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An Inequality Problem with square roots.

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#inequality #arithmetic #radicals
3k
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Proving the trichotomy of order for the natural numbers

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#real-analysis #inequality #proof-verification #logic #peano-axioms
85
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Expected value inequality with zero-mean variable

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#probability #inequality #self-learning #jensen-inequality
99
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How to solve the following mixed exponential inequality: $3^x + x < 4$? (from Spivak's Calculus)

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#calculus #inequality
1k
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How to prove that $\pi > e\ln(\pi)$?

Published on
#inequality #exponential-function
111
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Tricky inequality concerning polynomials on $[0,1]^n$

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#algebra-precalculus #inequality #polynomials
79
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Simplify sqrt-Inequality to prove monotonicity of a series

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#calculus #real-analysis #sequences-and-series #inequality #roots
39
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Minimum value of probability of events

Published on
#probability #inequality
70
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Proof of an inequality with the triangle inequality

Published on
#inequality #proof-writing #triangles #absolute-value
97
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Show $\sum_{k=1}^n \frac{1}{k^2} \le 2$ and $\ln(n!) \ge 1 -n+n\ln(n)$ for all positive integers n

Published on
#sequences-and-series #inequality #induction #integers
79
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About QM power inequality.

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#inequality #exponential-function #fractions #a.m.-g.m.-inequality
772
Views

Find how many integer numbers (x,y) satisfy an inequality

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#inequality #algebraic-geometry
209
Views

How prove this inequality $H(a_1)+H(a_2)+\cdots+H(a_m)\leq C\sqrt{\sum_{i=1}^{m}i a_i}$

Published on
#inequality #contest-math
112
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Let $a> 0, b> 0$. Prove that: $\frac{{{a}^{2}}}{b}+\frac{{{b}^{2}}}{a}+7\left( a+b \right)\ge 8\sqrt{2\left( {{a}^{2}}+{{b}^{2}} \right)}$

Published on
#inequality #radicals #fractions #substitution #a.m.-g.m.-inequality
147
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Seeking the minimum without calculus

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#algebra-precalculus #inequality #polynomials #optimization #nonlinear-optimization

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