2120 Kinematic Medium Example.ipynb

{
 "cells": [
  {
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   },
   "cell_type": "markdown",
   "id": "4774a8b6-06ab-4dff-a029-0d39655b5dcb",
   "metadata": {
    "tags": []
   },
   "source": [
    "![line.png](attachment:baddecb4-e838-40d2-b5f0-cf399d0f02ce.png)"
   ]
  },
  {
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"
    }
   },
   "cell_type": "markdown",
   "id": "ed29392f-c0d7-4fa9-971d-4da2ba12e831",
   "metadata": {},
   "source": [
    "![image.png](attachment:cff863e8-b151-4fe9-bd38-44b5b81a3dcb.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "26f0ad9a-4f83-4f8b-a05b-ff6214fc7e0d",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from Libaldomath import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0cee57db-f49f-4287-9cf7-895e64c245ad",
   "metadata": {},
   "outputs": [],
   "source": [
    "# first declaring your particle whit know data\n",
    "A=mparticle(x1=0,y1=0,v1=V,a=alpha)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "606953d5-dcba-46c3-8e95-a0f0b924b7d8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle y =x \\tan{\\left(\\alpha \\right)} - \\frac{g x^{2}}{2 V^{2} \\cos^{2}{\\left(\\alpha \\right)}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# then we use a parabolicEq eq , it is a genera formule for x vs y\n",
    "y=A.parabolicEq()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4c227c19-f901-4476-9a8e-fcd892795829",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q1 =\\frac{2 L^{2} g}{V^{2} \\cos^{2}{\\left(\\alpha \\right)}} - 2 L \\tan{\\left(\\alpha \\right)} + 3 L$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# y(2*L) = 3*L....then create a MyEq equation to manipulate\n",
    "Q1=MyEq(3*L-y(2*L),'Q1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "105abfc6-2001-4b76-aada-e4406a3aa839",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q1 =2 L g - 2 V^{2} \\cos^{2}{\\left(\\alpha \\right)} \\tan{\\left(\\alpha \\right)} + 3 V^{2} \\cos^{2}{\\left(\\alpha \\right)}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q1.reducecero() # if Q = k*(x+1) and Q=0..then Q=(x+1) i hope tyou know algebra"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e88cc244-3833-4413-bac2-03054da33fd8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q1 =2 L g - V^{2} \\sin{\\left(2 \\alpha \\right)} + 3 V^{2} \\cos^{2}{\\left(\\alpha \\right)}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q1.simplify()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "64777d98-a390-416d-8e54-069be74d42aa",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle V =- \\sqrt{2} \\sqrt{\\frac{L g}{\\sin{\\left(2 \\alpha \\right)} - 3 \\cos^{2}{\\left(\\alpha \\right)}}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "V=Q1.solve('V')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8c1a338c-069d-4967-85a0-2d8cfe2a7653",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q2 =\\frac{9 L^{2} g}{2 V^{2} \\cos^{2}{\\left(\\alpha \\right)}} - 3 L \\tan{\\left(\\alpha \\right)} + 3 L$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# tha same maked in A applied to B....\n",
    "Q2=MyEq(3*L-y(3*L),'Q2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b59507c3-a7ec-4385-911e-e54e188ac55f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q2 =\\frac{3 L \\left(3 L g + V^{2} \\left(\\sqrt{2} \\cos{\\left(2 \\alpha + \\frac{\\pi}{4} \\right)} + 1\\right)\\right)}{2 V^{2} \\cos^{2}{\\left(\\alpha \\right)}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q2.simplify()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "90eb8724-f20c-4927-9356-e8b4989437cb",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q2 =3 L g + \\sqrt{2} V^{2} \\cos{\\left(2 \\alpha + \\frac{\\pi}{4} \\right)} + V^{2}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q2.reducecero()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "1f47ef50-4a45-4b9f-986f-a0254fa5acec",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q2 =3 L g + \\frac{2 \\sqrt{2} L g \\cos{\\left(2 \\alpha + \\frac{\\pi}{4} \\right)}}{\\sin{\\left(2 \\alpha \\right)} - 3 \\cos^{2}{\\left(\\alpha \\right)}} + \\frac{2 L g}{\\sin{\\left(2 \\alpha \\right)} - 3 \\cos^{2}{\\left(\\alpha \\right)}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# in this step we change V for the value finding when call solve('V')...\n",
