SciPy_SymPy/tutorial_sphinx/_build/html/searchindex.js

Search.setIndex({objects:{"sympy.simplify":{simplify:[4,1,1,""]}},terms:{riccardo:10,fredrik:10,accur:4,test_lambdifi:10,chaganti:10,pprint:[4,12],tobia:10,concret:10,under:[4,2,7],merchant:10,digit:[4,1],everi:[9,5,2,6],is_antisymmetr:10,fortier:10,trigonometr:[],jack:10,appar:[4,2],correct:[8,4,10,11,12],habel:10,matric:[],sachin:10,gmpy2:10,naiv:4,direct:10,consequ:[8,2],second:[1,5,7,4,9,10],cachit:10,timokhin:10,leveil:10,even:[4,1,2,7,8,9,10,13,14],asin:[4,10,2],hide:6,"crist\u00f3v\u00e3o":10,asid:[4,7],renato:10,"new":[0,1,5,6,7,8,9,10],net:11,ever:9,runtimeerror:4,elimin:10,abov:[4,2,5,7,8,9,10,11,13],henrik:10,here:[0,1,2,5,7,8,9,10,11,14],met:[10,2],ching:10,typeerror:4,interpret:[4,5],isympi:[4,10,11],precis:[4,1,2],jame:10,permit:10,yuri:10,julio:10,straw:10,trigsimp:[],unit:[4,10],plot:[12,10,11,7],describ:[4,14,10],would:[4,1,2,7,8,9,11,12,13,14],call:[4,2,5,7,8,9,11,12,13,14],typo:10,knoll:10,idichekop:10,preview:10,type:[4,2,5,6,7,8,9,12,13,14],tell:8,oscar:10,relat:[],notic:[4,2,7,8,9,10],warn:[],phone:6,nawara:10,loss:10,nichita:10,hold:[4,2],must:[4,2,7,8,9,10,12],kumar:10,word:8,restor:4,prafullkumar:10,setup:[10,11,12],work:[4,2,6,7,8,9,10,11,12],kroneckerdelta:10,root:[5,7,4,10,12,13],overrid:4,give:[8,0,4,2,6],lagunov:10,indic:[4,5],want:[4,1,2,5,6,7,8,9,10,11,12,13,14],keep:[4,9,14],gede:10,gedg:10,end:[4,14,2],quot:4,ordinari:[2,7],jochen:10,how:[4,2,7,8,9,12,14],answer:[2,7],verifi:[2,11],updat:[4,10,11],recogn:[8,4],mess:2,lae:10,chines:10,geoffri:10,saroj:10,stefano:10,diagram:9,befor:[4,7,2,9,6],shukla:10,koval:10,parallel:10,demonstr:[4,2,11],attempt:[8,2],third:[9,14],imposs:[8,2],perform:[1,2,7,4,9,14],quantiz:10,environ:[8,12,7],enter:[9,2,12],exclus:8,amit:10,lambda:[10,5],order:[4,2,6,8,9,10,14],oper:[],feedback:6,softwar:[10,7],"peri\u0107":10,over:[4,7,10,2,6],becaus:[4,2,5,7,8,9,12,13,14],keyboard:6,vari:13,grzegorz:10,makelov:10,kaifeng:10,fix:10,creu:10,better:[4,10,2,7],comprehens:1,easier:[13,2,7],them:[4,1,2,7,8,9,13,14],cse:10,thei:[4,2,5,6,7,8,9,10,11,14],safe:14,interrupt:10,choic:7,kendhia:10,luca:10,arrow:6,each:[2,6,4,9,13,14],side:[4,14],mean:[4,1,2,5,7,8,9,13,14],laboratori:10,akhtar:10,logo:10,goe:[8,9],kirpichev:10,jamadagni:10,goodsel:10,content:0,rewrit:[],vector:5,adapt:0,reader:6,got:[8,9,7],hogan:10,linear:10,written:[0,2,6,7,9,10],situat:8,infin:10,free:[6,11,7],standard:[8,4,13,2,11],ode_ord:10,angl:2,traceback:[8,4,13,5],mangipudi:10,unabl:[1,14],gudchenko:10,confus:[8,1,14],rang:[1,10,2],render:12,independ:[4,9,7],rank:10,instruct:4,alreadi:[4,2,6,7,8,12,13],rewritten:2,int_test:10,top:9,sometim:[4,5],downsid:5,timothi:10,master:11,too:4,similarli:5,gilbert:10,docherti:10,consol:[4,11,12],kreft:10,toon:10,tool:10,inexact:4,qappli:10,nsolv:10,termin:[11,12],simula:10,technic:[8,9],target:[10,2],provid:[2,5,7,9,10,14],expr:[4,1,2,7,8,9,12,13,14],tree:[],zero:[4,10,13,9,5],kraus:10,collinear:10,matter:[9,7],minut:4,pyglet:10,runner:10,mind:[4,9],"__main__":4,seen:[8,9,12],seem:2,dozen:2,"__new__":9,latter:8,xfail:10,baayen:10,thoma:10,fishbein:10,ulrich:10,simplifi:[],though:[4,9,14,2],gituliar:10,glob:4,object:[4,1,2,5,7,8,9,12,14],rajca:10,doit