Question

Prove a function is onto if its domain is a Cartesian product

score 453 · Answer 1 · 2026-04-12 13:14:17

453

Views

Prove a function is onto if its domain is a Cartesian product

Published on 12 Apr 2026 - 13:14

score 88 · Answer 2 · 2026-04-13 19:35:32

88

Views

Set theory question regarding $A\overline{\sim} B = \{x+y : <x,y>\in A\times B\}$

Published on 13 Apr 2026 - 19:35

score 96 · Answer 3 · 2026-04-15 06:47:33

96

Views

Let $n\in\mathbb{N}$ and $z\in\mathbb{C}$ with $|z|=1$ and $z^{2n}\neq-1$. Prove that $\frac{z^n}{1+z^{2n}}\in\mathbb{R}$.

Published on 15 Apr 2026 - 6:47

score 38 · Answer 4 · 2026-04-16 02:18:43

38

Views

Showing the equivalences of two structures on a category - only structure of proof

Published on 16 Apr 2026 - 2:18

score 259 · Answer 5 · 2026-04-12 08:42:20

259

Views

Proving that a closed, non-orientable surface cannot be embedded in $\mathbb{R}^{3}$ using Euler characteristic

Published on 12 Apr 2026 - 8:42

score 111 · Answer 6 · 2026-04-15 12:31:11

111

Views

Prove that $\forall \epsilon>0, \epsilon>a \implies 0 \geq a$

Published on 15 Apr 2026 - 12:31

score 185 · Answer 7 · 2026-04-14 03:55:28

185

Views

Prove that root of number is rational.

Published on 14 Apr 2026 - 3:55

score 46 · Answer 8 · 2026-04-08 23:51:00

46

Views

Proof of root decomposition

Published on 08 Apr 2026 - 23:51

score 95 · Answer 9 · 2026-04-15 16:53:23

95

Views

Limits: factoring out $x$ from $\lim_\limits{x\to +\infty}\left(\frac{5-x^3}{8x+2}\right)$

Published on 15 Apr 2026 - 16:53

score 348 · Answer 10 · 2026-04-14 17:36:11

348

Views

Let $A$ be an infinite set and B a countable set, show that $\vert A \cup B \vert = \vert A \vert$

Published on 14 Apr 2026 - 17:36

score 964 · Answer 11 · 2026-04-15 15:12:02

964

Views

Prove that n squared is less than or equal to 2 to the n by induction.

Published on 15 Apr 2026 - 15:12

score 400 · Answer 12 · 2026-04-14 06:59:34

400

Views

Mathematical proofs involving countable and uncountable sets

Published on 14 Apr 2026 - 6:59

score 619 · Answer 13 · 2026-04-13 20:50:59

619

Views

I've worked out the reasoning, but how do I write the proof?

Published on 13 Apr 2026 - 20:50

score 683 · Answer 14 · 2026-04-12 16:01:23

683

Views

An infinite set has always a countably infinite subset?

Published on 12 Apr 2026 - 16:01

score 392 · Answer 15 · 2026-04-15 22:00:58

392

Views

Find $f^{−100}g^{146}f^{301}$ (permutations to high powers)

Published on 15 Apr 2026 - 22:00

List Question

Prove a function is onto if its domain is a Cartesian product

Set theory question regarding $A\overline{\sim} B = \{x+y : <x,y>\in A\times B\}$

Let $n\in\mathbb{N}$ and $z\in\mathbb{C}$ with $|z|=1$ and $z^{2n}\neq-1$. Prove that $\frac{z^n}{1+z^{2n}}\in\mathbb{R}$.

Showing the equivalences of two structures on a category - only structure of proof

Proving that a closed, non-orientable surface cannot be embedded in $\mathbb{R}^{3}$ using Euler characteristic

Prove that $\forall \epsilon>0, \epsilon>a \implies 0 \geq a$

Prove that root of number is rational.

Proof of root decomposition

Limits: factoring out $x$ from $\lim_\limits{x\to +\infty}\left(\frac{5-x^3}{8x+2}\right)$

Let $A$ be an infinite set and B a countable set, show that $\vert A \cup B \vert = \vert A \vert$

Prove that n squared is less than or equal to 2 to the n by induction.

Mathematical proofs involving countable and uncountable sets

I've worked out the reasoning, but how do I write the proof?

An infinite set has always a countably infinite subset?

Find $f^{−100}g^{146}f^{301}$ (permutations to high powers)

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