Skip to content

Instantly share code, notes, and snippets.

@AvverbioPronome
Last active October 26, 2018 09:23
Show Gist options
  • Save AvverbioPronome/571300949eaa7380fcb5f13714932ad3 to your computer and use it in GitHub Desktop.
Save AvverbioPronome/571300949eaa7380fcb5f13714932ad3 to your computer and use it in GitHub Desktop.
Pendolo.ipynb and related data
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np, matplotlib.pyplot as plt\n",
"periodi = np.loadtxt('pendolo-comune.tsv').flatten()\n",
"chiodini = np.loadtxt('chiodinirawdata.data').flatten()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"plt.rc('figure', figsize=(12,8))\n",
"plt.style.use('fivethirtyeight')\n",
"\n",
"def do_the_plot(data, initial_guess):\n",
" from scipy.stats import norm\n",
" plt.hist(data, density=True)\n",
" mu, sigma = norm.fit(data, p0=initial_guess)\n",
" x=np.linspace(np.min(data),np.max(data),100000)\n",
" print (\"mu = {:.2f}, sigma = {:.2f}\".format(mu, sigma))\n",
" return plt.plot(x, norm.pdf(x, mu, sigma)), (mu, sigma)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mu = 1.56, sigma = 0.05\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"do_the_plot(periodi, [1.5, 0.01])\n",
"plt.xlabel('Periodo [s]'); plt.ylabel('Densità di probabilità')\n",
"plt.title('Il primo dei pendoli.')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mu = 16.94, sigma = 0.45\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"do_the_plot(chiodini, initial_guess=[17,1])\n",
"plt.xlabel('Lunghezza [mm]'); plt.ylabel('Densità di probabilità')\n",
"plt.title('I famosi chiodini.')\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
16.65
16.65
16.65
16.65
16.65
16.65
17.45
17.45
17.45
17.45
17.45
17.10
17.10
17.10
17.10
17.10
17.10
17.10
17.10
17.10
17.10
17.10
17.10
17.10
17.10
17.10
16.90
16.90
16.90
16.90
16.90
16.90
16.90
16.90
16.90
16.90
16.90
16.90
16.90
16.90
16.90
16.90
16.90
16.90
16.90
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.20
17.40
17.40
17.40
17.40
17.40
17.40
17.40
17.40
17.40
17.40
17.40
17.40
17.40
17.40
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.30
17.35
17.35
17.35
17.35
17.35
17.35
17.35
17.35
17.35
17.35
17.35
17.35
17.35
17.35
17.35
16.60
16.60
16.60
16.60
16.60
16.60
16.60
16.60
16.50
16.50
16.50
16.50
16.50
16.50
16.50
16.50
16.50
16.50
17.25
17.25
17.25
17.25
17.25
17.25
17.25
17.25
17.25
17.25
17.25
17.15
17.15
17.15
17.15
17.15
17.15
17.15
17.15
17.15
17.15
17.15
16.85
16.85
16.85
16.85
16.85
16.85
16.85
16.85
16.85
17.05
17.05
17.05
17.05
17.05
17.05
17.05
16.75
16.75
16.75
16.75
16.75
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.00
17.50
17.50
17.50
17.50
16.80
16.80
16.80
16.80
16.80
16.80
16.80
16.80
16.80
16.80
16.80
16.25
16.25
16.25
16.25
17.55
17.55
16.70
16.70
16.70
16.70
16.70
16.70
16.70
16.70
16.95
16.95
16.95
16.95
16.10
16.10
16.10
16.10
16.10
16.00
16.00
16.00
16.3
16.3
15.25
16.20
16.20
16.20
16.20
15.90
15.90
15.90
15.85
16.35
16.35
16.35
14.70
15.95
15.95
15.10
16.05
17.60
16.40
16.40
16.40
16.40
15.40
16.45
16.45
15.65
16.55
17.65
1.565 1.573 1.575 1.570 1.574 1.584 1.573 1.587 1.564 1.567
1.573 1.668 1.560 1.584 1.569 1.589 1.562 1.587 1.562 1.573
