
 
 .051 3240 
 
 1292 
 
 9344 
 
 7395 
 
 5446 
 
 .050 3497 
 
 1548 
 
 9599 
 
 7650 
 
 5700 
 
 .975 
 
 .049 3750 
 
 1800 
 
 9850 
 
 7899 
 
 5948 
 
 .048 3997 
 
 2046 
 
 0095 
 
 8144 
 
 6192 
 
 .976 
 
 .047 4240 
 
 2288 
 
 0336 
 
 8383 
 
 6430 
 
 . 046 4477 
 
 2524 
 
 0571 
 
 8618 
 
 6664 
 
 .977 
 
 .045 4710 
 
 2756 
 
 0802 
 
 8847 
 
 6892 
 
 .044 4937 
 
 2982 
 
 1027 
 
 9072 
 
 7116 
 
 .978 
 
 .043 5160 
 
 3204 
 
 1248 
 
 9291 
 
 7334 
 
 .042 5377 
 
 3420 
 
 1463 
 
 9506 
 
 7548 
 
 .979 
 
 .041 5590 
 
 3632 
 
 1674 
 
 9715 
 
 7756 
 
 .040 5797 
 
 3838 
 
 1879 
 
 9920 
 
 7960 
 
 .980 
 
 .039 6000 
 
 4040 
 
 2080 
 
 0119 
 
 8158 
 
 .038 6197 
 
 4236 
 
 2275 
 
 0314 
 
 8352 
 
 .981 
 
 .037 6390 
 
 4428 
 
 2466 
 
 0503 
 
 8540 
 
 .036 6577 
 
 4614 
 
 2651 
 
 0688 
 
 8724 
 
 .982 
 
 .035 6760 
 
 4796 
 
 2832 
 
 0867 
 
 8902 
 
 . 034 6937 
 
 4972 
 
 3007 
 
 1042 
 
 9076 
 
 .983 
 
 .033 7110 
 
 5144 
 
 3178 
 
 1211 
 
 9244 
 
 .032 7277 
 
 5310 
 
 3343 
 
 1376 
 
 9408 
 
 .984 
 
 .031 7440 
 
 5472 
 
 3504 
 
 1535 
 
 9566 
 
 .030 7597 
 
 5628 
 
 3659 
 
 1690 
 
 9720 
 
 .985 
 
 . 029 7750 
 
 5780 
 
 3810 
 
 1839 
 
 9868 
 
 .028 7897 
 
 5926 
 
 3955 
 
 1984 
 
 0012 
 
 .986 
 
 .027 8040 
 
 6068 
 
 4096 
 
 2123 
 
 0150 
 
 .026 8177 
 
 6204 
 
 4231 
 
 2258 
 
 0284 
 
 .987 
 
 .025 8310 
 
 6336 
 
 4362 
 
 2387 
 
 0412 
 
 . 024 8437 
 
 6462 
 
 4487 
 
 2512 
 
 0536 
 
 .988 
 
 .023 8560 
 
 6584 
 
 4608 
 
 2631 
 
 0654 
 
 .022 8677 
 
 6700 
 
 4723 
 
 2746 
 
 0768 
 
 .989 
 
 .021 8790 
 
 6812 
 
 4834 
 
 2855 
 
 0876 
 
 .020 8897 
 
 6918 
 
 4939 
 
 2960 
 
 0980 
 
 .990 
 
 .019 9000 
 
 7020 
 
 5040 
 
 3059 
 
 1078 
 
 .018 9097 
 
 7116 
 
 5135 
 
 3154 
 
 1172 
 
 .991 
 
 .017 9190 
 
 7208 
 
 5226 
 
 3243 
 
 1260 
 
 .016 9277 
 
 7294 
 
 5311 
 
 3328 
 
 1344 
 
 .992 
 
 .015 9360 
 
 7376 
 
 5392 
 
 3407 
 
 1422 
 
 .014 9437 
 
 7452 
 
 5467 
 
 3482 
 
 1496 
 
 .993 
 
 .013 9510 
 
 7524 
 
 5538 
 
 3551 
 
 1564 
 
 .012 9577 
 
 7590 
 
 5603 
 
 3616 
 
 1628 
 
 .994 
 
 .011 9640 
 
 7652 
 
 5664 
 
 3675 
 
 1686 
 
 .010 9697 
 
 7708 
 
 5719 
 
 3730 
 
 1740 
 
 .995 
 
 .009 97500 
 
 77599 
 
 57696 
 
 37791 
 
 17884 
 
 .008 97975 
 
 78064 
 
 58151 
 
 38236 
 
 18319 
 
 .996 
 
 .007 98400 
 
 78479 
 
 58556 
 
 38631 
 
 18704 
 
 .006 98775 
 
 78844 
 
 58911 
 
 38976 
 
 19039 
 
 .997 
 
 .005 99100 
 
 79159 
 
 59216 
 
 39271 
 
 19324 
 
 .004 99375 
 
 79424 
 
 59471 
 
 39516 
 
 19559 
 
 .998 
 
 .003 99600 
 
 79639 
 
 59676 
 
 39711 
 
 19744 
 
 .002 99775 
 
 79804 
 
 59831 
 
 39856 
 
 19879 
 
 .999 
 
 .001 99900 
 
 79919 
 
 59936 
 
 39951 
 
 19964 
 
 .000 99975 
 
 79984 
 
 59991 
 
 39996 
 
 19999 
 
 (49)
 
 m 
 
 I 
 I 
 
 SCIENCE AND ENGINEERING 
 
 LIBRARY 
 
 University of California, 
 
 San Diego 
 
 DAT 
 
 F. DIIF. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 SE 16 
 
 VCSD Libr.
 
 UC SOUTHERN REGIONAL LIBRARY FACILITY 
 
 A A 001 421 957 
 
 F'f B 2 z 1980
 
 ill