Summary of your 'study carrel' ============================== This is a summary of your Distant Reader 'study carrel'. The Distant Reader harvested & cached your content into a collection/corpus. It then applied sets of natural language processing and text mining against the collection. The results of this process was reduced to a database file -- a 'study carrel'. The study carrel can then be queried, thus bringing light specific characteristics for your collection. These characteristics can help you summarize the collection as well as enumerate things you might want to investigate more closely. This report is a terse narrative report, and when processing is complete you will be linked to a more complete narrative report. Eric Lease Morgan Number of items in the collection; 'How big is my corpus?' ---------------------------------------------------------- 13 Average length of all items measured in words; "More or less, how big is each item?" ------------------------------------------------------------------------------------ 33004 Average readability score of all items (0 = difficult; 100 = easy) ------------------------------------------------------------------ 94 Top 50 statistically significant keywords; "What is my collection about?" ------------------------------------------------------------------------- 2 body 1 theory 1 space 1 scientific 1 science 1 point 1 number 1 man 1 law 1 experiment 1 euclidean 1 digit 1 definition 1 constant 1 University 1 Socrates 1 Sigma 1 Science 1 Russell 1 Riemann 1 Poincaré 1 Physics 1 Number 1 Newton 1 Meno 1 Maxwell 1 Lorentz 1 Lobachevski 1 Hilbert 1 GEOMETRY 1 Euclid 1 Couturat 1 CHAPTER 1 Bonnell Top 50 lemmatized nouns; "What is discussed?" --------------------------------------------- 1006 digit 593 law 580 number 497 point 462 body 438 space 431 fact 420 time 403 science 387 principle 321 theory 313 definition 297 object 296 motion 294 velocity 272 way 264 experiment 254 hypothesis 248 sensation 244 force 242 phenomenon 242 geometry 234 example 232 part 231 question 228 case 208 sense 208 action 198 word 198 relation 196 mind 195 dimension 192 nature 189 series 188 light 187 result 185 world 179 position 179 one 178 nothing 173 system 170 form 167 day 164 current 163 element 162 thing 161 experience 154 idea 154 energy 152 electron Top 50 proper nouns; "What are the names of persons or places?" -------------------------------------------------------------- 4663 _ 284 A 250 B 146 C 121 S 113 M. 86 Meno 85 Newton 81 Socrates 71 Sigma 62 Maxwell 56 Lorentz 53 b 49 M 48 CHAPTER 47 sigma 44 + 41 Russell 41 D 40 Science 39 U 38 Euclid 37 Poincaré 36 Hilbert 34 Riemann 34 Lobachevski 33 T 29 Couturat 29 Ampère 28 Physics 27 x 25 retina 24 LeRoy 23 t 23 IV 23 II 22 III 22 Hertz 22 Helmholtz 19 Fresnel 18 q 18 n 18 P 18 Mathematical 18 A1 17 VI 17 Space 17 N 17 E 17 Carnot Top 50 personal pronouns nouns; "To whom are things referred?" ------------------------------------------------------------- 3888 it 2986 we 1604 i 1076 they 941 us 627 them 542 he 380 you 208 itself 190 me 151 themselves 134 one 129 him 118 ourselves 74 myself 62 himself 16 ours 14 she 13 oneself 7 her 4 herself 3 theirs 2 yours 2 ''s 1 yourself 1 u 1 p_2 1 ourself 1 mine Top 50 lemmatized verbs; "What do things do?" --------------------------------------------- 10555 be 3076 have 868 do 684 make 674 say 576 know 466 see 407 give 299 call 283 take 259 suppose 258 find 245 seem 243 think 228 remain 205 show 193 speak 192 go 192 come 184 become 176 regard 162 happen 160 mean 158 understand 152 define 148 lead 142 let 135 follow 134 consider 130 represent 130 form 130 apply 129 explain 128 seek 128 pass 127 put 126 wish 122 prove 121 produce 121 change 117 accord 112 depend 112 appear 110 ask 109 use 109 distinguish 106 believe 106 admit 105 teach 97 move Top 50 lemmatized adjectives and adverbs; "How are things described?" --------------------------------------------------------------------- 2509 not 996 only 719 same 600 other 599 more 565 so 563 then 501 first 411 very 358 therefore 339 true 338 even 297 great 272 different 265 now 263 certain 261 thus 258 well 255 always 251 necessary 239 long 238 just 235 new 233 still 231 most 219 mathematical 211 as 197 such 196 less 194 second 186 many 184 no 179 yet 176 much 170 simple 168 possible 168 never 165 least 158 here 156 also 151 physical 150 too 146 little 142 scientific 142 far 132 small 131 however 130 absolute 128 general 127 euclidean Top 50 lemmatized superlative adjectives; "How are things described to the extreme?" ------------------------------------------------------------------------- 