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Big-O Notation, integration, proof

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#calculus #real-analysis #integration #asymptotics
467
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Asymptotic Expansion of Polynomial

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#polynomials #asymptotics
26
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Show that if $f_i = O(g), i = 1,...,n$ as $x \to 0$ and..

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#asymptotics #approximation
50
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Square-free numbers congruent to $1$ modulo $p$ (asymptotic formula)

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#asymptotics #analytic-number-theory #characters
36
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What is the complexity of an array that find minimum of an array

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#asymptotics #computational-complexity #recursion
518
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Asymptotic expansion of $\int_0^{+\infty} \frac{ne^{-\sqrt{t}}}{1+n^2t^2}\,dt$

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#calculus #real-analysis #integration #sequences-and-series #asymptotics
185
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Leading Order Behaviour using Watson and Laplace

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#asymptotics #perturbation-theory #laplace-method
291
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Asymptotics inversion of Laplace transform

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#asymptotics #laplace-transform
259
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For what $k\in \mathbb{C}$ do we have $\lim_{x\to\infty}\frac{1}{x^{k+1}}\sum_{n=1}^x \sigma_k(n)=\frac{\zeta(k+1)}{k+1}$?

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#sequences-and-series #asymptotics #analytic-number-theory #riemann-zeta #divisor-sum
39
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Use of the notation $a\ll b$ for $a,b$ maybe not positive

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#reference-request #notation #asymptotics
594
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What is/are the asymptote(s) of the straight line?

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#calculus #asymptotics
263
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Asymptotic estimation of $A_n$

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#calculus #real-analysis #combinatorics #number-theory #asymptotics
54
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Running time of algorithm with many for loops

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#matrices #asymptotics
21
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Analyzing a special case of the Big O notation for N->R and g(n) =/= 0

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#analysis #asymptotics #computer-science
57
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Evaluating $\lim_{z \to 0} \frac{e^{-z}-1+z}{1-\cos(z)}$ with Big-O notation

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#complex-analysis #limits #asymptotics

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