均值不等式排序不等式TrigonometryinequalityNewtoninequalityBernoulliinequalityChebyshevinequalityHölderInequality

原题链接题解1.如果\(x\oplusy\gtx\)，则\(y\)的最高位对应的\(x\)一定是\(0\)2.$f(x,y)\oplusf(y,z)\gtf(x,z)$等价于\(f(x,z)\oplusa_y\gtf(x,z)\)3.\(x\in[1,y]\)则\(x-1\in[0,y-1]\)code#include<bits/stdc++.h>usingnamespacest

首先引入一些基础的定义:\(C:S_X\rightarrow\mathcal{D}^*\):thesourcecodeforar.v.\(X\),where\(S_X\)istherangeof\(X\),\(\mathcal{D}^*\)isthesetoffinite-lengthstringsofsymbolsfroma\(D\)-aryalphabet.WLOG,assumethat\(D

Markov'sInequalityIfXisanonnegativerandomvariableand\(a>0\),thentheprobabilitythat\(X\)isatleast\(a\)isatmosttheexpectationof\(X\)

SELECTt4.name,t1.[statement],t1.object_id,t2.user_seeks,t2.user_scans,t1.equality_columns,t1.inequality_columns,t1.included_columns,case--whent1.equali

\(\|x\|+\|y\|\ge\|x+y\|\)usingconvexityofnormtoproveit.weneedtouse\(\|\alpha\|=\alpha\)amongtheprocess,where\alphaisaconstant.\(\|\a