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law_id,category,domain,law_sign,neutral_role,mean_contrast,median_contrast,contrast_sd,surface_a_contrast,surface_b_contrast,n_pairs,neutral_centered_contrast,neutral_z
absorbance-thickness,direct,optical,1,,0.11609484797688112,0.11643170823869456,0.016063061038015584,0.12869090243010192,0.10349879352366032,8,0.10249811465465643,12.00671304455894
activation-energy-anneal-time-neutral,neutral,kinetics,0,validation,0.0032274175824205174,0.0023432386146744295,0.004201894693552727,0.002049192742482859,0.004405642422358177,8,-0.010369315739804168,-1.2146701329652312
atomic-mass-temperature-neutral,neutral,atomic physics,0,validation,0.005570134406351004,0.00585151241729869,0.0029804979307924417,0.006391660266808216,0.004748608545893792,8,-0.008026598915873682,-0.9402423667144497
axial-elongation-area,inverse,mechanics,-1,,-4.778932831590865e-05,-0.0032955337906209314,0.02232450182901914,-0.019491436592221266,0.019395857935589452,8,-0.013644522650540595,-1.5983305512203698
axial-elongation-force,direct,mechanics,1,,0.11896000066367289,0.11738714124937355,0.012375858825915999,0.126997043689055,0.11092295763829077,8,0.1053632673414482,12.342339375394998
boundary-area-grain-size,inverse,microstructure,-1,,-0.004409480944282513,-0.0035705877807706947,0.003515418655622826,-0.007229106412347358,-0.0015898554762176671,8,-0.018006214266507198,-2.1092626771254825
boundary-energy-grain-size-neutral,neutral,microstructure,0,validation,0.004700114217950778,0.0056472319422527315,0.004670339645357108,0.0038696573979203476,0.005530571037981208,8,-0.008896619104273907,-1.0421572436884337
burgers-density,neutral,crystal defects,0,calibration,0.005385753998339056,0.004649228649546238,0.003206954475738228,0.006521877899847764,0.0042496300968303475,8,-0.00821097932388563,-0.9618408386229044
capacitance-separation,inverse,electrical,-1,,-0.007977232186352802,-0.0071754786622021845,0.0028064642106824817,-0.005864654238970254,-0.01008981013373535,8,-0.021573965508577486,-2.5271919777983376
capillary-rise-radius,inverse,interfacial,-1,,-0.006562381698124564,-0.00650259006935993,0.001055051629111879,-0.006626191888583319,-0.00649857150766581,8,-0.02015911502034925,-2.361455233563122
capillary-rise-surface-tension,direct,interfacial,1,,0.03831254642876924,0.02932510320649286,0.03537202065628939,0.0688363446339541,0.007788748223584371,8,0.024715813106544554,2.8952305770021094
conductivity-sample-area-neutral,neutral,thermal,0,calibration,0.014995193098347542,0.015877325445321184,0.009055019863833742,0.022898585867969657,0.007091800328725422,8,0.0013984597761228564,0.1638167228035201
corrosion-loss-time,direct,corrosion,1,,0.09689515471876883,0.09851995274338124,0.031145373997142296,0.1249463031954501,0.06884400624208756,8,0.08329842139654414,9.757645261503532
corrosion-resistance-defects,inverse,corrosion,-1,,-0.04053687711582123,-0.03888315386843789,0.0294816963889357,-0.06765144158622288,-0.013422312645419578,8,-0.05413361043804591,-6.3412554346533065
creep-strain-time,direct,deformation,1,,0.07502861043102124,0.07012710889762996,0.021908540043249703,0.08815853576384708,0.06189868509819539,8,0.06143187710879656,7.196180366039746
current-resistance,inverse,electrical,-1,,-0.003882171835321447,-0.0063863598428509395,0.012188209925211543,-0.011909829760788002,0.004145486090145109,8,-0.017478905157546132,-2.047493256503364
current-voltage,direct,electrical,1,,0.11348589791693646,0.11375483219462756,0.009449135172545269,0.11616401533925264,0.11080778049462027,8,0.09988916459471177,11.701098499131618
diffusion-time-diffusivity-new,inverse,transport,-1,,-0.00035376395884171435,0.003475974715205581,0.01464974016783964,-0.008820393650260664,0.008112865732577235,8,-0.0139504972810664,-1.6341726698780266
diffusive-flux-tortuosity,inverse,transport,-1,,-0.01674723212511729,-0.016935793956277756,0.003446075864542487,-0.015763507913284826,-0.017730956336949752,8,-0.030343965447341976,-3.5545169488021924