159 least 41 most 33 good 19 great 15 high 7 small 6 short 5 simple 4 slight 4 near 4 fine 4 easy 4 Most 3 early 2 sure 2 strange 2 pure 2 noble 2 manif 2 deep 2 common 2 bold 1 weighty 1 vague 1 true 1 strict 1 solid 1 rough 1 rocky 1 old 1 neat 1 low 1 large 1 happy 1 grave 1 few 1 fast 1 close 1 broad 1 able Top 50 lemmatized superlative adverbs; "How do things do to the extreme?" ------------------------------------------------------------------------ 190 most 8 well 5 least 1 highest 1 farthest Top 50 Internet domains; "What Webbed places are alluded to in this corpus?" ---------------------------------------------------------------------------- Top 50 URLs; "What is hyperlinked from this corpus?" ---------------------------------------------------- Top 50 email addresses; "Who are you gonna call?" ------------------------------------------------- 1 husted@login.dknet.dk Top 50 positive assertions; "What sentences are in the shape of noun-verb-noun?" ------------------------------------------------------------------------------- 8 _ is not 7 _ is equal 6 space is not 5 way is not 4 _ is true 3 _ being inverses 3 _ does not 3 _ is very 3 _ mean _ 3 definitions are not 3 force is equal 3 geometry is only 3 principle is not 3 science is not 3 space is only 3 space is relative 3 time is logically 2 _ are inverses 2 _ has not 2 _ is _ 2 _ is identical 2 _ is large 2 _ is likewise 2 _ is therefore 2 _ represent _ 2 _ represents logical 2 cases are equally 2 experiments were not 2 forces is null 2 geometry is not 2 geometry is possible 2 geometry is true 2 law is not 2 law is only 2 law is true 2 laws are not 2 number does not 2 points are identical 2 question comes up 2 question is not 2 question was not 2 science are not 2 science is infallible 2 science is only 2 space has only 2 space is non 2 way leading thither 1 _ are _ 1 _ are determinate 1 _ are equal Top 50 negative assertions; "What sentences are in the shape of noun-verb-no|not-noun?" --------------------------------------------------------------------------------------- 2 _ is not equal 2 _ is not null 2 experiments were not sufficiently 2 way is not spherical 1 _ are not distinct 1 _ is not due 1 _ is not part 1 bodies had not already 1 definitions are no longer 1 definitions are not identical 1 definitions are not predicative 1 definitions are not satisfactory 1 example is not always 1 experiment is not enough 1 fact is not merely 1 facts is no more 1 geometries are not infinite 1 geometry are not experimental 1 geometry is not true 1 law has no longer 1 law is no longer 1 law is not verifiable 1 law was not true 1 law were not generally 1 laws are not applicable 1 laws are not artificial 1 motions was not exactly 1 parts are no longer 1 phenomena have no bond 1 principle has no meaning 1 principle is not even 1 principle is not true 1 question is not doubtful 1 question is not finite 1 question was not exhausted 1 science are not mere 1 science has not as 1 science is not comparable 1 sciences have no direct 1 senses take no part 1 space are not experimental 1 space do not also 1 space is not homogeneous 1 space is not ordinarily 1 space is not yet 1 theories are not yet 1 velocity is not too 1 way is not more A rudimentary bibliography -------------------------- id = 302 author = Husted, Michael title = The Fibonacci Number Series date = keywords = digit summary = id = 4908 author = Maxwell, James Clerk title = Five of Maxwell''s Papers date = keywords = Physics; University; body; experiment; man; science; scientific summary = adumbration of the nature of Mathematical Science in the abstract. mathematician and the physical action of the molecules are seen in The quantities which we study in mathematics and physics may be principle, according to which the physical nature of the quantity is Now a truly scientific illustration is a method to enable the mind to account for the present the difference between the physical nature of scientific opinion of his time, the research into what takes place different scientific position from those theories of molecular action different branches of science, that a molecule can be set into a state careful study of those relations between mathematics and Physics which Experiments of illustration may be of very different kinds. that the knowledge of physical science obtained by the combined use of University may give to science, when men well trained in mathematics Physical Science is an essential part of a mathematical and scientific id = 744 author = Nemiroff, Robert J. title = The Golden Mean date = keywords = Bonnell