Question

Proof that the infinity of all continuous functions is greater than the infinity of reals

score 105 · Answer 1 · 2026-04-11 13:07:47

105

Views

Proof that the infinity of all continuous functions is greater than the infinity of reals

Published on 11 Apr 2026 - 13:07

score 228 · Answer 2 · 2026-04-12 02:49:20

228

Views

Alternative way to verify a function of $\mathbb R^2$ is strictly convex?

Published on 12 Apr 2026 - 2:49

score 145 · Answer 3 · 2026-04-15 16:38:19

145

Views

Flaw in evaluating $\lim_{x\to \infty}\left(\frac{P(x)}{5(x-1)}\right)^x$

Published on 15 Apr 2026 - 16:38

score 811 · Answer 4 · 2026-04-17 06:29:19

811

Views

Find the period of $g(x) = f(2^x,0)$ for $f(x,y) = f(2x + 2y, 2y - 2x)$

Published on 17 Apr 2026 - 6:29

score 83 · Answer 5 · 2026-04-10 02:43:07

83

Views

Function properties preserved under a change of metrics?

Published on 10 Apr 2026 - 2:43

score 70 · Answer 6 · 2026-04-12 06:43:28

70

Views

proof a function is surjective

Published on 12 Apr 2026 - 6:43

score 114 · Answer 7 · 2026-04-15 09:48:50

114

Views

$[0,1]$ is topologically same as $[-1,1]$ mean?

Published on 15 Apr 2026 - 9:48

score 55 · Answer 8 · 2026-04-16 02:08:33

55

Views

With $\Delta=\{(x,\cdots,x)\}$, the set $\{f:X^n\to X^n| \ f\ \text{bijective and}\ f(\Delta)=\Delta\}$ is infinite for all $n\ge1$ if $X$ is infinite

Published on 16 Apr 2026 - 2:08

score 46 · Answer 9 · 2026-04-11 03:41:50

46

Views

How to "increment" to the next possible function

Published on 11 Apr 2026 - 3:41

score 211 · Answer 10 · 2026-04-13 13:23:14

211

Views

Find minimum and maximum values of a function in a closed and bounded subset

Published on 13 Apr 2026 - 13:23

score 39 · Answer 11 · 2026-04-24 09:34:57

39

Views

Basic Question about absolutely continuous functions

Published on 24 Apr 2026 - 9:34

score 96 · Answer 12 · 2026-04-11 03:16:33

96

Views

Functional equation; Find $p(x)$

Published on 11 Apr 2026 - 3:16

score 55 · Answer 13 · 2026-04-10 02:43:31

55

Views

Functions and their properties

Published on 10 Apr 2026 - 2:43

score 675 · Answer 14 · 2026-04-22 14:43:14

Find all such mappings where $A=\{1,2,3,4\}$, $B=\{1,2,3,4,5,6\}$ and $f:A \to B$ is an injective mapping such that $f(i) \neq i ~\forall i=1,2,3,4$.

score 148 · Answer 15 · 2026-04-14 18:40:02

148

Views

Which kind of functions $f(x, \ y)$ can be written as $g(x)\cdot h(y)$?

Published on 14 Apr 2026 - 18:40

List Question

Proof that the infinity of all continuous functions is greater than the infinity of reals

Alternative way to verify a function of $\mathbb R^2$ is strictly convex?

Flaw in evaluating $\lim_{x\to \infty}\left(\frac{P(x)}{5(x-1)}\right)^x$

Find the period of $g(x) = f(2^x,0)$ for $f(x,y) = f(2x + 2y, 2y - 2x)$

Function properties preserved under a change of metrics?

proof a function is surjective

$[0,1]$ is topologically same as $[-1,1]$ mean?

With $\Delta=\{(x,\cdots,x)\}$, the set $\{f:X^n\to X^n| \ f\ \text{bijective and}\ f(\Delta)=\Delta\}$ is infinite for all $n\ge1$ if $X$ is infinite

How to "increment" to the next possible function

Find minimum and maximum values of a function in a closed and bounded subset

Basic Question about absolutely continuous functions

Functional equation; Find $p(x)$

Functions and their properties

Find all such mappings where $A=\{1,2,3,4\}$, $B=\{1,2,3,4,5,6\}$ and $f:A \to B$ is an injective mapping such that $f(i) \neq i ~\forall i=1,2,3,4$.

Which kind of functions $f(x, \ y)$ can be written as $g(x)\cdot h(y)$?

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