Question

Property of Diffeomorphism

score 51 · Answer 1 · 2026-04-08 08:05:01

51

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Property of Diffeomorphism

Published on 08 Apr 2026 - 8:05

score 1k · Answer 2 · 2026-04-16 23:53:32

1k

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If $a > b > 1$ and $\frac{1}{log_a(b)} + \frac{1}{log_b(a)} = \sqrt{1229}$ , find the value of :- $\frac{1}{log_{ab}(b)} - \frac{1}{log_{ab}(a)}$

Published on 16 Apr 2026 - 23:53

score 62 · Answer 3 · 2026-04-17 14:01:07

62

Views

Solving $\sin(f(x))=g\left(x\right)$ for $x$

Published on 17 Apr 2026 - 14:01

score 130 · Answer 4 · 2026-04-16 01:59:44

130

Views

Simplifying $ 1^5+2^5+3^5+\dots+14^5+15^5 \pmod{13} $

Published on 16 Apr 2026 - 1:59

score 81 · Answer 5 · 2026-04-16 15:18:23

81

Views

Proving two domains not to be conformally equivalent and property of holomorphic map

Published on 16 Apr 2026 - 15:18

score 35 · Answer 6 · 2026-04-14 03:51:50

35

Views

Find function for given values

Published on 14 Apr 2026 - 3:51

score 273 · Answer 7 · 2026-04-17 06:31:56

273

Views

Solve $x^5 - 1 = y^2$ for integer values of $(x,y)$ .

Published on 17 Apr 2026 - 6:31

score 158 · Answer 8 · 2026-04-13 06:29:51

158

Views

Find the height of triangle with constant perimeter fixed base and movable apex

Published on 13 Apr 2026 - 6:29

score 1.1k · Answer 9 · 2026-04-10 22:01:16

1.1k

Views

The number of ways of choosing $3$ distinct numbers from first $15$ natural numbers such that no two are consecutive

Published on 10 Apr 2026 - 22:01

score 69 · Answer 10 · 2026-04-11 10:22:14

69

Views

Curves in $\mathbb{R}^3$ with given properties

Published on 11 Apr 2026 - 10:22

score 519 · Answer 11 · 2026-04-16 13:06:26

519

Views

If $S = \sum_{k=1}^{99} \frac{(-1)^{k+1}}{\sqrt{k(k+1)}(\sqrt{k+1} - \sqrt{k})}$ , find $10S$

Published on 16 Apr 2026 - 13:06

score 83 · Answer 12 · 2026-04-15 22:28:47

83

Views

If $\sum_{i\in F} a_i$ is finite then $a_i =0$ except for countably many $i\in F$

Published on 15 Apr 2026 - 22:28

score 92 · Answer 13 · 2026-04-13 05:54:42

92

Views

A very interesting problem in geometry, with a surprisingly easy solution

Published on 13 Apr 2026 - 5:54

score 729 · Answer 14 · 2026-04-17 09:32:45

729

Views

An integral domain R such that every non-zero prime ideal of R[X] is maximal

Published on 17 Apr 2026 - 9:32

score 110 · Answer 15 · 2026-04-17 10:28:31

110

Views

Find $f(a,b,c),g(a,b,c)\geqslant 0$ so that $7abc-\sum ab(a+b)= f ( a, b, c )+ ( \,a- b \, ) \cdot g ( a, b, c)$

Published on 17 Apr 2026 - 10:28

List Question

Property of Diffeomorphism

If $a > b > 1$ and $\frac{1}{log_a(b)} + \frac{1}{log_b(a)} = \sqrt{1229}$ , find the value of :- $\frac{1}{log_{ab}(b)} - \frac{1}{log_{ab}(a)}$

Solving $\sin(f(x))=g\left(x\right)$ for $x$

Simplifying $ 1^5+2^5+3^5+\dots+14^5+15^5 \pmod{13} $

Proving two domains not to be conformally equivalent and property of holomorphic map

Find function for given values

Solve $x^5 - 1 = y^2$ for integer values of $(x,y)$ .

Find the height of triangle with constant perimeter fixed base and movable apex

The number of ways of choosing $3$ distinct numbers from first $15$ natural numbers such that no two are consecutive

Curves in $\mathbb{R}^3$ with given properties

If $S = \sum_{k=1}^{99} \frac{(-1)^{k+1}}{\sqrt{k(k+1)}(\sqrt{k+1} - \sqrt{k})}$ , find $10S$

If $\sum_{i\in F} a_i$ is finite then $a_i =0$ except for countably many $i\in F$

A very interesting problem in geometry, with a surprisingly easy solution

An integral domain R such that every non-zero prime ideal of R[X] is maximal

Find $f(a,b,c),g(a,b,c)\geqslant 0$ so that $7abc-\sum ab(a+b)= f ( a, b, c )+ ( \,a- b \, ) \cdot g ( a, b, c)$

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