{"id":179,"date":"2014-02-11T20:01:01","date_gmt":"2014-02-11T20:01:01","guid":{"rendered":"http:\/\/blog.ufes.br\/ramoncampos\/?p=179"},"modified":"2014-02-11T20:07:07","modified_gmt":"2014-02-11T20:07:07","slug":"python-aula-2","status":"publish","type":"post","link":"https:\/\/blog.ufes.br\/ramoncampos\/2014\/02\/11\/python-aula-2\/","title":{"rendered":"Python – Aula 2"},"content":{"rendered":"
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Primeiros Passos no IPython Notebook<\/strong><\/p>\n

Disciplina “Computa\u00e7\u00e3o no Ensino de F\u00edsica” (CEF)<\/a> da UFES\/Alegre<\/h2>\n

Curso de Licenciatura em F\u00edsica – Turma 2013\/2<\/h2>\n

\u00a0Autoria : Prof. Ram\u00f3n Giostri Campos – 2014\/1.<\/h2>\n

 <\/p>\n<\/div>\n<\/div>\n

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Veremos abaixo como usar o IPython notebook como calculadora inteligente, como manipular strings, como criar estruturas (testes, loop, fun\u00e7oes e et cetera), vamos tentar fazer alguns gr\u00e1ficos mais simples.<\/p>\n

Depois veremos como misturar essas coisas;<\/p>\n<\/div>\n<\/div>\n

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Carregar o IPyhon notebook:<\/h1>\n<\/div>\n<\/div>\n
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Digite $ipython notebook –pylab inline<\/p>\n

A primeira parte “ipython notebook” \u00e9 comum. A segunda parte ” –pylab inline” \u00e9 opcional, por\u00e9m ela \u00e9 muito interessante pois permite que incluir os gr\u00e1ficos do matplotlib feitos aqui diretamente no corpo deste documento; Inclusive isso carrega automaticamente o PyLab (numpy e matplotlib);<\/p>\n<\/div>\n<\/div>\n

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Exerc\u00edcio 1<\/h2>\n<\/div>\n<\/div>\n
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Pesquise outra forma de carregar o Pylab, para o caso de n\u00e3o usarmos o comando “–pylab inline” (isso as vezes \u00e9 conveniente);<\/h4>\n<\/div>\n<\/div>\n
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Usando como uma calculadora:<\/h1>\n<\/div>\n<\/div>\n
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Note que apertar “enter”, apenas pula de linha (isso ser\u00e1 \u00fatil mais tarde) e para executar a linha damos “shift+enter”<\/p>\n<\/div>\n<\/div>\n

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In\u00a0[1]:<\/div>\n
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1+1<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[1]:<\/div>\n
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2<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[2]:<\/p>\n
(50-5*6)\/4<\/pre>\n<\/div>\n<\/div>\n
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Out[2]:<\/div>\n
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5<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[3]:<\/div>\n
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5\/2<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[3]:<\/div>\n
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2<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Opa!!! Tem algo estranho aqui … sabemos que 5\/2 = 2,5 . Mas o Python, assim como Fortran, C, Pascal, divis\u00e3o de INTEIROS \u00e9 truncada e com resultado INTEIRO;<\/p>\n
Resolvemos o impasse simplismente enfiando um n\u00famero REAL (tipo float) na conta;<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[4]:<\/div>\n
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5\/float(2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[4]:<\/div>\n
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2.5<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Ou de forma mais simples, coloque um ponto em algum dos n\u00fameros!<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[5]:<\/div>\n
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5\/2.<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[5]:<\/div>\n
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2.5<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[6]:<\/div>\n
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5.\/2<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[6]:<\/div>\n
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2.5<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Note que claramente 2 n\u00e3o \u00e9 igual a 2. (pelo menos no contexto de programa\u00e7\u00e3o), por outro lado em termos de quantidade eles representam a mesma coisa.<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[7]:<\/div>\n
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2 is 2.<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[7]:<\/p>\n
False<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[8]:<\/div>\n
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2==2.<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[8]:<\/div>\n
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True<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Falaremos mais sobre testes em outro momento. Agora vamos continuar com a calculadora.<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[9]:<\/div>\n
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sqrt(2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[9]:<\/div>\n
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1.4142135623730951<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[10]:<\/div>\n
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exp(1)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[10]:<\/div>\n
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2.7182818284590451<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[11]:<\/div>\n
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log(1.1)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[11]:<\/div>\n
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0.095310179804324935<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[12]:<\/div>\n
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pi<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[12]:<\/div>\n
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3.141592653589793<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[13]:<\/p>\n
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sin(pi\/4)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[13]:<\/div>\n
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0.70710678118654746<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[14]:<\/div>\n
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tan(pi\/2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[14]:<\/div>\n
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16331239353195370.0<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Note que por ser tratar de um c\u00e1lculo num\u00e9rico, a tangente de pi\/2 \u00e9 calculada (s\u00f3 que d\u00e1 um n\u00famero muito grante). Sabemos que isso n\u00e3o \u00e9 verdade.<\/p>\n<\/div>\n<\/div>\n
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Vamos definir algumas vari\u00e1veis agora,<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[15]:<\/div>\n
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comprimento =10<\/pre>\n
largura = 20<\/pre>\n
area = comprimento * largura<\/pre>\n
area<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[15]:<\/div>\n
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200<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[16]:<\/div>\n
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altura = 5<\/pre>\n
volume = area * altura<\/pre>\n
volume<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[16]:<\/div>\n
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1000<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Apesar do PyLab carregar muitas fun\u00e7\u00f5es matem\u00e1ticas, algumas ainda est\u00e3o de fora, uma delas \u00e9 o fatorial.<\/p>\n
