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Home » Shocked by the Hidden Meanings in Passive-Aggressive Letters—Find Out Why! - Midis

Shocked by the Hidden Meanings in Passive-Aggressive Letters—Find Out Why! - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Incident direction: $ec{i} = \langle -1, 2

📌 Unit normal: $ ec{n} = \langle 0, 1

📌 Angle between $ec{i}$ and $ec{n}$ gives reflection. Use vector reflection formula:

📌 $ec{r} = ec{i} - 2(ec{i} \cdot ec{n}) ec{n}$.

📌 $ec{i} \cdot ec{n} = 2$. Then $ec{r} = \langle -1, 2

📌 angle - 2(2)\langle 0, 1

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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...
This still depends on \( z \). But since the original expression is ho...
Let \( z = 1 \), \( y = 1 + b \), \( x = 1 + b + a \), with \( a, b >...
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 \( f(a, b) \).
Fix \( b \), and minimize over \( a > 0 \). Note that as \( a \to \inf...
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