id sid tid token lemma pos d791sf28f3c 1 1 understanding understand VERB d791sf28f3c 1 2 the the DET d791sf28f3c 1 3 hydraulic hydraulic ADJ d791sf28f3c 1 4 response response NOUN d791sf28f3c 1 5 during during ADP d791sf28f3c 1 6 high high ADJ d791sf28f3c 1 7 energy energy NOUN d791sf28f3c 1 8 events event NOUN d791sf28f3c 1 9 such such ADJ d791sf28f3c 1 10 as as ADP d791sf28f3c 1 11 hurricanes hurricane NOUN d791sf28f3c 1 12 and and CCONJ d791sf28f3c 1 13 tsunamis tsunamis NOUN d791sf28f3c 1 14 is be AUX d791sf28f3c 1 15 a a DET d791sf28f3c 1 16 problem problem NOUN d791sf28f3c 1 17 of of ADP d791sf28f3c 1 18 significant significant ADJ d791sf28f3c 1 19 importance importance NOUN d791sf28f3c 1 20 to to ADP d791sf28f3c 1 21 coastal coastal ADJ d791sf28f3c 1 22 communities community NOUN d791sf28f3c 1 23 , , PUNCT d791sf28f3c 1 24 as as ADV d791sf28f3c 1 25 well well ADV d791sf28f3c 1 26 as as ADP d791sf28f3c 1 27 industries industry NOUN d791sf28f3c 1 28 which which PRON d791sf28f3c 1 29 have have VERB d791sf28f3c 1 30 infrastructure infrastructure NOUN d791sf28f3c 1 31 along along ADP d791sf28f3c 1 32 coastal coastal ADJ d791sf28f3c 1 33 waters water NOUN d791sf28f3c 1 34 . . PUNCT d791sf28f3c 2 1 due due ADP d791sf28f3c 2 2 to to ADP d791sf28f3c 2 3 the the DET d791sf28f3c 2 4 large large ADJ d791sf28f3c 2 5 range range NOUN d791sf28f3c 2 6 of of ADP d791sf28f3c 2 7 temporal temporal ADJ d791sf28f3c 2 8 and and CCONJ d791sf28f3c 2 9 spatial spatial ADJ d791sf28f3c 2 10 scales scale NOUN d791sf28f3c 2 11 present present ADJ d791sf28f3c 2 12 during during ADP d791sf28f3c 2 13 these these DET d791sf28f3c 2 14 events event NOUN d791sf28f3c 2 15 it it PRON d791sf28f3c 2 16 is be AUX d791sf28f3c 2 17 n't not PART d791sf28f3c 2 18 possible possible ADJ d791sf28f3c 2 19 to to PART d791sf28f3c 2 20 fully fully ADV d791sf28f3c 2 21 study study VERB d791sf28f3c 2 22 them they PRON d791sf28f3c 2 23 in in ADP d791sf28f3c 2 24 a a DET d791sf28f3c 2 25 laboratory laboratory NOUN d791sf28f3c 2 26 setting setting NOUN d791sf28f3c 2 27 and and CCONJ d791sf28f3c 2 28 thus thus ADV d791sf28f3c 2 29 computational computational ADJ d791sf28f3c 2 30 models model NOUN d791sf28f3c 2 31 are be AUX d791sf28f3c 2 32 the the DET d791sf28f3c 2 33 standard standard ADJ d791sf28f3c 2 34 approach approach NOUN d791sf28f3c 2 35 to to ADP d791sf28f3c 2 36 simulating simulate VERB d791sf28f3c 2 37 hurricanes hurricane NOUN d791sf28f3c 2 38 and and CCONJ d791sf28f3c 2 39 tsunamis tsunamis NOUN d791sf28f3c 2 40 . . PUNCT d791sf28f3c 3 1 the the DET d791sf28f3c 3 2 current current ADJ d791sf28f3c 3 3 suite suite NOUN d791sf28f3c 3 4 of of ADP d791sf28f3c 3 5 ocean ocean NOUN d791sf28f3c 3 6 circulation circulation NOUN d791sf28f3c 3 7 models model NOUN d791sf28f3c 3 8 used use VERB d791sf28f3c 3 9 in in ADP d791sf28f3c 3 10 the the DET d791sf28f3c 3 11 coastal coastal ADJ d791sf28f3c 3 12 hydraulics hydraulic NOUN d791sf28f3c 