n! = n (n-1)(n-2)(n-3)…43<\/em>2*1<\/p>\n
Corrigimos isso importando a seguinte fun\u00e7\u00e3o do pacote matem\u00e1tico MATH;<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[17]:<\/div>\n
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from math import factorial<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[18]:<\/div>\n
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factorial(12)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[18]:<\/div>\n
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479001600<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Agora vamos manipular algumas STRINGS<\/h1>\n<\/div>\n<\/div>\n
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In\u00a0[19]:<\/div>\n
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'Assim pintamos strings'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[19]:<\/div>\n
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'Assim pintamos strings'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[20]:<\/div>\n
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saldacao = ' Como vai?'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[21]:<\/div>\n
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complemento = ' E ai Fulano!'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[22]:<\/div>\n
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complemento + saldacao<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[22]:<\/div>\n
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' E ai Fulano! Como vai?'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[23]:<\/div>\n
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\"Funciona com duas aspas\"<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[23]:<\/div>\n
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'Funciona com duas aspas'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[24]:<\/div>\n
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\"Mas os acentos n\u00e3o funcionam\"<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[24]:<\/div>\n
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'Mas os acentos n\\xc3\\xa3o funcionam'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Para esses casos use o PRINT<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[25]:<\/div>\n
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print complemento + saldacao, \" n\u00e3o est\u00e1 bem!\"<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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 E ai Fulano! Como vai?  n\u00e3o est\u00e1 bem!<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Listas<\/h1>\n<\/div>\n<\/div>\n
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Isso \u00e9 natural no Python<\/h2>\n<\/div>\n<\/div>\n
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In\u00a0[26]:<\/div>\n
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dias_da_semana = [\"domingo\",\"segunda\",\"ter\u00e7a\",\"quarta\", \"quinta\", \"sexta\", \"s\u00e1bado\"]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[27]:<\/div>\n
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dias_da_semana[2]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[27]:<\/div>\n
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'ter\\xc3\\xa7a'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[28]:<\/div>\n
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print dias_da_semana[-1]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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s\u00e1bado<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[29]:<\/div>\n
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len(dias_da_semana)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[29]:<\/p>\n
7<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Exerc\u00edcio 2<\/h2>\n<\/div>\n<\/div>\n
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Pesquise como descobrir mais informa\u00e7\u00f5es sobre esse comando “len”?<\/h4>\n<\/div>\n<\/div>\n
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Listas num\u00e9ricas agora.<\/h2>\n<\/div>\n<\/div>\n
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Usamos o RANGE (significa s\u00e9rie ou varia\u00e7\u00e3o em ingl\u00eas)<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[157]:<\/div>\n
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?range<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[32]:<\/div>\n
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range(10)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[32]:<\/div>\n
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[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[33]:<\/div>\n
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range(5,10)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[33]:<\/div>\n
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[5, 6, 7, 8, 9]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[34]:<\/div>\n
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range(1,10,2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[34]:<\/div>\n
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[1, 3, 5, 7, 9]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[35]:<\/div>\n
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range(1,10,0.2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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---------------------------------------------------------------------------\r\nTypeError                                 Traceback (most recent call last)\r\n<ipython-input-35-cab7b13a5a94> in <module>()\r\n----> 1 range(1,10,0.2)\r\n\r\nTypeError: range() integer step argument expected, got float.<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Usamos para isso o arange, que \u00e9 uma rotina do NumPy<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[36]:<\/div>\n
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lista_float=arange(1,10,0.2)<\/pre>\n
print lista_float<\/pre>\n
type(lista_float)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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[ 1.   1.2  1.4  1.6  1.8  2.   2.2  2.4  2.6  2.8  3.   3.2  3.4  3.6  3.8\r\n  4.   4.2  4.4  4.6  4.8  5.   5.2  5.4  5.6  5.8  6.   6.2  6.4  6.6  6.8\r\n  7.   7.2  7.4  7.6  7.8  8.   8.2  8.4  8.6  8.8  9.   9.2  9.4  9.6  9.8]<\/pre>\n<\/div>\n<\/div>\n
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Out[36]:<\/div>\n
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numpy.ndarray<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[37]:<\/div>\n
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lista_float<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[37]:<\/div>\n
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array([ 1. ,  1.2,  1.4,  1.6,  1.8,  2. ,  2.2,  2.4,  2.6,  2.8,  3. ,\r\n        3.2,  3.4,  3.6,  3.8,  4. ,  4.2,  4.4,  4.6,  4.8,  5. ,  5.2,\r\n        5.4,  5.6,  5.8,  6. ,  6.2,  6.4,  6.6,  6.8,  7. ,  7.2,  7.4,\r\n        7.6,  7.8,  8. ,  8.2,  8.4,  8.6,  8.8,  9. ,  9.2,  9.4,  9.6,\r\n        9.8])<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Listas MISTAS<\/h3>\n<\/div>\n<\/div>\n
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In\u00a0[38]:<\/div>\n
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mista = [1, \"lista\", \"estranha\", 100.]<\/pre>\n
mista<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[38]:<\/div>\n
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[1, 'lista', 'estranha', 100.0]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[39]:<\/div>\n
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type(mista)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[39]:<\/div>\n