summary = This is the golden ratio, (1+sqrt(5))/2, with 1.000.000 digits. It is based on square root of 5 computed by Robert Nemiroff and Jerry Bonnell. The golden ratio = id = 39713 author = Poincaré, Henri title = The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method date = keywords = CHAPTER; Couturat; Euclid; Hilbert; Lobachevski; Lorentz; Maxwell; Newton; Poincaré; Riemann; Russell; Science; Sigma; body; definition; euclidean; law; number; point; space; theory summary = Why, then, does science actually need general theories, despite the fact confirm by definite experience the objective validity of the principles mean of that space which is the object of geometry and which I shall Finally, I shall suppose that a body transported from one point to Like Newton''s laws, and, for an analogous reason, the principle of the Experiment gives us only a certain number of isolated points. shall only have to let the law of great numbers act. effect of great numbers, the mean phenomena, alone observable, obey the if, placing myself at the objective point of view, I observe a certain space we can in fact define in magnitude and direction a certain force relative position of this object with regard to our body has changed. know the points of space, or more generally the final situation of our Knowing force, it is easy to define mass; this time the definition id = 26752 author = Ramus, Petrus title = The Way To Geometry date = keywords = GEOMETRY summary = THE WAY GEOMETRY. Being necessary and usefull, Astronomers. Engineres. Geographers. Architecks. Land-meaters. Carpenters. Sea-men. Paynters. Carvers, &c. Written by Peter Ramus Translated by William Bedwell Note from submitter: Because of the heavy dependence of this book on its diagrams and illustrations, a text version was not prepared. id = 254 author = Unknown title = The Second Story of Meno A Continuation of Socrates'' Dialogue with Meno in Which the Boy Proves Root 2 is Irrational date = keywords = Meno; Socrates summary = Meno: Yes, Socrates, and you know the path is hard, Socrates: Well said, my friend Meno, and I shall leave it at Socrates: Please, Meno, instruct the boy to merely call me Meno: You heard what Socrates, said, boy. Meno: You know that I think it is impossible, Socrates. Socrates: So you have, my boy, has he not Meno? Socrates: Then you know what odd and even are, boy? Boy: Sometimes, Socrates, but usually only with simple numbers Socrates: Now think carefully, boy, what kind of ratios can Boy: Yes. A ratio of odd over even, when multiplied times Boy: We will get a ratio of even over odd, Socrates. Boy: Yes. Socrates: And an even number is two times one whole number? Boy: We know the first number in the squared ratio cannot be odd Socrates: Yes. Boy: When we square an even over odd ratio, the first number id = 63 author = Unknown title = The Number "e" date = keywords = Number summary = The Number "e" Below is the value of ''e'' to about 100,000 places, computed on the NCSA Cray Y-MP using the Brent multiple precision routines (published as Algorithm 524 in the March 1978 issue of Transactions on Mathematical Software). The method used was to compute first the alternating series for 1/e, then to invert this result. The time to compute 1/e was about 594 seconds, and the time to invert was about 97 seconds. special optimization was attempted on the code, other than the default vectorization that the cft77 compiler attempts to do. id = 633 author = nan title = The Golden Mean or Ratio[(1+sqrt(5))/2] To 20,000 places date = keywords = constant summary = Catalan evaluation 170000 digits of gamma or Euler constant Zeta(3) or Apery Constant The Gauss-Kusmin-Wirsing constant Landau-Ramanujan constant The golden ratio: (1+sqrt(5))/2 to 20000 places. As calculated by Greg Fee using Maple Release 3 standard Catalan evaluation. of CPU on a SGI R4000 machine. It comes from formula 34.1 of page 293 of Ramanujan Notebooks, The article of Greg Fee that took those formulas appear in Computation of Catalan''s constant using Ramanujan''s Formula, by catalan := 0. 170000 digits of gamma, as calculated from a value furnished by Jon Borwein. gamma or Euler constant is Lim(n->infinity) {sum(1/k,k=1..n) log(n)} The Backhouse constant calculated by Philippe Flajolet INRIA Paris to Zeta(3) or Apery constant to 2000 places. Feigenbaum bifurcation velocity constant Feigenbaum bifurcation velocity constant The Gauss-Kuzmin-Wirsing constant. Khinchin constant to 1024 digits. Landau-Ramanujan constant calculated by Philippe Flajolet INRIA Paris The twin primes constant. The twin primes constant.