質問編集履歴
2
誤字の修正
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@@ -49,15 +49,15 @@
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c=2.99792458*1e+8
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q=1.6021766208*1e-19
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pa=math.pi/2
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pa=math.pi/2
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sin_pa=math.sin(pa)
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from sympy import *
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lf1=10
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lf1=10
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lf2=100
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lf3=1000
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B1=10*1e-6*1e-4
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B1=10*1e-6*1e-4
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B2=100*1e-6*1e-4
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omega_c1=3*lf1**2*q*B1*sin_pa/(2*m_e*c)
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追記
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@@ -35,4 +35,218 @@
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y = vec_A(xs,F,G,H)
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```
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ここから、x→ s/a1,s/a2 ~ みたいに変化させたいけど書き方の見当がつかない
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ここから、x→ s/a1,s/a2 ~ みたいに変化させたいけど書き方の見当がつかない
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```python
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from scipy.special import kv
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import matplotlib.pyplot as plt
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from scipy.integrate import quad
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import numpy as np
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import math
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from math import gamma
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m_e=9.10938356*1e-31
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c=2.99792458*1e+8
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q=1.6021766208*1e-19
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pa=math.pi/2#ピッチ角#
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sin_pa=math.sin(pa)
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from sympy import *
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lf1=10#ローレンツ因子#
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lf2=100
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lf3=1000
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B1=10*1e-6*1e-4#磁場#
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B2=100*1e-6*1e-4
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omega_c1=3*lf1**2*q*B1*sin_pa/(2*m_e*c)
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omega_c2=3*lf2**2*q*B1*sin_pa/(2*m_e*c)
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omega_c3=3*lf3**2*q*B1*sin_pa/(2*m_e*c)
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omega_c4=3*lf1**2*q*B2*sin_pa/(2*m_e*c)
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omega_c5=3*lf2**2*q*B2*sin_pa/(2*m_e*c)
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omega_c6=3*lf3**2*q*B2*sin_pa/(2*m_e*c)
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###################################################1#
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###x→ω x=x*ω_c#
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xs1 = np.linspace(1e-4*omega_c1, 1e2*omega_c1, 10000)
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f = lambda z: kv(5/3,z)
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F = [quad(f,x/omega_c1,np.inf)[0]*(x/omega_c1) for x in xs1]
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a = gamma(1/3)
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G = [(4*math.pi/np.sqrt(3)/a)*((x/omega_c1)/2)**(1/3) for x in xs1]
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H = [((math.pi/2)**(1/2))*((x/omega_c1)**(1/2))*(math.exp(-(x/omega_c1)))for x in xs1]
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def A(x,F,G,H):
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if (x/omega_c1) <= 5.0*1e-3:
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g =G
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elif 5.0*1e-3 < (x/omega_c1) < 30:
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g =F
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elif 30 <= (x/omega_c1):
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g =H
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return g
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vec_A = np.vectorize(A)
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y = vec_A(xs1,F,G,H)
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P1=(math.sqrt(3)*q**3*B1*sin_pa/(2*math.pi*m_e*c**2))*y
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###################################################2#
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xs2 = np.linspace(1e-4*omega_c2, 1e2*omega_c2, 10000)
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f = lambda z: kv(5/3,z)
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F = [quad(f,x/omega_c2,np.inf)[0]*(x/omega_c2) for x in xs2]
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a = gamma(1/3)
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G = [(4*math.pi/np.sqrt(3)/a)*((x/omega_c2)/2)**(1/3) for x in xs2]
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H = [((math.pi/2)**(1/2))*((x/omega_c2)**(1/2))*(math.exp(-(x/omega_c2)))for x in xs2]
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def A(x,F,G,H):
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if (x/omega_c2) <= 5.0*1e-3:
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g =G
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elif 5.0*1e-3 < (x/omega_c2) < 30:
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g =F
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elif 30 <= (x/omega_c2):
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g =H
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return g
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vec_A = np.vectorize(A)
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y = vec_A(xs2,F,G,H)
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P2=(math.sqrt(3)*q**3*B1*sin_pa/(2*math.pi*m_e*c**2))*y
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###################################################3#
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xs3 = np.linspace(1e-4*omega_c3, 1e2*omega_c3, 10000)
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f = lambda z: kv(5/3,z)
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F = [quad(f,x/omega_c3,np.inf)[0]*(x/omega_c3) for x in xs3]
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a = gamma(1/3)
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G = [(4*math.pi/np.sqrt(3)/a)*((x/omega_c3)/2)**(1/3) for x in xs3]
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H = [((math.pi/2)**(1/2))*((x/omega_c3)**(1/2))*(math.exp(-(x/omega_c3)))for x in xs3]
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def A(x,F,G,H):
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if (x/omega_c3) <= 5.0*1e-3:
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g =G
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elif 5.0*1e-3 < (x/omega_c3) < 30:
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g =F
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elif 30 <= (x/omega_c3):
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g =H
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return g