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list<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[40]:<\/div>\n
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?list<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Cuidado, pois dependendo de como voc\u00ea gera uma “lista”, ela pode n\u00e3o ser defato uma lista (seja ela mista ou n\u00e3o).<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[41]:<\/div>\n
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tupla_mista = (1, \"lista\", \"estranha\", 100.)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[42]:<\/div>\n
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type(tupla_mista)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[42]:<\/div>\n
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tuple<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[43]:<\/div>\n
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?tuple<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[44]:<\/div>\n
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set_mista = {1, \"lista\", \"estranha\", 100.}<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[45]:<\/div>\n
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type(set_mista)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[45]:<\/div>\n
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set<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[46]:<\/div>\n
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?set<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Vamos as estruturas:<\/h1>\n<\/div>\n<\/div>\n
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Loop<\/h2>\n<\/div>\n<\/div>\n
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Exerc\u00edcio 3 – Tente ler o comando abaixo:<\/h4>\n<\/div>\n<\/div>\n
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In\u00a0[47]:<\/div>\n
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for i in range(len(mista)):\r\n    tipo = type(mista[i])\r\n    print tipo<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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<type 'int'>\r\n<type 'str'>\r\n<type 'str'>\r\n<type 'float'><\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Teste verdadeiro ou falso:<\/h2>\n<\/div>\n<\/div>\n
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Teste de Igual<\/h3>\n<\/div>\n<\/div>\n
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In\u00a0[49]:<\/div>\n
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2==2.<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[49]:<\/div>\n
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True<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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O duplo igual (==) \u00e9 usado para o teste, pois tradicionalmente o igual simples (=) \u00e9 usado para atribui\u00e7\u00e3o de valor;<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[16]:<\/div>\n
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v=2<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[50]:<\/div>\n
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v==float(2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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---------------------------------------------------------------------------\r\nNameError                                 Traceback (most recent call last)\r\n<ipython-input-50-1fafca712b6d> in <module>()\r\n----> 1 v==float(2)\r\n\r\nNameError: name 'v' is not defined<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Outros testes:<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[19]:<\/div>\n
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2!=2.0<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[19]:<\/div>\n
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False<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[51]:<\/div>\n
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2<1.01<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[51]:<\/div>\n
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False<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[52]:<\/div>\n
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2<=1.01<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[52]:<\/div>\n
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False<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[53]:<\/div>\n
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2>1.01<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[53]:<\/div>\n
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True<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[54]:<\/div>\n
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2>=1.01<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[54]:<\/div>\n
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True<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[55]:<\/div>\n
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for dia in dias_da_semana:\r\n    qual_dia = \"Hoje \u00e9 \" + dia\r\n    print qual_dia\r\n    if dia == \"domingo\":\r\n        print \"   Durmi at\u00e9 tarde\"\r\n    elif dia == \"s\u00e1bado\":\r\n        print \"   Dia de tormir tarde...\"\r\n    else:\r\n        print \"   Vou ao trabalho\"<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Hoje \u00e9 domingo\r\n   Durmi at\u00e9 tarde\r\nHoje \u00e9 segunda\r\n   Vou ao trabalho\r\nHoje \u00e9 ter\u00e7a\r\n   Vou ao trabalho\r\nHoje \u00e9 quarta\r\n   Vou ao trabalho\r\nHoje \u00e9 quinta\r\n   Vou ao trabalho\r\nHoje \u00e9 sexta\r\n   Vou ao trabalho\r\nHoje \u00e9 s\u00e1bado\r\n   Dia de tormir tarde...<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Definindo fun\u00e7\u00f5es<\/h2>\n<\/div>\n<\/div>\n
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Vamos voltar ao tal do fatorial(n!), poder\u00edamos fazer um no lugar de pegar um pronto.<\/p>\n<\/div>\n<\/div>\n
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Construindo a fun\u00e7\u00e3o Fatorial (Exerc\u00edcio 4 -> pesquisar outra forma de fazer o fatorial)<\/h4>\n<\/div>\n<\/div>\n
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In\u00a0[56]:<\/div>\n
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def fatorial(m):   # aqui dizemos quem \u00e9 a fun\u00e7\u00e3o\r\n    j = 1       # \r\n    n = m \r\n    if n > 1:  # Faz o teste se o n\u00famero \u00e9 maior que um;\r\n        for i in range(1, n + 1): # Loop para fazer as multiplica\u00e7\u00f5es\r\n             j = j * i # Intera\u00e7\u00e3o\r\n        return j      # Retorno o resultado\r\n    else:\r\n        return 1\r\n#Cuidado com a identa\u00e7\u00e3o ela pode gerar erros!<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[57]:<\/div>\n
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fatorial(12)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[57]:<\/div>\n
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479001600<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[58]:<\/div>\n
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fatorial(12.11)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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---------------------------------------------------------------------------\r\nTypeError                                 Traceback (most recent call last)\r\n<ipython-input-58-408a4ad43407> in <module>()\r\n----> 1 fatorial(12.11)\r\n\r\n<ipython-input-56-477990fc6bce> in fatorial(m)\r\n      3     n = m\r\n      4     if n > 1:  # Faz o teste se o n\u00famero \u00e9 maior que um;\r\n----> 5         for i in range(1, n + 1): # Loop para fazer as multiplica\u00e7\u00f5es\r\n      6              j = j * i # Intera\u00e7\u00e3o\r\n      7         return j      # Retorno o resultado\r\n\r\nTypeError: range() integer end argument expected, got float.<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[59]:<\/div>\n
