Question

Counterexample in relations: $(S \setminus T) \circ R \subseteq (S \circ R) \setminus (T \circ R)$

score 113 · Answer 1 · 2015-07-27 13:20:40

113

Views

Counterexample in relations: $(S \setminus T) \circ R \subseteq (S \circ R) \setminus (T \circ R)$

Published on 27 Jul 2015 - 13:20

score 346 · Answer 2 · 2015-07-28 09:14:27

346

Views

Show that the standard integral: $\int_{0}^{\infty} x^4\mathrm{e}^{-\alpha x^2}\mathrm dx =\frac{3}{8}{\left(\frac{\pi}{\alpha^5}\right)}^\frac{1}{2}$

Published on 28 Jul 2015 - 9:14

score 133 · Answer 3 · 2015-08-04 17:38:17

133

Views

PDE system for two composite functions

Published on 04 Aug 2015 - 17:38

score 326 · Answer 4 · 2015-08-10 00:02:48

326

Views

Is is true that: $f \circ g = g \circ f \implies$ $f$ is linear or $g$ is linear?

Published on 10 Aug 2015 - 0:02

score 157 · Answer 5 · 2015-08-11 10:15:09

157

Views

Continuity of the composition of continuous functions

Published on 11 Aug 2015 - 10:15

score 1.4k · Answer 6 · 2015-08-13 02:19:04

1.4k

Views

Proof of onto and one-to-one functions, composition

Published on 13 Aug 2015 - 2:19

score 362 · Answer 7 · 2015-08-15 04:28:59

362

Views

Let $h(z) = g(f(z))$. If two of the three functions $f$, $g$, and $h$ are holomorphic and non-constant, must the third also be holomorphic?

Published on 15 Aug 2015 - 4:28

score 764 · Answer 8 · 2015-08-22 10:26:26

764

Views

Composing Even and Odd Functions With Floors

Published on 22 Aug 2015 - 10:26

score 77 · Answer 9 · 2015-08-22 13:43:04

Suppose $f(x)$ and $g(x)$ are $1$−$1$ functions on their respective domains. Show that $f(g(x))$ is a $1$−$1$ function.

score 143 · Answer 10 · 2026-03-25 19:59:03

143

Views

Composition of polynomial and multiplicative is multiplicative .

Published on 25 Mar 2026 - 19:59

score 50 · Answer 11 · 2015-08-26 09:19:08

50

Views

How to solve diff. eq. involving function taking expression including itself as variable

Published on 26 Aug 2015 - 9:19

score 219 · Answer 12 · 2015-08-30 18:32:22

219

Views

Simplify these "basis functions" for universal computation?

Published on 30 Aug 2015 - 18:32

score 157 · Answer 13 · 2015-09-06 20:25:49

157

Views

Relation between continuity of $f$, $g$ and $f\circ g$

Published on 06 Sep 2015 - 20:25

score 73 · Answer 14 · 2015-09-08 06:21:19

73

Views

If $g(x) = x^2 + 3x + 1$ and $f \circ g = g\circ f$, then $f$ and $g$ intersect on the line $y = x$.

Published on 08 Sep 2015 - 6:21

score 19 · Answer 15 · 2026-03-26 09:21:47

19

Views

Prove or disprove the existence of f(k) when $\sum_{n=1}^m{\frac{a_n}{n^s}}=\sum_{n=1}^m\frac{a_n+f^n(x)}{n^s}$.

Published on 26 Mar 2026 - 9:21

List Question

Counterexample in relations: $(S \setminus T) \circ R \subseteq (S \circ R) \setminus (T \circ R)$

Show that the standard integral: $\int_{0}^{\infty} x^4\mathrm{e}^{-\alpha x^2}\mathrm dx =\frac{3}{8}{\left(\frac{\pi}{\alpha^5}\right)}^\frac{1}{2}$

PDE system for two composite functions

Is is true that: $f \circ g = g \circ f \implies$ $f$ is linear or $g$ is linear?

Continuity of the composition of continuous functions

Proof of onto and one-to-one functions, composition

Let $h(z) = g(f(z))$. If two of the three functions $f$, $g$, and $h$ are holomorphic and non-constant, must the third also be holomorphic?

Composing Even and Odd Functions With Floors

Suppose $f(x)$ and $g(x)$ are $1$−$1$ functions on their respective domains. Show that $f(g(x))$ is a $1$−$1$ function.

Composition of polynomial and multiplicative is multiplicative .

How to solve diff. eq. involving function taking expression including itself as variable

Simplify these "basis functions" for universal computation?

Relation between continuity of $f$, $g$ and $f\circ g$

If $g(x) = x^2 + 3x + 1$ and $f \circ g = g\circ f$, then $f$ and $g$ intersect on the line $y = x$.

Prove or disprove the existence of f(k) when $\sum_{n=1}^m{\frac{a_n}{n^s}}=\sum_{n=1}^m\frac{a_n+f^n(x)}{n^s}$.

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