AlanH

765 reputation

119

bio	website	math.stackexchange.com/users/…
	location	Antarctica
	age	77
visits	member for	7 months
	seen	9 hours ago
stats	profile views	138

Self-learning mathematics. Many thanks to those who make time to help others on the site.

	765 reputation	bio	website	math.stackexchange.com/users/…	visits	member for	7 months
119 badges		location	Antarctica		seen	9 hours ago

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82 Favorites

added views newest activity votes

votes

answer

171

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Graph theory question

graph-theory

mar 26 at 14:46 Aline Parreau 251

votes

answers

636

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Proving a binomial sum identity

may 9 at 15:05 J. M. 38.8k

votes

answers

510

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A good book for learning mathematical trickery

big-list reference-request proof-strategy

may 16 '11 at 22:31 t.b. 43.1k

votes

answers

343

views

What do all the $k$-cycles in $S_n$ generate?

permutations symmetric-groups

aug 30 '10 at 21:59 damiano 1,066

votes

answers

264

views

How to evaluate this integral $\int_{-\infty}^{+\infty}\frac{x^2e^x}{(1+e^x)^2}dx$?

complex-analysis improper-integrals

jan 2 at 0:15 Community♦ 1

votes

answers

142

views

Compute the remainder when $67!$ is divided by $71$.

number-theory elementary-number-theory

may 12 at 21:09 icanc 318

votes

answers

kviews

Cauchy Sequence that Does Not Converge

sequences-and-series

mar 12 '12 at 22:25 Michael Hardy 47.6k

votes

answers

105

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Prove that $\lim \limits_{n \to \infty} n^2 \int_{0}^{\frac{1}{n}} x^{x+1} dx = \dfrac{1}{2} $

real-analysis integral limit

apr 3 at 6:08 Fixed Point 2,002

votes

answers

178

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The minimum value of $a^2+b^2+c^2+\dfrac{1}{a^2}+\dfrac{1}{b^2}+\dfrac{1}{c^2}?$

inequality

mar 29 at 8:36 Inceptio 4,285

votes

answer

259

views

How many strings of length $n$ with $m$ $1$s have no more than $k$ consecutive $1$s? - from generatingfunctionology

combinatorics generating-functions

apr 14 '11 at 23:52 Julian 101

votes

answers

kviews

Difference between complete and closed set

general-topology metric-spaces

mar 14 at 6:57 Seirios 8,790

votes

answers

214

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finding the coefficient of $x^{14}$ in the expression: $\frac{5x^2-x^4}{(1-x)^3}$

homework combinatorics generating-functions

mar 24 at 7:39 AlanH 765

votes

answers

kviews

Undergraduate/High-School-Olympiad Level Introductory Number Theory Books For Self-Learning

number-theory reference-request

dec 3 '11 at 13:47 Quixotic 7,885

votes

answers

views

$\lim_{n \to \infty} n \int_0^1 x^np(x) \, dx=$? , where $p(x)$ is a polynomial

integral

feb 22 at 17:04 Seirios 8,790

votes

answer

views

Find the floor value of a finite continued surd

algebra-precalculus elementary-number-theory

mar 31 at 9:09 Ivan Loh 6,508

votes

answers

172

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Some Real Analysis T/F questions

real-analysis

jun 25 '11 at 2:40 Jonas Meyer 34.9k

votes

answer

162

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how to prove $\sum _{|k|\lt\sqrt m}\binom{2m}{m+k}\ge2^{2m-1}$

homework probability combinatorics contest-math

mar 22 at 22:13 user17762 75.6k

votes

answers

132

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How to compute Integral

calculus real-analysis integral integration

mar 13 at 19:32 robjohn♦ 59k

votes

answers

144

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Combinatorial proof involving factorials

combinatorics

feb 9 at 14:43 Brian M. Scott 153k

votes

answers

kviews

What is the difference between outer measure and lebesgue measure

measure-theory

feb 19 at 8:02 Joseph 1,906

votes

answers

219

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Finding asymptotes of exponential function and one-sided limit

limit exponential-function

nov 28 at 10:55 Mhenni Benghorbal 13.8k

votes

answers

123

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Evaluate the limit $\lim\limits_{n\to\infty}{\frac{n!}{n^n}\bigg(\sum_{k=0}^n{\frac{n^{k}}{k!}}-\sum_{k=n+1}^{\infty}{\frac{n^{k}}{k!}}\bigg)}$

calculus

mar 8 at 12:03 robjohn♦ 59k

votes

answers

115

views

Algebra Question from Mathematics GRE

abstract-algebra

mar 12 at 5:32 Mark 441

votes

answers

views

$\forall m,n \in \Bbb N$ : $\ 56786730\mid mn(m^{60}-n^{60})$

homework elementary-number-theory

mar 15 at 22:10 Community♦ 1

votes

answers

views

Series involving log $\sum_{n=1}^{\infty} \left( n\log \left(\frac{2n+1}{2n-1}\right)-1\right) = \frac{1-\log 2}{2}$

sequences-and-series logarithms

mar 17 at 5:55 user17762 75.6k

votes

answers

325

views

Putnam Problem: Partitioning integers with generating functions

combinatorics generating-functions contest-math partitions

jul 22 at 14:32 Marc van Leeuwen 23.4k

votes

answers

732

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Which one is bigger $2^{n!}$ or $(2^{n})!$

asymptotics

aug 27 '10 at 20:53 Community♦ 1

votes

answer

130

views

How can I prove that $H$ is the only non-trivial proper normal subgroup of $G$?

group-theory finite-groups

apr 3 at 16:54 Community♦ 1

votes

answers

129

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How to prove that for all $m,n\in\mathbb N$, $\ 56786730 \mid mn(m^{60}-n^{60})$?

homework elementary-number-theory modular-arithmetic divisibility

apr 2 at 19:10 Community♦ 1

votes

answers

109

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Calculate:$\int \frac{px^{p+2q-1} - qx^{q-1}}{x^{2p+2q}+2x^{p+q}+1} dx $

integral integration

apr 1 at 7:42 Caran-d'Ache 1,015