358 lines
6.9 KiB
Python
358 lines
6.9 KiB
Python
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#%%
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# Numpy initialisieren
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import numpy as np
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import matplotlib.pyplot as plt
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#%%
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print("Aufgabe 2")
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print(f"a) {1/3}")
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print(f"b) {2/3}")
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print(f"c) {1/7}")
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print(f"d) {1-0.9999}")
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print(f"e) {1-0.999999999999}")
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print(f"f) {((1/2) - np.sin(np.pi/6)) ** (1/4)}")
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#%%
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print("Aufgabe 6")
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print(f"a) {np.power(np.array([45.6]), 3)}")
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print(f"b) {np.sqrt(3)}")
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print(f"c) {np.power(np.array([2]), (1/5))}")
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print(f"d) {np.power(np.array([5.654 * np.power(np.array([10]), 24)]), (1/7))}")
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print(f"e) {np.power(np.array([44.5]), (5/9))}")
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print(f"f) {4 * np.pi}")
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print(f"g) {np.sin(5 * np.pi / 4)}")
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print(f"h) {1 / np.tan(-3 * np.pi / 5)}")
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print(f"i) {np.tan(np.radians(77))}")
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print(f"j) {np.arccos(-0.45)}")
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print(f"k) {1 / np.arctan(34.1)}")
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print(f"l) {np.power(np.array([np.e]), -3.34)}")
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print(f"m) {np.e}")
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print(f"n) {np.log(13.2)}")
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print(f"o) {np.log10(23)}")
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print(f"p) {np.log2(69.6)}")
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# %%
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print("Aufgabe 7")
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# Parameter
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a = 12.3, b = 8.14, pr = 3, ME = "cm"
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# Berechnungen
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c = np.sqrt(a**2+b**2)
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# Ausgabe
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print("----------------------------------------------------------------------")
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print(__file__)
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print("----------------------------------------------------------------------")
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print(f"Seite a = {a:#.{pr}g} {ME}")
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print(f"Seite b = {b:#.{pr}g} {ME}")
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print(f"Seite c = {c:#.{pr}g} {ME}")
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print("----------------------------------------------------------------------")
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# %%
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print("Aufgabe 7.d)")
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# Parameter
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a = 0.85e3; pr_a = 2; sc_a = 1.0e-3; ME_a = "km";\
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b = 234; pr_b = 3; sc_b = 1.0; ME_b = "m";\
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pr_c = 2; sc_c = 1.0e-3; ME_c = "km";\
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# Berechnungen
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c = np.sqrt(a**2+b**2)
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# Ausgabe
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print("----------------------------------------------------------------------")
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print(__file__)
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print("----------------------------------------------------------------------")
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print(f"Seite a = {a*sc_a:#.{pr_a}g} {ME_a}")
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print(f"Seite b = {b*sc_b:#.{pr_b}g} {ME_b}")
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print(f"Seite c = {c*sc_c:#.{pr_c}g} {ME_c}")
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print("----------------------------------------------------------------------")
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# %%
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print("Aufgabe 8")
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# Python konfigurieren
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plt.close("all")
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plt.rcParams["figure.figsize"] = (7.03,15)
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plt.rcParams["font.size"] = 9
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plt.rcParams["font.family"] = "serif"
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plt.rcParams["text.usetex"] = False
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# Parameter
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x_0 = 0
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x_E = 4
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N = 201
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lw = 3
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fig = 1
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# Funktionen
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def f(x):
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y = 3/(1+x)
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return y
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def g(x):
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y = x/2
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return y
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# Daten
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x_data = np.linspace(x_0, x_E, N)
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f_data = f(x_data)
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g_data = g(x_data)
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# pltot
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fh = plt.figure(fig)
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plt.plot(x_data, f_data, linewidth = lw, label = r"$f$")
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plt.plot(x_data, g_data, "--", linewidth = lw, label = r"$g$")
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plt.xlabel(r"$x$")
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plt.ylabel(r"$y$")
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plt.legend()
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plt.grid(visible=True)
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plt.axis("image")
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# %%
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print("Aufgabe 8. d)")
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# Python konfigurieren
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plt.close("all")
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plt.rcParams["figure.figsize"] = (7.03,15)
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plt.rcParams["font.size"] = 9
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plt.rcParams["font.family"] = "serif"
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plt.rcParams["text.usetex"] = False
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# Parameter
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x_0 = 0
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x_E = 4
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N = 201
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lw = 3
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fig = 1
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# Funktionen
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def f(x):
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y = 3/(1+x)
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return y
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def g(x):
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y = x/2
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return y
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def h(x):
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y = x**2/8
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return y
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# Daten
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x_data = np.linspace(x_0, x_E, N)
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f_data = f(x_data)
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g_data = g(x_data)
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h_data = h(x_data)
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# pltot
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fh = plt.figure(fig)
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plt.plot(x_data, f_data, linewidth = lw, label = r"$f$")
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plt.plot(x_data, g_data, "--", linewidth = lw, label = r"$g$")
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plt.plot(x_data, h_data, "-.", linewidth = lw, label = r"$h$")
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plt.xlabel(r"$x$")
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plt.ylabel(r"$y$")
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plt.legend()
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plt.grid(visible=True)
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plt.axis("image")
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# %%
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print("Aufgabe 9. a)")
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# Python konfigurieren
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plt.close("all")
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plt.rcParams["figure.figsize"] = (7.03,15)
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plt.rcParams["font.size"] = 9
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plt.rcParams["font.family"] = "serif"
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plt.rcParams["text.usetex"] = False
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# Parameter
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x_0 = 0
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x_E = 2
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N = 201
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lw = 3
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fig = 1
