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       "\n",
       "\n",
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       "\n",
       "\n",
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      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from Programas.Cap1 import *\n",
    "from IPython.core.display import HTML\n",
    "css_file = 'Varios/estilo1.css'\n",
    "HTML(open(css_file, \"r\").read())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Índice\n",
    "\n",
    "1. [Números complejos y el plano complejo](#1.-Números-complejos-y-el-plano-complejo)\n",
    "  - 1.1 [Operaciones con parejas ordenadas](#1.1-Operaciones-con-parejas-ordenadas)\n",
    "    - 1.1.1 [Conjugación, Inverso multiplicativo e Inverso aditivo](#1.1.1-Conjugación,-Inverso-multiplicativo-e-Inverso-aditivo)\n",
    "    - 1.1.2 [Suma y Resta](#1.1.2-Suma-y-Resta)\n",
    "    - 1.1.3 [Producto y División](#1.1.3--Producto-y-División)\n",
    "  - 1.2 [Campo de los números complejos $\\mathbb{C}$](#1.2-Campo-de-los-números-complejos-$\\mathbb{C}$)\n",
    "    - 1.2.1 [$\\mathbb{C}$ como grupo beliano aditivo](#1.2.1--$\\mathbb{C}$-como-grupo-abeliano-aditivo)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Números complejos y el plano complejo\n",
    "\n",
    "\n",
    "<p>\n",
    "El objetivo principal es tomar un conjunto de parejas ordenadas de números reales $\\mathbb{R}^2$ y definir dos operaciones en este conjunto, a una de estas operaciones la llamaremos suma $(+)$ y a la otra producto $(*)$. La estructura $(\\mathbb{R}^2,+,*)$ recibirá el nombre de campo de los números complejos. El campo de los numeros complejos tiene propiedades similares a los numeros reales $\\mathbb{R}$ además presenta nuevas porpiedades que presisamente lo hacen importante. Observaremos que se pueden hacer unos ajustes de notación de tal manera que a las parejas de números reales les podemos asignar un elemento en fomra de suma, es decir, $(a,b)\\leftrightarrow a+bi$, tendremos la misma estructura algebraica pero con diferentes simbolos, así podremos escribir a el campo de los numeros complejos como la estructura $(\\mathbb{C},+,*)$ donde $\\mathbb{C}=\\left\\lbrace a+bi: a,b\\in\\mathbb{R}\\right\\rbrace$, una vez que se defina el producto y se realizen las observaciones correspondientes será natural observar que $i^2=-1$.\n",
    "</p>\n",
    "\n",
    "## 1.1 Operaciones con parejas ordenadas\n",
    "\n",
    "<p>\n",
    "Tomemos el producto cartesiano $\\mathbb{R}^2=\\mathbb{R}\\times\\mathbb{R}=\\left\\lbrace(a,b): a,b\\in\\mathbb R\\right\\rbrace$, un elemento que pertenezca a este conjunto podría ser $z\\in\\mathbb{R}^2$ con $z=(6.6,-8.6)$. Recordemos que $(a,b)\\neq (b,a)$ por ejemplo $(6.6,-8.6)\\neq (-8.6,6.6)$ de aquí reciben el nombre de parejas ordenadas, recordemos también que $(a,b)=(c,d)$ si y sólo si $a=c$ y $b=d$.\n",
    "</p>\n",
    "\n",
    "<div class=\"polaroid\">\n",
    "   <img src=\"./Varios/nc.svg\" alt=\"Pareja\">\n",
    "  <div class=\"despolaroid\">\n",
    "    <p>Representación geometrica de una pareja ordenada</p>\n",
    "  </div>\n",
    "</div>\n",
    "\n",
    " \n",
    "\n",
    "<p>\n",
    "Como se sabe se puede asignar una representación geometrica en un plano al conjunto antes definido, la convención es asociar la primer componente (de izquierda a derecha) al eje horizontal y la segunda componente al eje vertical y dibujar en la intersección dada, ya sea un punto, un segmento de linea recta desde el origen, o ambos; depende a que se quiera hacer referencia. \n",
    "</p>\n",
    "\n",
    "\n",
    "##### Visualización\n",
    "\n",
    "<div class=\"visual\">\n",
    "<p>\n",
    "Para obervar la representación gráfica ejecute la siguiente celda con la instrucción\n",
    "</p>\n",
    "\n",
    "<pre>\n",
    " nc(6.6,-8.6)\n",
    "</pre>\n",
    "\n",
    "<p>\n",
    "Se gráfica el elemento correspondiente y se puede modificar al interactuar con la interfaz,\n",
    "</p>\n",
    "</div>\n",
    "\n"
   ]
  },
  {
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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b061f3d911a74eac9970e91145883ae4",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a5ac1ccb218d4e5aa1bebe1a87e86d43",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VGFiKGNoaWxkcmVuPShIQm94KGNoaWxkcmVuPShWQm94KGNoaWxkcmVuPShCb3goY2hpbGRyZW49KEZsb2F0U2xpZGVyKHZhbHVlPTcuNSwgY29udGludW91c191cGRhdGU9RmFsc2UsIGRlc2PigKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nc(6.6,-8.6)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "<p>\n",
    "Se definirán tres operaciones unarias que serán de importancia para definir al campo de los números complejos, en este caso $f$ será una operación unaria si es una función de tal manera que $f:\\mathbb{R}^2\\rightarrow\\mathbb{R}^2$, es decir, toma una pareja ordenada y regresa otra pareja ordenada.\n",
