1-COMANDOS-BASICOS-MATEMATICA-BASICA-EXE.ipynb

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   "source": [
    "# COMANDOS BÁSICOS E MATEMÁTICA BÁSICA \n",
    "## Como usar o os comandos da linguagem Julia\n",
    "\n",
    "Os comandos da linguagem Julia são muito parecidos com os comandos do MatLab, porém, não há a necessidade de terminar um comando com o \" ; \". Vejamos alguns pontos interessantes:\n",
    "\n",
    "- Ponto e virgula ao final do comando oculta o resultado;\n",
    "- Não há a necessidade de vetorizar uma variável do tipo vetor ou matriz*\n",
    "- Comentários são na forma de `#`\n",
    "- Todos os pacotes são escritos usando a primeira letra maiúscula entre aspas duplas;\n",
    "- Julia é \"Case-Sensitive\" F e f são diferentes;\n",
    "- Funções e comandos de controle de fluxo (`if, for, while...`) necessita de `end` para terminar o comando;\n",
    "- Macros são iniciados por `@nome_macro`"
   ]
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   },
   "source": [
    "## Comandos preliminares"
   ]
  },
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   "outputs": [],
   "source": [
    "#Informações sobre o computador e linguagem\n"
   ]
  },
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   "execution_count": 9,
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     "id": "b0d0e2ea-2e77-4166-8a97-28307dd6a7d5"
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   "outputs": [],
   "source": [
    "# Ajuda "
   ]
  },
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   "execution_count": 7,
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     "id": "4f5c3116-8dc2-4877-bf36-89fe30f84e3a"
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   },
   "outputs": [],
   "source": [
    "# Número de cores do processador \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# resumo dos cores\n"
   ]
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     "id": "1dbe814c-1e35-45f6-a9e7-8c2842c56258"
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   },
   "source": [
    "## Matemática Básica"
   ]
  },
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     "id": "144402f7-b43c-41cd-8cb7-6035fb8bd917"
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   },
   "source": [
    "**Cálculos Simples**"
   ]
  },
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   "source": [
    "# matematica simples (adicao, muliplicacao, divisao , potenciacao, radiciação)*\n"
   ]
  },
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   "outputs": [],
   "source": [
    "# potencia de 10 1e-2\n",
    "                    "
   ]
  },
  {
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   "execution_count": 28,
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     "id": "e120458b-a85c-43c7-b9db-65fc0aa7ea95"
    }
   },
   "outputs": [],
   "source": [
    "# exponencial e^3\n"
   ]
  },
  {
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   "execution_count": 7,
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     "id": "d9c8acae-f772-4e99-a3e9-4976de8f6c3f"
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   },
   "outputs": [],
   "source": [
    "# expressoes numericas \n"
   ]
  },
  {
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   "execution_count": 49,
   "metadata": {
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     "id": "a85d5052-c3a7-4e5c-94ae-d494216c4845"
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   },
   "outputs": [],
   "source": [
    "# MDC lcm\n"
   ]
  },
  {
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   "execution_count": 33,
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     "id": "0e906205-ea57-4549-9a9a-e6f835147244"
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   "outputs": [],
   "source": [
    "# MMC gcm\n"
   ]
  },
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   "execution_count": 11,
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   "outputs": [],
   "source": [
    "# se usado o ponto e virgula, só será impresso a ultimo cálculo\n"
   ]
  },
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     "id": "51687f2f-ad93-45c4-b7da-5f55ed11b51c"
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   },
   "source": [
    "**Cálculo trigonometrico/Hiperbólico**\n",
    "\n",
    "sin(x)    cos(x)    tan(x)    cot(x)    sec(x)    csc(x)  sinh(x)   cosh(x)   tanh(x)   coth(x)   sech(x)   csch(x)\n",
    "\n",
    "\n",
    "asin(x)   acos(x)   atan(x)   acot(x)   asec(x)   acsc(x)  acoth(x)  asech(x)  acsch(x)  sinc(x)   cosc(x)   atan2(x)"
   ]
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     "id": "303976cc-0202-4d1a-bc2a-0032d177ca29"
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   "outputs": [],
   "source": [
    "# radiandos\n"
   ]
  },
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     "id": "e60ee2cd-d7aa-4c43-88d8-cb522b33c9fc"
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   "outputs": [],
   "source": [
    "# Para o angulo em grau (º), acrescenta-se o \"d\"\n"
   ]
  },
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   "metadata": {
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     "id": "d680f466-a2d9-4c75-9943-e28bbe8c7ca6"
    }
   },
   "source": [
    "**Cálculo Angular**"
   ]
  },
  {
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   "execution_count": 37,
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     "id": "bab12e58-6388-476b-a094-496933c65ee1"
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   "outputs": [],
   "source": [
    "# Converte x de graus to radianos deg2rad(angulo)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
