Question

Proving that there are no other positive integer solutions to $y = \frac{3(x-5)}{(x-7)}$

score 79 · Answer 1 · 2026-04-16 04:54:38

79

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Proving that there are no other positive integer solutions to $y = \frac{3(x-5)}{(x-7)}$

Published on 16 Apr 2026 - 4:54

score 1.2k · Answer 2 · 2026-04-15 00:27:21

1.2k

Views

Show that if f is strictly increasing on A, then inverse f is strictly increasing on B

Published on 15 Apr 2026 - 0:27

score 47 · Answer 3 · 2026-04-13 21:23:28

47

Views

Product of any 2 p-based loops is again a p-based loop.

Published on 13 Apr 2026 - 21:23

score 441 · Answer 4 · 2026-04-16 10:06:32

441

Views

Proving the existence of identity of the fundamental group of homotopy theory $ \pi ( X,p)$

Published on 16 Apr 2026 - 10:06

score 420 · Answer 5 · 2026-04-10 12:53:23

420

Views

How do I prove the existence of inverse of the fundamental group $ \pi ( X)$.

Published on 10 Apr 2026 - 12:53

score 198 · Answer 6 · 2026-04-12 06:46:52

198

Views

(Proof writing) Logical translation of a mathematical proposition

Published on 12 Apr 2026 - 6:46

score 2.1k · Answer 7 · 2026-04-15 15:01:01

2.1k

Views

Proof that $X \subseteq Y$ if and only if $X \cup Y = Y$

Published on 15 Apr 2026 - 15:01

score 70 · Answer 8 · 2026-04-15 17:35:48

70

Views

Show $D = \{f \in C^{2}[0,1]): f(x) > 0, \ \forall x \in [0,1], \|f'\|_{\infty}<1, |f''(0)| > 2\}$ is open w.r.t Sup Norm. Full Proof Verification

Published on 15 Apr 2026 - 17:35

score 118 · Answer 9 · 2026-04-08 17:31:08

118

Views

Properties of Two Inequalities

Published on 08 Apr 2026 - 17:31

score 94 · Answer 10 · 2026-04-17 13:42:45

94

Views

Did I show that this is a basis for a topology on $X=\Bbb N \cup \{-1/n | n \in \Bbb N \}$ correctly?

Published on 17 Apr 2026 - 13:42

score 86 · Answer 11 · 2026-04-15 13:55:04

86

Views

Have I proved that $f$ is not continuous correctly?

Published on 15 Apr 2026 - 13:55

score 1.6k · Answer 12 · 2026-04-16 03:38:18

1.6k

Views

Prove that $\{\cos x, \sin x, e^x, e^{-x}\}$ is a linearly independent subset of $C^\infty (\mathbb R)$

Published on 16 Apr 2026 - 3:38

score 73 · Answer 13 · 2026-04-13 23:16:12

73

Views

Topology question interior of a set

Published on 13 Apr 2026 - 23:16

score 108 · Answer 14 · 2026-04-13 19:08:56

108

Views

Topology closure

Published on 13 Apr 2026 - 19:08

score 3.3k · Answer 15 · 2026-04-17 02:45:06

3.3k

Views

Prove that if $S$ and $T$ are subspaces of $V$, then so is $S\cap T$

Published on 17 Apr 2026 - 2:45

List Question

Proving that there are no other positive integer solutions to $y = \frac{3(x-5)}{(x-7)}$

Show that if f is strictly increasing on A, then inverse f is strictly increasing on B

Product of any 2 p-based loops is again a p-based loop.

Proving the existence of identity of the fundamental group of homotopy theory $ \pi ( X,p)$

How do I prove the existence of inverse of the fundamental group $ \pi ( X)$.

(Proof writing) Logical translation of a mathematical proposition

Proof that $X \subseteq Y$ if and only if $X \cup Y = Y$

Show $D = \{f \in C^{2}[0,1]): f(x) > 0, \ \forall x \in [0,1], \|f'\|_{\infty}<1, |f''(0)| > 2\}$ is open w.r.t Sup Norm. Full Proof Verification

Properties of Two Inequalities

Did I show that this is a basis for a topology on $X=\Bbb N \cup \{-1/n | n \in \Bbb N \}$ correctly?

Have I proved that $f$ is not continuous correctly?

Prove that $\{\cos x, \sin x, e^x, e^{-x}\}$ is a linearly independent subset of $C^\infty (\mathbb R)$

Topology question interior of a set

Topology closure

Prove that if $S$ and $T$ are subspaces of $V$, then so is $S\cap T$

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