    "Q2.set(V)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f3235937-2f07-434d-aa3e-db4e9db94091",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q2 =\\frac{L g \\left(\\sin{\\left(2 \\alpha \\right)} - \\frac{5 \\cos{\\left(2 \\alpha \\right)}}{2} - \\frac{5}{2}\\right)}{\\sin{\\left(2 \\alpha \\right)} - 3 \\cos^{2}{\\left(\\alpha \\right)}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q2.simplify()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "457b8631-f717-4957-a090-0fbc5610a36f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q2 =2 \\sin{\\left(2 \\alpha \\right)} - 5 \\cos{\\left(2 \\alpha \\right)} - 5$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q2.reducecero()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "9d87569c-b810-4f00-9a06-646490cf7184",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q2 =4 \\sin{\\left(\\alpha \\right)} \\cos{\\left(\\alpha \\right)} - 10 \\cos^{2}{\\left(\\alpha \\right)}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q2.texpand() # trigonometric expand.. or 2*alpha to..alpha.."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "53c5cfa2-a38d-4cb7-ae1e-1b6ec1b7979a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q2 =- 2 \\left(- 2 \\sin{\\left(\\alpha \\right)} + 5 \\cos{\\left(\\alpha \\right)}\\right) \\cos{\\left(\\alpha \\right)}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q2.factor()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "16785633-162f-4f8b-ba1a-c3d92d501142",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q2 =- 2 \\sin{\\left(\\alpha \\right)} + 5 \\cos{\\left(\\alpha \\right)}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q2.reducecero()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "d614c510-ae8b-4c76-809d-8e97c8b51036",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle α =\\operatorname{atan}{\\left(\\frac{5}{2} \\right)}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alpha=Q2.solve('alpha')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "dbe23594-71f2-41fa-9ce8-4d786effc605",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle V =- \\frac{\\sqrt{2} \\sqrt{L g}}{\\sqrt{- \\frac{12}{29} + \\sin{\\left(2 \\operatorname{atan}{\\left(\\frac{5}{2} \\right)} \\right)}}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "V.set(alpha)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "c7391642-ebb0-496c-a7b3-18a7446efbc3",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle V =- \\frac{\\sqrt{29} \\sqrt{L g}}{2}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "V.simplify() # voilaa!!!!!"
   ]
  },
  {
   "attachments": {
    "c4ed1b8c-1944-4eed-a22e-277e691998f4.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "b44deddf-40d8-4307-8fbf-2cf5e1ca7065",
   "metadata": {},
   "source": [
    " ![line.png](attachment:c4ed1b8c-1944-4eed-a22e-277e691998f4.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "1467f077-e978-4a9c-9986-c21c0eb90980",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from Libaldomath import *\n",
    "from lib_Mechanics import *"
   ]
  },
  {
   "attachments": {
    "d654e71d-cbbe-448e-9fa8-3a4c71d76e13.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "7739e048-8456-401e-9c3e-92edd5178875",
   "metadata": {},
   "source": [
    " ![km30.png](attachment:d654e71d-cbbe-448e-9fa8-3a4c71d76e13.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "2cf375be-890e-47c9-882f-16949892ce60",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "P1=phybody(ang=alpha,v1=450,x1=0,y1=0,ac=0,g=10)\n",
    "P2=phybody(ang=0,v1=200,x1=0,y1=100,ac=0,g=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "f538945a-e6c6-4058-9539-f0e7cf91c974",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q1 =450 t_{1} \\cos{\\left(\\alpha \\right)} - 200 t_{1}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q1=MyEq(P1.xpos(t1)-P2.xpos(t1),'Q1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "e7d35482-f5e9-4fb5-a385-36a671176e52",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q1 =9 \\cos{\\left(\\alpha \\right)} - 4$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q1.reducecero()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "de120d9a-5f02-4b0b-b5c5-6d1a63198b91",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\operatorname{acos}{\\left(\\frac{4}{9} \\right)}$"
      ],
      "text/plain": [
       "acos(4/9)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alpha1=Q1.solve(alpha,'1')\n",
    "alpha1"
   ]
  },
  {
   "attachments": {
    "c4ed1b8c-1944-4eed-a22e-277e691998f4.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "7a69695c-5dad-412f-a68e-00ed7257c7e3",
   "metadata": {},
   "source": [
    " ![line.png](attachment:c4ed1b8c-1944-4eed-a22e-277e691998f4.png)"
   ]
  },
  {
   "attachments": {
    "cab91346-dfad-481d-a0d6-085283383970.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "889ddda0-3eea-412f-854b-b8da187c459a",
   "metadata": {},
   "source": [
    " ![km40.png](attachment:cab91346-dfad-481d-a0d6-085283383970.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "82ae37ed-7190-4537-8dc5-560f56b59772",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from physic_lib2 import * # run this to reset all variables\n",
    "V1,V2=symbols('V1 V2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "22dcef8c-5b1c-4395-ae83-ffcc549ed076",
   "metadata": {},
   "outputs": [],
   "source": [
    "P1=mparticle(x1=0,y1=0,v=V1,a=pi/4,g=10,ac=0)\n",
    "P2=mparticle(x1=0,y1=60,v=V2,a=pi/4,g=10,ac=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "4f716dc0-ae8b-4533-989e-22a8e2221799",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle e1 =\\frac{\\sqrt{2} V_{1} t}{2} - \\frac{\\sqrt{2} V_{2} t}{2} - 60$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle e2 =\\frac{\\sqrt{2} V_{1} t}{2} + \\frac{\\sqrt{2} V_{2} t}{2} - 100$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# creating e1 Eq to manage \n",