    "</p>\n",
    "\n",
    "### 1.1.1 Conjugación, Inverso multiplicativo e Inverso aditivo\n",
    "\n",
    "<div class='def'>\n",
    "<strong>Definición 1.1</strong> <em>[Conjugación]</em>\n",
    "<p>\n",
    " Sea $z=(a,b)\\in\\mathbb{R}^2$ la operación conjugación $f_c:\\mathbb{R}^2\\rightarrow\\mathbb{R}^2$ se define como \n",
    " $$f_c\\left(z\\right)=(a,-b)$$\n",
    " o utilizando una notación abreviada,\n",
    " $$\\bar z=(a,-b)$$\n",
    "</p>\n",
    "</div>\n",
    "\n",
    "<p>\n",
    "Tenemos dos notaciones para referirnos a la operación conjugación que usaremos de manera insdistinta, aunque la mayor parte de las veces usaremos la notación simplificada. Cabe mencionar que algunos autores utilizan un asterisco para la notación simplificada, esto es, $\\bar z\\equiv z^*$. Podría parecer un poco rebuscado definir la notación de $f_c$ si contamos con la simplificada, pero para algunos conceptos es importante. \n",
    "</p>\n",
    "\n",
    "<p>\n",
    "Observemos que la operación conjugación toma una pareja de números reales y la <em>Transforma</em> en una nueva pareja donde la segunda componente cambia de signo.\n",
    "</p>\n",
    "\n",
    "<div class=\"polaroid\">\n",
    "   <img src=\"./Varios/ncconjugado.svg\" alt=\"Conjugado\">\n",
    "  <div class=\"despolaroid\">\n",
    "    <p>Una pareja ordenada y su conjugado</p>\n",
    "  </div>\n",
    "</div>\n",
    "\n",
    "\n",
    "<p>\n",
    "Por ejemplo:<br>\n",
    "</p>\n",
    "<p>\n",
    "Si $z=(3,0)$ entonces $\\bar z=(3,0)$, <br>\n",
    "\n",
    "Si $z=(-2.4,-9.8)$ entonces $f_c(z)=(-2.4,9.8)$, <br>\n",
    "\n",
    "Si $z=(0,5.7)$ entonces $\\bar z=(0,-5.7)$, <br>\n",
    "\n",
    "Si $z=(0,0)$ entonces $\\bar z=(0,0)$,\n",
    "</p>\n",
    "\n",
    "\n",
    "##### Visualización\n",
    "<div class=\"visual\">\n",
    "<p>\n",
    "Para obervar la representación gráfica ejecute la siguiente celda con la instrucción\n",
    "</p>\n",
    "<pre>\n",
    " ncconjugado(6.6,-8.6)\n",
    "</pre>\n",
    "<p>\n",
    "Se gráfica el elemento correspondiente y se puede modificar al interactuar con la interfaz,\n",
    "</p>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "15d23d76f6544121a214e59a71af468e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "34132e1aa53e45b9b98b54d8c847f6d2",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VGFiKGNoaWxkcmVuPShIQm94KGNoaWxkcmVuPShWQm94KGNoaWxkcmVuPShCb3goY2hpbGRyZW49KEZsb2F0U2xpZGVyKHZhbHVlPTcuNSwgY29udGludW91c191cGRhdGU9RmFsc2UsIGRlc2PigKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ncconjugado(6.6,-8.6)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>\n",
    "Observamos que la geometría del elemento conjugado es un reflexión sobre el eje horizontal del elemento \"original\", es decir, $z$ y $\\bar z$ son simétricos respecto al eje horizontal, si un elemento esta por arriba del eje horizontal su conjugado estará por debajo, de forma similar si esta por abajo su conjugado estará por arriba del eje horizontal, ¿Qué sucede con la geometria del conjugado de un elemento, si dicho elemento tiene gráfica sobre el eje horizontal?</p>\n",
    "\n",
    "\n",
    "<p>Ahora definimos la operación unaria inverso multiplicativo y al igual que la operación conjugado representa una transformación cuyo resultado es cambiar de signo al segundo elemento de la pareja y dividir cada elemento entre la suma de los cuadrados de las componentes, esto impone la restricción que el dominio de la operación no contenga el origen del plano (para no dividir entre cero)</p>\n",
    "\n",
    "\n",
    "<div class='def'>\n",
    "<strong>Definición 1.2</strong> <em>[Inverso multiplicativo]</em>\n",
    "<p>\n",
    " Sea $z=(a,b)\\in\\mathbb{R}^2-\\{(0,0)\\}$ la operación inverso aditivo $f_{ia}:\\mathbb{R}^2-\\{(0,0)\\} \\rightarrow\\mathbb{R}^2$ se define como \n",
    " $$f_{im}\\left(z\\right)=\\left(\\frac{a}{a^2+b^2},\\frac{-b}{a^2+b^2}\\right)$$\n",
    " o utilizando una notación abreviada,\n",
    " $$z^{-1}=\\frac{1}{z}=\\left(\\frac{a}{a^2+b^2},\\frac{-b}{a^2+b^2}\\right)$$\n",
    "</p>\n",
    "</div>\n",
    "<p>\n",
    "De igual manera tenemos dos notaciones para la operación inverso multiplicativo, la mayor parte de las veces utilizaremos la notación abreviada.\n",
    "</p>\n",
    "<div class=\"polaroid\">\n",
    "   <img src=\"./Varios/ncinversomul.svg\" alt=\"inverso multiplicativo\">\n",
    "  <div class=\"despolaroid\">\n",
    "    <p>Una pareja ordenada y su inverso multiplicativo</p>\n",
    "  </div>\n",
    "</div>\n",
    "\n",
    "\n",
    "<p>\n",
    "Por ejemplo:<br>\n",
    "</p>\n",
    "\n",
    "<p>\n",
    "Si $z=(7,0)$ entonces $z^{-1}=(\\frac{1}{7},0)$, <br>\n",
    "\n",
    "Si $z=(-6.4,-1.8)$ entonces $f_{im}(z)=(-0.14,0.04)$, <br>\n",
    "\n",