:[14,6],mario:10,nonlinear:10,letter:[8,4,14],bsd:[10,7],jean:10,don:[1,2,7,4,9,11],simplif:[],doc:[4,0,10],declar:4,left:[2,7],prasoon:10,sum:[10,2],came:9,aboutu:10,opposit:2,random:2,sage:7,speedup:10,syntax:[4,7,8,12,13,14],involv:[4,2],despit:2,coverage_doctest:10,theme:7,busi:10,"__call__":10,folder:11,wide:10,pirtl:10,report:13,reconstruct:9,tsang:10,pearson:10,"rou\u010dka":10,patch:10,twice:[4,14],tanugi:10,yehdegho:10,julien:10,result:[8,4,14,2,7],christian:10,best:[4,2,6,8,11,12],awar:4,hopefulli:4,wikipedia:[6,7],figur:2,simplest:2,mul:9,irc:11,attribut:9,accord:4,never:[8,6],extend:[8,7],povalyaev:10,extens:[10,2,6],huang:10,short_lif:4,saptarshi:10,howev:[4,1,2,5,7,8,10,13],logic:[8,10,6,7],nimish:10,seri:[],com:11,col:5,pre:[9,10],goodrich:10,chetna:10,exemplari:10,shortcut:2,diff:[14,13,10,11,7],unsimplifi:4,siddhant:10,assum:[4,13,2,6],summar:2,duplic:[4,6],liabil:10,sam:10,fortran:12,numpi:[8,10,11],three:[8,4,9,2],been:[8,4,9,2,6],much:[8,13,2,7],interest:[],basic:[],cohen:10,ccode:10,ani:[4,1,2,5,6,8,9,10,11,12,13,14],input:[1,2,6,4,9,13],krauss:10,sympydeprecationwarn:10,spin:10,davi:10,johansson:10,ident:[8,4,5,2,10],servic:10,commerci:7,row_insert:5,aim:[6,7],calcul:[4,10,5,12],euler:10,risch:[14,10],sousa:10,wiecki:10,kwarg:4,sever:[8,10,5,12],piotr:10,receiv:[4,10],ghop:10,make:[4,2,5,6,7,8,9,10,11,13],a_p:2,setupegg:11,complex:[4,10,2],split:[9,2],complet:[2,7,4,9,11,13],list_to_frac:2,hand:7,rais:[4,13,5],kim:10,wardel:10,squar:[4,10,7],kept:9,thu:[8,4,13,9,2],thi:[],programm:10,everyth:[4,9,10,11,12],lambdifi:10,maxima:10,identifi:10,just:[0,1,2,4,5,6,7,8,9,12,13,14],yet:4,languag:[8,4,7,2,6],easi:[1,5,6,7,8,9,11,12,14],had:[8,1,9],friedrich:10,macport:10,lawrenc:10,els:[4,1,9],expon:[4,2],gave:4,applic:7,wai:[4,1,2,6,7,8,9,10,11,13,14],background:6,siddhanathan:10,apart:[],agraw:10,specif:[10,2],arbitrari:[4,13,1,2,9],manual:2,eigenv:[5,7],schwarz:10,serbian:10,minpoli:10,sebastian:10,unnecessari:6,www:12,right:[4,7,10,2,6],old:[1,10],deal:[8,2,7],czech:10,fresnel:14,intern:[4,9,12],printer:[],bori:10,indirect:10,sherjil:10,represent:[8,9],abbatiello:10,bottom:6,anatolii:10,subclass:9,track:[4,14],condit:[10,2],peek:2,plu:7,knew:2,stefan:10,promot:10,repositori:[10,11],post:9,meyer:10,alexand:10,curri:10,pearu:10,produc:12,ahm:10,down:[0,2,6],sergiu:10,git:[],suffici:2,transform:7,why:[],avail:[8,4,6,11,12],reli:4,joseph:10,fraction:[],head:9,form:[2,5,7,9,10,12,13],forc:2,epsilon:4,recommend:[4,11],removeo:14,granger:10,"true":[4,2,5,7,8,9,11,12,13,14],freenod:11,bugfix:10,coeff:2,maximum:4,until:8,unrel:8,gudulin:10,featur:[2,6,7,4,10,11],proven:8,exist:[5,7],perez:10,check:[8,2],elbenfuerst:10,excel:[6,11],"\u212f":[13,14,2,7],tim:10,whet:7,laguerr:10,test:[8,4,9,10,7],appetit:7,node:9,intend:1,eigenvalu:[],krastanov:10,cooper:10,omega:4,longer:[8,2],furthermor:[8,9,7],anywher:7,oruganti:10,geometr:[10,5],time:[4,9,14,6,7],bamba:10,backward:2,concept:6,rom:10,skip:[8,4,14,6,12],invent:7,signific:[4,9],colleen:10,depend:[4,7,8,10,11,13],graph:9,aspn:10,decim:[4,7],isinst:9,maggiolo:10,sourc:[],string:[],asymptot:14,kazuo:10,exact:[8,4,12,7],jha:10,solver:[],did:[8,2,7],dig:9,item:[4,2],unsupport:4,rsolv:10,div:9,dir:4,prevent:4