Question

Prove the even integers are countable (by explicitly giving a bijection $\mathbb{N} \to E$)

score 7.7k · Answer 1 · 2026-04-13 03:20:40

7.7k

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Prove the even integers are countable (by explicitly giving a bijection $\mathbb{N} \to E$)

Published on 13 Apr 2026 - 3:20

score 968 · Answer 2 · 2026-04-12 04:38:00

968

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Prove that closed interval is not open

Published on 12 Apr 2026 - 4:38

score 340 · Answer 3 · 2026-03-25 22:05:21

340

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If $X$ is an exponential random variable, does that mean $\lfloor X\rfloor$ and $X -\lfloor X\rfloor$ are independent?

Published on 25 Mar 2026 - 22:05

score 604 · Answer 4 · 2026-04-12 17:34:26

604

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All prime factors of $a^2+b^2$ can be written as the sum of squares or have even multiplicity.

Published on 12 Apr 2026 - 17:34

score 589 · Answer 5 · 2026-04-12 14:25:13

589

Views

Is my proof of Cantor-Bernstein-Schröder theorem correct?

Published on 12 Apr 2026 - 14:25

score 696 · Answer 6 · 2026-03-25 04:43:22

696

Views

show that if $G$ is a $2$-connected graph containing a vertex that is adjacent to at least three vertices of degree $2$, then $G$ is not Hamiltonian.

Published on 25 Mar 2026 - 4:43

score 53 · Answer 7 · 2026-03-29 23:45:46

53

Views

Show every point of $J = (-3, 3)$ is an interior point of $J$

Published on 29 Mar 2026 - 23:45

score 197 · Answer 8 · 2026-03-25 03:01:35

197

Views

Prove $\Bbb{N}$ is infinite from Peano axioms

Published on 25 Mar 2026 - 3:01

score 63 · Answer 9 · 2026-03-25 07:34:32

63

Views

Problem in trying to link chain rule and implicit differentiation

Published on 25 Mar 2026 - 7:34

score 76 · Answer 10 · 2026-03-29 23:45:25

76

Views

Prove that (x+y)^3 = x^3 + y^3 for only x =0 and y = 0

Published on 29 Mar 2026 - 23:45

score 53 · Answer 11 · 2018-05-01 18:01:53

53

Views

Prove complete iff $\mathcal{A} \equiv \mathcal{B}$

Published on 01 May 2018 - 18:01

score 157 · Answer 12 · 2026-03-29 23:44:11

157

Views

Does the sequence $x_{n+1}=2\sqrt{x_n}$ converge?

Published on 29 Mar 2026 - 23:44

score 29 · Answer 13 · 2026-04-13 08:13:40

29

Views

prove that locally minimal solution to n-town problem has roads meeting at 2pi/3

Published on 13 Apr 2026 - 8:13

score 51 · Answer 14 · 2026-04-11 23:49:57

51

Views

Trouble with algebraic manipulation: proving and factorisation

Published on 11 Apr 2026 - 23:49

score 146 · Answer 15 · 2026-04-13 10:00:07

146

Views

Let a, b, c, and d be integers, and let n be a positive integer:

Published on 13 Apr 2026 - 10:00

List Question

Prove the even integers are countable (by explicitly giving a bijection $\mathbb{N} \to E$)

Prove that closed interval is not open

If $X$ is an exponential random variable, does that mean $\lfloor X\rfloor$ and $X -\lfloor X\rfloor$ are independent?

All prime factors of $a^2+b^2$ can be written as the sum of squares or have even multiplicity.

Is my proof of Cantor-Bernstein-Schröder theorem correct?

show that if $G$ is a $2$-connected graph containing a vertex that is adjacent to at least three vertices of degree $2$, then $G$ is not Hamiltonian.

Show every point of $J = (-3, 3)$ is an interior point of $J$

Prove $\Bbb{N}$ is infinite from Peano axioms

Problem in trying to link chain rule and implicit differentiation

Prove that (x+y)^3 = x^3 + y^3 for only x =0 and y = 0

Prove complete iff $\mathcal{A} \equiv \mathcal{B}$

Does the sequence $x_{n+1}=2\sqrt{x_n}$ converge?

prove that locally minimal solution to n-town problem has roads meeting at 2pi/3

Trouble with algebraic manipulation: proving and factorisation

Let a, b, c, and d be integers, and let n be a positive integer:

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