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factorial(12.1)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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---------------------------------------------------------------------------\r\nValueError                                Traceback (most recent call last)\r\n<ipython-input-59-c8a524155186> in <module>()\r\n----> 1 factorial(12.1)\r\n\r\nValueError: factorial() only accepts integral values<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Exerc\u00edcio 5 – Tente bolar um filtro para n\u00fameros interios no nosso fatorial constru\u00eddo;<\/h3>\n<\/div>\n<\/div>\n
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Soma da PA (Progress\u00e3o Aritm\u00e9tica)<\/h4>\n<\/div>\n<\/div>\n
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In\u00a0[60]:<\/div>\n
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def somapa(a1,n,r):\r\n    an = a1 + (n-1)*r #n-\u00e9simo termo;\r\n    sn = n*(a1+an)\/2 #soma dos n primeiros termos\r\n    return sn<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[75]:<\/div>\n
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somapa(1,10,2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[75]:<\/div>\n
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100<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Soma da PG (Progress\u00e3o Geom\u00e9trica)<\/h4>\n<\/div>\n<\/div>\n
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In\u00a0[62]:<\/div>\n
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def somapg(a1,n,q):\r\n    sn = a1*(1-q**n)\/(1-q) #soma dos n primeiros termos\r\n    return sn<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[63]:<\/div>\n
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somapg(1,10,2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[63]:<\/div>\n
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1023<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Um pouco de gr\u00e1ficos (s\u00f3 para sentir o gostinho)<\/h1>\n<\/div>\n<\/div>\n
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Primeiro vamos carregar o m\u00f3dulo gr\u00e1fico<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[64]:<\/div>\n
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import matplotlib.pyplot as plt<\/pre>\n<\/div>\n
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Essa forma de carregar acrescente o prefixo plt nas fun\u00e7\u00f5es carregadas pelo m\u00f3dulo. Fun\u00e7\u00f5es com essa caracter\u00edstica est\u00e3o num CONTEXTO espec\u00edfico (nesse caso plt);<\/p>\n<\/div>\n<\/div>\n
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Digite os comandos help(plt) e dir(plt), para ver respectivamente o HELP do pacote e a LISTA de fun\u00e7\u00f5es carregadas<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[122]:<\/div>\n
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x=arange(2,10,0.1)\r\nprint x<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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[ 2.   2.1  2.2  2.3  2.4  2.5  2.6  2.7  2.8  2.9  3.   3.1  3.2  3.3  3.4\r\n  3.5  3.6  3.7  3.8  3.9  4.   4.1  4.2  4.3  4.4  4.5  4.6  4.7  4.8  4.9\r\n  5.   5.1  5.2  5.3  5.4  5.5  5.6  5.7  5.8  5.9  6.   6.1  6.2  6.3  6.4\r\n  6.5  6.6  6.7  6.8  6.9  7.   7.1  7.2  7.3  7.4  7.5  7.6  7.7  7.8  7.9\r\n  8.   8.1  8.2  8.3  8.4  8.5  8.6  8.7  8.8  8.9  9.   9.1  9.2  9.3  9.4\r\n  9.5  9.6  9.7  9.8  9.9]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u00c9 importante usar o ARANGE, no lugar do RANGE, para gerar uma lista passivel de ser usada pela fun\u00e7\u00e3o;<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[123]:<\/div>\n
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ypa=somapa(1,x,2)\r\nprint ypa<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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[  4.     4.41   4.84   5.29   5.76   6.25   6.76   7.29   7.84   8.41   9.\r\n   9.61  10.24  10.89  11.56  12.25  12.96  13.69  14.44  15.21  16.    16.81\r\n  17.64  18.49  19.36  20.25  21.16  22.09  23.04  24.01  25.    26.01\r\n  27.04  28.09  29.16  30.25  31.36  32.49  33.64  34.81  36.    37.21\r\n  38.44  39.69  40.96  42.25  43.56  44.89  46.24  47.61  49.    50.41\r\n  51.84  53.29  54.76  56.25  57.76  59.29  60.84  62.41  64.    65.61\r\n  67.24  68.89  70.56  72.25  73.96  75.69  77.44  79.21  81.    82.81\r\n  84.64  86.49  88.36  90.25  92.16  94.09  96.04  98.01]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[124]:<\/div>\n
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ypg=somapg(1,x,2)\r\nprint ypg<\/pre>\n<\/div>\n
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[   3.            3.28709385    3.59479342    3.92457765    4.27803164\r\n    4.65685425    5.06286627    5.49801917    5.96440451    6.46426393\r\n    7.            7.5741877     8.18958684    8.84915531    9.55606329\r\n   10.3137085    11.12573253   11.99603834   12.92880901   13.92852786\r\n   15.           16.1483754    17.37917368   18.69831061   20.11212657\r\n   21.627417     23.25146506   24.99207668   26.85761803   28.85705573\r\n   31.           33.2967508    35.75834736   38.39662123   41.22425314\r\n   44.254834     47.50293013   50.98415337   54.71523605   58.71411146\r\n   63.           67.5935016    72.51669472   77.79324245   83.44850629\r\n   89.50966799   96.00586026  102.96830673  110.4304721   118.42822292\r\n  127.          136.1870032   146.03338944  156.58648491  167.89701258\r\n  180.01933598  193.01172051  206.93661347  221.8609442   237.85644583\r\n  255.          273.37400641  293.06677888  314.17296982  336.79402516\r\n  361.03867197  387.02344103  414.87322693  444.72188841  476.71289167\r\n  511.          547.74801282  587.13355776  629.34593963  674.58805032\r\n  723.07734394  775.04688205  830.74645387  890.44377682  954.42578333]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[125]:<\/div>\n
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plt.plot(x,ypa,x,ypg)<\/pre>\n<\/div>\n
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Out[125]:<\/div>\n
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[<matplotlib.lines.Line2D at 0x44ba790>,\r\n <matplotlib.lines.Line2D at 0x44ba610>]<\/pre>\n<\/div>\n<\/div>\n
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Primeiros Passos no IPython Notebook<\/strong><\/p>\n
Disciplina “Computa\u00e7\u00e3o no Ensino de F\u00edsica” (CEF)<\/a> da UFES\/Alegre<\/h2>\n
Curso de Licenciatura em F\u00edsica – Turma 2013\/2<\/h2>\n
\u00a0Autoria : Prof. Ram\u00f3n Giostri Campos – 2014\/1.<\/h2>\n
 <\/p>\n<\/div>\n<\/div>\n
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Veremos abaixo como usar o IPython notebook como calculadora inteligente, como manipular strings, como criar estruturas (testes, loop, fun\u00e7oes e et cetera), vamos tentar fazer alguns gr\u00e1ficos mais simples.<\/p>\n
Depois veremos como misturar essas coisas;<\/p>\n<\/div>\n<\/div>\n
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Carregar o IPyhon notebook:<\/h1>\n<\/div>\n<\/div>\n
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Digite $ipython notebook –pylab inline<\/p>\n
A primeira parte “ipython notebook” \u00e9 comum. A segunda parte “–pylab inline” \u00e9 opcional, por\u00e9m ela \u00e9 muito interessante pois permite que incluir os gr\u00e1ficos do matplotlib feitos aqui diretamente no corpo deste documento; Inclusive isso carrega automaticamente o PyLab (numpy e matplotlib);<\/p>\n<\/div>\n<\/div>\n
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Exerc\u00edcio 1<\/h2>\n<\/div>\n<\/div>\n
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Pesquise outra forma de carregar o Pylab, para o caso de n\u00e3o usarmos o comando “–pylab inline” (isso as vezes \u00e9 conveniente);<\/h4>\n<\/div>\n<\/div>\n