    "Si $z=(0,2.7)$ entonces $\\frac{1}{z}=(0,-0.37)$, <br>\n",
    "\n",
    "Si $z=(0,0)$ entonces $z^{-1}$ no esta definido, <br>\n",
    "\n",
    "Si $z=(1,2)$ entonces $\\frac{1}{z}=(0.2,-0.4)$, \n",
    "</p>\n",
    "\n",
    "\n",
    "##### Visualización\n",
    "\n",
    "<div class=\"visual\">\n",
    "<p>\n",
    "Para obervar la representación gráfica ejecute la siguiente celda con la instrucción\n",
    "</p>\n",
    "\n",
    "<pre>\n",
    " ncinversomul(1,2)\n",
    "</pre>\n",
    "\n",
    "<p>\n",
    "Se gráfica el elemento correspondiente y se puede modificar al interactuar con la interfaz,\n",
    "</p>\n",
    "</div>\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "82541a3278094e97bcd1228e429480f7",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "720dc8300efe4154a1f0ffd02a2d4583",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VGFiKGNoaWxkcmVuPShIQm94KGNoaWxkcmVuPShWQm94KGNoaWxkcmVuPShCb3goY2hpbGRyZW49KEZsb2F0U2xpZGVyKHZhbHVlPTcuNSwgY29udGludW91c191cGRhdGU9RmFsc2UsIGRlc2PigKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ncinversomul(1,4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "<p>Ahora definimos la operación unaria inverso aditivo y al igual que la operaciones anteriores representa una transformación cuyo resultado es cambiar de signo ambos elementos de la pareja, ademas el inverso aditivo resulta ser simetrico respecto al origen con la pareja original, en otras palabras, las ubicaciones geometricas de una pareja y de su inverso aditivo estarán en cuadrantes opuestos por el vertice</p>\n",
    "\n",
    "\n",
    "<div class='def'>\n",
    "<strong>Definición 1.2</strong> <em>[Inverso aditivo]</em>\n",
    "<p>\n",
    " Sea $z=(a,b)\\in\\mathbb{R}^2$ la operación inverso aditivo $f_{ia}:\\mathbb{R}^2\\rightarrow\\mathbb{R}^2$ se define como \n",
    " $$f_{ia}\\left(z\\right)=(-a,-b)$$\n",
    " o utilizando una notación abreviada,\n",
    " $$-z=(-a,-b)$$\n",
    "</p>\n",
    "</div>\n",
    "\n",
    "<p>De igual manera tenemos dos notaciones para la operación inverso aditivo, la mayor parte de las veces utilizaremos la notación abreviada.\n",
    "</p>\n",
    "<div class=\"polaroid\">\n",
    "   <img src=\"./Varios/ncinversoadi.svg\" alt=\"inverso aditivo\">\n",
    "  <div class=\"despolaroid\">\n",
    "    <p>Una pareja ordenada y su inverso aditivo</p>\n",
    "  </div>\n",
    "</div>\n",
    "\n",
    "\n",
    "<p>\n",
    "Por ejemplo:<br>\n",
    "</p>\n",
    "\n",
    "<p>\n",
    "Si $z=(-2.5,0)$ entonces $-z=(2.5,0)$, <br>\n",
    "\n",
    "Si $z=(2.4,3.5)$ entonces $f_{ia}(z)=(-2.4,-3.5)$, <br>\n",
    "\n",
    "Si $z=(0,5)$ entonces $- z=(0,-5)$, <br>\n",
    "\n",
    "Si $z=(0,0)$ entonces $-z=(0,0)$, <br>\n",
    "\n",
    "Si $z=(-1.5,2)$ entonces $-z=(1.5,-2)$, \n",
    "</p>\n",
    "\n",
    "\n",
    "##### Visualización\n",
    "\n",
    "<div class=\"visual\">\n",
    "<p>\n",
    "Para obervar la representación gráfica ejecute la siguiente celda con la instrucción\n",
    "</p>\n",
    "\n",
    "<pre>\n",
    " ncinversoadi(-1.5,2)\n",
    "</pre>\n",
    "\n",
    "<p>\n",
    "Se gráfica el elemento correspondiente y se puede modificar al interactuar con la interfaz,\n",
    "</p>\n",
    "</div>\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f8f34d69694e45f18abae3924c6dd7d5",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6f29ffe89b1249968b407a32ba37ef0e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VGFiKGNoaWxkcmVuPShIQm94KGNoaWxkcmVuPShWQm94KGNoaWxkcmVuPShCb3goY2hpbGRyZW49KEZsb2F0U2xpZGVyKHZhbHVlPTcuNSwgY29udGludW91c191cGRhdGU9RmFsc2UsIGRlc2PigKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ncinversoadi(-1.5,2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>\n",
    "Ahora se definirán dos operaciones binarias, en este caso $f$ será una operación binaria si es una función de tal manera que $f:\\mathbb{R}^2\\times\\mathbb{R}^2\\rightarrow\\mathbb{R}^2$, es decir, toma dos parejas ordenadas y regresa una pareja.\n",
    "</p>\n",
    "\n",
    "<div class='problemas'>\n",
    "<strong>Problemas</strong> \n",
    "<ol>\n",
    "<li><p>hola  </p> </li>\n",
    "</ol>\n",
    "</div>\n",
    "\n",
    "\n",
    "### 1.1.2 Suma y Resta\n",
    "<p>\n",
    "Recordemos que nuestro objetivo es definir el campo de los números complejos, las operaciones de conjugación, inverso multiplicativo y aditivo jugaran un papel importante al momento de hacer operaciones aritmeticas entre numeros complejós; pero la suma es una de las dos operaciones que definene la estructura algebraica a la cual queremos llegar.\n",
    "</p>\n",
    "<div class='def'>\n",
    "<strong>Definición 1.3</strong> <em>[Suma]</em>\n",
    "<p>\n",
    " Sean $z_1=(a,b)\\in\\mathbb{R}^2$ y $z_2=(c,d)\\in\\mathbb{R}^2$ la operación suma $f_s:\\mathbb{R}^2\\times\\mathbb{R}^2\\rightarrow\\mathbb{R}^2$ se define como \n",
