Math — Means & Inequalities
AM–GM, triangle and Cauchy–Schwarz inequalities.
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\frac{a+b}{2} \geq \sqrt{ab}
|a + b| \leq |a| + |b|
\left(\sum a_ib_i\right)^2 \leq \left(\sum a_i^2\right)\left(\sum b_i^2\right)
\text{HM} \leq \text{GM} \leq \text{AM}