Добавил подробное решение заданий из третьей лабы

1 files changed, 36 insertions, 0 deletions

diff --git a/lab3/task1-generate.py b/lab3/task1-generate.py
new file mode 100644
index 0000000..80a746e
--- /dev/null
+++ b/lab3/task1-generate.py
@@ -0,0 +1,36 @@
+import numpy as np
+
+d = {'a': 0, 'b': 1, 'c': 2, 'd': 3}
+d1 = 'abcd'
+n = len(d)
+cayley = [
+    list("abab"),
+    list("abab"),
+    list("abcd"),
+    list("abcd"),
+]
+
+for i in range(n):
+    for j in range(n):
+        elem = cayley[i][j]
+        cayley[i][j] = d[elem]
+
+cayley = np.array(cayley, dtype=int)
+
+for i in range(n):
+    for j in range(n):
+        for k in range(n):
+            p = cayley[j, i]
+            q = cayley[i, k]
+            pk = cayley[p, k]
+            jq = cayley[j, q]
+            print("\\begin{align*}")
+            print(f"    \\text{{Рассмотрим }} &i = {i}, \\, j = {j} \\\\")
+            print(f"    &k = {k} \\\\")
+            print(f"    &m_{{ji}} = {d1[p]}, m_{{ik}} = {d1[q]} \\\\")
+            print(f"    &(\\text{{Индекс }} m_{{ji}}) = p = {p}, \\, (\\text{{индекс }} m_{{ik}}) = q = {q} \\\\")
+            print(f"    &m_{{pk}} = {d1[pk]}, \\, m_{{jq}} = {d1[jq]} \\\\")
+            if pk != jq:
+                raise ValueError("что-то пошло не так...")
+            print(f"    &\\text{{Можно заметить, что }} m_{{pk}} = m_{{jq}}")
+            print("\\end{align*}")
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