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Davi C. Rodrigues
Aula 3\
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e-mail: davi@cosmo-ufes.org
p\[AAcute]gina do curso: davi.cosmo-ufes.org/mc2019\
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Abaixo temos uma aplica\[CCedilla]\[ATilde]o de fun\[CCedilla]\[ATilde]o pura \
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A estrutura abaixo com dois \[OpenCurlyDoubleQuote]#\[CloseCurlyDoubleQuote] \
funciona, mas a leitura (por um humano) \[EAcute] um pouco confusa, pois o \
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\[CloseCurlyDoubleQuote] o Mathematica substitui os valores primeiro.\
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Uma forma de tornar a leitura mais clara (que pode ser especialmente \
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Outra forma \[EAcute] usando o Hold, assim exigindo que primeiro o Map (/@) \
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 "Enfatizo que para esse caso em particular, nem a \
defini\[CCedilla]\[ATilde]o da fun\[CCedilla]\[ATilde]o f e nem o uso de Hold \
\[EAcute] essencial, dado que o Mathematica j\[AAcute] interpreta o uso de # \
na ordem que desejamos (a outra ordem simplesmente n\[ATilde]o faz sentido). \
Essas formas com f e com Hold podem ser essenciais em outros problemas mais \
complexos, al\[EAcute]m de serem recomendadas para facilitar a leitura. \n",
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tanto realizar as opera\[CCedilla]\[OTilde]es desejadas quando deve ser \
claro, de forma possibilitar a f\[AAcute]cil leitura e \
edi\[CCedilla]\[ATilde]o.",
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s\[IAcute]mbolos diversos como parte de uma t\[EAcute]cnica de programa\
\[CCedilla]\[ATilde]o. H\[AAcute] diversas fun\[CCedilla]\[OTilde]es j\
\[AAcute] prontas para fazer e manipular listas. "
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RandomChoice permite a escolha de quaisquer elementos aleat\[OAcute]rios, n\
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Estendendo a quest\[ATilde]o, podemos tratar da \
distribui\[CCedilla]\[ATilde]o de dados gerados por 10 passos de \
\[OpenCurlyDoubleQuote]random walk\[CloseCurlyDoubleQuote].

Gerar um histograma simples \[EAcute] imediato... Pode-se usar RandomChoice \
ao inv\[EAcute]s do RandomInteger com a substitui\[CCedilla]\[ATilde]o. \
\[CapitalEAcute] bom entender as duas formas, mas destaque para se \
familizarizar com o uso de \[OpenCurlyDoubleQuote]/.\[CloseCurlyDoubleQuote]\
\>", "Text",
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Cell["\<\
Importante: a cada vez que randomWalk \[EAcute] chamado, novos \
n\[UAcute]meros s\[ATilde]o sorteados (consequ\[EHat]ncia de ser definido \
atrav\[EAcute]s de SetDelayed ao inv\[EAcute]s de Set).

Abaixo definimos a dist\[AHat]ncia percorrida em 50 passos rand\[OHat]micos \
em uma dimens\[ATilde]o. Note o uso de \[OpenCurlyDoubleQuote]Abs\
\[CloseCurlyDoubleQuote], que for\[CCedilla]a o valor absoluto, o \
\[OpenCurlyDoubleQuote]m\[OAcute]dulo\[CloseCurlyDoubleQuote]. 

Em seguida, mostra-se a distribui\[CCedilla]\[ATilde]o associada \[AGrave] \
dist\[AHat]ncia\
\>", "Text",
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 StyleBox["Exerc\[IAcute]cio para nota (enviar por email):\[LineSeparator]",
  FontWeight->"Bold"],
 "Defina a fun\[CCedilla]\[ATilde]o RWdata, cujos argumentos s\[ATilde]o: n\
\[UAcute]mero de dimens\[OTilde]es, n\[UAcute]mero de passos  e  \
n\[UAcute]mero de realiza\[CCedilla]\[OTilde]es. \nEssa fun\[CCedilla]\
\[ATilde]o tem de ter como resultado uma lista com dois n\[UAcute]meros:  \
dist\[AHat]ncia m\[EAcute]dia e desvio padr\[ATilde]o da dist\[AHat]ncia.\nOu \
seja, para o caso acima que funciona (sem n\[UAcute]meros complexos), poder\
\[IAcute]amos encontrar a m\[EAcute]dia e o desvio padr\[ATilde]o usando \
RWdata[3, 100, 50000]. E a resposta seria a seguinte lista: {15.9202, \
6.70355}.\n\nObserva\[CCedilla]\[ATilde]o: \[EAcute] bom saber fazer isto no \
mathematica, mas se fizer em qualquer outra linguagem vale a mesma pontua\
\[CCedilla]\[ATilde]o. Em outras linguagens haver\[AAcute] uma diferen\
\[CCedilla]a de nota\[CCedilla]\[ATilde]o, mas isso n\[ATilde]o \[EAcute] \
relevante para a avalia\[CCedilla]\[ATilde]o."
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