    "e1=e1Q(P1.y_pos(t)-P2.y_pos(t))\n",
    "e2=e2Q( P1.x_pos(t)+P2.x_pos(t)-100)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "a8ceae0f-1a29-4b3e-b061-6052ae3b5bf2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle V1 =V_{2} + \\frac{60 \\sqrt{2}}{t}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "V1=e1.solve(V1,'V1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "4aa17305-b8bf-4a2e-8204-27385c8c05c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle e2 =\\frac{\\sqrt{2} V_{2} t}{2} + \\frac{\\sqrt{2} t \\left(V_{2} + \\frac{60 \\sqrt{2}}{t}\\right)}{2} - 100$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "e2.upgrade(V1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "940dd7a5-5bca-4277-84e8-d816208a51ea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle V2 =\\frac{20 \\sqrt{2}}{t}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "V2=e2.solve(V2,'V2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "7f461ab3-c297-44a5-8046-696dbf77ce21",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle e1 =\\frac{\\sqrt{2} V_{1} t}{2} - 80$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "e1.upgrade(V2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "f5129f6a-66bd-4796-a18a-b812976cc00c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle V1 =\\frac{80 \\sqrt{2}}{t}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "V1=e1.solve(V1,'V1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "9102a9e9-f2d5-4508-be13-e647da4df5b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 4$"
      ],
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "V1/V2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "4ec2c3ff-5617-44b3-a191-75b31a35d119",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle V1/V2 =4$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "r=MyEq(V1/V2,'V1/V2',kope='s')"
   ]
  },
  {
   "attachments": {
    "baddecb4-e838-40d2-b5f0-cf399d0f02ce.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII="
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   },
   "cell_type": "markdown",
   "id": "6e5de242-4b18-4508-8b2b-c67cf348a95b",
   "metadata": {
    "tags": []
   },
   "source": [
    "![line.png](attachment:baddecb4-e838-40d2-b5f0-cf399d0f02ce.png)"
   ]
  },
  {
   "attachments": {
    "91ea4501-3849-427f-aa08-9fe0bcf5defa.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "00cd4cdc-bc21-4b13-a397-12b0b4cd9b80",
   "metadata": {},
   "source": [
    "![image.png](attachment:91ea4501-3849-427f-aa08-9fe0bcf5defa.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c512835f-365a-4754-8aec-021b02a1c71b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from Libaldomath import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "98095651-6d27-4581-b85b-2c33e59afa38",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "063c7b36-1669-4acd-9680-3586d47a2e4e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "attachments": {
    "baddecb4-e838-40d2-b5f0-cf399d0f02ce.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "47be5fd8-34de-40ab-b7e1-fc1d83753a59",
   "metadata": {
    "tags": []
   },
   "source": [
    "![line.png](attachment:baddecb4-e838-40d2-b5f0-cf399d0f02ce.png)"
   ]
  },
  {
   "attachments": {
    "91ea4501-3849-427f-aa08-9fe0bcf5defa.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "91cf4647-b833-4185-83b3-632a25b81ec1",
   "metadata": {},
   "source": [
    "![image.png](attachment:91ea4501-3849-427f-aa08-9fe0bcf5defa.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "04a8d4bd-7125-4254-a30a-b3e7edbafffc",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from Libaldomath import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3d4ee03c-f896-479a-9e50-5b311b43745e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "42c357f8-d00c-4e63-92fd-970a33873554",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "attachments": {
    "baddecb4-e838-40d2-b5f0-cf399d0f02ce.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII="
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   },
   "cell_type": "markdown",
   "id": "dea8a1db-0450-4503-b788-27a7c8bd74de",
   "metadata": {
    "tags": []
   },
   "source": [
    "![line.png](attachment:baddecb4-e838-40d2-b5f0-cf399d0f02ce.png)"
   ]
  },
  {
   "attachments": {
    "91ea4501-3849-427f-aa08-9fe0bcf5defa.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "c4516bb5-287d-4abd-9cda-981e6cffca4e",
   "metadata": {},
   "source": [
    "![image.png](attachment:91ea4501-3849-427f-aa08-9fe0bcf5defa.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5a08fcbc-10d5-4a1a-860f-152ed29d631e",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from Libaldomath import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ab7eb733-25d0-43fd-8924-35a2dc4d6a3a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
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