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Usando como uma calculadora:<\/h1>\n<\/div>\n<\/div>\n
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Note que apertar “enter”, apenas pula de linha (isso ser\u00e1 \u00fatil mais tarde) e para executar a linha damos “shift+enter”<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[1]:<\/div>\n
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1+1<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[1]:<\/div>\n
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2<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[2]:<\/p>\n
(50-5*6)\/4<\/pre>\n<\/div>\n<\/div>\n
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Out[2]:<\/div>\n
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5<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[3]:<\/div>\n
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5\/2<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[3]:<\/div>\n
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2<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Opa!!! Tem algo estranho aqui … sabemos que 5\/2 = 2,5 . Mas o Python, assim como Fortran, C, Pascal, divis\u00e3o de INTEIROS \u00e9 truncada e com resultado INTEIRO;<\/p>\n
Resolvemos o impasse simplismente enfiando um n\u00famero REAL (tipo float) na conta;<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[4]:<\/div>\n
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5\/float(2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[4]:<\/div>\n
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2.5<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Ou de forma mais simples, coloque um ponto em algum dos n\u00fameros!<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[5]:<\/div>\n
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5\/2.<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[5]:<\/div>\n
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2.5<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[6]:<\/div>\n
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5.\/2<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[6]:<\/div>\n
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2.5<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Note que claramente 2 n\u00e3o \u00e9 igual a 2. (pelo menos no contexto de programa\u00e7\u00e3o), por outro lado em termos de quantidade eles representam a mesma coisa.<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[7]:<\/div>\n
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2 is 2.<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[7]:<\/p>\n
False<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[8]:<\/div>\n
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2==2.<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[8]:<\/div>\n
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True<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Falaremos mais sobre testes em outro momento. Agora vamos continuar com a calculadora.<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[9]:<\/div>\n
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sqrt(2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[9]:<\/div>\n
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1.4142135623730951<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[10]:<\/div>\n
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exp(1)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[10]:<\/div>\n
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2.7182818284590451<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[11]:<\/div>\n
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log(1.1)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[11]:<\/div>\n
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0.095310179804324935<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[12]:<\/div>\n
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pi<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[12]:<\/div>\n
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3.141592653589793<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[13]:<\/p>\n
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sin(pi\/4)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[13]:<\/div>\n
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0.70710678118654746<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[14]:<\/div>\n
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tan(pi\/2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[14]:<\/div>\n
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16331239353195370.0<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Note que por ser tratar de um c\u00e1lculo num\u00e9rico, a tangente de pi\/2 \u00e9 calculada (s\u00f3 que d\u00e1 um n\u00famero muito grante). Sabemos que isso n\u00e3o \u00e9 verdade.<\/p>\n<\/div>\n<\/div>\n
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Vamos definir algumas vari\u00e1veis agora,<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[15]:<\/div>\n
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comprimento =10<\/pre>\n
largura = 20<\/pre>\n
area = comprimento * largura<\/pre>\n
area<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[15]:<\/div>\n
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200<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[16]:<\/div>\n
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altura = 5<\/pre>\n
volume = area * altura<\/pre>\n
volume<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[16]:<\/div>\n
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1000<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Apesar do PyLab carregar muitas fun\u00e7\u00f5es matem\u00e1ticas, algumas ainda est\u00e3o de fora, uma delas \u00e9 o fatorial.<\/p>\n
n! = n (n-1)(n-2)(n-3)…43<\/em>2*1<\/p>\n
Corrigimos isso importando a seguinte fun\u00e7\u00e3o do pacote matem\u00e1tico MATH;<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[17]:<\/div>\n
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from math import factorial<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[18]:<\/div>\n
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factorial(12)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[18]:<\/div>\n
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479001600<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Agora vamos manipular algumas STRINGS<\/h1>\n<\/div>\n<\/div>\n
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In\u00a0[19]:<\/div>\n
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'Assim pintamos strings'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[19]:<\/div>\n
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'Assim pintamos strings'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[20]:<\/div>\n
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saldacao = ' Como vai?'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[21]:<\/div>\n
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complemento = ' E ai Fulano!'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[22]:<\/div>\n
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complemento + saldacao<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[22]:<\/div>\n
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' E ai Fulano! Como vai?'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[23]:<\/div>\n
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\"Funciona com duas aspas\"<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[23]:<\/div>\n
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'Funciona com duas aspas'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[24]:<\/div>\n
