continued with task 4

Schenk_Brandenberger_S3_Aufg4.py

@@ -2,27 +2,46 @@ import numpy as np
 import matplotlib.pyplot as plt
 import math
 
+
 def h1(x):
-    return math.sqrt(100 * math.pow(x,2) - 200 * x + 99)
+    try:
+        return math.sqrt(100 * math.pow(x, 2) - 200 * x + 99)
+    except:
+        return
+
 
 def h1_diff(x):
     return (100 * x - 100) / math.sqrt(100 * math.pow(x, 2) - 200 * x + 99)
 
+
 def h2(x):
     return math.sqrt((10 * x - 9) * (10 * x - 11))
 
-xStep = math.pow(10,-7)
-xStart = 1.1 + xStep
+
+def kondnumb(x):
+    return (np.abs(h1_diff(x)) * np.abs(x)) / np.abs(h1(x))
+
+
+xStep = math.pow(10, -7)
+xStart = 1.1
 xStop = 1.31
 
-
-x = np.arange(xStart,xStop + xStep,xStep)
+x = np.arange(xStart, xStop + xStep, xStep)
 y1 = [h1(x_val) for x_val in x]
 y2 = [h2(x_val) for x_val in x]
 
+y3 = [kondnumb(x_val) for x_val in x]
+
+plt.yscale('log', base=10)
+plt.plot(x, y3, label='Konditionszahl')
+plt.title('4.b)')
+plt.legend()
+plt.figure()
+
 plt.plot(x, y1, label='h1(x)')
 plt.plot(x, y2, label='h2(x)')
-plt.yscale('log', base=10)
+plt.xlim(1.099, 1.101)
+
 plt.legend()
 plt.show()