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Lower bound for the falling factorial $(2n)_{n}$

Published on
#combinatorics #asymptotics #factorial
892
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Big-theta notation

Published on
#asymptotics
310
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Asymptotic notation (big Theta)

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#algorithms #asymptotics
1.2k
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Prove line asymptotic to curve

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#calculus #limits #asymptotics
127
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Estimating an unusual infinite sum

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#sequences-and-series #asymptotics
748
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Expectation and Variance of random walks

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#probability-theory #probability-distributions #asymptotics #markov-chains #random-walk
384
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Upper bound for $\prod_{ 5 \leq p <n} p^{\frac{n}{p-1}}$

Published on
#number-theory #inequality #prime-numbers #asymptotics #chebyshev-function
322
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When is this sum of perfect powers bounded

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#real-analysis #polynomials #asymptotics
36
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Simplifying $f(n)$ by substituting, for $n$, an appropriately chosen function $n(x)$ to observe limiting behaviour of $f(n)$. Is this justified?

Published on
#calculus #asymptotics
311
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Do all single variable identities over exponentiation have the same length?

Published on
#number-theory #asymptotics #exponentiation
30
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How would I go about proving these.

Published on
#asymptotics
90
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Proof $\mathcal{O}(f(n)) = \mathcal{O}(g(n)) \iff f(n) \in O(g(n)) \land g(n) \in \mathcal{O}(f(n))$

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#asymptotics
79
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Does the inequality $ n! > A \cdot B^{2n+1}$ hold for sufficiently large $n$?

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#calculus #inequality #asymptotics #factorial #estimation
3.2k
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How to prove that $2^{n+1} = \Theta(2^n)$?

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#asymptotics
1k
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How to solve this recurrence, $T(n) = T(\sqrt{n}) + n$ using recursive tree method?

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#recurrence-relations #asymptotics #recursive-algorithms

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