Question

Given this axioms, prove: for $a, b \in \mathbb{Z}$ there is one and only one $c \in \mathbb{Z}$ such that $(a+b)c=a^2-b^2$

score 50 · Answer 1 · 2026-03-29 19:17:24

50

Views

Given this axioms, prove: for $a, b \in \mathbb{Z}$ there is one and only one $c \in \mathbb{Z}$ such that $(a+b)c=a^2-b^2$

Published on 29 Mar 2026 - 19:17

score 97 · Answer 2 · 2026-03-29 20:55:40

97

Views

Finding the partial derivatives of a function in terms of the partial derivatives of another function

Published on 29 Mar 2026 - 20:55

score 738 · Answer 3 · 2020-03-10 16:48:12

738

Views

$2\times2$ Lower triangular matrices form a subspace of $R^{2x2}$

Published on 10 Mar 2020 - 16:48

score 73 · Answer 4 · 2026-03-26 14:31:57

73

Views

Using Stoke's Theorem -Compute The Integral

Published on 26 Mar 2026 - 14:31

score 341 · Answer 5 · 2020-03-10 19:08:47

341

Views

Negating a statement with a interval

Published on 10 Mar 2020 - 19:08

score 64 · Answer 6 · 2020-03-10 19:49:09

64

Views

Show that series $\Sigma_{n=1}^{\infty} k(e^{\frac{3}{k}}-1)$ converges or diverges.

Published on 10 Mar 2020 - 19:49

score 60 · Answer 7 · 2026-03-28 11:43:34

60

Views

Proving that there exists $n,a \in \mathbb{N}$ such that $n = \sqrt{a+\sqrt{a+\sqrt{a+\sqrt{a+...}}}}$ for all $n \in \mathbb{N}$

Published on 28 Mar 2026 - 11:43

score 1.3k · Answer 8 · 2020-03-10 20:35:33

1.3k

Views

Proof that if the limit of a function exists then the function is bounded in a neighborhood.

Published on 10 Mar 2020 - 20:35

score 70 · Answer 9 · 2020-03-10 20:36:51

70

Views

Prove using induction that $1^2 + 3^2 + 5^2 + . . . + (2n + 1)^2 = (n + 1) ∗ (2n + 1) ∗ (2n + 3)/3$

Published on 10 Mar 2020 - 20:36

score 273 · Answer 10 · 2020-03-10 20:42:56

273

Views

Changing the order of finite double summations

Published on 10 Mar 2020 - 20:42

score 113 · Answer 11 · 2020-03-10 20:48:20

113

Views

Show that $f(f^{-1}(S)) = S$ for every $S\subseteq Y$ if and only if $f$ is surjective.

Published on 10 Mar 2020 - 20:48

score 1.5k · Answer 12 · 2020-03-10 21:21:17

1.5k

Views

Prove that any integer amount of postage from 18 cents and up can be made using only 4-cent and 7-cent stamp. Assume an infinite supply of stamps

Published on 10 Mar 2020 - 21:21

score 858 · Answer 13 · 2026-03-30 01:14:00

858

Views

If $ a + b = 4$, what is the value of $|4- a|+|4-b|$ ? ( $-4$ ? , $0$ ? , $4$ ? , $8$ ? , or impossible to determine? )

Published on 30 Mar 2026 - 1:14

score 94 · Answer 14 · 2026-04-03 01:52:59

94

Views

Regarding Normal Cones in a Banach Space

Published on 03 Apr 2026 - 1:52

score 59 · Answer 15 · 2020-03-11 00:36:51

59

Views

Is this a real contradiction? Where is the mistake?

Published on 11 Mar 2020 - 0:36

List Question

Given this axioms, prove: for $a, b \in \mathbb{Z}$ there is one and only one $c \in \mathbb{Z}$ such that $(a+b)c=a^2-b^2$

Finding the partial derivatives of a function in terms of the partial derivatives of another function

$2\times2$ Lower triangular matrices form a subspace of $R^{2x2}$

Using Stoke's Theorem -Compute The Integral

Negating a statement with a interval

Show that series $\Sigma_{n=1}^{\infty} k(e^{\frac{3}{k}}-1)$ converges or diverges.

Proving that there exists $n,a \in \mathbb{N}$ such that $n = \sqrt{a+\sqrt{a+\sqrt{a+\sqrt{a+...}}}}$ for all $n \in \mathbb{N}$

Proof that if the limit of a function exists then the function is bounded in a neighborhood.

Prove using induction that $1^2 + 3^2 + 5^2 + . . . + (2n + 1)^2 = (n + 1) ∗ (2n + 1) ∗ (2n + 3)/3$

Changing the order of finite double summations

Show that $f(f^{-1}(S)) = S$ for every $S\subseteq Y$ if and only if $f$ is surjective.

Prove that any integer amount of postage from 18 cents and up can be made using only 4-cent and 7-cent stamp. Assume an infinite supply of stamps

If $ a + b = 4$, what is the value of $|4- a|+|4-b|$ ? ( $-4$ ? , $0$ ? , $4$ ? , $8$ ? , or impossible to determine? )

Regarding Normal Cones in a Banach Space

Is this a real contradiction? Where is the mistake?

Trending Questions

Popular # Hahtags

Popular Questions