    " $$f_s\\left(z_1,z_2\\right)=(a+c,b+d)$$\n",
    " o utilizando una notación abreviada,\n",
    " $$z_1+z_2=(a+c,b+d)$$\n",
    "</p>\n",
    "</div>\n",
    "\n",
    "<p>\n",
    "Estrictamente hablando cuando se utiliza la notación simplificada se tendría que especificar $z_1+_cz_2=(a+c,b+d)$ donde $+_c$ es el simbolo que se esta definiendo y $+$ es la suma que sabemos realizar de números relaes, para no cargar la notación preferimos escribir esta aclaración. Nuevamente tenemos dos notaciones, usualmente se estará trabajando con la notación simplificada. La operación suma toma dos parejas de números reales y las transforma en una solo pareja de números reales, donde cada componente es la suma  posición a posición de las parejas iniciales.\n",
    "</p>\n",
    "\n",
    "<div class=\"polaroid\">\n",
    "   <img src=\"./Varios/ncsuma.svg\" alt=\"suma\">\n",
    "  <div class=\"despolaroid\">\n",
    "    <p>Suma de parejas ordenadas</p>\n",
    "  </div>\n",
    "</div>\n",
    "\n",
    "\n",
    "<p>\n",
    "Por ejemplo:<br>\n",
    "</p>\n",
    "\n",
    "\n",
    "<p>\n",
    "Si $z_1=(1,0)$ y $z_2=(6.8,0)$ entonces $z_1+z_2=(7.8,0)$, <br>\n",
    "\n",
    "Si $z_1=(-6.4,-1.8)$ y $z_2=(1,-2)$ entonces $f_{s}(z_1,z_2)=(-5.4,-3.8)$, <br>\n",
    "\n",
    "Si $z_1=(0,3.7)$ y $z_2=(0,2.3)$ entonces $z_1+z_2=(0,6)$, <br>\n",
    "\n",
    "Si $z_1=(0,0)$ y $z_2=(0,0)$ entonces $z_1+z_2=(0,0)$, <br>\n",
    "\n",
    "Si $z_1=(-2,2)$ y $z_2=(4,2)$ entonces $z_1+z_2=(2,4)$,\n",
    "</p>\n",
    "\n",
    "<p>La suma tiene una interpretación interesante cuando se realiza de forma geometrica, se puede observar en la siguitente visualización que los sumandos son los lados de un paralelogramo y el resultado de la suma es es la diagonal de dicho paralelogramo </p>\n",
    "\n",
    "\n",
    "##### Visualización\n",
    "\n",
    "<div class=\"visual\">\n",
    "<p>\n",
    "Para obervar la representación gráfica ejecute la siguiente celda con la instrucción\n",
    "</p>\n",
    "\n",
    "<pre>\n",
    " ncsuma(-2,2,4,2)\n",
    "</pre>\n",
    "\n",
    "<p>\n",
    "Se gráfica el elemento correspondiente y se puede modificar al interactuar con la interfaz,\n",
    "</p>\n",
    "</div>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5b78490f53664798b2317aeedce3e39c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "85f583a7f85d431594fb0d0c8ae88888",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VGFiKGNoaWxkcmVuPShIQm94KGNoaWxkcmVuPShWQm94KGNoaWxkcmVuPShCb3goY2hpbGRyZW49KEZsb2F0VGV4dCh2YWx1ZT0tMi4wLCBkZXNjcmlwdGlvbj11J1xcKGFcXCknLCBzdGVwPTDigKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ncsuma(-2,2,4,2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>Ahora se definira la resta y observaremos que es una consecuencia del inverso aditivo y la suma </p>\n",
    "\n",
    "<div class='def'>\n",
    "<strong>Definición 1.3</strong> <em>[Resta]</em>\n",
    "<p>\n",
    " Sean $z_1=(a,b)\\in\\mathbb{R}^2$ y $z_2=(c,d)\\in\\mathbb{R}^2$ la operación resta $f_r:\\mathbb{R}^2\\times\\mathbb{R}^2\\rightarrow\\mathbb{R}^2$ se define como \n",
    " $$f_r\\left(z_1,z_2\\right)=(a-c,b-c)$$\n",
    " o utilizando una notación abreviada,\n",
    " $$z_1-z_2=(a-c,b-d)$$\n",
    "</p>\n",
    "</div>\n",
    "\n",
    "<p>Observemos lo siguiente</p>\n",
    "\n",
    "\\begin{equation}\n",
    "f_r\\left(z_1,z_2\\right)=f_s(z_1,f_{ia}(z_2))\n",
    "\\end{equation}\n",
    "\n",
    "<p>en términos de la notación simplificada</p>\n",
    "\n",
    "\\begin{equation}\n",
    "z_1-z_2=z_1+(-z_2)\n",
    "\\end{equation}\n",
    "\n",
    "<p>En palabras: <u><big><em>La resta de parejas ordenadas $z_1,\\,z_2$ es la suma de $z_1$ con el inverso aditivo $z_2$ </em></big></u></p>\n",
    "\n",
    "<p>Es decir, la resta no es una \"nueva\" operación, es una operación especifica de una operación unaria y otra binaria que ya se han definido. </p>\n",
    "\n",
    "\n",
    "<div class=\"polaroid\">\n",
    "   <img src=\"./Varios/ncresta.svg\" alt=\"resta\">\n",
    "  <div class=\"despolaroid\">\n",
    "    <p>Resta de parejas ordenadas</p>\n",
    "  </div>\n",
    "</div>\n",
    "\n",
    "\n",
    "<p>\n",
    "Por ejemplo:<br>\n",
    "</p>\n",
    "\n",
    "\n",
    "<p>\n",
    "Si $z_1=(-2,0)$ y $z_2=(5.1,0)$ entonces $z_1-z_2=(-7.1,0)$, <br>\n",
    "\n",
    "Si $z_1=(-2.4,-2.2)$ y $z_2=(2,-1.5)$ entonces $f_{r}(z_1,z_2)=(-4.4,-0.7)$, <br>\n",
    "\n",
    "Si $z_1=(0,2.5)$ y $z_2=(0,2.3)$ entonces $z_1-z_2=(0,-0.2)$, <br>\n",
    "\n",
    "Si $z_1=(0,0)$ y $z_2=(0,0)$ entonces $z_1-z_2=(0,0)$, <br>\n",
    "\n",
    "Si $z_1=(-2,2)$ y $z_2=(4,2)$ entonces $z_1-z_2=(-6,0)$,\n",
    "</p>\n",
    "\n",
    "<p>Se puede obseervar en la siguinete visualzación que la resta $z_1-z_2$ es la suma de $z_1$ con el inverso aditivo de $z_2$ </p>\n",
