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311 lines
69 KiB
311 lines
69 KiB
{ |
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"cells": [ |
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{ |
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"cell_type": "markdown", |
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"metadata": {}, |
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"source": [ |
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"# Separability of phase and orientation" |
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] |
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}, |
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{ |
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"cell_type": "markdown", |
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"metadata": {}, |
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"source": [ |
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"**Imports**" |
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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": 4, |
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"metadata": {}, |
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"outputs": [], |
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"source": [ |
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"%matplotlib inline\n", |
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"\n", |
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"import sys\n", |
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"import seaborn as sns\n", |
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"import sympy as sp\n", |
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"import numpy as np\n", |
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"import pandas as pd\n", |
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"from matplotlib import pyplot as plt\n", |
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"sys.path.insert(0, './model')\n", |
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"sys.path.insert(0, './numerical')\n", |
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"\n", |
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"from sym_model import *\n", |
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"from model import decoding\n", |
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"from model import persistence\n", |
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"from utils import get_orientation_phase_grid" |
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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": 9, |
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"metadata": {}, |
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"outputs": [], |
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"source": [ |
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"p_func = sp.lambdify(\n", |
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" (x0, y0, k, sigma, phi_rf, theta_rf, phi_grating, theta_grating, ),\n", |
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" p, 'numpy')\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": 6, |
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"metadata": {}, |
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"outputs": [], |
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"source": [ |
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"\n", |
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"n_theta, n_phi = 36, 72\n", |
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"# n_theta, n_phi = 9, 12\n", |
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"step_phi, step_theta = 360 // n_phi, 180 // n_theta" |
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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": 7, |
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"metadata": {}, |
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"outputs": [], |
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"source": [ |
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"grid = get_orientation_phase_grid(step_phi, step_theta)\n", |
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"grid = grid.reshape((-1, 2))" |
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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": 46, |
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"metadata": {}, |
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"outputs": [], |
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"source": [ |
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"res = (np.abs(p_func(0, 0, 6, 1, 0, 0, grid[:, 1], grid[:, 0])) * 10).reshape((n_phi, n_theta))\n", |
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"get_res = lambda x, y: (np.abs(p_func(x, y, 6, 1, 0, 0, grid[:, 1], grid[:, 0])) * 10).reshape((n_phi, n_theta))" |
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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": 39, |
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"metadata": {}, |
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"outputs": [], |
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"source": [ |
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"def reconstruct(img: np.ndarray):\n", |
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" x_avg = np.mean(img, axis=0)\n", |
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" y_avg = np.mean(img, axis=1)\n", |
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" new_image = np.outer(y_avg, x_avg)\n", |
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" new_image *= np.sum(img) / np.sum(new_image)\n", |
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" return new_image" |
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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": 14, |
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"metadata": {}, |
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"outputs": [ |
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{ |
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"data": { |
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"text/plain": [ |
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"<matplotlib.image.AxesImage at 0x7ffa82808d00>" |
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] |
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}, |
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"execution_count": 14, |
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"metadata": {}, |
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"output_type": "execute_result" |
|
}, |
|
{ |
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"data": { |
|
"image/png": 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RcMRFwREXBUdcFBxx+T9N7uFeskVTDQAAAABJRU5ErkJggg==", |
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"text/plain": [ |
