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Home » Also: falsz â wahr = wahr â gesamte Aussage wahr - DNSFLEX

Also: falsz â wahr = wahr â gesamte Aussage wahr - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 S = 1 + 2\left( \frac{b + z}{a} + \frac{z}{b} - \frac{z}{a + b} \right)

📌 = 1 + 2z\left( \frac{1}{a} + \frac{1}{b} - \frac{1}{a + b} \right) + 2\frac{b}{a}

📌 This still depends on \( z \). But since the original expression is homogeneous (scaling \( x, y, z \) by a constant does not change the value), we can set \( z = 1 \) without loss of generality.

📌 Let \( z = 1 \), \( y = 1 + b \), \( x = 1 + b + a \), with \( a, b > 0 \). Then:

📌 S = 1 + 2\left( \frac{1 + b}{a} + \frac{1}{b} - \frac{1}{a + b} \right)

📌 Now define:

📌 f(a, b) = \frac{1 + b}{a} + \frac{1}{b} - \frac{1}{a + b}

📌 We seek to minimize \( S = 1 + 2f(a, b) \), so minimize \( f(a, b) \).

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