dd51156174
Each of the eight v2.0 companion notebooks (10_bsde through 17_generative_calibration) now follows the mandatory pedagogical sandwich structure: PRE markdown : theorem / model / pivot equation / what the cell verifies CODE cell : labelled prints + at least one matplotlib figure POST markdown: expected result, graph reading, conclusion Each notebook carries at least one concrete real-world example (heat plate, inverted pendulum, opinion polarization, collective decision, OU drift under Cauchy noise, mixture vs gaussian MMD, etc.) Generator script: scripts/enrich_v2_notebooks.py Doc plots refreshed via scripts/inject_doc_plots.py.
344 lines
350 KiB
Plaintext
344 lines
350 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "848441ca",
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"metadata": {},
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"source": [
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"# 10 — BSDE θ-scheme (linear, constant coefficients)\n",
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"\n",
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"CPU-only Crank–Nicolson scheme for linear backward stochastic\n",
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"differential equations. Doc page:\n",
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"[bsde.rst](../../docs/source/algorithms/bsde.rst).\n",
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"\n",
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"Each computational cell is sandwiched between a *PRE* markdown\n",
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"(theoretical reminder) and a *POST* markdown (expected result and\n",
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"graph reading).\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "d4d08da6",
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"metadata": {
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"execution": {
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"iopub.execute_input": "2026-05-12T14:05:12.042844Z",
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"iopub.status.busy": "2026-05-12T14:05:12.042527Z",
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"iopub.status.idle": "2026-05-12T14:05:12.741162Z",
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"shell.execute_reply": "2026-05-12T14:05:12.739594Z"
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}
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},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from optimizr import _core as opt\n",
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"plt.rcParams['figure.figsize'] = (8.5, 4.5)\n",
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"plt.rcParams['figure.dpi'] = 110\n",
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"plt.rcParams['axes.grid'] = True\n",
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"plt.rcParams['grid.alpha'] = 0.3\n"
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]
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},
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{
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"cell_type": "markdown",
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"id": "ad34d21a",
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"metadata": {},
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"source": [
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"## Cellule 1 — Vérification du schéma θ contre la solution analytique\n",
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"\n",
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"**Théorème (Pardoux-Peng 1990) — BSDE linéaire à coefficients constants.**\n",
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"Pour $a$, $b$, $c$ déterministes constants et terminal $\\xi$, la\n",
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"solution déterministe (lorsque $b = c = 0$) de\n",
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"$$-dY_t = (a Y_t)\\,dt - Z_t\\,dW_t,\\qquad Y_T = \\xi$$\n",
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"est $Y_t = \\xi e^{a(T-t)}$.\n",
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"\n",
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"**Équation pivot.**\n",
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"$$Y_t = \\xi\\,e^{a(T-t)}.$$\n",
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"\n",
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"**Démonstration (esquisse).** En l'absence de bruit ($b = 0$) et de\n",
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"forçage ($c = 0$), l'EDS rétrograde devient l'EDO $\\dot Y = -aY$\n",
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"intégrée en $Y_t = \\xi e^{a(T-t)}$. $\\square$\n",
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"\n",
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"**Ce que la cellule vérifie.** Le schéma $\\theta = 0.5$ (Crank–Nicolson)\n",
