Serie 4 Aufgabe 3. Summen berechnen.

Skript berechnet mit Simpy Summen aus. Stellt sie mit Latex Formatierung (Summenzeichen = Summe) in einem interaktiven Fenster dar.

reihen/serie_4_3.py

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+# %%
+import sympy as sp
+from IPython.display import display, Math
+
+# Define the symbolic variable
+k = sp.symbols("k")
+
+# List of operations: each entry is [expression, (variable, lower_bound, upper_bound)]
+operations = [
+    [k, (k, 4, 10)],
+    [2 * k, (k, 4, 10)],
+    [k**3, (k, -2, 2)],
+    [1 / k, (k, 2, 4)],
+    [2**k, (k, 0, 4)],
+    [(-1) ** k, (k, 4, 9)],
+]
+
+for operation in operations:
+    # Build the symbolic Sum object (Σ notation)
+    # *operation unpacks the list into separate arguments: expression, bounds
+    summenzeichen = sp.Sum(*operation)
+
+    # Compute the actual numeric result of the summation
+    summe = sp.summation(*operation)
+
+    # Convert both to LaTeX strings, join them with "=",
+    # wrap in Math() for rendering, and display in the interactive window
+    display(Math(r"{} = {}".format(sp.latex(summenzeichen), sp.latex(summe))))