Clement C.

Sydney NSW, Australia

http://ccanonne.github.io/

Lecturer in Computer Science at the University of Sydney.

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Striking applications of linearity of expectation

probability reference-request expected-value big-list asked Jan 14, 2021 at 20:13

math.stackexchange.com

37 votes

Application of Rolle's theorem? Establish existence of $c\in(a,b)$ such that $f(c)+f'(c)=f(c)f'(c)$

real-analysis rolles-theorem asked Mar 31, 2017 at 1:19

math.stackexchange.com

27 votes

Rate of convergence of $\frac{1}{\sqrt{n\ln n}}(\sum_{k=1}^n 1/\sqrt{X_k}-2n)$, $X_i$ i.i.d. uniform on $[0,1]$?

pr.probability limits-and-convergence asked Mar 21, 2018 at 16:19

mathoverflow.net

23 votes

Generalizing the "median trick" to higher dimensions?

ds.algorithms randomized-algorithms asked Sep 15, 2015 at 13:23

cstheory.stackexchange.com

23 votes

Question about two matrices: Hadamard v. "the magical one" in the proof of the sensitivity conjecture

boolean-functions matrices boolean-matrix asked Jul 3, 2019 at 4:09

cstheory.stackexchange.com

18 votes

(Elegant) proof of : $x \log_2\frac{1}{x}+(1-x) \log_2\frac{1}{1-x} \geq 1- (1-\frac{x}{1-x})^2$

real-analysis inequality information-theory entropy asked Apr 29, 2016 at 0:16

math.stackexchange.com

17 votes

How to cite a reference which disappeared?

citations online-resource asked Aug 13, 2017 at 14:29

academia.stackexchange.com

15 votes

Expected minimum influence of a random Boolean function $f\colon\{-1,1\}^n \to \{-1,1\}$

reference-request pr.probability boolean-functions asked Mar 20, 2016 at 1:44

cstheory.stackexchange.com

14 votes

Fourier spectrum of the parity of two monotone Boolean functions

boolean-functions fourier-analysis monotone asked Mar 7, 2017 at 14:55

cstheory.stackexchange.com

13 votes

Convergence of the series $\sum_{n=1}^\infty \frac{(2+\sin n)^n}{3^n n^a}$ for $a\in(0,1)$

sequences-and-series irrational-numbers asked Nov 28, 2021 at 8:32

mathoverflow.net

Top Answers

108

Is it possible for the derivative of a function to grow arbitrarily faster than the function itself?

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I last billions of years or a couple of milliseconds

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Examples of mathematical discoveries which were kept as a secret

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Is Norbert Blum's 2017 proof that $P \ne NP$ correct?

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Prove variance in Uniform distribution (continuous)

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Find the limit of $4^n a_n$, for the recurrent sequence $a_{n+1}=\frac{1-\sqrt{1-a_n}}{1+\sqrt{1+a_n}}$

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Proof of Matrix Norm (Inverse Matrix)

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WolframAlpha says limit exists when it doesn't?

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Find $\lim_{n \to +\infty} \frac{1}{n}\sqrt[n]{\frac{(2n)!}{n!}} $ using Riemann integral

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Find the sum of the infinite series $\sum n(n+1)/n!$

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Prove: the set of zeros of a continuous function is closed.

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Striking applications of linearity of expectation

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Did Trump say “going loco”?

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Sum of Big O - which one is it?

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Continuity of matrix inversion

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Limit of the sequence $\lim_{n\rightarrow \infty}n\left ( 1-\sqrt{1-\frac{5}{n}} \right )$, strange result

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Examples of algorithms requiring deep mathematics to prove correctness

mathoverflow.net

Summation of logarithmic functions

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Variance of sine and cosine of a random variable

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On the sensitivity conjecture?

cstheory.stackexchange.com

Approximation of combination $ {n \choose k} = \Theta \left( n^k \right) $?

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Most important new papers in computational complexity

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If $A^T=-A$, then A is not invertible

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Sum of Bernoulli random variables with different success probabilities

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Prove if $f$ has a right inverse function: $f\circ g=id_x$ $\iff$ $f$ is onto $Y$

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Expected number of triangles in a random graph of size $n$

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Has there been any progress in tightening the exponent in the result that polylog independence fools $AC_0$?

cstheory.stackexchange.com

How to solve this limit: $\lim\limits_{x\to0}\frac{(1+x)^{1/x}-e}x$?

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Notation for intervals

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How can I claim a one-sided limit doesn't exist?

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