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vec_A = np.vectorize(A)
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y = vec_A(xs3,F,G,H)
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P3=(math.sqrt(3)*q**3*B1*sin_pa/(2*math.pi*m_e*c**2))*y
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###################################################4#
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xs4 = np.linspace(1e-4*omega_c4, 1e2*omega_c4, 10000)
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f = lambda z: kv(5/3,z)
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F = [quad(f,x/omega_c4,np.inf)[0]*(x/omega_c4) for x in xs4]
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a = gamma(1/3)
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G = [(4*math.pi/np.sqrt(3)/a)*((x/omega_c4)/2)**(1/3) for x in xs4]
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H = [((math.pi/2)**(1/2))*((x/omega_c4)**(1/2))*(math.exp(-(x/omega_c4)))for x in xs4]
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def A(x,F,G,H):
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if (x/omega_c4) <= 5.0*1e-3:
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g =G
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elif 5.0*1e-3 < (x/omega_c4) < 30:
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g =F
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elif 30 <= (x/omega_c4):
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g =H
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return g
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vec_A = np.vectorize(A)
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y = vec_A(xs4,F,G,H)
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P4=(math.sqrt(3)*q**3*B2*sin_pa/(2*math.pi*m_e*c**2))*y
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###################################################5#
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xs5 = np.linspace(1e-4*omega_c5, 1e2*omega_c5, 10000)
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f = lambda z: kv(5/3,z)
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F = [quad(f,x/omega_c5,np.inf)[0]*(x/omega_c5) for x in xs5]
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a = gamma(1/3)
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G = [(4*math.pi/np.sqrt(3)/a)*((x/omega_c5)/2)**(1/3) for x in xs5]
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H = [((math.pi/2)**(1/2))*((x/omega_c5)**(1/2))*(math.exp(-(x/omega_c5)))for x in xs5]
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def A(x,F,G,H):
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if (x/omega_c5) <= 5.0*1e-3:
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g =G
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elif 5.0*1e-3 < (x/omega_c5) < 30:
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g =F
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elif 30 <= (x/omega_c5):
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g =H
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return g
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vec_A = np.vectorize(A)
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y = vec_A(xs5,F,G,H)
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P5=(math.sqrt(3)*q**3*B2*sin_pa/(2*math.pi*m_e*c**2))*y
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###################################################6#
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xs6= np.linspace(1e-4*omega_c6, 1e2*omega_c6, 10000)
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f = lambda z: kv(5/3,z)
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F = [quad(f,x/omega_c6,np.inf)[0]*(x/omega_c6) for x in xs6]
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a = gamma(1/3)
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G = [(4*math.pi/np.sqrt(3)/a)*((x/omega_c6)/2)**(1/3) for x in xs6]
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H = [((math.pi/2)**(1/2))*((x/omega_c6)**(1/2))*(math.exp(-(x/omega_c6)))for x in xs6]
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def A(x,F,G,H):
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if (x/omega_c6) <= 5.0*1e-3:
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g =G
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elif 5.0*1e-3 < (x/omega_c6) < 30:
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g =F
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elif 30 <= (x/omega_c6):
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g =H
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return g
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vec_A = np.vectorize(A)
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y = vec_A(xs6,F,G,H)
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P6=(math.sqrt(3)*q**3*B2*sin_pa/(2*math.pi*m_e*c**2))*y
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#####################################################
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fig = plt.figure()
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231
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ax = fig.add_subplot(1,1,1)
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232
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ax.grid()
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233
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ax.set_xlim(1e-4*omega_c1, 10000*1e2*omega_c1)
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234
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ax.set_ylim(1e-3*(math.sqrt(3)*q**3*B1*sin_pa/(2*math.pi*m_e*c**2)), 100*1e0*(math.sqrt(3)*q**3*B1*sin_pa/(2*math.pi*m_e*c**2)))
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ax.set_yscale('log')
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236
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ax.set_xscale('log')
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237
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ax.set_title('')
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238
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ax.set_xlabel('ω')
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239
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ax.set_ylabel('P')
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240
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ax.plot(xs1,P1,"c",label="1")
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241
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ax.plot(xs2,P2,"r",label="2")
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242
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ax.plot(xs3,P3,"g",label="3")
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243
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ax.plot(xs4,P4,"b",label="4")
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244
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ax.plot(xs5,P5,"black",label="5")
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245
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ax.plot(xs6,P6,"y",label="6")
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246
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ax.legend()
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247
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248
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plt.show
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249
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```
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250
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+
上記の書き方では、狙っているような変換ができず、プロットされる。
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251
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252
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