Question

Show not possible to find positive whole numbers $m,n$ such that $m^2 − n^2 = 6$.

score 204 · Answer 1 · 2020-04-05 05:45:38

204

Views

Show not possible to find positive whole numbers $m,n$ such that $m^2 − n^2 = 6$.

Published on 05 Apr 2020 - 5:45

score 105 · Answer 2 · 2020-04-05 06:31:53

105

Views

Prove that $|x|<|y| \iff x^2<y^2$.

Published on 05 Apr 2020 - 6:31

score 216 · Answer 3 · 2020-04-05 07:35:01

216

Views

If A is a square matrix, and A² = A, prove that the column space C(A) = { x ∊ Rⁿ | x = Ax }

Published on 05 Apr 2020 - 7:35

score 138 · Answer 4 · 2020-04-05 08:48:31

138

Views

Find $\lim _{n\to \infty}\frac{n-1}{n-2}$

Published on 05 Apr 2020 - 8:48

score 573 · Answer 5 · 2026-03-26 06:21:16

573

Views

Find stability function of Runge Kutta Method starting from a 3x4 Butcher Tableau

Published on 26 Mar 2026 - 6:21

score 113 · Answer 6 · 2020-04-05 12:07:46

113

Views

Big-O notation, equality

Published on 05 Apr 2020 - 12:07

score 90 · Answer 7 · 2026-03-28 13:41:40

90

Views

Bounds for the box dimension of the Koch curve with different definitions

Published on 28 Mar 2026 - 13:41

score 357 · Answer 8 · 2020-04-05 13:19:50

357

Views

Proof of Fatou's Lemma.

Published on 05 Apr 2020 - 13:19

score 2.1k · Answer 9 · 2020-04-05 15:14:56

2.1k

Views

Let $V$ be a vector space over $F$ such that $\dim(V) = n$. prove that $V$ is isomorphic to $F^n$.

Published on 05 Apr 2020 - 15:14

score 46 · Answer 10 · 2020-04-05 16:04:27

46

Views

Why can't we choose a simpler bound in this proof?

Published on 05 Apr 2020 - 16:04

score 147 · Answer 11 · 2020-04-05 17:18:28

147

Views

Proving that a rational map is an endomorphism of an elliptic curve

Published on 05 Apr 2020 - 17:18

score 28 · Answer 12 · 2020-04-05 18:20:08

A problem in my solution: find a polynomial $P(x)$ such that the derivative of $e^{-x^2}P(x)$ equals $0$ for $x=0$, $x=\pm a$ and $x=\pm b$.

score 5.2k · Answer 13 · 2020-04-05 18:43:58

5.2k

Views

Finding the triangle with the maximum area with a given perimeter

Published on 05 Apr 2020 - 18:43

score 94 · Answer 14 · 2026-03-30 04:39:56

94

Views

Prove that $\log(x!)$ is $O(x\log x)$

Published on 30 Mar 2026 - 4:39

score 106 · Answer 15 · 2020-04-05 19:09:11

106

Views

Prove that a given line is a horizontal asymptote for a given function

Published on 05 Apr 2020 - 19:09

List Question

Show not possible to find positive whole numbers $m,n$ such that $m^2 − n^2 = 6$.

Prove that $|x|<|y| \iff x^2<y^2$.

If A is a square matrix, and A² = A, prove that the column space C(A) = { x ∊ Rⁿ | x = Ax }

Find $\lim _{n\to \infty}\frac{n-1}{n-2}$

Find stability function of Runge Kutta Method starting from a 3x4 Butcher Tableau

Big-O notation, equality

Bounds for the box dimension of the Koch curve with different definitions

Proof of Fatou's Lemma.

Let $V$ be a vector space over $F$ such that $\dim(V) = n$. prove that $V$ is isomorphic to $F^n$.

Why can't we choose a simpler bound in this proof?

Proving that a rational map is an endomorphism of an elliptic curve

A problem in my solution: find a polynomial $P(x)$ such that the derivative of $e^{-x^2}P(x)$ equals $0$ for $x=0$, $x=\pm a$ and $x=\pm b$.

Finding the triangle with the maximum area with a given perimeter

Prove that $\log(x!)$ is $O(x\log x)$

Prove that a given line is a horizontal asymptote for a given function

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