Question

Let f:(X, $d_X$) → (Y, $d_Y$). f continuous if and only if ∀x ∈ X and ∀ε > 0, exists δ > 0 such that ∀y ∈ X, dX(x , y) < δ ⇒ dY(f(x), f(y)) < ε

score 94 · Answer 1 · 2026-04-16 16:58:50

94

Views

Let f:(X, $d_X$) → (Y, $d_Y$). f continuous if and only if ∀x ∈ X and ∀ε > 0, exists δ > 0 such that ∀y ∈ X, dX(x , y) < δ ⇒ dY(f(x), f(y)) < ε

Published on 16 Apr 2026 - 16:58

score 41 · Answer 2 · 2026-04-20 13:55:47

41

Views

An verification about the solution of problem relating recursive relations

Published on 20 Apr 2026 - 13:55

score 169 · Answer 3 · 2026-04-10 13:16:55

169

Views

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Published on 10 Apr 2026 - 13:16

score 109 · Answer 4 · 2026-04-10 05:59:30

109

Views

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Published on 10 Apr 2026 - 5:59

score 257 · Answer 5 · 2026-04-13 15:48:41

257

Views

The Empty Set and Cartesian Product (Problem from Velleman's book).

Published on 13 Apr 2026 - 15:48

score 351 · Answer 6 · 2026-03-28 10:04:03

351

Views

Proof verification: $3n+3^k$ problem equivalent to the Collatz problem

Published on 28 Mar 2026 - 10:04

score 66 · Answer 7 · 2026-04-10 19:37:35

66

Views

On the factorisation of $\sin(x)$ and the infinite sum for $\cot(x)$

Published on 10 Apr 2026 - 19:37

score 58 · Answer 8 · 2026-04-24 08:31:09

58

Views

Taylor series estimation for the first four non-zero terms

Published on 24 Apr 2026 - 8:31

score 77 · Answer 9 · 2026-03-26 10:58:29

77

Views

Proof check: Filtration $\mathbb F$ is not right-continuous

Published on 26 Mar 2026 - 10:58

score 302 · Answer 10 · 2026-04-28 15:17:55

302

Views

Continuity of a multivariable function: doubts on how to reason

Published on 28 Apr 2026 - 15:17

score 42 · Answer 11 · 2026-04-11 10:52:36

42

Views

Show isolated singularity of analytic function in bounded region is removable

Published on 11 Apr 2026 - 10:52

score 50 · Answer 12 · 2026-04-15 13:51:10

50

Views

Is this the right approach to solving this proof?

Published on 15 Apr 2026 - 13:51

score 58 · Answer 13 · 2026-04-16 23:27:14

58

Views

$f(X)$ is irreducible if and only if $X^{\deg(f)}f(\frac{1}{X})$ is irreducible

Published on 16 Apr 2026 - 23:27

score 111 · Answer 14 · 2026-04-13 02:25:14

111

Views

Prove that there does not exist a convex polyhedron with three triangles, six pentagons, and five heptagons.

Published on 13 Apr 2026 - 2:25

score 171 · Answer 15 · 2026-04-14 20:01:03

171

Views

Mean Value Theorem applied to exponential function

Published on 14 Apr 2026 - 20:01

List Question

Let f:(X, $d_X$) → (Y, $d_Y$). f continuous if and only if ∀x ∈ X and ∀ε > 0, exists δ > 0 such that ∀y ∈ X, dX(x , y) < δ ⇒ dY(f(x), f(y)) < ε

An verification about the solution of problem relating recursive relations

Optimizing Cardboard Box Dimensions

Does negative real solution exist?

The Empty Set and Cartesian Product (Problem from Velleman's book).

Proof verification: $3n+3^k$ problem equivalent to the Collatz problem

On the factorisation of $\sin(x)$ and the infinite sum for $\cot(x)$

Taylor series estimation for the first four non-zero terms

Proof check: Filtration $\mathbb F$ is not right-continuous

Continuity of a multivariable function: doubts on how to reason

Show isolated singularity of analytic function in bounded region is removable

Is this the right approach to solving this proof?

$f(X)$ is irreducible if and only if $X^{\deg(f)}f(\frac{1}{X})$ is irreducible

Prove that there does not exist a convex polyhedron with three triangles, six pentagons, and five heptagons.

Mean Value Theorem applied to exponential function

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