,telescop:10,core:[8,4,9,10],sign:[],"____":7,cost:7,anaconda:[],histori:[10,6],appear:4,current:[4,14,11],rephras:14,powsimp:[],deriv:[],gener:[4,2,5,6,7,8,9,10,11,13,14],coeffici:[9,2],french:10,disclaim:10,entertain:6,modif:10,"\u0161uppa":10,coincid:8,box:[10,6],jorn:10,behav:4,pankowski:10,nikhil:10,takafumi:10,ankit:10,extra:6,modul:[4,2,7,8,10,11],prefer:[5,7],row_del:5,instal:[],mobil:6,andi:10,univers:10,visit:11,live:[9,12,2,6],criteria:9,scope:2,andr:10,diagonaliz:5,peopl:10,finit:[2,7],enhanc:6,oop:8,examin:2,bharath:10,jerryma1121:10,easiest:[4,9,2],eigenvect:5,logarithm:[],aritrari:4,battl:7,joglekar:10,can:[4,1,2,5,6,7,8,9,10,11,12,13,14],purpos:[14,10,2],nielsen:10,topic:8,crazi:8,konrad:10,buchert:10,occur:[4,9],clair:10,alwai:[4,2,6,7,8,9,11,14],differenti:[],multipl:[4,1,2,5,6,8,9,10,13,14],ingold:10,rishabh:10,write:[9,7,2,6],anyon:12,product:10,tarun:10,clone:11,usabl:7,madelein:10,mai:[4,1,2,5,8,9,10,11,13,14],shuffl:2,data:10,mao:10,man:10,practic:[8,6],stdin:4,favorit:11,tale:10,inform:[4,2],preced:4,combin:[8,4,1,9],gamma:[4,10,2],jain:10,michel:10,irrat:7,graphviz:[9,12],peterson:10,still:[4,5,11],snippet:4,conjunct:2,group:10,polici:10,jim:10,tort:10,window:[10,11],curli:4,mail:[6,11],main:[4,13,2],non:[4,9,10],recal:[8,13,9,7],initi:10,now:[4,2,7,8,9,11,13],thilina:10,discuss:[4,1,2,7,8,9,12],nor:10,term:[4,2,7,8,9,14],name:[4,2,5,8,9,10],sop:10,didn:10,kerr:10,kern:10,fabian:10,confid:7,compil:[10,7],raffael:10,replac:[4,1,10,6],individu:[5,6],continu:[],ensur:4,"\u010dert\u00edk":[0,10],lazovich:10,year:10,operand:4,happen:[8,2,12],dvori:10,kibeom:10,shown:6,space:[8,4,9,10],profit:10,formula:[10,2,7],factori:[10,2],after:[8,4,14,2,11],"__builtins__":4,big_trig_ident:4,theori:[10,7],org:[4,6,12],"___":[13,12,14,2,7],care:[8,4,7],couldn:13,question:[],wrong:8,refus:2,thing:[4,1,2,5,7,8,9,10,12,14],mella:10,place:[4,1,5,2],think:[8,2,11],first:[4,1,2,5,6,7,8,9,10,11,13,14],origin:[4,2,11],paprocki:10,reimplement:10,directli:[4,11],onc:[4,13,1,14,2],yourself:14,stsci:10,symmetri:[1,2],oppos:14,open:[11,7],given:[4,10,2],convent:[8,2],yin:10,averag:10,telang:10,conveni:[8,4,14],includ:[2,5,7,4,10,11,13,14],especi:14,copi:[4,6,12],alan:10,github:[0,10,11],hypergeometr:[10,2],mostli:12,vishal:10,holder:10,than:[4,2,5,6,7,8,9,14],serv:6,ivanov:10,nathan:10,simsa:10,subexpress:[1,10],hagedorn:10,mateusz:10,were:[4,2,7,8,9,12],posit:[4,2],browser:6,hirzel:10,sai:[4,1,10,2,7],nicer:11,argument:[],lakshminarayan:10,notimplementederror:13,coutinho:10,saw:[13,2],kevin:10,ksionda:10,engin:[4,12],str_expr:1,advic:10,preorder_travers:[9,10],zoo:10,other:[],maintain:4,take:[4,1,2,5,7,8,9,14],advis:10,green:6,noth:8,channel:11,begin:[8,4],sure:[8,9,2,11],normal:4,multipli:[8,4,9],huijun:10,beta:4,pair:[4,1,5],latex:[12,10,7],later:[8,1,14,2,7],quantiti:4,axi:10,sigma:4,"th\u00f6rne":10,show:[4,5,6,7,8,12],german:10,"_greek":4,joshi:10,virtanen:10,permiss:10,unchang:1,corner:6,use2to3:11,ground:12,slot:9,onli:[4,2,5,6,8,9,11,13,14],explicitli:[8,13,5,12],colistet:10,dict:[4,13,10],jaroslaw:10,analyt:11,lahei:10,offici:[4,6],mayorov:10,nearli:4,variou:[10,2,11],repr:[],cannot:[4,13,5,2,7],lui:10,requir:[4,5,6,11],reveal:9,where:[4,2,5,7,8,10,13],wiki