User:Superagh: Difference between revisions

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-==Introduction==
-Ok, so inspired by master math solver Lcz, I have decided to take Oly notes (for me) online! I'll probably be yelled at even more for staring at the computer, but I know that this is for my good. (Also this thing is almost the exact same format as Lcz's :P ). (Ok, actually, a LOT of credits to Lcz)
-==Algebra==
-===Problems worth noting/reviewing===
-I'll leave this empty for now, I want to start on HARD stuff yeah!
-===Inequalities===
-We shall begin with INEQUALITIES! They should be fun enough. I should probably begin with some theorems.
-====Theorems worth noting====
-=====Power mean=====
-Statement: Given that <math>a_1, a_2, a_3, ... a_n > 0</math>, <math>a_{i} \in \mathbb{R}</math> where <math>1 \leq i \leq n</math>. Define the <math>pm_x(a_1, a_2, \cdots , a_n)</math> as: <cmath>(\frac{a_1^x+a_2^x+\cdots+a_n^x}{n})^{\frac{1}{x}},</cmath> where <math>x\neq0</math>, and: <cmath>sqrt[n]{a_{1}a_{2}a_{3} \cdots a_{n}}.</cmath> where <math>x=0</math>.
-If <math>x\geqy</math>, then <cmath>pm_x(a_1, a_2, \cdots , a_n)\geqpm_y(a_1, a_2, \cdots , a_n).</cmath>
-==Combinatorics==
-==Number Theory==
-==Geometry==

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