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Prove that $\frac{\pi(2x)\text{log}\, x}{x}$ has a constant upper bound.

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#elementary-number-theory #prime-numbers #upper-lower-bounds
48
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Shrinking a Ratio of a Sum

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#real-analysis #sequences-and-series #upper-lower-bounds
206
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Bounds on multinomial distribution

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#probability-distributions #upper-lower-bounds #multinomial-distribution
987
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Understanding $\epsilon-$net arguments for random matrix bounds

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#probability #matrices #normal-distribution #upper-lower-bounds #nets
334
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Bound of Chebyshev polynomials

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#inequality #polynomials #upper-lower-bounds #chebyshev-polynomials
30
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Summation symbol bound problem

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#summation #upper-lower-bounds
34
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What conditions should vector $x$ satisfy so that $\|[x_2+\alpha x_1, \dots, x_n + \alpha x_1]\|_2$ is bounded by a constant?

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#linear-algebra #vectors #normed-spaces #upper-lower-bounds
47
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A compact set K contained in $(0,∞)$ and a sequence $(x_n)_n$ in K that converges to 0.

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#calculus #sequences-and-series #convergence-divergence #upper-lower-bounds
53
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Bounding the time to multiply the first $n$ primes as $\sum_{i=1}^n \log{i}\log\log{i}$

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#sequences-and-series #prime-numbers #computational-complexity #products #upper-lower-bounds
41
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Nice bounds for 3rd folded central moment in terms of variance?

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#statistics #inequality #expected-value #standard-deviation #upper-lower-bounds
78
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Trace and 2-norm of linear combination of outer products

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#linear-algebra #eigenvalues-eigenvectors #normed-spaces #trace #upper-lower-bounds
162
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Upper bound of a complex integral

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#integration #complex-integration #upper-lower-bounds
197
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Can this inequality involving the deficiency and sum of aliquot divisors be improved?

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#number-theory #elementary-number-theory #upper-lower-bounds #divisor-sum #arithmetic-functions
303
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Expression for the bound on the error of a Poisson approximation?

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#probability #probability-distributions #poisson-distribution #binomial-distribution #upper-lower-bounds
113
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Why does $f$ extend holomorphically to the unit disc?

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#complex-analysis #upper-lower-bounds

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