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Finding lower bounds for a function

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88
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Integral of signum and a root

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#integration #definite-integrals #radicals #upper-lower-bounds
77
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Prove that a certain series grows as $O(\log n)$

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#real-analysis #sequences-and-series #asymptotics #upper-lower-bounds
504
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Best known upper bound for the size of the maximum independent set in a given graph

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#graph-theory #upper-lower-bounds
703
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Upper Bound of Difference of Exponentials

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#upper-lower-bounds
281
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Integral of polynomial exponential function $\int_0^\infty e^{-ax}e^{c x^b } dx$

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#integration #definite-integrals #upper-lower-bounds
196
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Showing $\det\big[ (B+K)^{-1} (A+K) \big] = O(1) $ when $A,B$ are rank 1 updates of $I_n$ and $K$ is symmetric PD with positive entries

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#matrices #eigenvalues-eigenvectors #determinant #inverse #upper-lower-bounds
32
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Bound for Expression

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#upper-lower-bounds
893
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Grönwall-type upper bound

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#real-analysis #ordinary-differential-equations #upper-lower-bounds
53
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Possible Upper Bound of Sum of Divisors

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#functions #upper-lower-bounds #divisor-sum
47
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$\frac{1+m_v}{1+m_u}\leq \frac{1+u^T(M+I)^{-1} u}{1+v^T(M+I)^{-1}v} \leq \frac{1+m_u}{1+m_v}$ if $M$ is positive sym. PD & $u,v$ are $0-1$ vectors?

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#matrices #inequality #quadratic-forms #upper-lower-bounds
201
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Upper bound for a difference of square roots on $\mathbb{R}\setminus \{0\}$

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#real-analysis #upper-lower-bounds
47
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How to sketch these bounds

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#integration #multivariable-calculus #inequality #upper-lower-bounds
51
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True or false : Let $b \in \mathbb R, b>0$ and let $B:=\{x^2 :\, x \in (−b,0)\}$. We then have that $\inf(B) = 0$ and $\sup(B) = b^2$

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#real-analysis #calculus #upper-lower-bounds
756
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Sequence converges means it is bounded above and below

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#calculus #sequences-and-series #convergence-divergence #upper-lower-bounds

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