diffusivity-slab-thickness-neutral,neutral,transport,0,calibration,0.006253334659948343,0.005680049761997307,0.008081975995578188,0.008705570797232541,0.0038010985226641413,8,-0.007343398662276343,-0.8602117298139447
expansion-coefficient-length-neutral,neutral,thermal,0,validation,0.02683983999046647,0.0257875764075437,0.013090943339004799,0.03877758621981273,0.014902093761120207,8,0.013243106668241784,1.5513083544980166
fatigue-life-delta-k,inverse,fatigue,-1,,-0.010263634838892123,-0.0052489586649636065,0.016392624710539386,-0.020252652105657902,-0.00027461757212634587,8,-0.023860368161116807,-2.795023055919645
frequency-mass,inverse,vibrations,-1,,-0.010920323462822418,-0.009488752799410815,0.008619637581966143,-0.01782390279876829,-0.004016744126876546,8,-0.024517056785047106,-2.8719480988213895
grain-size-time,direct,microstructure,1,,0.04355224752222669,0.04409297467528907,0.012677967242619465,0.04211257778764572,0.044991917256807644,8,0.029955514200002004,3.5090134517444524
hall-coefficient-carriers,inverse,electronic,-1,,0.00012694424834014655,-0.00046630226537501887,0.002927026305625938,-0.0022018860782212716,0.0024557745749015647,8,-0.01346978907388454,-1.5778621170328013
hall-voltage-field,direct,electronic,1,,0.06533554775473474,0.061193892301205755,0.026971384736237974,0.08428728058420773,0.046383814925261745,8,0.05173881443251006,6.060727070442866
hardness-specimen-width-neutral,neutral,mechanical properties,0,validation,0.0208374416759584,0.021331099438533677,0.004801948465112628,0.01742336776282834,0.024251515589088453,8,0.007240708353733713,0.8481825030200393
heat-capacity-mass,direct,thermal,1,,0.10232404891729516,0.0968427450985541,0.031753843689866335,0.1312812271680942,0.07336687066649612,8,0.08872731559507047,10.393590371426733
hydraulic-resistance-permeability,inverse,transport,-1,,-0.0005003147132792082,0.002127431841387582,0.017181144775851784,-0.013193956679095845,0.012193327252537429,8,-0.014097048035503894,-1.6513397452034912
index-path-length-neutral,neutral,optical,0,validation,0.02786506316300287,0.027559452417406777,0.005704269988746413,0.02853802455421468,0.02719210177179106,8,0.014268329840778185,1.6714038360661518
joule-power-current,direct,electrical,1,,0.09846069062816637,0.09672035866524975,0.014465912337710886,0.10756095866069851,0.08936042259563423,8,0.08486395730594168,9.941033419309369
lattice-parameter-cell-count,neutral,crystallography,0,calibration,0.02379488714560924,0.023964342172074694,0.014865915279157848,0.03526673845465627,0.012323035836562222,8,0.010198153823384555,1.1946200859811356
magnetization-field,direct,magnetic,1,,0.09053818541821126,0.09492324838592696,0.024624678746698544,0.10793776329909396,0.07313860753732858,8,0.07694145209598657,9.012984674506113
melting-temperature-mass,neutral,phase equilibrium,0,calibration,0.008894240961210739,0.009119396451224279,0.0031652200105382255,0.0075291862718203095,0.010259295650601168,8,-0.004702492361013947,-0.550853804122727
modulus-specimen-length,neutral,mechanics,0,calibration,0.020352091442332444,0.019615769301007075,0.009339041389759469,0.028906708604173898,0.011797474280490994,8,0.006755358120107758,0.7913281793976902
nucleation-barrier-undercooling,inverse,phase transformation,-1,,0.027607333553401225,0.02794149671257764,0.019168489919791833,0.010073488245767745,0.045141178861034706,8,0.01401060023117654,1.641213178647727
nucleation-rate-sites,direct,phase transformation,1,,0.05858990482052244,0.05747325176592996,0.014128754002901894,0.06976310075421305,0.047416708886831825,8,0.044993171498297756,5.270536935872774
paris-rate-delta-k,direct,fatigue,1,,0.09963743999125435,0.10087303639527839,0.022705111701130508,0.12035868085246454,0.07891619913004415,8,0.08604070666902966,10.078878802861729
permittivity-capacitor-area-neutral,neutral,electrical,0,validation,0.016859524092653892,0.016303763487479975,0.00814128457143005,0.01657063745613241,0.01714841072917538,8,0.0032627907704292063,0.3822059814170362
