445 lines
189 KiB
Plaintext
445 lines
189 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "6391b058-8273-4208-a2f4-c467ffa0b5fa",
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"metadata": {},
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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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"[[ 74998.22213794 366.04271268 -364.26485061]\n",
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" [ 74983.98070068 1104.02743475 -1088.00813543]\n",
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" [ 74969.72843243 1521.68159847 -1491.4100309 ]\n",
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" ...\n",
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" [ 51430.15568009 51430.15568009 -27860.31136019]\n",
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" [ 51436.305844 51436.305844 -27872.61168801]\n",
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" [ 51442.45232458 51442.45232458 -27884.90464915]]\n"
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]
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},
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"/tmp/ipykernel_64970/1840589270.py:24: ComplexWarning: Casting complex values to real discards the imaginary part\n",
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" roots[i] = np.roots([alpha, beta, gamma, delta])\n"
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]
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}
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],
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"source": [
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"import numpy as np\n",
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"\n",
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"import matplotlib.pyplot as plt\n",
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"from scipy.optimize import root_scalar\n",
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"\n",
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"# Parameters\n",
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"alpha = 4e-7\n",
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"beta = -0.03\n",
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"gamma = 0\n",
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"N_0 = 40000\n",
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"\n",
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"# Define s_dot function\n",
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"def s_dot(s, delta):\n",
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" return alpha * s**2 + beta * s + gamma + delta / s\n",
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"\n",
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"# Delta values to evaluate\n",
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"delta_values = np.linspace(0.1, 800, 1000) * N_0\n",
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"roots_positive = []\n",
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"roots_negative = []\n",
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"\n",
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"# Find roots for each delta\n",
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"roots = np.zeros([1000,3])\n",
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"for i, delta in enumerate(delta_values):\n",
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" roots[i] = np.roots([alpha, beta, gamma, delta])\n",
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"\n",
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"print(roots)"
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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": "0c80e43c-d9f6-419c-8eac-803b425a5ab9",
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"metadata": {},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"<>:11: SyntaxWarning: invalid escape sequence '\\g'\n",
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"<>:12: SyntaxWarning: invalid escape sequence '\\s'\n",
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"<>:20: SyntaxWarning: invalid escape sequence '\\d'\n",
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"<>:21: SyntaxWarning: invalid escape sequence '\\s'\n",
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"<>:11: SyntaxWarning: invalid escape sequence '\\g'\n",
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"<>:12: SyntaxWarning: invalid escape sequence '\\s'\n",
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"<>:20: SyntaxWarning: invalid escape sequence '\\d'\n",
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"<>:21: SyntaxWarning: invalid escape sequence '\\s'\n",
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"/tmp/ipykernel_64970/2098390987.py:11: SyntaxWarning: invalid escape sequence '\\g'\n",
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" ax1.set_xlabel('$\\gamma$')\n",
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"/tmp/ipykernel_64970/2098390987.py:12: SyntaxWarning: invalid escape sequence '\\s'\n",
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" ax1.set_ylabel('$s^\\star$')\n",
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"/tmp/ipykernel_64970/2098390987.py:20: SyntaxWarning: invalid escape sequence '\\d'\n",
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" ax2.set_xlabel('$\\delta / N_0$')\n",
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"/tmp/ipykernel_64970/2098390987.py:21: SyntaxWarning: invalid escape sequence '\\s'\n",
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" ax2.set_ylabel('$s^\\star$')\n",
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"/tmp/ipykernel_64970/2098390987.py:6: RuntimeWarning: invalid value encountered in sqrt\n",
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" s_1 = -beta / (2 * alpha) * (1 + np.sqrt(1 - 4 * gamma_values * alpha / beta**2))\n",
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"/tmp/ipykernel_64970/2098390987.py:7: RuntimeWarning: invalid value encountered in sqrt\n",
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" s_2 = -beta / (2 * alpha) * (1 - np.sqrt(1 - 4 * gamma_values * alpha / beta**2))\n"
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]
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},
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{
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"data": {
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"image/png": 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|
|
"text/plain": [
|
|
"<Figure size 1200x600 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Plot results\n",
|
|
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6))\n",
|
|
"\n",
|
|
"# Gamma values and roots\n",
|
|
"gamma_values = np.linspace(0, 800, 10000)\n",
|
|
"s_1 = -beta / (2 * alpha) * (1 + np.sqrt(1 - 4 * gamma_values * alpha / beta**2))\n",
|
|
"s_2 = -beta / (2 * alpha) * (1 - np.sqrt(1 - 4 * gamma_values * alpha / beta**2))\n",
|
|
"ax1.plot(gamma_values, s_1, 'r', label='Unstable Mode')\n",
|
|
"ax1.plot(gamma_values, s_2, 'b', label='Stable Mode')\n",
|
|
"ax1.set_title('(A)')\n",
|
|
"ax1.set_xlabel('$\\gamma$')\n",
|
|
"ax1.set_ylabel('$s^\\star$')\n",
|
|
"ax1.legend()\n",
|
|
"ax1.grid('on')\n",
|
|
"\n",
|
|
"# Delta vs Roots\n",
|
|
"ax2.plot(delta_values / N_0, roots[:,0], 'r', label='Unstable Mode')\n",
|
|
"ax2.plot(delta_values / N_0, roots[:,1], 'b', label='Stable mode')\n",
|
|
"ax2.set_title('(B)')\n",
|
|
"ax2.set_xlabel('$\\delta / N_0$')\n",
|
|
"ax2.set_ylabel('$s^\\star$')\n",
|
|
"ax2.legend()\n",
|
|
"ax2.grid('on')\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.show()\n",
|
|
"fig.savefig('figure4.png')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"id": "4e8800fc-0016-4fea-891f-eaa789e7e751",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"3.622701743303522e-07 0.024743415176937383\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"N_total = 68301\n",
|
|
"N_average = N_total/65*10 #Fudged. the paper is missing factor of 10\n",
|
|
"#Define parametrs\n",
|
|
"alpha = 40/N_average**2\n",
|
|
"beta = 260/N_average\n",
|
|
"print(alpha, beta)\n",
|
|
"gamma = 0\n",
|
|
"delta = 0\n",
|
|
"N_0 = 40000\n",
|
|
"\n",
|
|
"# Define s_dot function\n",
|
|
"def s_dot(t, s, beta, gamma, delta):\n",
|
|
" return alpha * s**2 + beta * s + gamma + delta / s\n",
|
|
"\n",
|
|
"def reach_sk(t, s):\n",
|
|
" s_k = 1/alpha\n",
|
|
" return s_k-s[0]\n",
|
|
"\n",
|
|
"reach_sk.terminal = True"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"id": "87f6e940-844a-4511-ae68-124ab128d501",
|
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"metadata": {},
|
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"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
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"text": [
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"<>:47: SyntaxWarning: invalid escape sequence '\\g'\n",
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"<>:74: SyntaxWarning: invalid escape sequence '\\d'\n",
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"<>:47: SyntaxWarning: invalid escape sequence '\\g'\n",
|
|
"<>:74: SyntaxWarning: invalid escape sequence '\\d'\n",
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"/tmp/ipykernel_64970/3632696374.py:47: SyntaxWarning: invalid escape sequence '\\g'\n",
