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Tag Archives: inequality
Curious Inequality: 2^p(a^p+b^p)>=a+b^p
Try out the Personality Quiz! This inequality often appears in Analysis: , for , and . It does seem quite tricky to prove, and using Binomial Theorem leads to a mess and doesn’t work! It turns out that the key … Continue reading
AMGM inequality
AMGM inequality A very useful inequality in Mathematics is the AMGM Inequality. The arithmetic mean of numbers is . The geometric mean of numbers is . The AMGM Inequality states that: For any nonnegative numbers , , and equality holds … Continue reading
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