3 13 community community NOUN d791sf28f3c 3 14 solve solve VERB d791sf28f3c 3 15 the the DET d791sf28f3c 3 16 hydrostatic hydrostatic ADJ d791sf28f3c 3 17 depth depth NOUN d791sf28f3c 3 18 -- -- PUNCT d791sf28f3c 3 19 averaged average VERB d791sf28f3c 3 20 shallow shallow ADJ d791sf28f3c 3 21 water water NOUN d791sf28f3c 3 22 equations equation NOUN d791sf28f3c 3 23 ( ( PUNCT d791sf28f3c 3 24 swe swe VERB d791sf28f3c 3 25 ) ) PUNCT d791sf28f3c 3 26 which which PRON d791sf28f3c 3 27 are be AUX d791sf28f3c 3 28 adept adept ADJ d791sf28f3c 3 29 at at ADP d791sf28f3c 3 30 representing represent VERB d791sf28f3c 3 31 the the DET d791sf28f3c 3 32 hydraulic hydraulic ADJ d791sf28f3c 3 33 response response NOUN d791sf28f3c 3 34 to to ADP d791sf28f3c 3 35 the the DET d791sf28f3c 3 36 hurricane hurricane NOUN d791sf28f3c 3 37 wind wind NOUN d791sf28f3c 3 38 and and CCONJ d791sf28f3c 3 39 pressure pressure NOUN d791sf28f3c 3 40 forces force NOUN d791sf28f3c 3 41 and and CCONJ d791sf28f3c 3 42 the the DET d791sf28f3c 3 43 ensuing ensue VERB d791sf28f3c 3 44 storm storm NOUN d791sf28f3c 3 45 surge surge NOUN d791sf28f3c 3 46 runup runup VERB d791sf28f3c 3 47 along along ADP d791sf28f3c 3 48 the the DET d791sf28f3c 3 49 coast coast NOUN d791sf28f3c 3 50 but but CCONJ d791sf28f3c 3 51 are be AUX d791sf28f3c 3 52 unable unable ADJ d791sf28f3c 3 53 to to PART d791sf28f3c 3 54 capture capture VERB d791sf28f3c 3 55 the the DET d791sf28f3c 3 56 higher high ADJ d791sf28f3c 3 57 frequency frequency NOUN d791sf28f3c 3 58 gravity gravity NOUN d791sf28f3c 3 59 and and CCONJ d791sf28f3c 3 60 infragravity infragravity NOUN d791sf28f3c 3 61 waves wave NOUN d791sf28f3c 3 62 that that PRON d791sf28f3c 3 63 are be AUX d791sf28f3c 3 64 generated generate VERB d791sf28f3c 3 65 nearshore nearshore PROPN d791sf28f3c 3 66 . . PUNCT d791sf28f3c 4 1 through through ADP d791sf28f3c 4 2 the the DET d791sf28f3c 4 3 use use NOUN d791sf28f3c 4 4 of of ADP d791sf28f3c 4 5 boussinesq boussinesq NOUN d791sf28f3c 4 6 scaling scale VERB d791sf28f3c 4 7 a a DET d791sf28f3c 4 8 model model NOUN d791sf28f3c 4 9 is be AUX d791sf28f3c 4 10 developed develop VERB d791sf28f3c 4 11 for for ADP d791sf28f3c 4 12 resolving resolve VERB d791sf28f3c 4 13 non non ADJ d791sf28f3c 4 14 -- -- ADJ d791sf28f3c 4 15 hydrostatic hydrostatic ADJ d791sf28f3c 4 16 pressure pressure NOUN d791sf28f3c 4 17 profiles profile NOUN d791sf28f3c 4 18 in in ADP d791sf28f3c 4 19 nonlinear nonlinear ADJ d791sf28f3c 4 20 wave wave NOUN d791sf28f3c 4 21 systems system NOUN d791sf28f3c 4 22 over over ADP d791sf28f3c 4 23 varying vary VERB d791sf28f3c 4 24 bathymetry bathymetry NOUN d791sf28f3c 4 25 . . PUNCT d791sf28f3c 5 1 in in ADP d791sf28f3c 5 2 contrast contrast NOUN d791sf28f3c 5 3 to to ADP d791sf28f3c 5 4 standard standard ADJ d791sf28f3c 5 5 boussinesq boussinesq ADJ d791sf28f3c 5 6 -- -- PUNCT d791sf28f3c 5 7 type type NOUN d791sf28f3c 5 8 models model NOUN d791sf28f3c 