代數(shù)部分
多項(xiàng)式，代數(shù)手法進(jìn)階，數(shù)列，二次數(shù)列進(jìn)階, 不等式進(jìn)階
Rearrngement Inequality, Cauchy-Schwarz, Jenson?s Inequlity and more
幾何
歐氏幾何的處理手法，共點(diǎn)和共線，多邊形和圓，radical axis, 射影幾何入門，三角函數(shù)進(jìn)階，解析幾何，solving geometric problems using vectors, solving geometric problems in complex plane.
立體幾何進(jìn)階
數(shù)論
類費(fèi)布拉奇數(shù)列和質(zhì)數(shù)分解的幾個(gè)有趣結(jié)論
模運(yùn)算進(jìn)階 Euler?s Toteint Function, Fermat?s Christmas Theorem, Fermat?s little Theroem
快速篩數(shù) Quadatic Residue, Lifting the Exponent Lemma
排列組合
二項(xiàng)式系數(shù)的運(yùn)算 Vandermonde?s identity
幾種常見的排列組合思維方法，圖論入門
Probability and Expectation
隨機(jī)過(guò)程 Markov Chain
Roots of Unity Filter
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