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ParaH2

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65 Questions

Views Newest Activity Votes

votes

answers

views

How to show this formula to get a square root of a number in “just few seconds” is true?

Jul 5 at 19:03 TurlocTheRed 1,518

votes

answers

375

views

Limit of product with prime numbers

calculus infinite-product

Feb 24 '15 at 19:22 marty cohen 86k

votes

answers

457

views

Game for mathematicians about differentiation of polynomials and subtractions in their coefficients.

polynomials combinatorial-game-theory

Oct 29 '15 at 5:55 Théophile 21.4k

votes

answers

336

views

What is the interest of duality in algebra, and in general in mathematics?

soft-question duality-theorems

Aug 24 '15 at 1:10 ParaH2 1,510

votes

answers

387

views

Closed form for $\prod_{k=0}^n\binom{n}{k}x^ky^{n-k}$.

calculus binomial-coefficients products

Apr 27 '17 at 5:19 A---B 3,202

votes

answers

950

views

What are hyperreal numbers?

nonstandard-analysis

Mar 8 '17 at 13:13 Mikhail Katz 32.9k

votes

answers

views

Exercise about Matrix diagonalization

linear-algebra diagonalization

Feb 15 '17 at 19:23 User 13

votes

answers

104

views

How to solve the integral: $\int {\sqrt{1+\sqrt{x}}}/x dx$

integration

Feb 15 '17 at 19:18 Nigel Overmars 2,960

votes

answers

100

views

Why the limit is $\frac{x}{1+x}$ and not 1

calculus limits limits-without-lhopital

Dec 22 '16 at 16:37 Duchamp Gérard H. E. 2,886

votes

answer

134

views

Is sinus an unique function?

real-analysis analysis

May 21 '16 at 15:09 David K 62.6k

votes

answer

125

views

Prove an equality between infinite product and gamma function [closed]

calculus

Apr 25 '16 at 22:13 Fimpellizieri 18.7k

votes

answers

views

Is the concatenation of all prime numbers, a universe/disjunctive number? [duplicate]

number-theory prime-numbers

Mar 25 '16 at 18:43 ParaH2 1,510

votes

answer

122

views

Is this equality $\lim_{x \to \infty} \int_0^x \frac{t^2}{2(e^t-1)}\mathrm{d}t=\lim_{n \to \infty}\sum_{k=1}^n \frac{1}{k^3}$ true?

calculus integration limits improper-integrals

Dec 31 '15 at 3:46 Claude Leibovici 142k

votes

answers

470

views

Set and subsets link by prime numbers

combinatorics prime-numbers

May 24 '15 at 2:48 user21820 43.4k

votes

answers

172

views

Is it possible to calculate for example $\int_{0}^{1} x \mathrm{d}2x$

integration

Apr 17 '15 at 19:31 Timbuc 31.6k

votes

answers

125

views

Generalization of minimisation problem

optimization euclidean-algorithm

Jul 26 '17 at 8:31 José Carlos Santos 234k

votes

answers

views

What is the integral of x/ln(x)?

calculus integration definite-integrals logarithms

Feb 15 '17 at 19:35 ParaH2 1,510

votes

answers

views

Division sum “DS” of a number

calculus limits

Feb 15 '17 at 19:22 User 13

votes

answer

158

views

Is Pythagore's Theorem easy?

calculus

Aug 3 '16 at 23:40 Michael Hardy 227k

votes

answers

views

Is $S(a \cdot b)$ always less than $S(a) \cdot S(b)$

calculus summation

Aug 22 '15 at 15:29 Ennar 15.9k

votes

answer

270

views

About the squares in square packing problem with 11 squares

calculus packing-problem

Jun 3 '15 at 17:55 nbubis 29.8k

votes

answers

215

views

Soft question about logic and Banach-Tarski Paradox

logic paradoxes

May 9 '15 at 20:53 David Holden 16.5k

votes

answers

899

views

What happend if the divergence of a vector field is zero?

operator-theory translation-request

Apr 12 '15 at 8:49 Archaick 2,201

votes

answer

120

views

What can I do with half-derivative?

fractional-calculus translation-request

Feb 1 '15 at 9:06 JJacquelin 50.2k

votes

answers

318

views

Integral $\int\frac{(\sin(x))^2}{x^2+1} dx$

calculus real-analysis integration improper-integrals

Jan 13 '15 at 1:58 Jack D'Aurizio 308k

votes

answer

162

views

Is it always possible to use Chasles to decompose an integral?

integration analysis soft-question definite-integrals

Jan 3 '15 at 3:38 aes 6,579

votes

answer

views

Does $ \lim_{n \to \infty} \frac{\operatorname{exp}(H_n)}{n+1} $ exist? [closed]

limits eulers-constant

Dec 26 '14 at 22:17 apnorton 16.4k

votes

answer

views

Idea to solve $\frac{dy}{dx}+x(x+y)=x^3(x+y)^3$ ?

ordinary-differential-equations

Sep 27 '14 at 22:00 doraemonpaul 14.2k

votes

answer

128

views

Can we use taylor series to solve difficult equations (example with cos(x)=x)?

real-analysis taylor-expansion

Jul 19 '14 at 4:12 Claude Leibovici 142k

vote

answer

views

Mass diffusion equation for the time prediction of Ostwald Ripening

ordinary-differential-equations physics

Feb 15 '18 at 21:43 Mehrdad Zandigohar 1,551

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65 Questions

How to show this formula to get a square root of a number in “just few seconds” is true?

Limit of product with prime numbers

Game for mathematicians about differentiation of polynomials and subtractions in their coefficients.

What is the interest of duality in algebra, and in general in mathematics?

Closed form for $\prod_{k=0}^n\binom{n}{k}x^ky^{n-k}$.

What are hyperreal numbers?

Exercise about Matrix diagonalization

How to solve the integral: $\int {\sqrt{1+\sqrt{x}}}/x dx$

Why the limit is $\frac{x}{1+x}$ and not 1

Is sinus an unique function?

Prove an equality between infinite product and gamma function [closed]

Is the concatenation of all prime numbers, a universe/disjunctive number? [duplicate]

Is this equality $\lim_{x \to \infty} \int_0^x \frac{t^2}{2(e^t-1)}\mathrm{d}t=\lim_{n \to \infty}\sum_{k=1}^n \frac{1}{k^3}$ true?

Set and subsets link by prime numbers

Is it possible to calculate for example $\int_{0}^{1} x \mathrm{d}2x$

Generalization of minimisation problem

What is the integral of x/ln(x)?

Division sum “DS” of a number

Is Pythagore's Theorem easy?

Is $S(a \cdot b)$ always less than $S(a) \cdot S(b)$

About the squares in square packing problem with 11 squares

Soft question about logic and Banach-Tarski Paradox

What happend if the divergence of a vector field is zero?

What can I do with half-derivative?

Integral $\int\frac{(\sin(x))^2}{x^2+1} dx$

Is it always possible to use Chasles to decompose an integral?

Does $ \lim_{n \to \infty} \frac{\operatorname{exp}(H_n)}{n+1} $ exist? [closed]

Idea to solve $\frac{dy}{dx}+x(x+y)=x^3(x+y)^3$ ?

Can we use taylor series to solve difficult equations (example with cos(x)=x)?

Mass diffusion equation for the time prediction of Ostwald Ripening