5 9 , , PUNCT d791sf28f3c 5 10 the the DET d791sf28f3c 5 11 model model NOUN d791sf28f3c 5 12 developed develop VERB d791sf28f3c 5 13 here here ADV d791sf28f3c 5 14 focuses focus VERB d791sf28f3c 5 15 on on ADP d791sf28f3c 5 16 solutions solution NOUN d791sf28f3c 5 17 to to ADP d791sf28f3c 5 18 the the DET d791sf28f3c 5 19 well well ADV d791sf28f3c 5 20 known know VERB d791sf28f3c 5 21 pressure pressure NOUN d791sf28f3c 5 22 -- -- PUNCT d791sf28f3c 5 23 poisson poisson NOUN d791sf28f3c 5 24 problem problem NOUN d791sf28f3c 5 25 , , PUNCT d791sf28f3c 5 26 with with ADP d791sf28f3c 5 27 the the DET d791sf28f3c 5 28 advantage advantage NOUN d791sf28f3c 5 29 that that SCONJ d791sf28f3c 5 30 the the DET d791sf28f3c 5 31 pressure pressure NOUN d791sf28f3c 5 32 -- -- PUNCT d791sf28f3c 5 33 poisson poisson NOUN d791sf28f3c 5 34 equations equation NOUN d791sf28f3c 5 35 are be AUX d791sf28f3c 5 36 a a DET d791sf28f3c 5 37 stand stand NOUN d791sf28f3c 5 38 alone alone ADJ d791sf28f3c 5 39 set set NOUN d791sf28f3c 5 40 of of ADP d791sf28f3c 5 41 equations equation NOUN d791sf28f3c 5 42 which which PRON d791sf28f3c 5 43 do do AUX d791sf28f3c 5 44 not not PART d791sf28f3c 5 45 exhibit exhibit VERB d791sf28f3c 5 46 mixed mixed ADJ d791sf28f3c 5 47 space space NOUN d791sf28f3c 5 48 / / SYM d791sf28f3c 5 49 time time NOUN d791sf28f3c 5 50 derivatives derivative NOUN d791sf28f3c 5 51 . . PUNCT d791sf28f3c 6 1 the the DET d791sf28f3c 6 2 result result NOUN d791sf28f3c 6 3 is be AUX d791sf28f3c 6 4 a a DET d791sf28f3c 6 5 boussinesq boussinesq ADJ d791sf28f3c 6 6 -- -- PUNCT d791sf28f3c 6 7 type type NOUN d791sf28f3c 6 8 pressure pressure NOUN d791sf28f3c 6 9 -- -- PUNCT d791sf28f3c 6 10 poisson poisson NOUN d791sf28f3c 6 11 model model NOUN d791sf28f3c 6 12 ( ( PUNCT d791sf28f3c 6 13 ppbouss ppbouss PROPN d791sf28f3c 6 14 ) ) PUNCT d791sf28f3c 6 15 that that PRON d791sf28f3c 6 16 can can AUX d791sf28f3c 6 17 be be AUX d791sf28f3c 6 18 solved solve VERB d791sf28f3c 6 19 in in ADP d791sf28f3c 6 20 a a DET d791sf28f3c 6 21 separate separate ADJ d791sf28f3c 6 22 module module NOUN d791sf28f3c 6 23 and and CCONJ d791sf28f3c 6 24 then then ADV d791sf28f3c 6 25 coupled couple VERB d791sf28f3c 6 26 back back ADV d791sf28f3c 6 27 into into ADP d791sf28f3c 6 28 the the DET d791sf28f3c 6 29 swe swe ADJ d791sf28f3c 6 30 model model NOUN d791sf28f3c 6 31 . . PUNCT d791sf28f3c 7 1 this this PRON d791sf28f3c 7 2 allows allow VERB d791sf28f3c 7 3 for for ADP d791sf28f3c 7 4 the the DET d791sf28f3c 7 5 straightforward straightforward ADJ d791sf28f3c 7 6 modification modification NOUN d791sf28f3c 7 7 of of ADP d791sf28f3c 7 8 established establish VERB d791sf28f3c 7 9 swe swe NOUN d791sf28f3c 7 10 solvers solver NOUN d791sf28f3c 7 11 to to PART d791sf28f3c 7 12 turn turn VERB d791sf28f3c 7 13 them they PRON d791sf28f3c 7 14 into into ADP d791sf28f3c 7 15 fully fully ADV d791sf28f3c 7 16 resolved resolve VERB d791sf28f3c 7 