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\"Mas os acentos n\u00e3o funcionam\"<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[24]:<\/div>\n
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'Mas os acentos n\\xc3\\xa3o funcionam'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Para esses casos use o PRINT<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[25]:<\/div>\n
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print complemento + saldacao, \" n\u00e3o est\u00e1 bem!\"<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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 E ai Fulano! Como vai?  n\u00e3o est\u00e1 bem!<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Listas<\/h1>\n<\/div>\n<\/div>\n
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Isso \u00e9 natural no Python<\/h2>\n<\/div>\n<\/div>\n
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In\u00a0[26]:<\/div>\n
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dias_da_semana = [\"domingo\",\"segunda\",\"ter\u00e7a\",\"quarta\", \"quinta\", \"sexta\", \"s\u00e1bado\"]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[27]:<\/div>\n
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dias_da_semana[2]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[27]:<\/div>\n
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'ter\\xc3\\xa7a'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[28]:<\/div>\n
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print dias_da_semana[-1]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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s\u00e1bado<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[29]:<\/div>\n
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len(dias_da_semana)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[29]:<\/p>\n
7<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Exerc\u00edcio 2<\/h2>\n<\/div>\n<\/div>\n
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Pesquise como descobrir mais informa\u00e7\u00f5es sobre esse comando “len”?<\/h4>\n<\/div>\n<\/div>\n
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Listas num\u00e9ricas agora.<\/h2>\n<\/div>\n<\/div>\n
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Usamos o RANGE (significa s\u00e9rie ou varia\u00e7\u00e3o em ingl\u00eas)<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[157]:<\/div>\n
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?range<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[32]:<\/div>\n
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range(10)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[32]:<\/div>\n
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[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[33]:<\/div>\n
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range(5,10)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[33]:<\/div>\n
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[5, 6, 7, 8, 9]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[34]:<\/div>\n
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range(1,10,2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[34]:<\/div>\n
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[1, 3, 5, 7, 9]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[35]:<\/div>\n
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range(1,10,0.2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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---------------------------------------------------------------------------\r\nTypeError                                 Traceback (most recent call last)\r\n<ipython-input-35-cab7b13a5a94> in <module>()\r\n----> 1 range(1,10,0.2)\r\n\r\nTypeError: range() integer step argument expected, got float.<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Usamos para isso o arange, que \u00e9 uma rotina do NumPy<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[36]:<\/div>\n
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lista_float=arange(1,10,0.2)<\/pre>\n
print lista_float<\/pre>\n
type(lista_float)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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[ 1.   1.2  1.4  1.6  1.8  2.   2.2  2.4  2.6  2.8  3.   3.2  3.4  3.6  3.8\r\n  4.   4.2  4.4  4.6  4.8  5.   5.2  5.4  5.6  5.8  6.   6.2  6.4  6.6  6.8\r\n  7.   7.2  7.4  7.6  7.8  8.   8.2  8.4  8.6  8.8  9.   9.2  9.4  9.6  9.8]<\/pre>\n<\/div>\n<\/div>\n
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Out[36]:<\/div>\n
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numpy.ndarray<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[37]:<\/div>\n
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lista_float<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[37]:<\/div>\n
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array([ 1. ,  1.2,  1.4,  1.6,  1.8,  2. ,  2.2,  2.4,  2.6,  2.8,  3. ,\r\n        3.2,  3.4,  3.6,  3.8,  4. ,  4.2,  4.4,  4.6,  4.8,  5. ,  5.2,\r\n        5.4,  5.6,  5.8,  6. ,  6.2,  6.4,  6.6,  6.8,  7. ,  7.2,  7.4,\r\n        7.6,  7.8,  8. ,  8.2,  8.4,  8.6,  8.8,  9. ,  9.2,  9.4,  9.6,\r\n        9.8])<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Listas MISTAS<\/h3>\n<\/div>\n<\/div>\n
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In\u00a0[38]:<\/div>\n
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mista = [1, \"lista\", \"estranha\", 100.]<\/pre>\n
mista<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[38]:<\/div>\n
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[1, 'lista', 'estranha', 100.0]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[39]:<\/div>\n
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type(mista)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[39]:<\/div>\n
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list<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[40]:<\/div>\n
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?list<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Cuidado, pois dependendo de como voc\u00ea gera uma “lista”, ela pode n\u00e3o ser defato uma lista (seja ela mista ou n\u00e3o).<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[41]:<\/div>\n
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tupla_mista = (1, \"lista\", \"estranha\", 100.)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[42]:<\/div>\n
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type(tupla_mista)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[42]:<\/div>\n
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tuple<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[43]:<\/div>\n
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?tuple<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[44]:<\/div>\n
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set_mista = {1, \"lista\", \"estranha\", 100.}<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[45]:<\/div>\n
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type(set_mista)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[45]:<\/div>\n
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set<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[46]:<\/div>\n
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?set<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Vamos as estruturas:<\/h1>\n<\/div>\n<\/div>\n
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Loop<\/h2>\n<\/div>\n<\/div>\n
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Exerc\u00edcio 3 – Tente ler o comando abaixo:<\/h4>\n<\/div>\n<\/div>\n
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In\u00a0[47]:<\/div>\n