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# Funktionen
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def f(x):
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y = 0.4*x+1
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return y
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# Daten
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x_data = np.linspace(x_0, x_E, N)
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f_data = f(x_data)
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# pltot
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fh = plt.figure(fig)
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plt.plot(x_data, f_data, linewidth = lw)
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plt.xlabel(r"$x$")
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plt.ylabel(r"$y$")
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plt.grid(visible=True)
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plt.axis("image")
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# %%
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print("Aufgabe 9. b)")
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# Python konfigurieren
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plt.close("all")
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plt.rcParams["figure.figsize"] = (7.03,15)
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plt.rcParams["font.size"] = 9
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plt.rcParams["font.family"] = "serif"
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plt.rcParams["text.usetex"] = False
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# Parameter
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x_0 = -2
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x_E = 2
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N = 201
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lw = 3
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fig = 1
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# Funktionen
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def f(x):
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y = x**2
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return y
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# Daten
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x_data = np.linspace(x_0, x_E, N)
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f_data = f(x_data)
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# pltot
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fh = plt.figure(fig)
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plt.plot(x_data, f_data, linewidth = lw)
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plt.xlabel(r"$x$")
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plt.ylabel(r"$y$")
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plt.grid(visible=True)
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plt.axis("image")
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# %%
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print("Aufgabe 9. c)")
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# Python konfigurieren
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plt.close("all")
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plt.rcParams["figure.figsize"] = (7.03,15)
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plt.rcParams["font.size"] = 9
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plt.rcParams["font.family"] = "serif"
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plt.rcParams["text.usetex"] = False
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# Parameter
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x_0 = -6
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x_E = 2
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N = 201
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lw = 3
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fig = 1
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# Funktionen
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def f(x):
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y = 2**x
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return y
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# Daten
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x_data = np.linspace(x_0, x_E, N)
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f_data = f(x_data)
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# pltot
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fh = plt.figure(fig)
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plt.plot(x_data, f_data, linewidth = lw)
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plt.xlabel(r"$x$")
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plt.ylabel(r"$y$")
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plt.grid(visible=True)
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plt.axis("image")
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# %%
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print("Aufgabe 9. d)")
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# Python konfigurieren
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plt.close("all")
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plt.rcParams["figure.figsize"] = (7.03,15)
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plt.rcParams["font.size"] = 9
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plt.rcParams["font.family"] = "serif"
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plt.rcParams["text.usetex"] = False
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# Parameter
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x_0 = 0.01
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x_E = 10
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N = 201
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lw = 3
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fig = 1
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# Funktionen
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def f(x):
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y = np.log10(x)
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return y
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# Daten
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x_data = np.linspace(x_0, x_E, N)
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f_data = f(x_data)
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# pltot
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fh = plt.figure(fig)
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plt.plot(x_data, f_data, linewidth = lw)
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plt.xlabel(r"$x$")
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plt.ylabel(r"$y$")
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plt.grid(visible=True)
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plt.axis("image")
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# %%
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print("Aufgabe 9. e)")
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# Python konfigurieren
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plt.close("all")
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plt.rcParams["figure.figsize"] = (7.03,15)
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plt.rcParams["font.size"] = 9
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plt.rcParams["font.family"] = "serif"
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plt.rcParams["text.usetex"] = False
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# Parameter
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x_0 = -1
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x_E = 4
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N = 201
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lw = 3
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fig = 1
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# Funktionen
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def f(x):
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y = 3/(x+2)
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return y
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# Daten
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x_data = np.linspace(x_0, x_E, N)
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f_data = f(x_data)
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# pltot
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fh = plt.figure(fig)
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plt.plot(x_data, f_data, linewidth = lw)
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plt.xlabel(r"$x$")
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plt.ylabel(r"$y$")
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plt.grid(visible=True)
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plt.axis("image")
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# %%
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print("Aufgabe 9. f)")
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# Python konfigurieren
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plt.close("all")
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plt.rcParams["figure.figsize"] = (7.03,15)
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plt.rcParams["font.size"] = 9
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plt.rcParams["font.family"] = "serif"
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plt.rcParams["text.usetex"] = False
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# Parameter
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x_0 = 0
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x_E = 4*np.pi
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N = 401
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N_t = 9
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lw = 3
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fig = 1
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# Funktionen
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def f(x):
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y = 2*np.sin(x)
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return y
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# Daten
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x_data = np.linspace(x_0, x_E, N)
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f_data = f(x_data)
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# pltot
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fh = plt.figure(fig)
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plt.plot(x_data, f_data, linewidth = lw)
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plt.xlabel(r"$x$")
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plt.ylabel(r"$y$")
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plt.xticks(np.linspace(x_0, x_E, N_t),("$0$", "$0.5\,\pi$",
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"$1.0\,\pi$", "$1.5\,\pi$",
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"$2.0\,\pi$", "$2.5\,\pi$",
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"$3.0\,\pi$", "$3.5\,\pi$",
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"$4.0\,\pi$"))
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plt.grid(visible=True)
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plt.axis("image") |