17 nearshore nearshore NOUN d791sf28f3c 7 18 models model NOUN d791sf28f3c 7 19 with with ADP d791sf28f3c 7 20 very very ADV d791sf28f3c 7 21 little little ADJ d791sf28f3c 7 22 structural structural ADJ d791sf28f3c 7 23 change change NOUN d791sf28f3c 7 24 to to ADP d791sf28f3c 7 25 the the DET d791sf28f3c 7 26 underlying underlying ADJ d791sf28f3c 7 27 swe swe NOUN d791sf28f3c 7 28 model model NOUN d791sf28f3c 7 29 and and CCONJ d791sf28f3c 7 30 without without ADP d791sf28f3c 7 31 the the DET d791sf28f3c 7 32 need need NOUN d791sf28f3c 7 33 to to PART d791sf28f3c 7 34 solve solve VERB d791sf28f3c 7 35 mixed mixed ADJ d791sf28f3c 7 36 space space NOUN d791sf28f3c 7 37 / / SYM d791sf28f3c 7 38 time time NOUN d791sf28f3c 7 39 derivatives derivative NOUN d791sf28f3c 7 40 . . PUNCT d791sf28f3c 8 1 use use NOUN d791sf28f3c 8 2 of of ADP d791sf28f3c 8 3 a a DET d791sf28f3c 8 4 green green ADJ d791sf28f3c 8 5 -- -- PUNCT d791sf28f3c 8 6 naghdi naghdi NOUN d791sf28f3c 8 7 type type NOUN d791sf28f3c 8 8 polynomial polynomial ADJ d791sf28f3c 8 9 expansion expansion NOUN d791sf28f3c 8 10 for for ADP d791sf28f3c 8 11 the the DET d791sf28f3c 8 12 pressure pressure NOUN d791sf28f3c 8 13 profile profile NOUN d791sf28f3c 8 14 in in ADP d791sf28f3c 8 15 the the DET d791sf28f3c 8 16 vertical vertical ADJ d791sf28f3c 8 17 axis axis NOUN d791sf28f3c 8 18 reduces reduce VERB d791sf28f3c 8 19 the the DET d791sf28f3c 8 20 dimensionality dimensionality NOUN d791sf28f3c 8 21 of of ADP d791sf28f3c 8 22 the the DET d791sf28f3c 8 23 pressure pressure NOUN d791sf28f3c 8 24 -- -- PUNCT d791sf28f3c 8 25 poisson poisson NOUN d791sf28f3c 8 26 problem problem NOUN d791sf28f3c 8 27 to to ADP d791sf28f3c 8 28 only only ADV d791sf28f3c 8 29 two two NUM d791sf28f3c 8 30 dimensions dimension NOUN d791sf28f3c 8 31 , , PUNCT d791sf28f3c 8 32 significantly significantly ADV d791sf28f3c 8 33 reducing reduce VERB d791sf28f3c 8 34 computational computational ADJ d791sf28f3c 8 35 cost cost NOUN d791sf28f3c 8 36 . . PUNCT d791sf28f3c 9 1 the the DET d791sf28f3c 9 2 resulting result VERB d791sf28f3c 9 3 model model NOUN d791sf28f3c 9 4 shows show VERB d791sf28f3c 9 5 rapid rapid ADJ d791sf28f3c 9 6 convergence convergence NOUN d791sf28f3c 9 7 properties property NOUN d791sf28f3c 9 8 with with ADP d791sf28f3c 9 9 increasing increase VERB d791sf28f3c 9 10 order order NOUN d791sf28f3c 9 11 of of ADP d791sf28f3c 9 12 polynomial polynomial ADJ d791sf28f3c 9 13 expansion expansion NOUN d791sf28f3c 9 14 which which PRON d791sf28f3c 9 15 can can AUX d791sf28f3c 9 16 be be AUX d791sf28f3c 9 17 greatly greatly ADV d791sf28f3c 9 18 improved improve VERB d791sf28f3c 9 19 through through ADP d791sf28f3c 9 20 the the DET d791sf28f3c 9 21 application application NOUN d791sf28f3c 9 22 of of ADP d791sf28f3c 9 23 asymptotic asymptotic ADJ d791sf28f3c 9 24 rearrangement rearrangement NOUN d791sf28f3c 9 25 . . PUNCT d791sf28f3c 10 1 an an DET d791sf28f3c 10 