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,19,24],revers:[3,6,7,13,19,20,21,24],revisit:19,rewrit:[3,8,15,19],rewritten:8,rid:11,right:[7,8,12,17,19,21,23,24],rightest:11,rightmost:6,rigor:16,risk:19,rk:17,rkei:17,rob:19,roll:[3,9,11,17],roll_dn:19,rolldown:[3,18,19,25],rollup:[3,19,25],root:[3,9,12],rough:15,round:[3,19],row:5,rrest:[3,18,19,25],rshift:[3,25],rtype:1,rule:[16,21],run:[0,1,3,6,8,9,11,12,13,15,16,17,19,20],runtim:16,runtimeerror:24,s0:19,s1:[18,19,25],s2:[18,19],s3:19,s4:19,s5:19,s:[0,1,2,3,4,7,8,10,12,13,14,15,16,17,18,20,21,23,24,25],sai:[5,7,11,12,15,17,19],same:[2,4,6,11,16,19,24],sandwich:[2,3,13],save:[2,5,6,8],scan:[],scanner:[8,22],scenario:20,scm:25,scope:[7,11],script:1,se:19,search:[0,11],sec:19,second:[3,8,11,13,15,17,24,25],section:13,see:[0,5,7,8,9,10,12,13,14,15,19,20,23],seem:[0,6,8,15,17,19,25],seen:[19,20],select:3,self:[5,16,19],semant:[2,3,8,10,11,16,19],semi:8,send:8,sens:[0,2,6,19,20],separ:[8,16,19,22],seq:19,sequenc:[0,1,2,3,6,8,11,13,14,20,21,22,25],sequence_to_stack:19,seri:[6,7,11,15,20],set:[2,3,5,13,19,21],seven:[6,7],sever:[0,4,8,13],shape:[5,16],share:[3,8],shelf:2,shew:5,shift:[6,7],shorter:21,shorthand:11,should:[2,3,5,6,11,13,16,19],shouldn:8,show:[4,15,16,19,20],shunt:[3,20],side:[5,11,18,19,25],sign:[],signatur:25,signifi:[8,11],similar:[11,15,17,19],simon:8,simpl:[1,5,8,13,15,24,25],simplefunctionwrapp:[3,14,19],simpler:17,simplest:[19,21],simpli:4,simplifi:[6,11,20],sinc:[2,6,11,15,19],singl:[3,7,8,14,15,16,19,22,25],singleton:5,situ:11,situat:11,six:[6,7,8],sixti:[6,7],size:[5,8,21],skeptic:8,skip:19,slight:9,slightli:[11,13,19],smallest:3,smart:11,sn:19,so:[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,25],softwar:8,solei:2,solut:[6,7],solvabl:8,some:[0,2,3,5,7,8,11,13,15,16,17,19,21,24,25],somehow:[11,19],someth:[2,10,11,19],sometim:11,somewher:[11,21],sort:[3,5,11,16,19],sort_:3,sourc:[0,1,3,19,21,22,23,24],space:[6,23],span:6,spawn:19,special:[7,11,21],specif:[0,4],specifi:[11,16],speed:14,spell:[5,17],sphinx:[21,24],spiral:[0,21],spiral_next:15,spirit:[0,1,17],split:[5,19],sqr:[3,8,9,12,20],sqrt:[3,9,19,25],squar:[0,3,9,19,21,22],square_spir:[],ss:19,stack:[0,1,3,6,7,9,11,12,13,14,15,16,17,18,20,21,22,23,25],stack_effect:19,stack_effect_com:19,stack_to_str:[18,24],stacki:19,stackjoytyp:19,stacklistbox:24,stackoverflow:15,stackstarjoytyp:19,stage:17,stai:[0,1],stand:[4,5],standard:[8,11],star:[17,19],stare:11,start:[5,6,7,8,9,11,13,17,19,25],state:[8,21],state_nam:5,statement:[3,5,15],stdout:[18,19],step:[3,6,8,11,14,19,20,21],stepper:15,still:[5,11,19],stop:11,stopiter:5,storag:[6,11],store:[6,13,19],stori:13,str:[1,5,19,22,23,24],straightforward:[5,7,9,15,19,21],stream:[6,18,19],stretch:11,string:[1,2,3,8,19,20,21,22,23,24],stringi:5,structur:[8,16,17,19,20,21,24],stuck:5,studi:5,stuff:[11,19],stuncon:[3,25],stununcon:[3,25],style:[0,