57 lines
1.0 KiB
Python
57 lines
1.0 KiB
Python
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from matplotlib import pyplot as plt
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import numpy as np
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fig = plt.figure(figsize=(7, 4))
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plt.grid(linestyle='--')
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plt.xlabel('m', fontsize=15)
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plt.ylabel('r^2, mm^2', fontsize=15)
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r = [9, 15, 19, 23, 26.5]
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r2 = [9, 12, 17, 20.5, 23.5]
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r3 = []
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err = [3, 3, 2, 2, 2, 2, 1.5, 1.5, 1.5, 1.5]
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for i in range(5):
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r3.append(r[i]**2)
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r3.append(r2[i]**2)
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for i in range(10):
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print(r3[i])
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err2 = []
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for i in range(10):
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err2.append(2*np.sqrt(r3[i])*err[i])
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print(err2)
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m = [1, 1, 2, 2, 3, 3, 4, 4, 5, 5]
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plt.errorbar(m, r3, xerr=0, yerr=err2, fmt='o', linewidth=1)
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def MNK(m, r2):
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#r2 = r**2
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up = 0
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down = 0
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up2 = 0
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down2 = 0
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for i in range(10):
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up+=m[i]*r2[i]
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down+=m[i]**2
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up2+=r2[i]**2
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down2+=m[i]**2
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k=up/down
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print(k, 1/np.sqrt(10)*np.sqrt(up2/down2-k**2))
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MNK(m, r3)
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x = np.linspace(1, 5, 10)
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y = 117.45*x
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plt.plot(x, y, linewidth=2, label='k = 117$\pm 5$')
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plt.title('МНК приближение')
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plt.legend(loc='upper center', fontsize=15)
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plt.show()
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