|
|
" ax1.plot(np.array(beta_vals) * N_0, t_values, label=f'$\\gamma$ = {name}')\n",
|
|
"/tmp/ipykernel_64970/3632696374.py:74: SyntaxWarning: invalid escape sequence '\\d'\n",
|
|
" ax2.plot(np.array(beta_vals) * N_0, t_values, label=f'$\\delta / N_0$ = {name}')\n",
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"Processing gamma values: 0%| | 0/4 [00:00<?, ?it/s]\n",
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|
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]
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|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 1000x600 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"from scipy.integrate import solve_ivp\n",
|
|
"from concurrent.futures import ThreadPoolExecutor, as_completed\n",
|
|
"from tqdm import tqdm\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"\n",
|
|
"# Assuming these variables and functions are defined elsewhere in your code\n",
|
|
"# N_0, s_dot, reach_sk\n",
|
|
"\n",
|
|
"t_span = (0, 400)\n",
|
|
"\n",
|
|
"beta_values = np.linspace(-1500, 0, 2000) / N_0 # Adjust the range and number as needed\n",
|
|
"delta_values = np.asarray([0, 100, 500, 1000])*N_0\n",
|
|
"gamma_values = [0, 100, 500, 1000]\n",
|
|
"\n",
|
|
"# Function to solve ODE for a single (beta, gamma, delta) combination\n",
|
|
"def solve_single_case(beta, gamma, delta):\n",
|
|
" sol = solve_ivp(\n",
|
|
" fun=lambda t, s: s_dot(t, s, beta, gamma, delta),\n",
|
|
" t_span=t_span,\n",
|
|
" y0=[N_0],\n",
|
|
" method='RK45',\n",
|
|
" events=reach_sk\n",
|
|
" )\n",
|
|
" return sol.t[-1] # Replace with `sol[-1, 0]` if needed\n",
|
|
"\n",
|
|
"# Multithreading with progress tracking for the first graph\n",
|
|
"max_ts_gamma = {}\n",
|
|
"for gamma in tqdm(gamma_values, desc=\"Processing gamma values\"):\n",
|
|
" with ThreadPoolExecutor() as executor:\n",
|
|
" futures = {executor.submit(solve_single_case, beta, gamma, 0): beta for beta in beta_values}\n",
|
|
" t_betas = []\n",
|
|
" for future in tqdm(as_completed(futures), total=len(futures), desc=f\"Gamma = {gamma}\", leave=False):\n",
|
|
" beta = futures[future] # Retrieve the associated beta value\n",
|
|
" t_value = future.result()\n",
|
|
" t_betas.append((beta, t_value)) # Store as tuple\n",
|
|
" # Filter and sort by beta\n",
|
|
" t_betas = [(beta, t_value) for beta, t_value in t_betas if t_value <= 399.9]\n",
|
|
" t_betas.sort(key=lambda x: x[0])\n",
|
|
" max_ts_gamma[f'{gamma}'] = t_betas\n",
|
|
"\n",
|
|
"# Plotting the first graph\n",
|
|
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 6))\n",
|
|
"for name in max_ts_gamma:\n",
|
|
" if max_ts_gamma[name]: # Skip empty data\n",
|
|
" beta_vals, t_values = zip(*max_ts_gamma[name]) # Unpack filtered and sorted tuples\n",
|
|
" ax1.plot(np.array(beta_vals) * N_0, t_values, label=f'$\\gamma$ = {name}')\n",
|
|
"\n",
|
|
"ax1.set_xlabel(r\"$\\beta N_0$\")\n",
|
|
"ax1.set_ylabel(\"$t_k$ (yrs)\")\n",
|
|
"ax1.set_title(\"(a)\")\n",
|
|
"ax1.legend()\n",
|
|
"\n",
|
|
"# Multithreading with progress tracking for the second graph\n",
|
|
"max_ts_delta = {}\n",
|
|
"gamma = 0\n",
|
|
"for delta in tqdm(delta_values, desc=\"Processing delta values\"):\n",
|
|
" with ThreadPoolExecutor() as executor:\n",
|
|
" futures = {executor.submit(solve_single_case, beta, gamma, delta): beta for beta in beta_values}\n",
|
|
" t_betas = []\n",
|
|
" for future in tqdm(as_completed(futures), total=len(futures), desc=f\"Delta = {delta/N_0}\", leave=False):\n",
|
|
" beta = futures[future] # Retrieve the associated beta value\n",
|
|
" t_value = future.result()\n",
|
|
" t_betas.append((beta, t_value)) # Store as tuple\n",
|
|
" # Filter and sort by beta\n",
|
|
" t_betas = [(beta, t_value) for beta, t_value in t_betas if t_value <= 399.9]\n",
|
|
" t_betas.sort(key=lambda x: x[0])\n",
|
|
" max_ts_delta[f'{delta/N_0}'] = t_betas\n",
|
|
"\n",
|
|
"# Plotting the second graph\n",
|
|
"for name in max_ts_delta:\n",
|
|
" if max_ts_delta[name]: # Skip empty data\n",
|
|
" beta_vals, t_values = zip(*max_ts_delta[name]) # Unpack filtered and sorted tuples\n",
|
|
" ax2.plot(np.array(beta_vals) * N_0, t_values, label=f'$\\delta / N_0$ = {name}')\n",
|
|
"\n",
|
|
"ax2.set_xlabel(r\"$\\beta N_0$\")\n",
|
|
"ax2.set_ylabel(\"$t_k$ (yrs)\")\n",
|
|
"ax2.set_title(\"(b)\")\n",
|
|
"ax2.legend()\n",
|
|
"\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"id": "09b68327-d3a3-434a-8996-f30d83cff3a6",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"fig.savefig('figure5.png')"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.12.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|