    "\n",
    "\n",
    "##### Visualización\n",
    "\n",
    "<div class=\"visual\">\n",
    "<p>\n",
    "Para obervar la representación gráfica ejecute la siguiente celda con la instrucción\n",
    "</p>\n",
    "\n",
    "<pre>\n",
    " ncresta(-2,2,4,2)\n",
    "</pre>\n",
    "\n",
    "<p>\n",
    "Se gráfica el elemento correspondiente y se puede modificar al interactuar con la interfaz,\n",
    "</p>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "45b2167574af45f58de51c4a739ba948",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "10def95e669c43cdbad2c76e5d2c67b0",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VGFiKGNoaWxkcmVuPShIQm94KGNoaWxkcmVuPShWQm94KGNoaWxkcmVuPShCb3goY2hpbGRyZW49KEZsb2F0VGV4dCh2YWx1ZT0tMi4wLCBkZXNjcmlwdGlvbj11J1xcKGFcXCknLCBzdGVwPTDigKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ncresta(-2,2,4,2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "<div class='problemas'>\n",
    "<strong>Problemas</strong> \n",
    "</div>\n",
    "\n",
    "\n",
    "### 1.1.3  Producto y División\n",
    "<p>\n",
    "Ahora se definirá la operación producto y posteriormente podremos definir al campo de los números compejos \n",
    "</p>\n",
    "<div class='def'>\n",
    "<strong>Definición 1.3</strong> <em>[Producto]</em>\n",
    "<p>\n",
    " Sean $z_1=(a,b)\\in\\mathbb{R}^2$ y $z_2=(c,d)\\in\\mathbb{R}^2$ la operación producto $f_p:\\mathbb{R}^2\\times\\mathbb{R}^2\\rightarrow\\mathbb{R}^2$ se define como \n",
    " $$f_p\\left(z_1,z_2\\right)=(ac-bd,ad+bc)$$\n",
    " o utilizando una notación abreviada,\n",
    " $$z_1z_2=(ac-bd,ad+bc)$$\n",
    "</p>\n",
    "</div>\n",
    "\n",
    "<p>\n",
    "Las operaciones realizadas dentro de las componentes son las operaciones que ya conocemos de los numeros reales. Nuevamente tenemos dos notaciones, usualmente se estará trabajando con la notación simplificada y dependiendo de las circunstancias se podría escribir cualquiera de las siguientes notaciones $z_1z_2$, $(z_1)(z_2)$, $z_1*z_2$ . La operación multiplicación toma dos parejas de números reales y las transforma en una solo pareja de números reales. El resultado de la multiplicación tiene una interpretación geometrica que se discutira más adelante.\n",
    "</p>\n",
    "\n",
    "<div class=\"polaroid\">\n",
    "   <img src=\"./Varios/ncproducto.svg\" alt=\"producto\">\n",
    "  <div class=\"despolaroid\">\n",
    "    <p>Producto de parejas ordenadas</p>\n",
    "  </div>\n",
    "</div>\n",
    "\n",
    "\n",
    "<p>\n",
    "Por ejemplo:<br>\n",
    "</p>\n",
    "\n",
    "\n",
    "<p>\n",
    "Si $z_1=(-1,0)$ y $z_2=(2.8,0)$ entonces $z_1z_2=(-2.8,0)$, <br>\n",
    "\n",
    "Si $z_1=(1,1)$ y $z_2=(-3,2)$ entonces $f_{p}(z_1,z_2)=(-5,-1)$, <br>\n",
    "\n",
    "Si $z_1=(0,7)$ y $z_2=(0,2)$ entonces $z_1z_2=(-14,0)$, <br>\n",
    "\n",
    "Si $z_1=(0,0)$ y $z_2=(0,0)$ entonces $z_1z_2=(0,0)$, <br>\n",
    "\n",
    "Si $z_1=(3,1)$ y $z_2=(4,2)$ entonces $z_1z_2=(10,10)$,\n",
    "</p>\n",
    "\n",
    "\n",
    "##### Visualización\n",
    "\n",
    "<div class=\"visual\">\n",
    "<p>\n",
    "Para obervar la representación gráfica ejecute la siguiente celda con la instrucción\n",
    "</p>\n",
    "\n",
    "<pre>\n",
    " ncproducto(1,1,-3,2)\n",
    "</pre>\n",
    "\n",
    "<p>\n",
    "Se gráfica el elemento correspondiente y se puede modificar al interactuar con la interfaz,\n",
    "</p>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1d491fd094764ea9b00b6ed401bc8c1b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "db791b80b6e14663b69b74d83623d377",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VGFiKGNoaWxkcmVuPShIQm94KGNoaWxkcmVuPShWQm94KGNoaWxkcmVuPShCb3goY2hpbGRyZW49KEZsb2F0VGV4dCh2YWx1ZT0xLjAsIGRlc2NyaXB0aW9uPXUnXFwoYVxcKScsIHN0ZXA9MC7igKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    " ncproducto(1,1,-3,2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>De manera analoga a la resta, la división es una consecuencia del inverso multiplicativo y el producto </p>\n",
    "\n",
    "<div class='def'>\n",
    "<strong>Definición 1.3</strong> <em>[División]</em>\n",
    "<p>\n",
    " Sean $z_1=(a,b)\\in\\mathbb{R}^2$ y $z_2=(c,d)\\in\\mathbb{R}^2-\\{(0,0)\\}$ la operación división $f_d:\\mathbb{R}^2\\times\\mathbb{R}^2-\\{(0,0)\\}\\rightarrow\\mathbb{R}^2$ se define como \n",
    " $$f_d\\left(z_1,z_2\\right)=f_p(z_1,f_{im}(z_2))$$\n",
    " o utilizando una notación abreviada,\n",
    " $$\\frac{z_1}{z_2}=z_1*\\frac{1}{z_2}=z_1z_2^{-1}$$\n",
    "</p>\n",
    "</div>\n",
    "\n",
    "<p>En palabras: <u><big><em>La división de parejas ordenadas $z_1,\\,z_2$ es el producto de $z_1$ con el inverso multiplicativo de $z_2$ </em></big></u></p>\n",
    "\n",