:[4,10],assumpt:[4,10,2],sean:10,concern:10,infinit:[10,2],detect:[10,12],review:10,behind:8,"import":[4,1,2,5,6,7,8,9,11,12,13,14],across:6,spars:9,screen:[6,12],wyborski:10,come:[2,6,7,8,9,11],fit:[9,10],contract:10,jeremia:10,tutori:[],improv:[14,10],comer:10,erbin:10,pop:6,cancel:[],nicola:10,poli:[4,10],damag:10,save:6,coupl:10,marc:10,use_latex:12,rebuild:9,mari:10,mark:10,barri:10,rebuilt:9,valueerror:5,arcsin:4,andrew:10,andrej:10,durchholz:10,andrea:10,those:[8,4,2,7],sound:2,kappa:4,puneeth:10,trick:4,cast:8,steinberg:10,"kr\u00e4mer":10,sophi:10,ntheori:10,advantag:[8,2,7],metric:10,henc:[9,2],worri:[4,9],pernici:10,antipattern:6,abcdef:8,"__init__":9,author:10,hecht:10,same:[4,2,5,8,9,12,14],binari:[4,10],eta:4,pad:4,document:[8,12,10,2,6],ludwig:10,pan:10,nanjangud:10,exhaust:6,jorgensen:10,"_latin":4,nest:9,voss:10,someon:6,decompress:11,capabl:[7,2,6],mani:[4,1,2,6,7,8,9,10,11,12,14],extern:10,appropri:12,without:[4,10,5,2,11],temptat:2,summer:10,"_sympifi":9,bvar:12,execut:[7,12,2,11,6],dihedr:10,when:[4,2,7,8,9,11,13,14],rest:[8,2,6],refactor:10,polish:10,speed:9,hint:2,mcdonald:10,regent:10,except:[8,4,9,10],exercis:[2,6],pow:[9,10,12],mecahan:10,real:[4,10,2,7],psi:4,around:[8,4,14,7],psf:10,psu:10,whitespac:10,patrick:10,integ:[4,2,8,9,10,11,12,14],mpmath:10,either:[8,4,9,5,11],output:[4,2,5,6,7,8,9,12,13],col_insert:5,joan:10,kaiser:10,easili:[14,7],definit:[4,14,10,2],moor:10,numbersymbol:10,complic:[8,4,9],refer:[8,4,2,11],print_mathml:12,besselj:7,power:[],ration:[],leadership:10,found:[13,12],"__name__":4,earlier:9,comparison:10,gregori:10,aco:[4,10,2],invert:5,"\u0142ukasz":10,effici:[9,1,5,2],consid:[8,4,5,2],gari:10,lastli:4,strip:0,pivot:5,nikla:10,"ebersp\u00e4ch":10,your:[2,6,7,4,11,12,14],log:[14,2,11],loo:10,start:[4,1,7,8,10,11],"\u03b3":[14,2],srinivasan:10,coolg49964:10,low:4,lot:[10,2],enough:8,regard:10,dotprint:[9,12],gori:10,denomin:2,faster:10,freddi:10,pull:[2,11],mathml:[],possibl:[8,9,10,2],"default":[1,2,6,7,4,12,14],carei:10,autocomplet:4,jurjen:10,elrond:10,rationaltool:10,qtconsol:[11,12],certain:[2,11],felix:10,deep:[4,9],strongli:11,intro:[],file:[4,10,11],expr_modifi:4,tiffani:10,fill:[4,5],denot:4,googl:10,mathematica:[4,10,7],idiom:[8,6],binomi:2,cleanup:10,ignor:[4,2],you:[4,1,2,5,6,7,8,9,10,11,12,13,14],registri:4,regardless:2,stefen:10,sequenc:4,symbol:[],docstr:[4,10],polynomi:[],ashwini:10,arcco:4,reduc:[4,5],reimport:4,natalia:10,directori:11,raphael:10,sergei:10,all:[4,1,2,5,7,8,9,10,11,12,13,14],forget:2,ali:10,gupta:10,dollar:7,improperli:10,scalar:10,code:[4,2,6,7,8,10,12],abil:[4,2,7],follow:[4,1,2,6,8,9,10,11,14],swapnil:10,articl:7,aaron:[0,10],program:[4,2,6,7,8,10],neglig:10,introduc:[2,6],"case":[2,7,4,9,10,12,14],liter:4,jensen:10,song:10,immutablematrix:5,utiu:10,faq:4,util:11,rizgar:10,mechan:10,failur:2,veri:[8,4,1,2,9],ticket:11,list:[],cosin:2,small:[8,7],ted:10,past:[4,12],rate:[4,14],design:[9,12,7],pass:[1,2,4,10,12,13,14],kitouni:10,what:[],abc:[8,4],sub:[8,4,1,10,14],diag:5,section:[1,2,6,7,8,9,12,13,14],advanc:[],abl:[12,7],brief:10,version:[0,5,6,4,9,10,11],bernhard:10,method:[],contrast:7,full:[4,10,2,7],themselv:2,cass:7,toew:10,stipend:10,inher:8,modifi:[1,5,6,7,4,10],valu:[