高等数学以及Python 实现

 1 import numpy as np
 2 import pandas as pd
 3 import matplotlib.pyplot as plt
 4 
 5 import warnings
 6 warnings.filterwarnings(‘ignore‘)  #不发出警告
 7 
 8 #映射与函数
 9 #幂函数
10 if 0:
11     x = np.linspace(-np.pi,2*np.pi,num = 50)
12     y = x**2
13 
14     plt.scatter(x,y,marker=‘.‘)
15     plt.plot(x,y)
16 
17     #辅助线
18     plt.axvline(0,color =‘cyan‘,linestyle = ‘--‘,alpha = 0.8)
19     plt.axhline(0,color=‘cyan‘,linestyle=‘--‘,alpha = 0.8)
20 
21 
22     plt.show()
23     pass
24 #指数函数
25 if 0:
26     x = np.linspace(-np.pi,2*np.pi,num = 50)
27     y = 2**x  #指数函数
28 
29     plt.scatter(x,y,marker=‘.‘)
30     plt.plot(x,y)
31 
32     plt.axhline(0,color=‘cyan‘,linestyle=‘--‘,alpha = 0.8)
33     plt.axvline(0,color=‘cyan‘,linestyle=‘--‘,alpha = 0.8)
34 
35     plt.show()
36     pass
37 
38 #对数函数
39 if 0:
40     x = np.linspace(-np.pi,2*np.pi,num= 50)
41     y = np.log2(x)
42 
43     plt.scatter(x,y,marker = ‘.‘)
44     plt.plot(x,y)
45 
46     plt.axhline(0,color=‘cyan‘,linestyle = ‘--‘,alpha = 0.8)
47     plt.axvline(0,color=‘cyan‘,linestyle = ‘--‘,alpha = 0.8)
48 
49     plt.show()
50 
51 
52 
53     pass
54 
55 #三角函数
56 if 0:
57     x = np.linspace(-np.pi,2*np.pi,num=50)
58     y = np.sin(x)
59 
60     plt.scatter(x,y,marker =‘.‘)
61     plt.plot(x,y)
62 
63     plt.axhline(0,color = ‘cyan‘,linestyle =‘--‘,alpha = 0.8)
64     plt.axvline(0,color=‘cyan‘,linestyle = ‘--‘,alpha = 0.8)
65 
66     plt.show()
67 
68     pass
69 
70 #反三角函数
71 if 0:
72     #f = arcsin(x)
73     x = np.linspace(-np.pi,2*np.pi,num = 100)
74     y = np.arccos(x)
75 
76     plt.scatter(x,y,marker = ‘.‘)
77     plt.plot(x,y)
78 
79     plt.axhline(0,color=‘cyan‘,linestyle=‘--‘,alpha = 0.8)
80     plt.axvline(0,color=‘cyan‘,linestyle=‘--‘,alpha = 0.8)
81 
82     plt.show()
83     pass

 1 import numpy as np
 2 import pandas as pd
 3 import matplotlib.pyplot as plt
 4 
 5 # import warnings
 6 # warnings.filterwarnings(‘ignore‘)  #不发出警告
 7 
 8 #数列  x/(x+1)  的极限
 9 if 0:
10     x  = np.arange(50)
11     y = x/(x+1)
12 
13     plt.scatter(x,y,marker = ‘.‘)
14     plt.plot(x,y)
15 
16     plt.axvline(0,color=‘cyan‘,linestyle=‘--‘,alpha = 0.8)
17     plt.axhline(0,color=‘cyan‘,linestyle=‘--‘,alpha = 0.8)
18 
19     plt.show()
20 
21     pass
22 
23 #函数的极限
24 if 0:
25     x = np.linspace(-2,2,num=100)
26     y = x**2 -1
27 
28     plt.scatter(x,y,marker = ‘.‘)
29     plt.plot(x,y)
30 
31     plt.axvline(0,color=‘cyan‘,linestyle=‘--‘)
32     plt.axhline(0,color=‘cyan‘,linestyle=‘--‘)
33 
34     #极限值
35     plt.axhline(-1,color=‘red‘,linestyle = ‘--‘)
36     plt.show()
37     pass
38 
39 
40 #练习 ：极限
41 #函数的极限
42 if 1:
43     x = np.arange(1,50)
44     y = (2*x+1)/x
45 
46     plt.scatter(x,y,marker = ‘.‘)
47     plt.plot(x,y)
48 
49     # plt.axhline(2)  #默认颜色是类似于  cyan
50     plt.axhline(2,color=‘red‘) #默认是直线
51 
52 
53     plt.show()
54     pass