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Home » استخدم نظرية فيثاغورس: \( l^2 + 5^2 = 13^2 \) - go-checkin.com

استخدم نظرية فيثاغورس: \( l^2 + 5^2 = 13^2 \) - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 FÃ¼r $ x \in \mathbb{Z} \setminus \{0, \pm1\} $: WÃ¤hle $ y = x $. Dann $ x \mid y $ ist wahr. Aber $ y \mid x $ â $ x \mid x $: wahr, aber hier ist die Implikation:

📌 $ (x \mid y \Rightarrow y \mid x) $ ist wahr, denn $ y \mid x $ und $ x \mid y $ both true.

📌 BUT: $ x \mid 0 $?

📌 $ x \mid 0 $ ist wahr fÃ¼r **jedes** $ x $, da $ 0 = 0 \cdot x $. So $ x \mid 0 $ gilt immer.

📌 Wait â ist die Implikation also **immer wahr**?

📌 PrÃ¤misse: $ orall y,\ (x \mid y \Rightarrow y \mid x) $ â ist dies fÃ¼r beliebige $ x $ wahr?

📌 FÃ¼r $ x = 5 $: $ x \mid y \Rightarrow y \mid 5 $?

📌 Nehmen wir $ y = 10 $: $ 5 \mid 10 $: wahr. $ 10 \mid 5 $? Nein (10 â¤ 5). Also Implikation falsch. â PrÃ¤misse falsch.

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