4,19],sub:[3,10,16,25],subclass:8,subject:[16,20],subsequ:16,subset:[19,25],substitut:[5,11,19],subtract:6,subtyp:21,succ:[3,19,25],succe:19,success:9,suck:19,suffic:19,suffici:11,suffix:19,suggest:[4,5,11],suitabl:[1,3,4,6],sum:[3,7,8,12,13,14,17],sum_:[3,19],summand:6,sumtre:17,suppli:[11,22],support:[8,19,23,24],sure:16,suspect:2,svg:5,swaack:[3,12,14,15,19,20,25],swap:[3,6,7,8,9,11,13,14,15,16,17,18,20,25],swon:[3,7,8,13,17,19,20,25],swoncat:[7,8,9,13,17],swuncon:13,sy:[18,19,24],sym:5,symbol:[1,2,3,5,16,19,20,21,22,23],symboljoytyp:19,symmetr:[6,11,15],symmetri:[5,15],syntact:8,syntax:[8,24],system:[8,11,16],t0:3,t1:3,t:[2,3,5,6,8,10,11,13,15,16,19,20,24],tabl:[5,19],tag:[5,19,25],tail:[9,11,19,21,24],tailrec:[3,9],take:[3,5,6,8,9,11,13,15,16,19,24],talk:[8,11,19,24],target:20,tast:4,tbd:8,te:11,tear:13,technic:2,techniqu:[4,20],technolog:2,temporari:20,ten:6,term:[1,2,5,8,9,13,16,19,21,22,24,25],termin:[2,3,5,13],ternari:8,test:[2,3,13],text:[0,1,19],text_to_express:[8,18,22],textual:8,than:[0,3,5,6,7,8,9,13,16,17,19,24,25],thei:[2,5,6,7,8,11,13,15,16,19,20,22,24],them:[0,2,5,6,7,11,13,15,16,19,20,21,25],themselv:[16,19],theori:[2,3,13,16],therefor:7,thi:[0,1,2,3,4,5,6,7,8,9,12,13,15,16,17,19,20,21,22,23,24,25],thing:[2,7,11,13,16,19,20,22,24,25],think:[2,6,8,11,13,16,17,19],third:[3,7,8,11,25],thirti:6,those:[2,3,5,11,13,15,19,21,25],though:[6,16],thought:[8,16],thousand:6,thread:[2,16],three:[2,3,5,6,8,11,12,15,17,19,21],through:[1,6,8,17,19,20,24,25],thun:[2,3,4,10,13,16],thunder:8,thunk:16,time:[3,5,6,8,9,11,13,15,16,19,20],titl:19,to_check:5,to_index:24,to_set:11,todai:8,todo:[8,22],togeth:[7,8,16,19,21],token:22,toler:21,too:[5,13,19],tool:[8,19],tooo:19,top:[2,3,8,13,19,23,24],total:6,tower:19,trace:[0,8,12,13,15,20,21,24],traceback:19,traceprint:23,track:[12,19,20],tracker:0,transform:4,transit:5,translat:[4,12,19,21],trap:5,travers:[0,21],treasur:0,treat:[0,2,3,13,19,21],treatment:7,tree:[0,8,21],treegrind:21,treestep:[0,21],tri:6,triangl:16,triangular_numb:13,trick:[6,19],tricki:19,trobe:0,trove:0,truediv:25,truthi:[3,8,16,19],ts:17,tuck:[3,8,19,25],tupl:[3,5,8,19,24],turn:[2,3,5,19,21],twice:[11,13],two:[0,2,3,6,8,9,11,12,13,15,16,17,18,19,20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,19,20,21,24,25],txt:[],type:[0,1,4,8,11,13,16,21,22,23,24],typeerror:19,typeless:19,typic:[2,3,12,13],u:[18,19],uh:19,ui:8,ulam:[0,15],unari:8,unarybuiltinwrapp:3,unbalanc:[11,22],unbound:25,unchang:11,uncompil:19,uncon:[3,7,8,11,13,17,20,25],under:[2,3,8,11],underli:[5,16,19],underscor:19,understand:[0,11],undistinguish:11,undocu:8,unfinish:5,unfortun:24,unicod:19,unif:[19,21],unifi:18,union:5,uniqu:[3,5,11,19],unit:[3,8,13,16,25],univers:[0,8,16,19],unknownsymbolerror:1,unlik:16,unnecessari:21,unnecesssari:19,unpack:[2,3,11,24],unpair:6,unquot:[8,15,17,22],unread:[0,15],unrol:5,unstack:19,unswon:[3,25],untangl:13,until:[5,7,16],unus:6,unusu:11,unwrap:5,up:[1,2,3,6,7,8,11,13,14,15,16,19,20,24],updat:[0,18,21,25],uppercas:5,upward:16,us:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,20,21,22,24,25],usag:8,user:17,usual:[0,2,13],util:[0,3,14,18,19],uu:19,v0:25,v:[2,6,7,9,11,12,13,14,15,17,20,21],valid:19,valu:[0,1,2,3,6,8,9,12,13,14,15,16,17,19,21,22,24,25],value_n:11,valueerror:[5,19,24],variabl:[19,21],variant:11,variat:[13,16,21],varieti:[4,8],variou:0,ve:[11,15,19],vener:24,verbos:4,veri:[0,1,4,5,8,11,15,24],versa:[2,19],version:[0,1,2,5,7,10,17,20,21],vi:21,via:8,vice:[2,19],view:[11,21],viewer:[1,8,10,23],vii:21,visibl:19,von:[0,2,3,4,13],vs:19,vv:19,w:[3,11,13,17,19],wa:[2,6,8,11,15,16,19,24],waaaai:5,wai:[0,2,3,4,5,6,8,13,14,15,16,19],wait:16,want:[2,6,7,9,11,13,19],warranti:[3,8],wash:8,wast:8,we:[2,5,6,7,8,9,10,12,13,14,15,16,19,20,21,24],web:24,websit:[0,6],welcom:8,well:[0,4,8,9,11,19,22],went:19,were:[8,19,20],what:[2,3,4,5,8,11,13,16,17,19,23],whatev:[2,3,13,17,24],when:[6,7,8,11,13,16,19,20,22,24,25],where:[2,3,5,8,11,13,15,19,21,24],whether:[3,13],which:[0,1,3,5,6,8,9,11,15,16,17,19,20,22,24,25],whole:[2,3,6,13,17,19],whose:7,why:[9,16,17],wiki:11,wikipedia:[0,11,20],wildli:8,wind:8,wire:13,within:[8,11,14,21],without:[2,8,11,12,15,16,19],won:[11,19,24],word:[0,3,6,8,13,20],work:[0,3,5,6,7,8,9,11,12,13,15,16,17,20,21,24,25],worker:16,worri:16,worth:6,would:[2,6,7,8,9,11,13,16,19,20,24],wrap:[3,8],wrapper:19,write:[4,5,9,11,13,15,16,17,19,20,21,24],written:[0,1,9,11,14,19,24],wrong:2,wrote:19,x:[0,3,5,6,8,9,16,20,21],xor:3,xrang:19,y:[2,3,5,15,16],yang:19,yeah:16,year:[8,19],yet:[11,16,19,20],yield:[2,3,13,19,24],yin:21,you:[0,2,3,5,6,7,8,10,11,12,13,14,15,16,17,19,20,23,24,25],your:[2,3,8,13,19],yourself:[5,8,11],z:[3,5,16,19,21],zero:[3,5,11,13,16,17,19,22,24],zerodivisionerror:19,zip:[3,5,6,19],zip_:3,zipper:[0,21],zstr:20},titles:["Thun 0.4.1 Documentation","Joy Interpreter","Functions Grouped by, er, Function with Examples","Function Reference","Categorical Programming","\u2202RE","Developing a Program in Joy","Using <code class=\"docutils literal notranslate\"><span class=\"pre\">x</span></code> to Generate Values","Thun: Joy in Python","Newton\u2019s method","No Updates","Treating Trees I: Ordered Binary Trees","Quadratic formula","Recursion Combinators","Replacing Functions in the Dictionary","Square Spiral Example Joy Code","The Four Fundamental Operations of Definite Action","Treating Trees II: <code class=\"docutils literal notranslate\"><span class=\"pre\">treestep</span></code>","Type Checking","The Blissful Elegance of Typing Joy","Traversing Datastructures with Zippers","Essays about Programming in Joy","Parsing Text into Joy Expressions","Tracing Joy Execution","Stack or Quote or Sequence or List\u2026","Type Inference of Joy 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