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     "id": "d7296799-c578-43ea-9649-db72a5e65a62"
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   "outputs": [],
   "source": [
    "# Converte x de radianos para graus rad2deg(radianos)\n"
   ]
  },
  {
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     "id": "97232a45-f4db-4548-acfa-ee8b6e122ccb"
    }
   },
   "source": [
    "**Cálculo Exponencial/Logaritmo**"
   ]
  },
  {
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   "execution_count": 40,
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     "id": "88ea95a2-28db-4427-8a49-b136b519891f"
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   "outputs": [],
   "source": [
    "# Função exponencial natural em x: exp(numero)\n"
   ]
  },
  {
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   "execution_count": 17,
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     "id": "f745faa3-da2a-4f43-b065-a32d96c0841b"
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   "outputs": [],
   "source": [
    "# base b logaritmo de x  log(base,numero)\n"
   ]
  },
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   "execution_count": 18,
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     "id": "727e9375-ed08-464a-b1a1-709871c41793"
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   },
   "outputs": [],
   "source": [
    "# logaritmo de base 2  log2(numero)\n"
   ]
  },
  {
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   "execution_count": 19,
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     "id": "7b280659-f632-4e31-8ee3-30325acd7a20"
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   "outputs": [],
   "source": [
    "# logaritmo de base 10 log10(numero)\n"
   ]
  },
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     "id": "0200c5fc-bfca-439e-817f-fc6879931c3a"
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   },
   "source": [
    "**Binario/Octal/Hexadecimal**"
   ]
  },
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   "source": [
    "### Resumo Principais Comandos de matemática"
   ]
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   "source": [
    "<table align=\"left\">\n",
    "<tbody>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">round (x) - arredonda para o número inteiro mais próximo.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">iround (x) - arredonda para o número inteiro mais próximo, dando um resultado inteiro.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">floor (x) - arredonda direção -Inf.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">ifloor (x) - arredonda direção -Inf, dando um resultado inteiro.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">ceil (x) - arredonda direção + Inf.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">iceil (x) - arredonda direção + Inf, dando um resultado inteiro.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">trunc (x) - arredonda para zero.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">itrunc (x) - arredonda para zero, dando um resultado inteiro.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">div (x, y) - truncado divisão; quociente truncado.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">fld (x, y) - divisão de base; quociente arredondado em direção -Inf.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">rem (x, y) - resto; satisfaz x == div (x, y) + y rem (x, y), o que implica que corresponde ao sinal de x.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">mod (x, y) - módulo; satisfaz x == fld (x, y) + y mod (x, y), o que implica que o sinal corresponde y.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">gcd (x, y ...) - máximo divisor comum de x, y ... com correspondência sinal x.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">lcm (x, y ...) - mínimo múltiplo comum de x, y ... com correspondência sinal x.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">ABS (X) - um valor positivo com a magnitude de x.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">Abs2 (X) - a magnitude quadrada de x.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">sinal (X) - indica o sinal de x, retornando -1, 0, ou 1.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">signbit (x) - indica se o bit de sinal está ligado (1) ou desligado (0).</td>\n",
    "</tr>\n",
    "</tbody>\n",
    "</table>\n",
    "\n",
    "<table align=\"left\">\n",
    "<tbody>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">copysign (x, y) - um valor com a magnitude de x e o sinal do y.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">flipsign (x, y) - um valor com a magnitude de X e o sinal de x*y.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">sqrt (X) - a raiz quadrada de x.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">cbrt (x) - a raiz cúbica de x.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">hypot (x, y) - sqrt (x + y ^ 2 ^ 2) para todos os valores de x e y.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">exp (x) - a função exponencial natural em x.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">expm1 (X) - exp (x) -1 x para proximo zero.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">ldexp (x, n) - x * 2 ^ n calculado de forma eficiente para valores inteiros de n.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">log (x) - o logaritmo natural de x.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">log (b, x) - a base b logaritmo de x.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">log2 (x) - o logaritmo de base 2 x.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">log10 (x) - o logaritmo de base 10 de x.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">log1p (X) - registo preciso (1 + x) x para proximo de zero.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">logb (x) - retorna o expoente binário de x.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">erf (x) - a função de erro em x.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">ERFC (x) - 1-erf (x) para x.</td>\n",
