Hassan Muhammad

726 reputation

312

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	location	Nigeria
	age	28
visits	member for	1 year, 7 months
	seen	Jan 18 at 20:01
stats	profile views	302

I am Hassan Muhammad a postgraduate student of mathematics in Bayero University, Kano. I love mathematics especially Algebra.

	726 reputation	bio	website		visits	member for	1 year, 7 months
312 badges		location	Nigeria		seen	Jan 18 at 20:01

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41 Questions

views newest activity votes

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557

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Is there a sequence in $(0,1)$ such that the product of all its terms is $\frac{1}{2}$?

sequences-and-series products

jul 10 at 23:00 Neves 1,120

votes

answers

752

views

How do I solve this analytically $3^x=9x$

exponentiation

mar 27 at 11:55 RASHMAN 1

votes

answers

kviews

Is there any difference between mapping and function?

soft-question terminology

dec 27 at 11:40 Stefan Hansen 8,563

votes

answer

106

views

How to prove $\sum\limits_{k=1}^{\infty}|\alpha_{k}|\lt \infty$, given that $\sum \limits_{k=1}^{\infty}\alpha_{k}\phi_{k}$ converges …?

sequences-and-series analysis

nov 5 '11 at 14:37 mixedmath♦ 27.3k

votes

answers

518

views

Why filters and nets in topology?

general-topology soft-question terminology

dec 10 at 5:00 faroz bhat 1

votes

answer

516

views

Does Bounded Covergence Theorem hold for Riemann integral?

real-analysis measure-theory

nov 30 at 10:43 Phira 12.2k

votes

answer

360

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Dominated convergence theorem for $\lim\int_{0}^{n}(1-x/n)^{n}x^sdx$, $s<-1$.

real-analysis measure-theory

may 21 '12 at 20:23 user17762 76.4k

votes

answer

153

views

The derivative of a complex function.

complex-analysis

mar 1 '12 at 10:23 Hassan Muhammad 726

votes

answers

196

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The norm of $x\in X$, where $X$ is a normed linear space

functional-analysis banach-spaces

nov 1 '11 at 16:02 Hassan Muhammad 726

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answers

141

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This map $f$ is not continuous with respect to sup norm

functional-analysis

oct 30 '11 at 17:59 Michael Hardy 48.2k

votes

answers

278

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Show that $\int f=0$ implies $f=0$ a.e, given that $f$ is a nonnegative measurable function.

real-analysis measure-theory

may 21 '12 at 20:51 user17762 76.4k

votes

answers

241

views

A cyclic subsemigroup of a semigroup S that is a group

semigroups

mar 12 '12 at 9:19 Community♦ 1

votes

answer

397

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Does this contradict the Closed Graph Theorem?

functional-analysis

nov 2 '11 at 15:55 t.b. 43.2k

votes

answers

867

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Is the ideal generated by irreducible element in principal ideal domain maximal? [duplicate]

abstract-algebra

oct 29 '11 at 17:46 J. M. 38.9k

votes

answers

675

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Prove that the normed space $L^{\infty}$ equipped with $\lVert\cdot\rVert_{\infty}$ is complete. [duplicate]

real-analysis measure-theory banach-spaces

may 27 '12 at 11:07 Norbert 20.3k

votes

answer

352

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A vector without minimum norm in a Banach space

functional-analysis banach-spaces

nov 11 '11 at 22:51 leslie townes 3,440

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answer

338

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Any prime is irreducible

abstract-algebra ring-theory

nov 9 '11 at 13:33 Martin Sleziak 20.3k

votes

answer

398

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The necessary and sufficient condition for a unit element in Euclidean Domain

abstract-algebra ring-theory

nov 9 '11 at 13:33 Martin Sleziak 20.3k

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answers

views

Evan's theorem of embeddings into 2-generator semigroup.

semigroups

mar 24 at 5:14 Joris Buloron 1

vote

answer

327

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Show that $\liminf_{n\to \infty}x_{n}\le\alpha(x)\le\limsup_{n\to\infty}x_{n}$ for $x=(x_{n})$ in $\ell^{\infty}$

functional-analysis banach-spaces

sep 30 at 12:21 Martin Sleziak 20.3k

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answers

views

Is there any new improvement in the proof or disproof of the twin prime conjucture?

number-theory reference-request

jul 22 at 17:16 Hassan Muhammad 726

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answer

156

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Is $X_{n}\cap X_{m}=\emptyset$ for all $n\ne m$?

elementary-number-theory

jun 27 at 3:01 DonAntonio 46.9k

vote

answers

251

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How can I use Cauchy integral formula for this integral $g(z)=\int_{C}\frac{s^2+s+1}{s-z}ds$?

complex-analysis integration

jun 3 '12 at 7:25 Martin Sleziak 20.3k

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answer

views

Prove that $\mu(\bigcup_{i=1}^{\infty}\bigcap_{n=i}^{\infty}B_{n}) \le \liminf_{n\to \infty} \mu (B_{n})$ [duplicate]

real-analysis measure-theory

may 23 '12 at 18:07 Did 103k

vote

answers

views

Prove that for $n\ne -1$ $\frac{1}{2\pi i}\int_{C} z^ndz=0$

complex-analysis integration

apr 19 '12 at 3:54 Taxi Driver 7,273

vote

answers

118

views

Idempotent separating congruence of an inverse semigroup.

semigroups

mar 25 '12 at 22:26 Community♦ 1

vote

answers

169

views

$\mathcal{R}$-relation in full transformation semigroup

semigroups

mar 20 '12 at 11:54 scaaahu 505

vote

answers

161

views

Why is $\log(e^z)\ne z$ in complex analysis?

complex-analysis

mar 9 '12 at 6:07 Juan S 4,665

vote

answers

544

views

Why studying number theory? [closed]

elementary-number-theory soft-question

mar 7 '12 at 4:05 Patrick Da Silva 13.4k

vote

answer

850

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Analytic complex function which is constant.

complex-analysis

mar 1 '12 at 10:18 Paul 8,672