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"reproduit la décroissance exponentielle pour $a = -0.3$, $T = 1$.\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "62662239",
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"metadata": {
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"execution": {
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"iopub.execute_input": "2026-05-12T14:05:12.744901Z",
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"iopub.status.busy": "2026-05-12T14:05:12.744545Z",
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"iopub.status.idle": "2026-05-12T14:05:13.157460Z",
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"shell.execute_reply": "2026-05-12T14:05:13.155633Z"
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}
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Y0 numérique = 0.740818\n",
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"Y0 analytique = 0.740818\n",
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"Erreur max sur la grille : 4.17e-08\n"
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]
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},
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{
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"data": {
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",
|
||
"text/plain": [
|
||
"<Figure size 935x495 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"rho, T, n = 0.3, 1.0, 200\n",
|
||
"res = opt.linear_bsde_constant_coeffs(-rho, 0.0, 0.0, 1.0, n, T, 0.5)\n",
|
||
"tg = np.array(res['time_grid'])\n",
|
||
"yg = np.array(res['y'])\n",
|
||
"analytic = np.exp(-rho * (T - tg))\n",
|
||
"err = float(np.max(np.abs(yg - analytic)))\n",
|
||
"print(f\"Y0 numérique = {yg[0]:.6f}\")\n",
|
||
"print(f\"Y0 analytique = {analytic[0]:.6f}\")\n",
|
||
"print(f\"Erreur max sur la grille : {err:.2e}\")\n",
|
||
"\n",
|
||
"fig, ax = plt.subplots()\n",
|
||
"ax.plot(tg, yg, lw=2, label='θ-scheme')\n",
|
||
"ax.plot(tg, analytic, '--', lw=1.5, label=r'$\\xi e^{-\\rho(T-t)}$')\n",
|
||
"ax.set_xlabel('t'); ax.set_ylabel(r'$Y_t$')\n",
|
||
"ax.set_title(\"BSDE linéaire — Crank–Nicolson vs analytique\")\n",
|
||
"ax.legend()\n",
|
||
"fig.tight_layout(); plt.show()\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "a06e1e55",
|
||
"metadata": {},
|
||
"source": [
|
||
"**Résultat attendu.** $Y_0 \\approx 0.7408$, erreur max $< 10^{-3}$.\n",
|
||
"\n",
|
||
"**Lecture du graphique.** Les deux courbes se superposent visuellement.\n",
|
||
"\n",
|
||
"**Conclusion.** Le primitive `linear_bsde_constant_coeffs` est calibré\n",
|
||
"sur le test analytique exponentiel ; il est utilisé comme brique pour\n",
|
||
"les BSDE non-linéaires (cellule 3).\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "54ed7d4f",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Cellule 2 — Étude de convergence en $\\Delta t$\n",
|
||
"\n",
|
||
"**Théorème (Crank–Nicolson, ordre 2).** Pour une EDO linéaire\n",
|
||
"$\\dot y = -a y$, le schéma $\\theta = 1/2$ vérifie\n",
|
||
"$|y_n - y(t_n)| = O(\\Delta t^2)$.\n",
|
||
"\n",
|
||
"**Équation pivot.**\n",
|
||
"$$\\log\\,\\text{erreur}(n) \\;\\approx\\; -2\\log n + C.$$\n",
|
||
"\n",
|
||
"**Ce que la cellule vérifie.** On trace $|Y_0^{(n)} - e^{-\\rho T}|$\n",
|
||
"en log-log et on compare à la pente $-2$.\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 3,
|
||
"id": "025c2ffb",
|
||
"metadata": {
|
||
"execution": {
|
||
"iopub.execute_input": "2026-05-12T14:05:13.161121Z",
|
||
"iopub.status.busy": "2026-05-12T14:05:13.160837Z",
|
||
"iopub.status.idle": "2026-05-12T14:05:13.731017Z",
|
||
"shell.execute_reply": "2026-05-12T14:05:13.729675Z"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"n = 25 -> erreur = 2.667e-06\n",
|
||
"n = 50 -> erreur = 6.667e-07\n",
|
||
"n = 100 -> erreur = 1.667e-07\n",
|
||
"n = 200 -> erreur = 4.167e-08\n",
|
||
"n = 400 -> erreur = 1.042e-08\n",
|
||
"n = 800 -> erreur = 2.604e-09\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
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",
|
||
"text/plain": [
|
||
"<Figure size 935x495 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"ns = [25, 50, 100, 200, 400, 800]\n",
|
||
"errs = []\n",
|
||
"for n in ns:\n",
|
||
" r = opt.linear_bsde_constant_coeffs(-rho, 0.0, 0.0, 1.0, n, T, 0.5)\n",
|
||
" errs.append(abs(r['y'][0] - np.exp(-rho * T)))\n",
|
||
"for n, e in zip(ns, errs):\n",
|
||
" print(f\"n = {n:4d} -> erreur = {e:.3e}\")\n",
|
||
"\n",
|
||
"fig, ax = plt.subplots()\n",
|
||
"ax.loglog(ns, errs, 'o-', lw=2, label='erreur empirique')\n",
|
||
"ax.loglog(ns, [errs[0] * (ns[0] / n) ** 2 for n in ns], ':',\n",
|
||
" label=r'pente $-2$ (référence)')\n",
|
||
"ax.set_xlabel('n_steps'); ax.set_ylabel(r'$|Y_0 - e^{-\\rho T}|$')\n",
|
||
"ax.set_title(\"Convergence de Crank–Nicolson\")\n",
|
||
"ax.legend()\n",
|
||
"fig.tight_layout(); plt.show()\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "e2586561",
|
||
"metadata": {},
|
||
"source": [
|
||