    "<p>Es decir, la división no es una \"nueva\" operación, es una operación especifica de una operación unaria y otra binaria  que ya se han definido. Por consiguiente la división de $z_1$ entre $z_2$ no esta definida cuando $z_2=(0,0)$, pues el inverso multiplicativo de $(0,0)$ no esta definido. </p>\n",
    "\n",
    "\n",
    "<div class=\"polaroid\">\n",
    "   <img src=\"./Varios/ncdivision.svg\" alt=\"division\">\n",
    "  <div class=\"despolaroid\">\n",
    "    <p>División de parejas ordenadas</p>\n",
    "  </div>\n",
    "</div>\n",
    "\n",
    "\n",
    "<p>\n",
    "Por ejemplo:<br>\n",
    "</p>\n",
    "\n",
    "\n",
    "<p>\n",
    "Si $z_1=(2,0)$ y $z_2=(2.3,0)$ entonces $z_1/z_2=(0.87,0)$, <br>\n",
    "\n",
    "Si $z_1=(-3.4,-4.1)$ y $z_2=(2,-1)$ entonces $f_{d}(z_1,z_2)=(-0.54,-2.32)$, <br>\n",
    "\n",
    "Si $z_1=(0,0)$ y $z_2=(-5,2.3)$ entonces $z_1/z_2=(0,0)$, <br>\n",
    "\n",
    "Si $z_1=(0,0)$ y $z_2=(0,0)$ entonces $z_1/z_2$ no esta definido <br>\n",
    "\n",
    "Si $z_1=(-1,-2)$ y $z_2=(2,2)$ entonces $z_1z_2^{-1}=(-0.75,-0.25)$,\n",
    "</p>\n",
    "\n",
    "<p>La interpretación geometríca de la resta se discutira más adelante.</p>\n",
    "\n",
    "##### Visualización\n",
    "\n",
    "<div class=\"visual\">\n",
    "<p>\n",
    "Para obervar la representación gráfica ejecute la siguiente celda con la instrucción\n",
    "</p>\n",
    "\n",
    "<pre>\n",
    " ncdivision(-1,-2,2,2)\n",
    "</pre>\n",
    "\n",
    "<p>\n",
    "Se gráfica el elemento correspondiente y se puede modificar al interactuar con la interfaz,\n",
    "</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ea973976cdc14426bf60d3f145932eab",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dbdf66fa34ec441e9778a4ba4ef13f6a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VGFiKGNoaWxkcmVuPShIQm94KGNoaWxkcmVuPShWQm94KGNoaWxkcmVuPShCb3goY2hpbGRyZW49KEZsb2F0VGV4dCh2YWx1ZT0tMS4wLCBkZXNjcmlwdGlvbj11J1xcKGFcXCknLCBzdGVwPTDigKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ncdivision(-1,-2,2,2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>Problema</p>\n",
    "\n",
    "<div class='problemas'>\n",
    "<strong>Problemas</strong> \n",
    "<ol>\n",
    "<li><p> Encuentra una fórmula cerrada para definir la división $f_d(z_1,z_2)$, si $z_1=(a,b)$ y $z_2=(c,d)\\neq(0,0)$ </p> </li>\n",
    "</ol>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.2 Campo de los números complejos $\\mathbb{C}$\n",
    "\n",
    "<p>\n",
    "De acuerdo a la defición de suma de parejas ordenadas observemos que si $(a,b)\\in\\mathbb{R}^2$ se tiene que \n",
    "</p>\n",
    "\n",
    "$$(a,b)=(a,0)+(0,b)$$\n",
    "\n",
    "<p>Así toda pareja ordenada $(a,b)\\in\\mathbb{R}^2$ se puede ver como la suma de dos elementos \"especiales\" donde en cada uno de ellos una de sus componentes es cero, epecificacmente como la suma de $(a,0)\\in\\mathbb{R}^2$ con $(0,b)\\in\\mathbb{R}^2$. Entonces para estudiar a las parejas ordenas vamos a estudiar a estos dos \"elementos especiales\". Primero tomemos parejas ordenadas con la estructura $(a,0)\\in\\mathbb{R}^2$, estudiemos la forma que tiene su inverso aditivo, así como la suma y resta de elementos con esta estructura </p>\n",
    "\n",
    "<p>\n",
    "Sea $z_1=(a,0),\\, z_2=(c,0)\\in\\mathbb{R}^2$<br>\n",
    "\n",
    "<em>Inverso aditivo.</em> $-z_1=(-a,-0)=(-a,0)$<br>\n",
    "\n",
    "<em>Suma.</em> $z_1+z_2=(a,0)+(c,0)=(a+c,0)$<br>\n",
    "\n",
    "<em>Resta.</em> $z_1-z_2=(a,0)-(c,0)=(a-c,0)$<br>\n",
    "\n",
    "</p>\n",
    "\n",
    "<p>\n",
    "Si un elemento tiene la forma $(a,0)$ su inverso aditivo, la suma y la resta se comporta como la de los números reales en la primer componente. Así para las operaciones antes descritas motivamos un cambio de notación, si una pareja es de la forma $(a,0)\\in\\mathbb{R}^2$ hacemos la siguiente asignación</p>\n",
    "\n",
    "$$(a,0)\\mapsto a$$\n",
    "\n",
    "<p>\n",
    "Es decir, si en una pareja ordenada su segunda componente es cero, no hace falta indicar esa componente, por lo menos para las operaciones realizadas con elementos de la forma $(a,0)$. Con este cambio de notación surge un problema, pues escribir $z=a\\in\\mathbb{R}^2$ para indicar que $z$ es de la forma $z=(a,0)$ no parece indicado, por el momento escribimos $z=a\\in\\mathbb{C}$ para indicar que $z=(a,0)$, más adelante especificaremos quien es $\\mathbb{C}$. Así con la nueva notación tenemos \n",
    "\n",
    "<p>\n",
    "Sea $z_1=a,\\, z_2=c\\in\\mathbb{C}$<br>\n",
    "\n",
    "<em>Inverso aditivo.</em> $-z_1=-a$<br>\n",
    "\n",
    "<em>Suma.</em> $z_1+z_2=a+c$<br>\n",
    "\n",
    "<em>Resta.</em> $z_1-z_2=a-c$<br>\n",
    "\n",
    "</p>\n",
    "\n",
    "<p> Por lo menos la nueva notación es más simplificada y \"natural\". Ahora tomemos parejas ordenadas con la estructura $(0,b)\\in\\mathbb{R}^2$, estudiemos la forma que tiene su inverso aditivo, así como la suma y resta de elementos con esta estructura\n",