8,4],prior:10,doctest:[8,4,10,12],pick:2,raza:10,cardona:10,via:[9,11],shorthand:4,vig:10,primit:14,deprec:10,heurist:[13,14,2],akshai:10,distinct:2,liber:7,two:[],coverag:10,saurabh:10,more:[],bulgarian:10,desir:[4,1],canon:[10,2],hundr:7,flag:[1,2],particular:[4,10,2],known:2,upsilon:4,horsen:10,ronan:10,none:[5,2],vladimir:10,cluster:10,ramana:10,der:10,det:5,dew:10,remain:[8,5,7],del:2,caveat:8,learn:[8,1,6,7],hume:10,def:[8,4,9,2],stepan:10,minimum:10,explor:2,cours:2,newlin:[10,2],freshli:11,angu:10,rather:[8,4,9,7],anoth:[8,4,1,2,7],zhang:10,mapl:[4,7],divis:[8,4,9,11,12],"ond\u0159ej":[0,10],simpl:[4,1,2,5,8,9,11],"n\u00e1jera":10,isn:7,algebra:[],shanmugam:10,brett:10,adhikari:10,plane:2,circumst:7,"short":[4,9,12],onto:11,django:8,caus:[10,6,11],spheric:7,"povi\u0161":10,multivari:[10,2],rotat:10,singleton:9,held:2,through:[],paramet:4,bromborski:10,matthew:10,peng:10,stephen:10,might:[4,1,2,7,8,9],alter:4,good:[1,10,6],"return":[1,2,5,4,9,12,13,14],nthoeri:10,hunter:10,det_lu_decomposit:10,bigger:2,korgul:10,level:[4,9,6],unlik:[4,5,7,8,9,12],tear:9,achiev:4,undertak:2,fulli:6,unicod:[],unequ:4,hard:[8,11,7],idea:2,realli:[8,7],heavi:9,expect:[4,9,7],stabl:1,quantum:10,portland:10,event:10,meijer:[14,2],marcin:10,robert:10,research:10,footnot:[9,12],convex_hul:10,expans:[],print:[],benjamin:10,ast:10,guess:9,tarang:10,reason:[9,1,7],base:[4,9,10,2,11],ask:[8,4],omit:14,perhap:1,rioux:10,major:[2,7],student:10,obviou:7,feel:[6,11],schubert:10,number:[],alexandr:10,done:[8,1,5,9,7],least:2,saveimag:10,miss:2,diffeq:13,differ:[4,2,7,8,9,12],exponenti:[],interact:[2,6,7,8,11,12],hotz:10,construct:[8,5,2],horst:10,saint:10,jen:10,store:[4,9],vasili:10,option:[4,12,10,2,6],relationship:4,groebner:10,tom:10,part:[14,9,10,2],froehl:10,kind:[14,2],cyclic:4,demian:10,remov:[10,2],reluga:10,reus:[4,7],str:[],nikolai:10,comput:[],cimrman:10,packag:[11,7],"null":4,nobrega:10,sell:7,built:[4,9,12,7],equival:4,col_del:5,florian:10,lim:14,also:[4,1,2,5,6,7,8,9,10,12,13,14],etienn:10,build:[8,1,11],jacobian:10,distribut:[10,11],previou:[9,2,6],most:[4,1,2,5,6,7,8,9,12,13],plai:[8,9,7],"\u00f3scar":10,rho:4,alpha:4,denest:10,clear:8,cover:[8,14],exp:[4,13,14,6,7],theano:12,latest:11,gaba:10,hyper:2,arpit:10,session:[8,12],particularli:[13,2],"_sage_":10,find:[4,5,7,8,10,13,14],randi:10,negativeon:9,copyright:10,duncan:10,solut:[4,13],factor:[],"mo\u0107i\u0107":10,hit:9,luke:10,"__file__":4,express:[],use_unicod:[2,5,7,12,13,14],liabl:10,coth:10,continuum:11,whenev:[8,4,9,14],irukula:10,garcia:10,common:[4,1,2,5,6,7,8,9,10,11,12],wrote:[9,7],set:[],certik:[],mutabl:[4,5],see:[4,1,2,5,6,7,8,9,10,12,13,14],arc:2,sanket:10,reserv:[10,5],whatsoev:13,project:10,radsimp:4,someth:[4,1,6,7,8,9],fcode:10,experi:6,altern:[8,4,6,11,7],hisch:10,numer:[4,1,10,2],omicron:4,javascript:[10,12],incident:10,matthia:10,infal:8,solv:[],bastian:10,both:[2,6,7,9,11,14],last:[4,5,8,9,13,14],sidoti:10,thow:10,alon:7,numpydoc:10,filho:10,verstraelen:10,let:[1,2,7,8,9,11],whole:7,ananya:10,point:[4,1,8,10,11,14],instanti:10,makefil:10,suppli:4,mistak:4,zeta:4,throughout:[8,6],java:4,due:2,calculu:[],sinc:[1,2,5,7,4,12,13],strategi:4,jorg:10,versa:8,is_numb:10,imag:10,consequenti:10,unnecessarili:2,wassermann:10,understand:[],integration_vari:14,b_q:2,look:[4,9,14,6,12],raoul:10,bill:10,"while":[4,1,5,9],"\u0161t\u011bp\u00e1n":10,behavior:[8,4,10],shift:[14,2],fun:6,priit:10,loop:9,readm:10,echelon:5,itself:7,costli:5,sarda:10,ipythonprint:11,ragan:10,factor_list:2,decor:10,loadext:11,shai:10,higher:[4,14],pourcelot:10,wherea:2,shruti:10,sym:2,rathnayak:10,moment:10,"tom\u00e1\u0161":10,user:[8,10,6,11],robust:4,implement:[14,13,10,2,7],recent:[8,4,13,5],travers:9,task:14,noncommut:9,parenthes:4,expens:5,a_1:2,rocklin:10,kostrzewa:10,collabor:10,khagesh:10,patel:10,prufer:10,cut:2,theoret:8,dixon:10,theorem:10,mandal:10,subsequ:4,waksman:10,finder:10,bin:11,format:[9,10,6,12],big:[8,4,14],catalan:10,symarri:10,bit:12,characterist:5,signal:9,fnan:10,popular:7,encount:4,often:[1,2,5,7,9,13],"\u03c0":[14,2,7],creation:4,some:[4,1,2,5,6,7,8,9,10,11,12,13,14],back:14,sampl:[14,7],dembia:10,shall:[9,10],substitut:[],unord:4,larg:[4,1,10,2,7],undon:2,"b\u00fchler":10,unsanit:1,reproduc:[10,2],machin:10,hoff:10,run:[],weih:10,jezreel:10,subtract:[4,9,2],"ljubi\u0161a":10,transpos:5,materi:10,regular:[4,2,12],feo:10,block:[2,6],plan:12,"__future__":[8,4,11,12],postorder_travers:9,contributor:10,tadd:10,alison:10,span:5,combinator:[10,2,7],"long":[8,9],custom:7,prettier:10,int_:7,angadh:10,chu:10,"\u00f8yvind":10,decomposit:2,link:[4,10],translat:10,delta:[4,10],russian:10,line:[4,2,6,8,10,11],goyal:10,info:[4,10],zhu:10,consist:[13,9,6],arakaki:10,imran:10,similar:[1,2,5,6,7,9],sparsematrix:10,constant:[13,14],set_main:10,parser:10,doesn:[4,13],repres:[4,2,7,8,9,13,14],pronounc:2,nan:[14,10],invalid:4,bracket:4,lazarov:10,nice:[9,11],dale:10,clean:10,gigabyt:7,dougherti:10,eval:1,lenz:10,algorithm:[2,4,9,10,13,14],monomi:2,depth:4,far:[8,4],unevalu:[13,14,7],jason:10,fedotov:10,steve:10,procur:10,meijerg:2,sympyifi:4,aris:10,"\u03bd":7,factorint:10,whittl:2,nichola:10,sympifi:[4,1,10,9],kinar:10,dahlgren:10,tri:[8,4,2],magic:8,bessel:7,button:6,michael:10,karadzhov:10,ryan:10,"try":[4,1,2,6,8,9],symarrai:10,pleas:11,slow:2,impli:[4,10],smaller:2,natur:[4,9,2],focu:7,jump:2,download:[11,7],vinzent:10,click:[2,6],append:2,index:4,compar:[8,4,9,2],anton:10,marshall2389:10,access:[],mathjax:12,deduc:7,whatev:4,lacass:10,lee:10,vinai:10,arkanto:10,matplotlib:[11,12],bodi:4,lower_limit:14,gmpy:[10,12],becom:[4,2],implicit:8,convert:[],srepr:[9,12],mailinglist:10,pretti:[],oleksandr:10,larger:8,converg:14,stephanik:10,chang:[4,1,6,8,9,10,11,12],chanc:[4,9],lamda:5,clark:10,appli:[2,12],approxim:[4,7],foundat:10,inequ:10,api:[6,7],immut:[],subach:10,from:[],mickler:10,commun:11,chi:4,next:[4,9,7],few:2,manzoor:10,gert:10,simpler:2,"tokar\u010d\u00edk":10,commut:[9,10],remaind:4,sort:[8,9,10,7],"\u015bwirski":10,sriniva:10,impress:4,babu:10,mccafferi:10,actual:[4,7],starter:11,alexei:10,magura:10,uniqu:[8,9],alia:2,counterexampl:2,control:[4,1],tau:4,tar:11,process:[4,2],high:4,tab:4,onlin:6,tan:[10,2],everywher:4,gcd:10,katja:10,guru:10,gci:10,lami:10,georg:10,brian:10,instead:[4,2,5,7,8,9,13,14],sin:[1,2,6,7,4,9,11,13,14],chri:10,circular:4,delai:14,frac:[2,12],overridden:2,singular:14,could_extract_minus_sign:10,tomo:10,notebook:[11,12],expanded_expr:7,pydev:10,physic:[10,2,7],element:[4,9,5,2,12],issu:[4,2,8,9,10,11],allow:[8,4,9,10,6],move:6,devanla:10,own:[4,7],comma:[8,4],goutham:10,narr:6,perfect:[9,7],expand_trig:[],tyler:10,weber:10,greater:14,heydon:10,python:[],auto:4,dan:10,spell:10,landau:14,mention:[10,5],front:2,summat:10,bourquin:10,dirac:10,anyth:[8,4],edit:10,nameerror:[8,4],slide:0,mode:6,mnemon:4,cugini:10,intellig:2,prateek:10,combinatori:[10,2],dixit:10,our:[0,1,2,6,8,9,10,11],init_sess:12,special:[],out:[4,2,7,8,9,10],matt:10,matrix:[],suitabl:6,rel:7,wick:10,math:[14,10,7],statist:[10,7],marek:10,harold:10,insid:[4,5],manipul:[],undo:2,init_print:[2,5,7,12,13,14],releas:[10,11],papriw:10,afterward:4,indent:[4,10],could:[8,4,9,2],put:[4,5,2,11],david:10,counterpart:14,outsid:14,geometri:[10,7],retain:10,endors:10,christoph:10,qualiti:10,scene:8,date:10,strict:[10,2],unknown:13,system:[4,2,7,8,10,11,13],messag:10,pavel:10,meurer:[0,10],reevalu:8,"\u03bb":5,iota:4,shell:[4,9,10,6,11],compileflag:4,methodolog:6,gsoc:10,rst:10,exactli:[4,2,7,8,12,14],haven:4,heavysid:10,ben:10,bother:9,roberto:10,structur:2,charact:[8,12,7],sens:2,kauer:10,muis:10,kellei:10,have:[4,1,2,5,6,7,8,9,11,12],close:2,need:[4,1,2,5,6,8,9],turn:[8,7],min:10,accuraci:4,tomasz:10,builtin:12,cheatsheet:10,which:[4,1,2,6,7,8,9,11,12,13,14],kloeckner:10,phenonemon:9,unless:[10,5,2,14],preliminari:[],who:6,visa:8,pyflak:10,manoj:10,dens:9,request:11,inde:7,polygamma:10,determin:[],fact:[1,2,6,7,8,9,13],text:11,syntaxerror:4,verbos:12,venkata:10,should:[4,5,6,8,11,14],jan:10,suppos:[8,2,7],meant:4,insight:6,contribut:10,notat:[4,14],familiar:[8,4,14,6],autom:7,piecewis:[14,10],increas:[4,10],enabl:[2,11,12],varun:10,logcombin:[],integr:[],contain:[8,4,14,2],carsten:10,charpoli:5,knowledg:[9,6],displai:4,tristan:10,stack:5,closer:9,error:10,pattern:[14,9,10],tend:6,state:[10,5],theta:4,neither:[10,2],kei:[],bilal:10,entir:[2,7],ozair:10,ctimesd:4,addit:[4,2,5,7,8,9,10,11,12],goal:[6,7],lowercas:[4,14],instanc:[9,13,1,2],bachmann:10,equat:[],tworek:10,arriv:2,ipython:[4,10,11,12],johann:10,respect:[4,14,2],vasudevan:10,dsolv:[13,14,7],quit:[8,9],divid:9,decent:6,treat:8,mailmap:10,partial:[14,2],bbp:10,catchal:2,togeth:[4,10,2,7],present:4,defin:[8,4,2,11,7],galgebra:10,observ:2,almost:7,irreduc:2,pedregosa:10,site:11,tsmars15:10,archiv:11,dual:10,lightweight:7,fiddl:2,scienc:[14,10],welcom:6,nonneg:2,satisfi:[9,2],sqrt:[1,2,7,4,10,12],"__package__":4,handl:[9,10,2],pauli:10,antideriv:14,probabl:[8,6,11],difficult:[2,7],phi:4,ball:10,http:[6,12],raymond:10,again:[8,4,2],absorb:14,py3k:[10,11],upon:2,effect:[8,11],marolt:10,upper_limit:14,pdf:[],expand:[],off:7,well:[8,4,9,2,7],thought:[8,9],exampl:[],command:[4,10,11,12],choos:2,undefin:[13,14],usual:[4,1,2,8,9,12],orig_frac:2,obtain:4,simultan:4,griffith:10,portfil:10,smith:10,script:[10,11],add:[4,2,8,9,10,14],valid:2,densiti:10,aleksandar:10,match:[4,14,10],rememb:[4,2],webpag:10,chancellor:10,realiz:4,desh:10,know:[4,2,6,7,8,9,11,14],press:4,recurs:[],institut:10,emma:10,like:[4,2,5,6,7,8,9,11,14],popov:10,fernando:10,permut:[10,2],necessari:[4,6],martin:10,page:[4,10,2,6],terrel:10,exceed:4,revers:2,sleight:10,linux:11,growth:14,b_1:2,proper:4,guarante:[13,2],librari:[8,6,11,