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"<Figure size 432x288 with 1 Axes>" |
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] |
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}, |
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"metadata": { |
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"needs_background": "light" |
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}, |
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"output_type": "display_data" |
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} |
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], |
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"source": [ |
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"plt.imshow(res)" |
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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": 40, |
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"metadata": {}, |
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"outputs": [ |
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{ |
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"data": { |
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"text/plain": [ |
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"<matplotlib.image.AxesImage at 0x7ffa7e4078e0>" |
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] |
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}, |
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"execution_count": 40, |
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"metadata": {}, |
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"output_type": "execute_result" |
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}, |
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{ |
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"data": { |
|
"image/png": "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", |
|
"text/plain": [ |
|
"<Figure size 432x288 with 1 Axes>" |
|
] |
|
}, |
|
"metadata": { |
|
"needs_background": "light" |
|
}, |
|
"output_type": "display_data" |
|
} |
|
], |
|
"source": [ |
|
"plt.imshow(reconstruct(res))" |
|
] |
|
}, |
|
{ |
|
"cell_type": "code", |
|
"execution_count": 38, |
|
"metadata": {}, |
|
"outputs": [ |
|
{ |
|
"data": { |
|
"image/png": "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", |
|
"text/latex": [ |
|
"$\\displaystyle 1100.34214154386$" |
|
], |
|
"text/plain": [ |
|
"1100.342141543863" |
|
] |
|
}, |
|
"execution_count": 38, |
|
"metadata": {}, |
|
"output_type": "execute_result" |
|
} |
|
], |
|
"source": [] |
|
}, |
|
{ |
|
"cell_type": "code", |
|
"execution_count": 25, |
|
"metadata": {}, |
|
"outputs": [], |
|
"source": [ |
|
"def separability(img):\n", |
|
" return (np.mean(np.abs(img)) - np.mean(np.abs(img - reconstruct(img)))) / np.mean(np.abs(img))" |
|
] |
|
}, |
|
{ |
|
"cell_type": "code", |
|
"execution_count": 42, |
|
"metadata": {}, |
|
"outputs": [ |
|
{ |
|
"data": { |
|
"image/png": "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", |
|
"text/latex": [ |
|
"$\\displaystyle 1.0$" |
|
], |
|
"text/plain": [ |
|
"0.9999999999999996" |
|
] |
|
}, |
|
"execution_count": 42, |
|
"metadata": {}, |
|
"output_type": "execute_result" |
|
} |
|
], |
|
"source": [ |
|
"separability(res)" |
|
] |
|
}, |
|
{ |
|
"cell_type": "code", |
|
"execution_count": 57, |
|
"metadata": {}, |
|
"outputs": [ |
|
{ |
|
"data": { |
|
"text/plain": [ |
|
"Text(0.5, 0, 'x')" |
|
] |
|
}, |
|
"execution_count": 57, |
|
"metadata": {}, |
|
"output_type": "execute_result" |
|
}, |
|
{ |
|
"data": { |
|
"image/png": 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", |
|
"text/plain": [ |
|
"<Figure size 432x288 with 1 Axes>" |
|
] |
|
}, |
|
"metadata": { |
|
"needs_background": "light" |
|
}, |
|
"output_type": "display_data" |
|
} |
|
], |
|
"source": [ |
|
"xs = np.linspace(0, 100, 10001)\n", |
|
"data = [separability(get_res(0, x)) for x in xs]\n", |
|
"plt.scatter(xs, data)\n", |
|
"plt.ylabel('Separability score (0-1) at point (0, x)')\n", |
|
"plt.xlabel('x')" |
|
] |
|
}, |
|
{ |
|
"cell_type": "code", |
|
"execution_count": 29, |
|
"metadata": {}, |
|
"outputs": [ |
|
{ |
|
"data": { |
|
"text/plain": [ |
|
"[<matplotlib.lines.Line2D at 0x7ffa7e394400>]" |
|
] |
|
}, |
|
"execution_count": 29, |
|
"metadata": {}, |
|
"output_type": "execute_result" |
|
}, |
|
{ |
|
"data": { |
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"image/png": 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", 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"text/plain": [ |
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"<Figure size 432x288 with 1 Axes>" |
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] |
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}, |
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"metadata": { |
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"needs_background": "light" |
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}, |
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"output_type": "display_data" |
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} |
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], |
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"source": [] |
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} |
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], |
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"metadata": { |
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"kernelspec": { |
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"display_name": "Python 3.10.5 64-bit", |
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"language": "python", |
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"name": "python3" |
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}, |
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"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", |
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"nbconvert_exporter": "python", |
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"pygments_lexer": "ipython3", |
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"version": "3.10.5" |
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}, |
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"orig_nbformat": 4, |
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"vscode": { |
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"interpreter": { |
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"hash": "e7370f93d1d0cde622a1f8e1c04877d8463912d04d973331ad4851f04de6915a" |
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} |
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} |
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}, |
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"nbformat": 4, |
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"nbformat_minor": 2 |
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}
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