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34
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Big-O Notation as a hull operator?

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#asymptotics #convex-hulls
80
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Asymptotic expression to $e^{-k^2/2n}$

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#calculus #asymptotics #exponential-function
79
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Holomorphic almost periodic function: how do the number of zeros in a box of height $T$ scale with $T$?

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#complex-analysis #asymptotics #almost-periodic-functions
97
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Average decrease of a random number in "subtracting every prime by one in factorization"

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#complex-analysis #number-theory #limits #asymptotics
39
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How can I prove that $g(n) \not \in \Theta (f(n))$?

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#algorithms #asymptotics
48
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Is $1.9999...$ equal to $2$?

Published on
#limits #asymptotics
245
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Asymptotic behaviour of an integral whose integrand cannot be expanded

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#integration #limits #definite-integrals #asymptotics #taylor-expansion
394
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Approximation of a ratio of factorials

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#inequality #asymptotics #approximation #gamma-function #approximation-theory
156
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Find the asymptotic expansion as $N \rightarrow \infty$ of $\sum_{n=1}^{n_{\max}} \left\lceil{\sqrt{2nN+n^2}}\right\rceil$

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#elementary-number-theory #summation #asymptotics #sums-of-squares #ceiling-and-floor-functions
80
Views

Obtaining non-infinite expression for definite integral

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#calculus #definite-integrals #asymptotics
42
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Asymptotic growth of the price of anarchy for polynomial latency functions in selfish routing

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#asymptotics #algorithmic-game-theory
96
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Scaling of a sum with factorials

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#sequences-and-series #asymptotics #binomial-coefficients #factorial
140
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Decay rate of the coefficients in the Legendre series expansion

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#sequences-and-series #functional-analysis #limits #asymptotics #legendre-polynomials
250
Views

Estimating asymptotic runtime of recurrence-equation given recursive-tree

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#algorithms #recurrence-relations #asymptotics #recursive-algorithms
36
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Disprove that $f(n)=O(g(n)) \Rightarrow g(n)=O(f(n))$?

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#calculus #asymptotics

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