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15
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Expectation and asymptotic equivalence

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#real-analysis #probability-theory #stochastic-processes #asymptotics
210
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Roots of $X^n-nX+1$ asymptotic expansion

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#real-analysis #calculus #sequences-and-series #limits #asymptotics
133
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Show that $\sum_{n \ge x} \frac{\chi(n)}{\sqrt{n}} = \mathcal{O}\bigg(\frac{1}{\sqrt{x}}\bigg)$

Published on
#number-theory #asymptotics #analytic-number-theory
110
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Mittag-Leffler function for $x$ big

Published on
#asymptotics #special-functions #exponential-distribution
81
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Understanding asymptotic equivalence and dominating factors

Published on
#real-analysis #asymptotics
107
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Prove that $\int_2^x \frac{dt}{\log(t)^n} = \mathcal{O}\bigg(\frac{x}{\log(x)^n}\bigg)$

Published on
#real-analysis #calculus #analysis #asymptotics
92
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Show that $n \log(n!) = n \log n − n + \mathcal{O}(\log n).$

Published on
#logarithms #asymptotics
69
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Asymptotic behavior of $\sum_{k=1}^{n^2}\frac{q^{n^2-k}(1-q^k)}{k(1-q^{n^2})}$ when $q=1-\frac{\log(n)}{n}$

Published on
#sequences-and-series #limits #asymptotics #rate-of-convergence
22
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Help on the derivation rules of the Big Theta notation

Published on
#asymptotics
244
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rate of divergence of a sequence

Published on
#sequences-and-series #limits #asymptotics #rate-of-convergence
65
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asymptotic expansion of $\int_0^x e^{t^2} dt$

Published on
#real-analysis #calculus #integration #sequences-and-series #asymptotics
47
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Block sum of harmonic series and its dependence on term index

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#real-analysis #calculus #sequences-and-series #number-theory #asymptotics
168
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Calculation with Landau symbol (Big $O$)

Published on
#real-analysis #limits #asymptotics #solution-verification
96
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Behavior of a Taylor series for $x \to \infty$

Published on
#asymptotics #taylor-expansion
18
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Complexity calculation doubts

Published on
#asymptotics #machine-learning

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