7],separ:[8,4],guid:[10,6,11],leaf:9,lead:[2,6],"bj\u00f6rn":10,broad:9,avoid:[8,6],joachim:10,wong:10,leav:[9,1,2],leader:10,encourag:11,investig:8,imaginari:4,usag:4,interfac:13,host:10,although:[8,4,9,2,11],num_column:10,stage:2,rare:8,statement:11,constructor:[],fals:[8,4,9,12],collected_expr:2,bradlei:10,miha:10,automat:[4,2,7,8,9,11,12,13,14],warranti:10,empti:[13,9],hubert:10,pointless:2,van:10,smit:10,"var":4,abderrahim:10,flynn:10,"function":[],akshit:10,gain:4,highest:4,bug:[8,10,11],qcosin:4,made:[4,9,10],whether:[8,10],wish:[5,6,7,4,13,14],redistribut:10,"__doc__":4,below:[4,5,2,11,6],limit:[],indefinit:14,otherwis:[14,1,10,12],problem:[8,4,10,11,14],reciproc:2,sympycor:10,evalu:[],addison:10,"int":[4,2,8,9,10,12],dure:4,evalf:[],hyperbol:10,witherden:10,deeper:9,detail:[8,1,10,11,12],virtual:[6,11],book:6,bool:8,futur:4,branch:[9,2],stat:10,repeat:[4,2],"class":[4,2,8,9,10,14],sphinx:[10,6],eof:10,scientif:11,reliabl:14,agarw:10,rule:[8,9]},objtypes:{"0":"py:module","1":"np:module"},titleterms:{help:4,expand_log:2,shape:5,through:9,row:5,pretti:12,delet:5,sympi:[0,1,3,7,4,10,11],expand_trig:2,infrastructur:10,factor:2,introduct:[4,7],"float":4,string:1,get:4,python:4,financi:10,express:[4,1,9],repr:12,trigonometr:2,recurs:9,apart:2,insert:5,solver:13,list:4,logcombin:2,integr:14,team:10,quick:[1,2,5,6,8,9,12,14],unicod:12,set:12,continu:2,sign:[8,4],anaconda:11,further:8,special:[4,2],variabl:4,what:7,kei:9,collect:2,preliminari:6,expand_power_bas:2,access:5,rewrit:2,substitut:1,mathemat:4,between:4,print:12,determin:5,method:[5,11],matric:5,powsimp:2,ration:[4,2],run:11,deriv:14,power:[2,7],advanc:[9,5],manipul:9,dictionari:4,solv:13,immut:4,convert:1,column:5,equal:[8,4],tutori:[0,6,3],equat:13,constructor:5,support:10,oper:[4,1,5],within:4,number:4,walk:9,diagon:5,hyperexpand:2,cancel:2,instal:[6,11],pitfal:4,sourc:[4,11],git:11,from:4,creat:4,exponenti:2,licens:10,doubl:4,question:11,invers:4,calculu:14,interest:7,basic:[1,5],"final":8,more:7,"function":[4,2,12],fraction:2,tupl:4,gotcha:[8,4],relat:4,about:[13,10,6],warn:1,understand:9,func:9,logarithm:2,mathml:12,keyword:4,tree:9,limit:14,str:12,powdenest:2,eigenvector:5,seri:14,comput:7,evalu:4,trig:4,arg:9,argument:4,scipi:0,evalf:1,expand_func:2,doe:4,ascii:12,differenti:13,develop:10,tip:[1,2,5,6,8,9,12,14],note:[4,2,5,8,9,13],read:8,other:11,rref:5,singl:4,simplifi:2,printer:12,expand_power_exp:2,nullspac:5,algebra:13,expans:14,symbol:[8,4,7],polynomi:2,eigenvalu:5,two:8,why:7,expand:2,matrix:5,simplif:2,assign:4,exampl:[2,7],combsimp:2,thi:6,invari:9,trigsimp:2,dot:12},titles:["SymPy Tutorial for SciPy 2013","Basic Operations","Simplification","SymPy Tutorial","Gotchas and Pitfalls","Matrices","Preliminaries","Introduction","Gotchas","Advanced Expression Manipulation","About","Installation","Printing","Solvers","Calculus"],objnames:{"0":["py","module","Python module"],"1":["np","module","Python module"]},filenames:["index","tutorial/basic_operations","tutorial/simplification","tutorial/index","gotchas","tutorial/matrices","tutorial/preliminaries","tutorial/intro","tutorial/gotchas","tutorial/manipulation","aboutus","install","tutorial/printing","tutorial/solvers","tutorial/calculus"]})