    "</tr>\n",
    "<tr class=\"odd\">\n",
    "<td style=\"text-align: left;\">gama (X) - a função gama em x.</td>\n",
    "</tr>\n",
    "<tr class=\"even\">\n",
    "<td style=\"text-align: left;\">lgamma (X) - log (gama (x)), de maior x.</td>\n",
    "</tr>\n",
    "</tbody>\n",
    "</table>\n",
    "\n"
   ]
  },
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   "metadata": {
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     "id": "001a70ba-d091-449a-8e42-34efa43c5f22"
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   },
   "source": [
    "## Memória Células"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
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     "id": "dfea0653-1a2c-4024-bc31-72ddd42872c9"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# expressão\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "nbpresent": {
     "id": "f7172759-5ea9-4217-86fb-0579c3e720fc"
    }
   },
   "outputs": [],
   "source": [
    "# calculo anterior ans\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "nbpresent": {
     "id": "aedaf9cf-db1a-438c-8e09-e5a824c3c6e3"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# Out[numero da celula que deseja recuperar a saída]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "nbpresent": {
     "id": "7f7703fb-ae56-443f-9d5c-d68730c2dd38"
    }
   },
   "outputs": [],
   "source": [
    "# In[numero da celula que deseja recuperar a entrada]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "nbpresent": {
     "id": "d131b267-f4e2-423a-80a1-57a26cfd82e7"
    }
   },
   "source": [
    "**Historico dos Comandos**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "nbpresent": {
     "id": "32426dd6-70d0-4af1-952b-3f2bcfa4f40b"
    },
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "# mostra todos os comandos de entrada In\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "nbpresent": {
     "id": "77c70a33-8906-4788-b6e9-74f6636ebe10"
    }
   },
   "outputs": [],
   "source": [
    "# mostra todos os comandos de saída Out\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "nbpresent": {
     "id": "6d41a7a9-e5de-43ed-b85b-bd455fcad975"
    }
   },
   "source": [
    "## Calcular o tempo de processamento"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "nbpresent": {
     "id": "28aefe72-39ba-41e5-980c-7807f12a1142"
    }
   },
   "source": [
    "**Comando @time**\n",
    "\n",
    "Uma macro para executar uma expressão, imprimindo o tempo que levou para executar, o número de alocações, e o número total de bytes de sua execução."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
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     "id": "48b09064-a186-46aa-bde8-a2f32e09e1e1"
    },
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "# Tempo calculo expressao\n"
   ]
  },
  {
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   "metadata": {
    "nbpresent": {
     "id": "6c6a178f-367b-4766-af71-de01fbd8edad"
    }
   },
   "source": [
    "**Comando @elapsed **\n",
    "\n",
    "Somente o tempo de processamento"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "nbpresent": {
     "id": "6fdfb003-14e0-40ee-8e77-5ce3584367d0"
    },
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "# Tempo calculo expressao\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "nbpresent": {
     "id": "6b96ffe7-059b-4786-8d1c-76c61c9e1ae4"
    }
   },
   "source": [
    "## Precisão de numeros significativos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
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     "id": "06570997-e8b5-412e-b616-85a2b48022c6"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# numero PI com oito numeros após a virgura round(expressao, quantidade_numeros) arredondado\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
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     "id": "4b9e8991-da80-4f13-8b55-6a5fc2e45479"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# truncamento sem arredondamento trunc(numero, quantidade_numeros)\n"
   ]
  },
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    "## Comandos de impressão"
   ]
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    "**Comando print**\n",
    "\n",
    "Escreve na tela uma representação textual ou um valor se houver. A representação usada pelo comando inclui formatação mínima."
   ]
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    "# expressao\n"
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    "**Comando display**\n",
    "\n",
    "Usa o nível superior de exibição aplicável na pilha de exibição, geralmente usando a mais rica produção multimedia com suporte para x"
   ]
  },
  {
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    "# expressao\n"
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    "**Comando @show**\n",
    "\n",
    "Mostra a expressão e o resultado"
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  {
   "cell_type": "code",
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     "id": "3738885c-38c8-49b0-af34-76e9376f7ac0"
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   "source": [
    "# expressao\n"
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