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for i in range(len(mista)):\r\n    tipo = type(mista[i])\r\n    print tipo<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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<type 'int'>\r\n<type 'str'>\r\n<type 'str'>\r\n<type 'float'><\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Teste verdadeiro ou falso:<\/h2>\n<\/div>\n<\/div>\n
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Teste de Igual<\/h3>\n<\/div>\n<\/div>\n
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In\u00a0[49]:<\/div>\n
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2==2.<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[49]:<\/div>\n
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True<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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O duplo igual (==) \u00e9 usado para o teste, pois tradicionalmente o igual simples (=) \u00e9 usado para atribui\u00e7\u00e3o de valor;<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[16]:<\/div>\n
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v=2<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[50]:<\/div>\n
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v==float(2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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---------------------------------------------------------------------------\r\nNameError                                 Traceback (most recent call last)\r\n<ipython-input-50-1fafca712b6d> in <module>()\r\n----> 1 v==float(2)\r\n\r\nNameError: name 'v' is not defined<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Outros testes:<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[19]:<\/div>\n
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2!=2.0<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[19]:<\/div>\n
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False<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[51]:<\/div>\n
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2<1.01<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[51]:<\/div>\n
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False<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[52]:<\/div>\n
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2<=1.01<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[52]:<\/div>\n
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False<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[53]:<\/div>\n
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2>1.01<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[53]:<\/div>\n
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True<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[54]:<\/div>\n
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2>=1.01<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[54]:<\/div>\n
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True<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[55]:<\/div>\n
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for dia in dias_da_semana:\r\n    qual_dia = \"Hoje \u00e9 \" + dia\r\n    print qual_dia\r\n    if dia == \"domingo\":\r\n        print \"   Durmi at\u00e9 tarde\"\r\n    elif dia == \"s\u00e1bado\":\r\n        print \"   Dia de tormir tarde...\"\r\n    else:\r\n        print \"   Vou ao trabalho\"<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Hoje \u00e9 domingo\r\n   Durmi at\u00e9 tarde\r\nHoje \u00e9 segunda\r\n   Vou ao trabalho\r\nHoje \u00e9 ter\u00e7a\r\n   Vou ao trabalho\r\nHoje \u00e9 quarta\r\n   Vou ao trabalho\r\nHoje \u00e9 quinta\r\n   Vou ao trabalho\r\nHoje \u00e9 sexta\r\n   Vou ao trabalho\r\nHoje \u00e9 s\u00e1bado\r\n   Dia de tormir tarde...<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Definindo fun\u00e7\u00f5es<\/h2>\n<\/div>\n<\/div>\n
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Vamos voltar ao tal do fatorial(n!), poder\u00edamos fazer um no lugar de pegar um pronto.<\/p>\n<\/div>\n<\/div>\n
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Construindo a fun\u00e7\u00e3o Fatorial (Exerc\u00edcio 4 -> pesquisar outra forma de fazer o fatorial)<\/h4>\n<\/div>\n<\/div>\n
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In\u00a0[56]:<\/div>\n
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def fatorial(m):   # aqui dizemos quem \u00e9 a fun\u00e7\u00e3o\r\n    j = 1       # \r\n    n = m \r\n    if n > 1:  # Faz o teste se o n\u00famero \u00e9 maior que um;\r\n        for i in range(1, n + 1): # Loop para fazer as multiplica\u00e7\u00f5es\r\n             j = j * i # Intera\u00e7\u00e3o\r\n        return j      # Retorno o resultado\r\n    else:\r\n        return 1\r\n#Cuidado com a identa\u00e7\u00e3o ela pode gerar erros!<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[57]:<\/div>\n
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fatorial(12)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[57]:<\/div>\n
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479001600<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[58]:<\/div>\n
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fatorial(12.11)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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---------------------------------------------------------------------------\r\nTypeError                                 Traceback (most recent call last)\r\n<ipython-input-58-408a4ad43407> in <module>()\r\n----> 1 fatorial(12.11)\r\n\r\n<ipython-input-56-477990fc6bce> in fatorial(m)\r\n      3     n = m\r\n      4     if n > 1:  # Faz o teste se o n\u00famero \u00e9 maior que um;\r\n----> 5         for i in range(1, n + 1): # Loop para fazer as multiplica\u00e7\u00f5es\r\n      6              j = j * i # Intera\u00e7\u00e3o\r\n      7         return j      # Retorno o resultado\r\n\r\nTypeError: range() integer end argument expected, got float.<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[59]:<\/div>\n
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factorial(12.1)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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---------------------------------------------------------------------------\r\nValueError                                Traceback (most recent call last)\r\n<ipython-input-59-c8a524155186> in <module>()\r\n----> 1 factorial(12.1)\r\n\r\nValueError: factorial() only accepts integral values<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Exerc\u00edcio 5 – Tente bolar um filtro para n\u00fameros interios no nosso fatorial constru\u00eddo;<\/h3>\n<\/div>\n<\/div>\n
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Soma da PA (Progress\u00e3o Aritm\u00e9tica)<\/h4>\n<\/div>\n<\/div>\n
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In\u00a0[60]:<\/div>\n
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def somapa(a1,n,r):\r\n    an = a1 + (n-1)*r #n-\u00e9simo termo;\r\n    sn = n*(a1+an)\/2 #soma dos n primeiros termos\r\n    return sn<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[75]:<\/div>\n
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somapa(1,10,2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[75]:<\/div>\n
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100<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Soma da PG (Progress\u00e3o Geom\u00e9trica)<\/h4>\n<\/div>\n<\/div>\n
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In\u00a0[62]:<\/div>\n
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def somapg(a1,n,q):\r\n    sn = a1*(1-q**n)\/(1-q) #soma dos n primeiros termos\r\n    return sn<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[63]:<\/div>\n
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somapg(1,10,2)<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[63]:<\/div>\n
