Serie 03

Kuengjoe_S03/Kuengjoe_S03_Aufg3b.py

@@ -0,0 +1,45 @@
+
+import numpy as np
+import matplotlib.pyplot as plt
+
+def f(x):
+    return 5.0 * (2.0 * x**2)**(-1.0/3.0)
+
+def g(x):
+    return 10.0**5 * (2.0 * np.e)**(-x/100.0)
+
+
+def h_exp(x):
+    return (625.0/64.0)**x
+
+# (i)
+x1 = np.logspace(-3, 2, 4000)  # 0.001 ... 100
+y1 = f(x1)
+plt.figure()
+plt.loglog(x1, y1)
+plt.title("Aufg. 3b (i) – f(x) as straight line in log-log")
+plt.xlabel("x")
+plt.ylabel("f(x)")
+plt.grid(True, which="both")
+
+# (ii)
+x2 = np.linspace(1e-6, 100.0, 4000)
+y2 = g(x2)
+plt.figure()
+plt.semilogy(x2, y2)
+plt.title("Aufg. 3b (ii) – g(x) as straight line in semilog-y")
+plt.xlabel("x")
+plt.ylabel("g(x)")
+plt.grid(True, which="both")
+
+# (iii)
+x3 = np.linspace(1e-6, 100.0, 4000)
+y3 = h_exp(x3)
+plt.figure()
+plt.semilogy(x3, y3)
+plt.title("Aufg. 3b (iii) – h(x) as straight line in semilog-y")
+plt.xlabel("x")
+plt.ylabel("h(x)")
+plt.grid(True, which="both")
+
+plt.show()