example_interview.ipynb 1.38 MB
 Theresa Pollinger committed Mar 08, 2018 1 2 3 { "cells": [ { 4 "cell_type": "markdown", Theresa Pollinger committed Mar 08, 2018 5 6 "metadata": {}, "source": [ Theresa Pollinger committed Apr 06, 2018 7 "**Hello, user! I am TheInterview, your partial differential equations and simulations expert.**\n", 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 "Let's set up a model and simulation together.\n", "\n", "To get explanations, enter explain . \n", "To see a recap of what we know so far, enter recap . \n", "To interactively visualize ther current theory graph, enter tgwiev or tgview mpd. \n", "Otherwise, you can always answer with LaTeX-type input.\n", "\n", "\n", "How many dimensions does your model have?\n", "\n", "\n", "I am just assuming it's 1, since that is all we can currently handle.\n", "\n", "\n", "\n", "\n", "What is the domain you would like to simulate for? Ω : type ❘ = [?;?], e.g. \\Omega = [0.0;1.0]\n", "By the way, you can always try and use LaTeX-type input.\n" Theresa Pollinger committed Mar 08, 2018 26 27 28 29 ] }, { "cell_type": "code", 30 "execution_count": 1, Theresa Pollinger committed Mar 08, 2018 31 "metadata": {}, 32 33 "outputs": [ { 34 35 36 37 38 "data": { "text/markdown": [ "we will just assume that the variable is called x for now.\n", "\n", "\n", Theresa Pollinger committed Apr 06, 2018 39 40 "\n", "Which variable(s) are you looking for? / What are the unknowns in your model? u : Ω ⟶ ??, e.g., u : Ω ⟶ ℝ ?\n" 41 42 43 44 ] }, "metadata": {}, "output_type": "display_data" 45 46 } ], Theresa Pollinger committed Mar 08, 2018 47 "source": [ Theresa Pollinger committed Apr 10, 2018 48 "Ω = [0.0;1.0]\n" Theresa Pollinger committed Mar 08, 2018 49 50 51 52 ] }, { "cell_type": "code", 53 "execution_count": 2, Theresa Pollinger committed Mar 08, 2018 54 "metadata": {}, 55 56 "outputs": [ { 57 58 "data": { "text/markdown": [ 59 "Ok, t : Ω ⟶ ℝ\n", Theresa Pollinger committed Apr 06, 2018 60 "\n", 61 62 "\n", "\n", Theresa Pollinger committed Apr 06, 2018 63 "Would you like to name additional parameters like constants or functions (that are independent of your unknowns)? c : ℝ = ? or f : Ω ⟶ ℝ = ?\n" 64 65 66 67 ] }, "metadata": {}, "output_type": "display_data" 68 69 } ], Theresa Pollinger committed Mar 08, 2018 70 "source": [ 71 "t : Ω ⟶ ℝ" Theresa Pollinger committed Mar 08, 2018 72 73 74 75 ] }, { "cell_type": "code", 76 "execution_count": 3, Theresa Pollinger committed Mar 08, 2018 77 "metadata": {}, 78 79 "outputs": [ { 80 81 82 "data": { "text/markdown": [ "Ok, f = [ x : Ω] x\n", Theresa Pollinger committed Apr 06, 2018 83 84 85 "\n", "\n", "\n", 86 87 88 89 90 "Would you like to declare more parameters?\n" ] }, "metadata": {}, "output_type": "display_data" 91 92 } ], Theresa Pollinger committed Mar 08, 2018 93 94 95 96 97 98 "source": [ "f = x" ] }, { "cell_type": "code", 99 "execution_count": 4, Theresa Pollinger committed Mar 08, 2018 100 "metadata": {}, 101 102 "outputs": [ { 103 104 105 "data": { "text/markdown": [ "Ok, α = [ x : Ω] -5.0\n", Theresa Pollinger committed Apr 06, 2018 106 107 108 "\n", "\n", "\n", 109 110 111 112 113 "Would you like to declare more parameters?\n" ] }, "metadata": {}, "output_type": "display_data" 114 115 } ], Theresa Pollinger committed Mar 08, 2018 116 117 118 119 120 121 "source": [ "\\alpha = -5.0" ] }, { "cell_type": "code", 122 "execution_count": 5, Theresa Pollinger committed Mar 08, 2018 123 "metadata": {}, 124 125 "outputs": [ { 126 127 128 129 130 "data": { "text/markdown": [] }, "metadata": {}, "output_type": "display_data" 131 132 } ], Theresa Pollinger committed Mar 08, 2018 133 134 135 136 137 138 "source": [ "y" ] }, { "cell_type": "code", 139 "execution_count": 6, 140 141 142 143 "metadata": { "scrolled": true }, "outputs": [ Theresa Pollinger committed Apr 10, 2018 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 { "name": "stderr", "output_type": "stream", "text": [ "I did not catch that. Could you please rephrase?\n", "Details: MMT server error: unbound token: ·.
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info.kwarc.mmt.api.SourceError of level 2
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unbound token: ·
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source error (object-parser) at http://mathhub.info/MitM/smglom/calculus/differentialequations#15.0.15:15.0.15\n", "\n", "
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