1.558 1.550 1.562 1.594 1.574 1.587 1.569 1.511 1.587 1.593
1.508 1.510 1.513 1.511 1.506 1.532 1.525 1.541 1.504 1.530
1.573 1.547 1.582 1.581 1.538 1.577 1.582 1.556 1.585 1.582
1.543 1.538 1.556 1.573 1.573 1.549 1.567 1.578 1.571 1.599
1.567 1.572 1.561 1.587 1.582 1.575 1.559 1.599 1.579 1.585
1.572 1.572 1.579 1.609 1.587 1.573 1.598 1.590 1.584 1.565
1.582 1.577 1.580 1.584 1.592 1.579 1.582 1.587 1.571 1.585
1.519 1.556 1.544 1.525 1.475 1.538 1.569 1.563 1.556 1.569
1.566 1.580 1.515 1.574 1.565 1.581 1.569 1.570 1.597 1.524
1.572 1.580 1.553 1.574 1.566 1.595 1.569 1.550 1.592 1.565
1.560 1.550 1.570 1.580 1.570 1.570 1.580 1.580 1.590 1.580
1.578 1.567 1.584 1.583 1.569 1.504 1.420 1.602 1.592 1.572
1.558 1.570 1.583 1.571 1.591 1.581 1.581 1.570 1.573 1.573
1.540 1.550 1.570 1.570 1.560 1.580 1.590 1.570 1.560 1.550
1.540 1.560 1.560 1.570 1.570 1.580 1.570 1.570 1.600 1.580
1.560 1.560 1.570 1.580 1.570 1.570 1.560 1.570 1.570 1.570
1.570 1.580 1.580 1.580 1.580 1.590 1.590 1.590 1.590 1.580
1.572 1.569 1.574 1.574 1.572 1.585 1.581 1.587 1.585 1.571
1.56 1.57 1.58 1.56 1.59 1.58 1.59 1.59 1.57 1.59
1.56 1.573 1.563 1.54 1.573 1.575 1.582 1.582 1.571 1.567
1.540 1.550 1.540 1.550 1.570 1.560 1.570 1.570 1.580 1.560
1.569 1.574 1.580 1.587 1.567 1.584 1.604 1.595 1.569 1.579
1.409 1.478 1.415 1.580 1.562 1.578 1.617 1.571 1.417 1.567
1.554 1.578 1.581 1.585 1.574 1.579 1.579 1.559 1.598 1.587
1.579 1.577 1.549 1.593 1.595 1.572 1.569 1.574 1.558 1.580
1.566 1.581 1.571 1.539 1.575 1.560 1.550 1.565 1.591 1.565
1.540 1.570 1.570 1.560 1.570 1.560 1.580 1.580 1.570 1.560
1.560 1.560 1.570 1.560 1.570 1.560 1.580 1.580 1.570 1.560
1.421 1.387 1.434 1.320 1.587 1.594 1.432 1.496 1.412 1.431
1.575 1.578 1.535 1.542 1.556 1.591 1.556 1.510 1.593 1.575
1.575 1.584 1.563 1.541 1.571 1.563 1.585 1.575 1.575 1.563
1.564 1.564 1.565 1.565 1.565 1.566 1.568 1.571 1.572 1.572
1.535 1.563 1.570 1.571 1.550 1.577 1.577 1.553 1.565 1.582
1.560 1.550 1.580 1.570 1.570 1.560 1.560 1.570 1.570 1.570
1.562 1.575 1.535 1.566 1.603 1.566 1.588 1.609 1.582 1.588
1.562 1.561 1.577 1.563 1.545 1.556 1.547 1.570 1.557 1.593
1.569 1.560 1.572 1.587 1.566 1.552 1.571 1.587 1.814 1.590
1.582 1.575 1.578 1.557 1.556 1.581 1.541 1.546 1.562 1.572
1.567 1.588 1.544 1.562 1.584 1.574 1.572 1.559 1.572 1.559
1.541 1.550 1.565 1.524 1.568 1.582 1.591 1.568 1.584 1.608
1.550 1.534 1.569 1.584 1.578 1.594 1.590 1.588 1.616 1.607
1.584 1.585 1.595 1.578 1.646 1.550 1.566 1.509 1.429 1.589
1.478 1.418 1.460 1.432 1.400 1.491 1.419 1.480 1.486 1.412
1.572 1.588 1.557 1.560 1.559 1.582 1.579 1.587 1.562 1.506
1.509 1.525 1.528 1.441 1.443 1.459 1.453 1.596 1.525 1.506
1.563 1.575 1.570 1.572 1.568 1.938 1.578 1.437 1.441 1.534
1.573 1.525 1.575 1.579 1.559 1.550 1.587 1.575 1.594 1.572
1.563 1.571 1.559 1.560 1.534 1.543 1.585 1.590 1.540 1.540
1.425 1.728 1.710 1.713 1.431 1.423 1.438 1.735 1.735 1.733
1.384 1.431 1.434 1.394 1.418 1.413 1.437 1.450 1.425 1.437
1.575 1.407 1.578 1.565 1.425 1.572 1.578 1.565 1.568 1.497
1.623 1.389 1.447 1.530 1.400 1.413 1.589 1.439 1.585 1.579
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment