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127
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How was the following lower bound on ${n \choose pn}$ derived?

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#combinatorics #asymptotics #binomial-coefficients #coding-theory #upper-lower-bounds
175
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Aymptotic complexity of C(n,2)

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#asymptotics #combinations
180
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How the sum $\sum_{j=0}^m {n \choose j}{2n+m-j-1\choose m-j}(-2)^j$ scales with $n$

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#sequences-and-series #combinatorics #summation #asymptotics #binomial-coefficients
853
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$\Theta(polynomial)$ vs. n choose k run time

Published on
#calculus #algorithms #asymptotics #computational-complexity
86
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Equivalent of $\sum_{k=1}^{n-1}\frac1{\ln(n/k)}$ when $n\to+\infty$?

Published on
#sequences-and-series #asymptotics
66
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Is there a convex function tending to $\infty$ and bounded above by $(\log x)^2$?

Published on
#real-analysis #limits #logarithms #asymptotics #convex-analysis
62
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The asymptotic upper bound of $E_Y \{ e^{-Y^2 + xY} \}$

Published on
#probability #asymptotics
49
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Show that $g(x)=\frac{1}{x}f \left( \frac{(1-x)A+xB}{ (1-x)C+xD} \right)$ is decreasing for small enough $x>0$.

Published on
#real-analysis #asymptotics #convex-analysis
393
Views

running time of algorithm given time complexity

Published on
#algorithms #asymptotics #computational-complexity #analysis-of-algorithms
279
Views

How can i evaluate the time complexity of a mixed integer scheduling problem?

Published on
#algorithms #asymptotics #computational-complexity #discrete-optimization #mixed-integer-programming
89
Views

Bounding $\frac{(n^2 +\log_5(n))\cdot \log_8(\log_2(\frac{\sqrt{n}}{2}))}{2}$ from above and below

Published on
#asymptotics #upper-lower-bounds
147
Views

How to find the equivalent?

Published on
#real-analysis #asymptotics
239
Views

Asymptotics for the Fourier transform of $\frac{1}{|x|} \frac{1}{e^{|x|} -1}$

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#fourier-analysis #asymptotics #fourier-transform #dirac-delta
262
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Asymptote for $y=±\sqrt{x^2-1}$

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#asymptotics #hyperbolic-functions
199
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Central Limit Theorem for Non-degenerate U-Statistics

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#probability #probability-theory #statistics #asymptotics #central-limit-theorem

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