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How do you define computational complexity abstractly?

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#elementary-set-theory #asymptotics #computational-complexity
137
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Expansion of Integration

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#integration #definite-integrals #asymptotics #taylor-expansion
689
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If $a_{1}=1$ and $a_{n+1}=1+\frac{n}{a_{n}}$, then $a_{n}=\sqrt{n}+\frac{1}{2}-\frac{1}{8\sqrt{n}}+o\left(\frac{1}{\sqrt{n}}\right)$

Published on
#sequences-and-series #asymptotics #approximation
528
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Saddle point method: a rigorous proof?

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#integration #complex-analysis #reference-request #asymptotics #taylor-expansion
209
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Laplace's Method (Integration)

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#integration #definite-integrals #asymptotics
223
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Integration by expansion

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#integration #definite-integrals #asymptotics #taylor-expansion
171
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Laplace's Method Integration

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#integration #asymptotics #laplace-transform #complex-integration
8.9k
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Big-O and function composition

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#functions #asymptotics #computational-complexity #function-and-relation-composition
158
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Big O question related to nested loop

Published on
#discrete-mathematics #asymptotics
35
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Estimation higher order

Published on
#ordinary-differential-equations #asymptotics
611
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Asymptotics of an oscillatory integral with a linear oscillator

Published on
#integration #asymptotics
115
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How to find an asymptotic formula for $f(n)=\sum_{k=1620}^{n}(\log\log\log k)^{2}$?

Published on
#summation #asymptotics
11.6k
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What does this $\asymp$ symbol mean? (subject: analytic number theory)

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#analysis #notation #asymptotics #analytic-number-theory
607
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How does one arrive at the asymptotic expressions for the bessel functions?

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#asymptotics #special-functions #approximation
780
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Asymptotic behavior of $\pi (x)-\frac{x}{\log x}$

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#prime-numbers #asymptotics

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