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Big O-notation asymptotics

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#real-analysis #asymptotics
184
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Deriving the fact that the approximation $\log(n!) \approx n\log(n) - n + \frac{1}{2}\log(2\pi n)$ is $O(1/n)$.

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#asymptotics #factorial
309
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Prove Statement with Asymptotic Notation

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#algorithms #induction #asymptotics #data-structure
172
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Prove/disprove if f(n)=Ωg(n) then f(n)-g(n)=Ωmin(f(n),g(n))

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#algorithms #asymptotics
556
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Limit of a function ("order of magnitude")

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#calculus #analysis #limits #asymptotics #perturbation-theory
369
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Remainder in Asymptotic Expansion of Erfc

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#complex-numbers #asymptotics #error-function #bounds-of-integration
53
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Bounds on asymptotics of function series in terms of asymptotics of summands

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#sequences-and-series #functional-analysis #convergence-divergence #asymptotics #uniform-convergence
27
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Choosing a $c$ and $n_0$ that shows that $f(n) \in O(g(n))$ or $\Omega(g(n))$?

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#discrete-mathematics #asymptotics
116
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Estimate convergence rate for recurrences $a_{k} \le \frac{k}{k+2} a_{k-1}$ and $b_{k} \le \frac{k+\alpha}{k+2} b_{k-1}$

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#sequences-and-series #recurrence-relations #asymptotics #rate-of-convergence
36
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runtime for search of linked-list datastructure using “jumpset” algorithm

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#algorithms #asymptotics
760
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Problems with limits and asymptotic notation

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#limits #asymptotics #substitution
46
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Implication from an asymptotic equation.

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#real-analysis #asymptotics
384
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Proof of theorem 7.7.1. in Lars Hormander's "The Analysis of Linear Partial Differential Operators I"

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#real-analysis #analysis #partial-differential-equations #asymptotics #proof-explanation
61
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Asymptotic Representation of the Solution of an ODE

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#ordinary-differential-equations #asymptotics
93
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Big $\mathcal{O}$ Notation $f(N)=\mathcal{O}\left(\frac{1}{\sqrt{N}}\right)$

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#sequences-and-series #asymptotics

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