    "</p>\n",
    "\n",
    "<p>\n",
    "Sea $w_1=(0,b),\\, w_2=(0,d)\\in\\mathbb{R}^2$<br>\n",
    "\n",
    "<em>Inverso aditivo.</em> $-w_1=(-0,-b)=(0,-b)$<br>\n",
    "\n",
    "<em>Suma.</em> $w_1+w_2=(0,b)+(0,d)=(0,b+d)$<br>\n",
    "\n",
    "<em>Resta.</em> $w_1-w_2=(0,b)-(0,d)=(0,b-d)$<br>\n",
    "\n",
    "</p>\n",
    "\n",
    "\n",
    "<p>\n",
    "Si un elemento tiene la forma $(0,b)$ su inverso aditivo, la suma y la resta se comporta como la de los números reales en la segunda componente. Así para las operaciones antes descritas  motivamos un cambio de notación, este cambio de notación debe ser tal que se distinga del que ya se ha propuesto anteriormente pues ahora hablamos de elementos donde su primer compnente es cero. Si una pareja es de la forma $(0,\n",
    "b)\\in\\mathbb{R}^2$ entonces hacemos la siguiente asignación</p>\n",
    "\n",
    "$$(0,b)\\mapsto bi$$\n",
    "\n",
    "<p>\n",
    "Es decir, si en una pareja ordenada su primer componente es cero, no hace falta indicar esa componente, por lo menos para el inverso aditivo, la suma y la resta de elementos con la estructura descrita. Algunos autores (sobre todo en libros de ingeniería) utilizan $bj$ en lugar de $bi$, puede utilizr la notación que prefiera. Con este cambio de notación surge un problema, pues escribir $z=bi\\in\\mathbb{R}^2$ para indicar que $z$ es de la forma $z=(0,b)$ no parece indicado, por el momento escribimos $z=bi\\in\\mathbb{C}$ para indicar que $z=(0,bi)$, más adelante especificaremos quien es $\\mathbb{C}$. Así con la nueva notación tenemos   </p>\n",
    "\n",
    "<p>\n",
    "Sea $w_1=bi,\\, w_2=di\\in\\mathbb{C}$<br>\n",
    "\n",
    "<em>Inverso aditivo.</em> $-w_1=-bi$<br>\n",
    "\n",
    "<em>Suma.</em> $w_1+w_2=bi+di=(b+d)i$<br>\n",
    "\n",
    "<em>Resta.</em> $w_1-w_2=bi-di=(b-d)i$<br>\n",
    "\n",
    "</p>\n",
    "\n",
    "<p>\n",
    "Si se comparan los resultados anteriores con la notación de prejas ordenadas se observa que la $i$ funciona como un \"indicador\" de que las operaciones son sobre la segunda componente. \n",
    "</p>\n",
    "\n",
    "\n",
    "<p>Ahora como $(a,b)=(a,0)+(0,b)$, se tiene la siguiente asignación bidireccional</p>\n",
    "\n",
    "$$(a,b)\\leftrightarrow a+bi$$\n",
    "\n",
    "<p>\n",
    "La asiganción $(a,b)\\mapsto a+bi$ indica que la pareja ordenada $(a,b)$ se puede ver como el símbolo $a+bi$ y la signación $a+bi \\mapsto (a,b)$ indica que el símbolo $a+bi$ se puede ver como la pareja ordenada $(a,b)$ y así al símbolo $a+bi$ se le puede asignar una geométria. Presisamente $\\mathbb{C}$ contiene a todos los símbolos de la forma $a+bi$, definimos al conjunto $\\mathbb{C}$ como</p>\n",
    "\n",
    "$$\\mathbb{C}=\\left\\lbrace a+bi: a,b\\in\\mathbb{R}\\right\\rbrace$$\n",
    "\n",
    "### 1.2.1  $\\mathbb{C}$ como grupo abeliano aditivo\n",
    "\n",
    "<p>\n",
    "Por el momento $\\mathbb{C}$ solo es un conjunto de símbolos, pero como se ha mencionado la asignación $a+bi \\mapsto (a,b)$ permite definir una suma ($+$) de elementos en $\\mathbb{C}$, formalmente si tenemos $z_1=a+bi$ y $z_2=c+di$ hacemos las asignaciones $z_1=a+bi \\mapsto (a,b)$ y $z_2=c+di \\mapsto (c,d)$, sumamos los elementos $(a,b)+(c,d)=(a+c,b+d)$ y el resultado lo asignamos de la siguiente manera $(a+c,b+d)\\mapsto (a+c)+(b+d)i$, es decir, la suma en $\\mathbb{C}$ es la suma en $\\mathbb{R}^2$ \"disfrazada\" con otros símbolos. Todo lo que se ha desarrollado hasta el momento tiene la intensión de motivar una estructura matemática nueva en terminos de elementos que se suponen previamente conocidos, como aplicacio´n de funciones, parejas ordenadas, etc., pero sin mayor problema puden darse definiciones directas de las estrucutras, y verificar qeu tienen algunas porpiedades. A contonuación se tiene el sigueiente resultado, que carácteriza a el conjunto $\\mathbb{C}$ y su operación de suma ($+$) </p>\n",
    "\n",
    "\n",
    "<div class='def'>\n",
    "<p><strong>Proposición</strong> <em>[$\\mathbb{C}$ como grupo abeliano aditivo]</em></p>\n",
    "\n",
    "<p>\n",
    " Sean el conjunto $\\mathbb{C}=\\left\\lbrace a+bi: a,b\\in\\mathbb{R}\\right\\rbrace$, $z_1=a+bi,\\,z_2=c+di\\in\\mathbb{C}$ y la operación binaria $+:\\mathbb{C}+\\mathbb{C}\\rightarrow\\mathbb{C}$ definida como \n",
    "</p>\n",
    "\n",
    "\n",
    "$$z_1+z_2=(a+bi)+(c+di)=(a+c)+(b+d)i$$\n",
    " \n",
    "<p>\n",
    "Entonces se satisfacen las siguintes propiedades \n",
    "</p>\n",
    " \n",
    " <ul> \n",
    " <li><p> $\\forall z_1,\\,z_2\\in\\mathbb{C}$ <em>(Conmutatividad)</em></p>\n",
    " \n",
    " $$z_1+z_2=z_2+z_1$$\n",
    " \n",
    " </li>\n",
    " <li><p>$\\forall z_1,\\,z_2\\,z_3\\in\\mathbb{C}$ <em>(Asociatividad)</em></p>\n",
    " $$(z_1+z_2)+z_3=z_1+(z_2+z_3)$$\n",
    " </li>\n",
