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$u^{\top} A_{2}^{-1} A_1 u \leq C$ implies $u^{\top} A_1 u \leq C u^{\top} A_2 u$

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#matrices #eigenvalues-eigenvectors #upper-lower-bounds #positive-definite #symmetric-matrices
116
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Asymptotic for sum of $(p-1)/p$ for $p$ at most $x$

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#summation #asymptotics #analytic-number-theory #upper-lower-bounds
34
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Why can't the limit of $A(n)$ as $n$ tends to $\infty$ be considered the supremum here?

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#real-analysis #supremum-and-infimum #upper-lower-bounds
53
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How to show the sequence $\frac{H_{n+1}}{n+1}$ decreases, where $H_n$ is partial sum of harmonic series.

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#real-analysis #sequences-and-series #upper-lower-bounds
69
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Bounding an integral involving tail probabilities

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#upper-lower-bounds #triangle-inequality #empirical-processes
119
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On the inequality $I(n^2) \geq (6 - s(q^k))/3$, where $q^k n^2$ is an odd perfect number and $I(x)$ is the abundancy index of $x$

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#number-theory #upper-lower-bounds #divisor-sum #arithmetic-functions #perfect-numbers
87
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Convergence of recurrence sequence $a_n=a_{n-1}+1/2(a-a_{n-1})^2$, where $|a|\leq 1$ and $a_0=0$

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#real-analysis #sequences-and-series #recurrence-relations #upper-lower-bounds
156
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Obtaining an upper bound for an integral

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#calculus #integration #definite-integrals #upper-lower-bounds
18
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Upper bound on Contractive Sequence

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#real-analysis #sequences-and-series #upper-lower-bounds
117
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Upper-bounding the norm of Gaussian

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#inequality #upper-lower-bounds #gaussian #matrix-norms
34
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Growth rate / bounds for a recursive function of two-variables.

Published on
#asymptotics #recursion #upper-lower-bounds
97
Views

How to show that $(ex)^{-1}\leq \Gamma (x) \leq 1+1/x$, if $0<x<1$?

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#real-analysis #inequality #exponential-function #gamma-function #upper-lower-bounds
31
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Lower bound on empirical Gaussian probablity

Published on
#probability #statistics #upper-lower-bounds #gaussian
36
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On the boundedness of a certain sequence

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#real-analysis #sequences-and-series #real-numbers #upper-lower-bounds
62
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Is there a better lower bound on $|P_n|$, the number of posets on a set

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#combinatorics #order-theory #upper-lower-bounds

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