pipe-drop-radius,inverse,fluid mechanics,-1,,-0.01979805166763787,-0.01900713725900176,0.03212938904679836,-0.0495200899524614,0.00992398661718566,8,-0.03339478498986256,-3.911892447085205
poisson-area,neutral,mechanics,0,calibration,0.016150404213892487,0.014312443665323575,0.013667939785628231,0.028384039851673707,0.003916768576111266,8,0.0025536708916678013,0.29913909840980013
pore-permeability-radius,direct,transport,1,,0.10615733181421803,0.10510388320992738,0.021741442112372607,0.12507058699968737,0.08724407662874871,8,0.09256059849199334,10.842624267484622
pressure-drop-flow,direct,fluid mechanics,1,,0.09132537326380868,0.09582515139615067,0.018139136419918506,0.10700565783535276,0.07564508869226463,8,0.077728639941584,9.105196503046544
reaction-extent-time,direct,kinetics,1,,0.03819375165659727,0.03486949914957537,0.027753332010150983,0.06379821265535743,0.01258929065783709,8,0.024597018334372583,2.8813148601572847
resistivity-wire-length-neutral,neutral,electrical,0,validation,0.014154851589690412,0.014848366695457716,0.005393669532291833,0.01874907829604205,0.009560624883338774,8,0.0005581182674657265,0.0653784306664117
rupture-life-stress,inverse,deformation,-1,,-0.019918258001953383,-0.015152331865059168,0.017354929629991266,-0.03026181387402755,-0.009574702129879212,8,-0.03351499132417807,-3.925973515474877
settling-speed-viscosity,inverse,fluid mechanics,-1,,-0.04075000797871262,-0.033754935322623185,0.031671157111682086,-0.06591782961101826,-0.01558218634640699,8,-0.05434674130093731,-6.366221758378364
shear-strain-modulus,inverse,mechanics,-1,,-0.0013409643549722457,-0.0029887380205415523,0.007846847323388561,-0.0075717311681589485,0.004889802458214457,8,-0.014937697677196932,-1.7498141322966305
shear-strain-stress,direct,mechanics,1,,0.12067013494843426,0.12151585783685975,0.00944547142322828,0.11845415994201805,0.12288610995485048,8,0.10707340162620957,12.542665905243602
skin-depth-frequency,inverse,electromagnetic,-1,,0.012883364473249222,0.012404706533020608,0.016059402467533703,-0.0010675333105579325,0.026834262257056377,8,-0.0007133688489754635,-0.08356461085586009
specific-heat-mass-neutral,neutral,thermal,0,calibration,0.01938820207114761,0.018050806309735185,0.00916611577836401,0.023997645416138087,0.014778758726157127,8,0.005791468748922923,0.6784173895211184
spring-energy-displacement,direct,mechanics,1,,0.07669967268492311,0.07853431140485648,0.03385658451878399,0.10504116322471443,0.04835818214513179,8,0.06310293936269842,7.391929966213315
stress-intensity-applied-stress,direct,fracture,1,,0.11315585737874226,0.1118353270103777,0.01058033849189764,0.12139728939859928,0.10491442535888523,8,0.09955912405651757,11.662437280351925
surface-energy-area-neutral,neutral,interfacial,0,validation,0.0077914528719333805,0.007292723272274495,0.0033140346700598526,0.008397520554258506,0.007185385189608256,8,-0.0058052804502913054,-0.6800353035241812
susceptibility-volume-neutral,neutral,magnetic,0,validation,0.014883163187961547,0.01319854807907047,0.00738282936527137,0.018344678440264307,0.011421647935658787,8,0.001286429865736861,0.1506934474052912
thermal-energy-temperature,direct,thermal,1,,0.09537714089473262,0.09700274399428631,0.017111670236806143,0.1078645643589282,0.08288971743053705,8,0.08178040757250793,9.57982387967338
thermal-time-coefficient,inverse,thermal,-1,,-0.03875520129411947,-0.03164926736276995,0.03880463657200481,-0.07418484820151666,-0.0033255543867222737,8,-0.05235193461634415,-6.132548470611311
toughness-crack-length,neutral,fracture,0,calibration,0.007872305765177726,0.007659351592472424,0.005997016941202644,0.013261684952752041,0.002482926577603409,8,-0.00572442755704696,-0.670564129432072
transmission-absorption,inverse,optical,-1,,-0.004929292367114282,-0.0037937469202418885,0.005305822160050348,-0.0023736167796113827,-0.007484967954617181,8,-0.01852602568933897,-2.170153812657617
yield-stress-gauge-length,neutral,mechanics,0,calibration,0.01219827354610183,0.012388170312003273,0.005780173158454333,0.01614674984436832,0.008249797247835335,8,-0.0013984597761228564,-0.1638167228035201