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15
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How to show that $e^{-x/2} x^{y-1} \leq 1$ for $x$ large enough and $y\geq 1$

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#limits #inequality
58
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A geometric inequality in a triangle

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#inequality #triangles #fractions #cauchy-schwarz-inequality #geometric-inequalities
128
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Triangles geometric inequalities

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#inequality #radicals #substitution #a.m.-g.m.-inequality #geometric-inequalities
89
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Minimum value of $\frac{x^2+y^2}{x+y}+\frac{y^2+z^2}{y+z}+\frac{z^2+x^2}{z+x}$

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#inequality #optimization #maxima-minima #cauchy-schwarz-inequality
107
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Exponential equation with double radical

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#algebra-precalculus #trigonometry #inequality #exponential-function
50
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How can I prove with induction that $c\cdot 2^n \geq T(n)$

Published on
#inequality #recursion
483
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Prove that $3\left(\frac{x}{y} + \frac{y}{z} + \frac{z}{x}\right) \geq 2(x + y + z)\left (\frac{1}{y + z} + \frac{1}{x + z} + \frac{1}{x + y}\right)$

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#inequality #symmetric-polynomials #a.m.-g.m.-inequality #cauchy-schwarz-inequality #sum-of-squares-method
441
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Inequality for matrix exponential

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#linear-algebra #matrices #inequality #matrix-exponential
672
Views

Triangle inequality and Minkowski inequality

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#measure-theory #inequality #normed-spaces
72
Views

Estimate on smooth functional

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#functional-analysis #inequality #implicit-differentiation #functional-inequalities
589
Views

Norm of difference in exponential of matrices

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#matrices #inequality #normed-spaces #matrix-exponential
99
Views

Seeking the Maximum of a Product expression using Inequalities

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#inequality #optimization #maxima-minima #products #buffalo-way
245
Views

Infima and Inequalities

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#real-analysis #inequality #supremum-and-infimum
162
Views

Prove that for a family of $100n$ subsets of a $[n]$ such that each subset has size $m$, there exists two whose intersection is at least $m^2/10n$.

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#combinatorics #inequality #pigeonhole-principle
9.1k
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Is L2 norm always smaller than L1 norm even in infinite dimensional space?

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#inequality #lp-spaces

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