2 optimum optimum ADJ d791sf28f3c 10 3 choice choice NOUN d791sf28f3c 10 4 of of ADP d791sf28f3c 10 5 basis basis NOUN d791sf28f3c 10 6 functions function NOUN d791sf28f3c 10 7 in in ADP d791sf28f3c 10 8 the the DET d791sf28f3c 10 9 green green ADJ d791sf28f3c 10 10 -- -- PUNCT d791sf28f3c 10 11 naghdi naghdi NOUN d791sf28f3c 10 12 expansion expansion NOUN d791sf28f3c 10 13 provides provide VERB d791sf28f3c 10 14 significant significant ADJ d791sf28f3c 10 15 improvements improvement NOUN d791sf28f3c 10 16 in in ADP d791sf28f3c 10 17 the the DET d791sf28f3c 10 18 dispersion dispersion NOUN d791sf28f3c 10 19 , , PUNCT d791sf28f3c 10 20 shoaling shoaling NOUN d791sf28f3c 10 21 and and CCONJ d791sf28f3c 10 22 nonlinear nonlinear ADJ d791sf28f3c 10 23 properties property NOUN d791sf28f3c 10 24 of of ADP d791sf28f3c 10 25 the the DET d791sf28f3c 10 26 model model NOUN d791sf28f3c 10 27 , , PUNCT d791sf28f3c 10 28 for for ADP d791sf28f3c 10 29 example example NOUN d791sf28f3c 10 30 achieving achieve VERB d791sf28f3c 10 31 fourth fourth ADJ d791sf28f3c 10 32 order order NOUN d791sf28f3c 10 33 dispersive dispersive NOUN d791sf28f3c 10 34 accuracy accuracy NOUN d791sf28f3c 10 35 in in ADP d791sf28f3c 10 36 a a DET d791sf28f3c 10 37 formally formally ADV d791sf28f3c 10 38 second second ADJ d791sf28f3c 10 39 order order NOUN d791sf28f3c 10 40 model model NOUN d791sf28f3c 10 41 , , PUNCT d791sf28f3c 10 42 and and CCONJ d791sf28f3c 10 43 eighth eighth ADJ d791sf28f3c 10 44 order order NOUN d791sf28f3c 10 45 dispersive dispersive NOUN d791sf28f3c 10 46 accuracy accuracy NOUN d791sf28f3c 10 47 in in ADP d791sf28f3c 10 48 a a DET d791sf28f3c 10 49 formally formally ADV d791sf28f3c 10 50 fourth fourth ADJ d791sf28f3c 10 51 order order NOUN d791sf28f3c 10 52 model model NOUN d791sf28f3c 10 53 . . PUNCT d791sf28f3c 11 1 various various ADJ d791sf28f3c 11 2 numerical numerical ADJ d791sf28f3c 11 3 approaches approach NOUN d791sf28f3c 11 4 to to ADP d791sf28f3c 11 5 solving solve VERB d791sf28f3c 11 6 and and CCONJ d791sf28f3c 11 7 coupling couple VERB d791sf28f3c 11 8 the the DET d791sf28f3c 11 9 ppbouss ppbouss ADJ d791sf28f3c 11 10 model model NOUN d791sf28f3c 11 11 are be AUX d791sf28f3c 11 12 discussed discuss VERB d791sf28f3c 11 13 including include VERB d791sf28f3c 11 14 application application NOUN d791sf28f3c 11 15 of of ADP d791sf28f3c 11 16 finite finite ADJ d791sf28f3c 11 17 difference difference NOUN d791sf28f3c 11 18 and and CCONJ d791sf28f3c 11 19 finite finite ADJ d791sf28f3c 11 20 element element NOUN d791sf28f3c 11 21 methods method NOUN d791sf28f3c 11 22 . . PUNCT d791sf28f3c 12 1 demonstration demonstration NOUN d791sf28f3c 12 2 of of ADP d791sf28f3c 12 3 the the DET d791sf28f3c 12 4 improvement improvement NOUN d791sf28f3c 12 5 in in ADP d791sf28f3c 12 6 nearshore nearshore PROPN d791sf28f3c 12 7 accuracy accuracy NOUN d791sf28f3c 12 8 through through ADP d791sf28f3c 12 9 application