    " \n",
    " <li><p>Para $e=0\\in\\mathbb{C}$ y $\\forall z,\\in\\mathbb{C}$ <em>(Existencia neutro aditivo)</em></p>\n",
    " $$e+z=z+e=z$$\n",
    " </li>\n",
    " <li><p>$\\forall z=a+bi\\in\\mathbb{C}$ sea $z'=-a-bi$ <em>(Existencia inverso aditivo)</em></p>\n",
    " $$z+z'=z'+z=e=0$$</li>\n",
    "\n",
    " </ul>\n",
    " \n",
    "<p>\n",
    "Por satisfacer las propiedades anteriores la estructura $(\\mathbb{C},+)$ recibe el nombre de grupo abeliano aditivo. \n",
    "</p>\n",
    "</div>\n",
    "\n",
    "<p>Frecuecntemente en lugar de escribir $(\\mathbb{C},+)$ se escribe simplemente $\\mathbb{C}$ y decimos que es un grupo abeliano aditivo. Se puede definir la resta $z_1$ y $z_2$ de elementos en $\\mathbb{C}$ como  la suma de $z_1$ con el inverso aditivo de $z_2$, oequcvalentemente resras componente a componente, los siguientes ejemplos ilustran ejemplos de suma y resta</p>\n",
    "\n",
    "\n",
    "<p>\n",
    "Si $z_1=1$ y $z_2=6.8,$ entonces $z_1+z_2=7.8$, <br>\n",
    "\n",
    "Si $z_1=-6.4-1.8i$ y $z_2=1-2i$ entonces $z_1+z_2=-5.4-3.8i$, <br>\n",
    "\n",
    "Si $z_1=3.7i$ y $z_2=2.3i$ entonces $z_1+z_2=6i$, <br>\n",
    "\n",
    "Si $z_1=0$ y $z_2=0$ entonces $z_1+z_2=0$, <br>\n",
    "\n",
    "Si $z_1=-2+2i$ y $z_2=4+2i$ entonces $z_1+z_2=2+4i$<br>\n",
    "\n",
    "Si $z_1=-2$ y $z_2=5.1$ entonces $z_1-z_2=-7.1$, <br>\n",
    "\n",
    "Si $z_1=-2.4-2.2i$ y $z_2=2-1.5i$ entonces $z_1-z_2=-4.4-0.7i$, <br>\n",
    "\n",
    "Si $z_1=2.5i$ y $z_2=2.3i$ entonces $z_1-z_2=-0.2i$, <br>\n",
    "\n",
    "Si $z_1=0$ y $z_2=0$ entonces $z_1-z_2=0$, <br>\n",
    "\n",
    "Si $z_1=-2+2i$ y $z_2=4+2i$ entonces $z_1-z_2=-6$\n",
    "\n",
    "</p>\n",
    "\n",
    "\n",
    "\n",
    "<em>Producto.</em> $z_1z_2=(a,0)(c,0)=(ac-0(0),a(0)+(0)c)=(ac,0)$<br>\n",
    "\n",
    "<em>División.</em> $\\frac{z_1}{z_2}=\\frac{(a,0)}{(c,0)}=(a,0)(\\frac{1}{c},0)=(a(\\frac{1}{c})-0(0),a(0)+(0)\\frac{1}{c})=(\\frac{a}{c},0)$ con $c\\neq 0$\n",
    "</p>\n",
    "\n",
    "\n",
    "\n",
    "<em>Inverso multiplicativo.</em> $z_1^{-1}=(\\frac{a}{a^2+0^2},\\frac{-0}{a^2+0^2})=(\\frac{1}{a},0)$ con $a\\neq 0$<br>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2c7244cf5f3d42939990af2a3b1cbd93",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "72cfe05ad72e4acd8991ebe5f1e839d0",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VGFiKGNoaWxkcmVuPShIQm94KGNoaWxkcmVuPShWQm94KGNoaWxkcmVuPShCb3goY2hpbGRyZW49KEZsb2F0VGV4dCh2YWx1ZT0xLjAsIGRlc2NyaXB0aW9uPXUnXFwoXFxtYXRoYmJ7Un1lXFzigKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nuco()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "46dd37718e384caba1c28208e3389877",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "abedf20adad8444fbfafd9600c7b55ff",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VGFiKGNoaWxkcmVuPShIQm94KGNoaWxkcmVuPShWQm94KGNoaWxkcmVuPShCb3goY2hpbGRyZW49KEZsb2F0VGV4dCh2YWx1ZT0xLjUsIGRlc2NyaXB0aW9uPXUnXFwoXFxtYXRoYmJ7Un1lXFzigKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nuscos()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "cb55598e00284e8787488c13a5922529",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "844d906f20134d8ea2ff71f94a3c971c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VGFiKGNoaWxkcmVuPShIQm94KGNoaWxkcmVuPShWQm94KGNoaWxkcmVuPShCb3goY2hpbGRyZW49KEZsb2F0U2xpZGVyKHZhbHVlPTcuNSwgY29udGludW91c191cGRhdGU9RmFsc2UsIGRlc2PigKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nc()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c90dfa8dfc8448b887ecb9d90418cf7f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "12b86be41b2f46b5b540e10ec15a9d59",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VGFiKGNoaWxkcmVuPShIQm94KGNoaWxkcmVuPShWQm94KGNoaWxkcmVuPShCb3goY2hpbGRyZW49KFNlbGVjdChkZXNjcmlwdGlvbj11J0Nvbmp1bnRvOicsIG9wdGlvbnM9KCdDdWFkcm8nLCDigKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mapeoc()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<string>:2: RuntimeWarning: divide by zero encountered in true_divide\n",
      "<string>:2: RuntimeWarning: invalid value encountered in true_divide\n",
      "/anaconda2/lib/python2.7/site-packages/numpy/core/fromnumeric.py:83: RuntimeWarning: invalid value encountered in reduce\n",
      "  return ufunc.reduce(obj, axis, dtype, out, **passkwargs)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5b9be6aba11a4d1994464676d5d27b59",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e8587d146af8491fb48e53db4c916334",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VGFiKGNoaWxkcmVuPShIQm94KGNoaWxkcmVuPShWQm94KGNoaWxkcmVuPShCb3goY2hpbGRyZW49KFNlbGVjdChkZXNjcmlwdGlvbj11J0Nvbmp1bnRvOicsIG9wdGlvbnM9KCdDdWFkcm8nLCDigKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graficasc()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.15"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}