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15
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Tight Bound via Chebychev Inequality

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#probability #probability-distributions #upper-lower-bounds
49
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Upperbound of tail event

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#probability #exponential-distribution #upper-lower-bounds
40
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Let $f(t)$ be a polynomial. When $\sum_{k=1}^n f(\sin{kx_0})$ is bounded for any $x_0$?

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#real-analysis #polynomials #trigonometric-series #upper-lower-bounds
731
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Arc-length without bounds

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#calculus #upper-lower-bounds #arc-length
43
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Mean of a function, under different distributions

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#probability #probability-distributions #normed-spaces #upper-lower-bounds
56
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Upper bound of $ \sum_{n\leq x}f(n) $ where $ f(n)=\sum_{r=1}^{n-1}\mu(r)\mu(n-r) $

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#upper-lower-bounds #mobius-function #sieve-theory
83
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Show that $f(x) = { 1\over x^2 + \ln^2x }$ is bounded

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#algebra-precalculus #upper-lower-bounds
442
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Clean Proof that a set is bounded in multiple dimension

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#real-analysis #multivariable-calculus #compactness #upper-lower-bounds
62
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When finding the upper bound, why is a ceiling evaluated to a +1?

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#information-theory #upper-lower-bounds #ceiling-and-floor-functions
44
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Mutual Information between dataset and output of algorithm

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#probability #information-theory #upper-lower-bounds
136
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Prove $2+2\cos(2\pi\theta) \leq 4\exp(-2\|\theta \|^2)$.

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#inequality #upper-lower-bounds
41
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Upper bound on some sum

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#real-analysis #summation #upper-lower-bounds
189
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A better lower bound of the definite integral $\int_0^1\frac{\ln^2x}{e^{2x}}\,dx$

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#integration #definite-integrals #cauchy-schwarz-inequality #upper-lower-bounds
57
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Solving OR bounding sums of solutions to certain linear diophantine equations

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#elementary-number-theory #algebraic-geometry #diophantine-equations #upper-lower-bounds #linear-diophantine-equations
339
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Is subtracting inequalities allowed? $\sup(A+B)= \sup(A)+\sup(B)$ - proof verification

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#real-analysis #proof-verification #inequality #supremum-and-infimum #upper-lower-bounds

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