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1023<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Um pouco de gr\u00e1ficos (s\u00f3 para sentir o gostinho)<\/h1>\n<\/div>\n<\/div>\n
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Primeiro vamos carregar o m\u00f3dulo gr\u00e1fico<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[64]:<\/div>\n
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import matplotlib.pyplot as plt<\/pre>\n<\/div>\n
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Essa forma de carregar acrescente o prefixo plt nas fun\u00e7\u00f5es carregadas pelo m\u00f3dulo. Fun\u00e7\u00f5es com essa caracter\u00edstica est\u00e3o num CONTEXTO espec\u00edfico (nesse caso plt);<\/p>\n<\/div>\n<\/div>\n
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Digite os comandos help(plt) e dir(plt), para ver respectivamente o HELP do pacote e a LISTA de fun\u00e7\u00f5es carregadas<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[122]:<\/div>\n
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x=arange(2,10,0.1)\r\nprint x<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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[ 2.   2.1  2.2  2.3  2.4  2.5  2.6  2.7  2.8  2.9  3.   3.1  3.2  3.3  3.4\r\n  3.5  3.6  3.7  3.8  3.9  4.   4.1  4.2  4.3  4.4  4.5  4.6  4.7  4.8  4.9\r\n  5.   5.1  5.2  5.3  5.4  5.5  5.6  5.7  5.8  5.9  6.   6.1  6.2  6.3  6.4\r\n  6.5  6.6  6.7  6.8  6.9  7.   7.1  7.2  7.3  7.4  7.5  7.6  7.7  7.8  7.9\r\n  8.   8.1  8.2  8.3  8.4  8.5  8.6  8.7  8.8  8.9  9.   9.1  9.2  9.3  9.4\r\n  9.5  9.6  9.7  9.8  9.9]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u00c9 importante usar o ARANGE, no lugar do RANGE, para gerar uma lista passivel de ser usada pela fun\u00e7\u00e3o;<\/p>\n<\/div>\n<\/div>\n
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In\u00a0[123]:<\/div>\n
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ypa=somapa(1,x,2)\r\nprint ypa<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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[  4.     4.41   4.84   5.29   5.76   6.25   6.76   7.29   7.84   8.41   9.\r\n   9.61  10.24  10.89  11.56  12.25  12.96  13.69  14.44  15.21  16.    16.81\r\n  17.64  18.49  19.36  20.25  21.16  22.09  23.04  24.01  25.    26.01\r\n  27.04  28.09  29.16  30.25  31.36  32.49  33.64  34.81  36.    37.21\r\n  38.44  39.69  40.96  42.25  43.56  44.89  46.24  47.61  49.    50.41\r\n  51.84  53.29  54.76  56.25  57.76  59.29  60.84  62.41  64.    65.61\r\n  67.24  68.89  70.56  72.25  73.96  75.69  77.44  79.21  81.    82.81\r\n  84.64  86.49  88.36  90.25  92.16  94.09  96.04  98.01]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[124]:<\/div>\n
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ypg=somapg(1,x,2)\r\nprint ypg<\/pre>\n<\/div>\n
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[   3.            3.28709385    3.59479342    3.92457765    4.27803164\r\n    4.65685425    5.06286627    5.49801917    5.96440451    6.46426393\r\n    7.            7.5741877     8.18958684    8.84915531    9.55606329\r\n   10.3137085    11.12573253   11.99603834   12.92880901   13.92852786\r\n   15.           16.1483754    17.37917368   18.69831061   20.11212657\r\n   21.627417     23.25146506   24.99207668   26.85761803   28.85705573\r\n   31.           33.2967508    35.75834736   38.39662123   41.22425314\r\n   44.254834     47.50293013   50.98415337   54.71523605   58.71411146\r\n   63.           67.5935016    72.51669472   77.79324245   83.44850629\r\n   89.50966799   96.00586026  102.96830673  110.4304721   118.42822292\r\n  127.          136.1870032   146.03338944  156.58648491  167.89701258\r\n  180.01933598  193.01172051  206.93661347  221.8609442   237.85644583\r\n  255.          273.37400641  293.06677888  314.17296982  336.79402516\r\n  361.03867197  387.02344103  414.87322693  444.72188841  476.71289167\r\n  511.          547.74801282  587.13355776  629.34593963  674.58805032\r\n  723.07734394  775.04688205  830.74645387  890.44377682  954.42578333]<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[125]:<\/div>\n
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plt.plot(x,ypa,x,ypg)<\/pre>\n<\/div>\n
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Out[125]:<\/div>\n
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[<matplotlib.lines.Line2D at 0x44ba790>,\r\n <matplotlib.lines.Line2D at 0x44ba610>]<\/pre>\n<\/div>\n<\/div>\n
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In\u00a0[134]:<\/div>\n
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plt.plot(x,ypa,x,ypg)\r\nplt.xlabel('Numero de Termos') # Abaixo inserimos os nomes dos eixos\r\nplt.ylabel('Soma dos termos')\r\nplt.title('Evolucao da soma da PA e PG') # Isso acrescenta o t\u00edtulo (sem acentos por hora)!\r\nplt.show() # Isso mostra<\/pre>\n<\/div>\n
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In\u00a0[167]:<\/div>\n
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plt.plot(x,ypa,x,ypg)\r\nplt.xlabel('Numero de Termos') # Abaixo inserimos os nomes dos eixos\r\nplt.ylabel('Soma dos termos')\r\nplt.title('Evolucao da soma da PA e PG') # Isso acrescenta o t\u00edtulo (sem acentos por hora)!\r\nplt.legend([\"PA\", \"PG\"],loc=2) # Essa linha coloca a Legenda;\r\nplt.show() # Isso mostra<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Exerc\u00edcio 6 – Colocar acentos nos gr\u00e1ficos do matplotlib<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"
Primeiros Passos no IPython Notebook Disciplina “Computa\u00e7\u00e3o no Ensino de F\u00edsica” (CEF) da UFES\/Alegre Curso de Licenciatura em F\u00edsica – Turma 2013\/2 \u00a0Autoria : Prof. Ram\u00f3n Giostri Campos – 2014\/1.   Veremos abaixo como usar o IPython notebook como calculadora … Continue lendo →<\/span><\/a><\/p>\n","protected":false},"author":61,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"_uag_custom_page_level_css":"","footnotes":""},"categories":[4],"tags":[11,6,5],"class_list":["post-179","post","type-post","status-publish","format-standard","hentry","category-aulas","tag-aulas","tag-ipython","tag-python"],"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"post-thumbnail":false,"large-feature":false,"small-feature":false},"uagb_author_info":{"display_name":"Ramon Giostri Campos","author_link":"https:\/\/blog.ufes.br\/ramoncampos\/author\/ramon_giostri-campos\/"},"uagb_comment_info":0,"uagb_excerpt":"Primeiros Passos no IPython Notebook Disciplina “Computa\u00e7\u00e3o no Ensino de F\u00edsica” (CEF) da UFES\/Alegre Curso de Licenciatura em F\u00edsica – Turma 2013\/2 \u00a0Autoria : Prof. Ram\u00f3n Giostri Campos – 2014\/1.   Veremos abaixo como usar o IPython notebook como calculadora … Continue lendo →","_links":{"self":[{"href":"https:\/\/blog.ufes.br\/ramoncampos\/wp-json\/wp\/v2\/posts\/179","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.ufes.br\/ramoncampos\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.ufes.br\/ramoncampos\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.ufes.br\/ramoncampos\/wp-json\/wp\/v2\/users\/61"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.ufes.br\/ramoncampos\/wp-json\/wp\/v2\/comments?post=179"}],"version-history":[{"count":5,"href":"https:\/\/blog.ufes.br\/ramoncampos\/wp-json\/wp\/v2\/posts\/179\/revisions"}],"predecessor-version":[{"id":186,"href":"https:\/\/blog.ufes.br\/ramoncampos\/wp-json\/wp\/v2\/posts\/179\/revisions\/186"}],"wp:attachment":[{"href":"https:\/\/blog.ufes.br\/ramoncampos\/wp-json\/wp\/v2\/media?parent=179"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.ufes.br\/ramoncampos\/wp-json\/wp\/v2\/categories?post=179"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.ufes.br\/ramoncampos\/wp-json\/wp\/v2\/tags?post=179"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}