application NOUN d791sf28f3c 12 10 of of ADP d791sf28f3c 12 11 the the DET d791sf28f3c 12 12 ppbouss ppbouss ADJ d791sf28f3c 12 13 model model NOUN d791sf28f3c 12 14 is be AUX d791sf28f3c 12 15 shown show VERB d791sf28f3c 12 16 through through ADP d791sf28f3c 12 17 coupling coupling NOUN d791sf28f3c 12 18 with with ADP d791sf28f3c 12 19 the the DET d791sf28f3c 12 20 unstructured unstructured ADJ d791sf28f3c 12 21 mesh mesh PROPN d791sf28f3c 12 22 discontinuous discontinuous PROPN d791sf28f3c 12 23 galerkin galerkin PROPN d791sf28f3c 12 24 shallow shallow PROPN d791sf28f3c 12 25 water water PROPN d791sf28f3c 12 26 equation equation NOUN d791sf28f3c 12 27 model model NOUN d791sf28f3c 12 28 ( ( PUNCT d791sf28f3c 12 29 dgswem dgswem NOUN d791sf28f3c 12 30 ) ) PUNCT d791sf28f3c 12 31 . . PUNCT d791sf28f3c 13 1 a a DET d791sf28f3c 13 2 straightforward straightforward ADJ d791sf28f3c 13 3 numerics numeric NOUN d791sf28f3c 13 4 based base VERB d791sf28f3c 13 5 wave wave NOUN d791sf28f3c 13 6 breaking break VERB d791sf28f3c 13 7 algorithm algorithm PROPN d791sf28f3c 13 8 is be AUX d791sf28f3c 13 9 employed employ VERB d791sf28f3c 13 10 in in ADP d791sf28f3c 13 11 the the DET d791sf28f3c 13 12 nearshore nearshore NOUN d791sf28f3c 13 13 and and CCONJ d791sf28f3c 13 14 wave wave NOUN d791sf28f3c 13 15 runup runup NOUN d791sf28f3c 13 16 is be AUX d791sf28f3c 13 17 captured capture VERB d791sf28f3c 13 18 using use VERB d791sf28f3c 13 19 a a DET d791sf28f3c 13 20 globally globally ADV d791sf28f3c 13 21 mass mass ADJ d791sf28f3c 13 22 conservative conservative ADJ d791sf28f3c 13 23 wetting wet VERB d791sf28f3c 13 24 / / SYM d791sf28f3c 13 25 drying dry VERB d791sf28f3c 13 26 algorithm algorithm PROPN d791sf28f3c 13 27 specifically specifically ADV d791sf28f3c 13 28 designed design VERB d791sf28f3c 13 29 for for ADP d791sf28f3c 13 30 discontinuous discontinuous ADJ d791sf28f3c 13 31 galerkin galerkin PROPN d791sf28f3c 13 32 finite finite PROPN d791sf28f3c 13 33 element element NOUN d791sf28f3c 13 34 models model NOUN d791sf28f3c 13 35 . . PUNCT d791sf28f3c 14 1 the the DET d791sf28f3c 14 2 model model NOUN d791sf28f3c 14 3 is be AUX d791sf28f3c 14 4 verified verify VERB d791sf28f3c 14 5 and and CCONJ d791sf28f3c 14 6 validated validate VERB d791sf28f3c 14 7 using use VERB d791sf28f3c 14 8 analytical analytical ADJ d791sf28f3c 14 9 and and CCONJ d791sf28f3c 14 10 experimental experimental ADJ d791sf28f3c 14 11 results result NOUN d791sf28f3c 14 12 for for ADP d791sf28f3c 14 13 both both CCONJ d791sf28f3c 14 14 the the DET d791sf28f3c 14 15 fully fully ADV d791sf28f3c 14 16 nonlinear nonlinear ADJ d791sf28f3c 14 17 $ $ SYM d791sf28f3c 14 18 o(mu^2)$ o(mu^2)$ ADJ d791sf28f3c 14 19 and and CCONJ d791sf28f3c 14 20 weakly weakly ADJ d791sf28f3c 14 21 nonlinear nonlinear ADJ d791sf28f3c 14 22 $ $ SYM d791sf28f3c 14 23 o(mu^4)$ o(mu^4)$ ADJ d791sf28f3c 14 24 implementations implementation NOUN d791sf28f3c 14 25 . . PUNCT