"**Résultat attendu.** Les points s'alignent sur la pente $-2$.\n",
|
||
"\n",
|
||
"**Lecture du graphique.** Parallélisme avec la droite pointillée.\n",
|
||
"\n",
|
||
"**Conclusion.** Précision $10^{-6}$ atteinte avec $n \\approx 800$.\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "f1586c1a",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Cellule 3 — Exemple concret : actualisation d'une espérance terminale\n",
|
||
"\n",
|
||
"**Modèle utilisé.** Pour un brownien $W_t$, la valeur actualisée\n",
|
||
"$$Y_t = \\mathbb{E}\\!\\left[e^{-\\rho(T-t)}\\,W_T^2\\,\\big|\\,\\mathcal{F}_t\\right]$$\n",
|
||
"satisfait l'EDP de Feynman–Kac\n",
|
||
"$\\partial_t u + \\tfrac{1}{2}\\partial_{xx} u - \\rho u = 0$,\n",
|
||
"$u(T, x) = x^2$.\n",
|
||
"\n",
|
||
"**Équation pivot (cas déterministe).** $\\mathbb{E}[W_T^2] = T$, donc\n",
|
||
"$$Y_0 = e^{-\\rho T}\\,T.$$\n",
|
||
"\n",
|
||
"**Ce que la cellule vérifie.** On compare le primitive `linear_bsde`\n",
|
||
"(avec terminal $\\xi = T$ — espérance déterministe de $W_T^2$) à une\n",
|
||
"simulation Monte Carlo de $10^4$ trajectoires.\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 4,
|
||
"id": "dcfe4109",
|
||
"metadata": {
|
||
"execution": {
|
||
"iopub.execute_input": "2026-05-12T14:05:13.735165Z",
|
||
"iopub.status.busy": "2026-05-12T14:05:13.734851Z",
|
||
"iopub.status.idle": "2026-05-12T14:05:14.271954Z",
|
||
"shell.execute_reply": "2026-05-12T14:05:14.270549Z"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Monte Carlo (M=10000) : Y0 = 0.738001\n",
|
||
"BSDE primitive : Y0 = 0.740818\n",
|
||
"Écart relatif : 0.38%\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
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",
|
||
"text/plain": [
|
||
"<Figure size 1210x440 with 2 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"rng = np.random.default_rng(0)\n",
|
||
"M = 10_000\n",
|
||
"W_T = rng.standard_normal(M) * np.sqrt(T)\n",
|
||
"mc_value = np.exp(-rho * T) * float(np.mean(W_T ** 2))\n",
|
||
"\n",
|
||
"# valeur déterministe via le primitive (xi = E[W_T^2] = T)\n",
|
||
"res = opt.linear_bsde_constant_coeffs(-rho, 0.0, 0.0, T, n, T, 0.5)\n",
|
||
"y0_pde = float(res['y'][0])\n",
|
||
"\n",
|
||
"print(f\"Monte Carlo (M={M}) : Y0 = {mc_value:.6f}\")\n",
|
||
"print(f\"BSDE primitive : Y0 = {y0_pde:.6f}\")\n",
|
||
"print(f\"Écart relatif : {abs(y0_pde - mc_value)/mc_value:.2%}\")\n",
|
||
"\n",
|
||
"ts = np.linspace(0, T, 50)\n",
|
||
"paths = np.cumsum(rng.standard_normal((20, len(ts))) *\n",
|
||
" np.sqrt(T / len(ts)), axis=1)\n",
|
||
"fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n",
|
||
"for p in paths:\n",
|
||
" axes[0].plot(ts, p, alpha=0.5)\n",
|
||
"axes[0].set_title(\"20 trajectoires browniennes\")\n",
|
||
"axes[0].set_xlabel('t'); axes[0].set_ylabel(r'$W_t$')\n",
|
||
"\n",
|
||
"tg = np.array(res['time_grid'])\n",
|
||
"yg = np.array(res['y'])\n",
|
||
"axes[1].plot(tg, yg, lw=2, color='C3', label='BSDE')\n",
|
||
"axes[1].axhline(mc_value, ls='--', color='C0',\n",
|
||
" label=f'Monte Carlo Y0 = {mc_value:.3f}')\n",
|
||
"axes[1].set_title(\"Valeur actualisée déterministe\")\n",
|
||
"axes[1].set_xlabel('t'); axes[1].set_ylabel(r'$Y_t$')\n",
|
||
"axes[1].legend()\n",
|
||
"fig.tight_layout(); plt.show()\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "10290d98",
|
||
"metadata": {},
|
||
"source": [
|
||
"**Résultat attendu.** $Y_0 = T \\cdot e^{-\\rho T} \\approx 0.7408$,\n",
|
||
"estimateur Monte Carlo à moins de 3 %.\n",
|
||
"\n",
|
||
"**Lecture du graphique.** Faisceau brownien à gauche ; valeur actualisée\n",
|
||
"et niveau Monte Carlo à droite — ils coïncident.\n",
|
||
"\n",
|
||
"**Conclusion.** La primitive BSDE évite la simulation Monte Carlo\n",
|
||
"quand le terminal est une fonctionnelle simple du brownien.\n"
|
||
]
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
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"display_name": "rhftlab",
|
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"language": "python",
|
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"name": "rhftlab"
|
||
},
|
||
"language_info": {
|
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"codemirror_mode": {
|
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"name": "ipython",
|
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"version": 3
|
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},
|
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"file_extension": ".py",
|
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"mimetype": "text/x-python",
|
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"name": "python",
|
||
"nbconvert_exporter": "python",
|
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"pygments_lexer": "ipython3",
|
||
"version": "3.11.13"
|
||
}
|
||
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|
||
"nbformat": 4,
|
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"nbformat_minor": 5
|
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