Question

Let $X$ be uniformly distributed over $[-a , a]$. Let $Y=X^2$. Find the p.d.f of $Y$.

score 177 · Answer 1 · 2026-03-30 00:22:56

177

Views

Let $X$ be uniformly distributed over $[-a , a]$. Let $Y=X^2$. Find the p.d.f of $Y$.

Published on 30 Mar 2026 - 0:22

score 230 · Answer 2 · 2018-03-17 17:37:24

Let $f:X\rightarrow Y$ and $g:Y\rightarrow X$ satisfice $g\circ f=1_x$. Prove $f$ is injective and $g$ is surjective.

score 296 · Answer 3 · 2026-04-11 09:16:45

296

Views

Prove that Voronoi cells are path-connected

Published on 11 Apr 2026 - 9:16

score 74 · Answer 4 · 2026-04-11 05:15:35

74

Views

A "looser" word than "proportional" for relating two variables meaning "if x increases, y increases, and if x decreases, y decreases"

Published on 11 Apr 2026 - 5:15

score 44 · Answer 5 · 2018-03-17 22:08:59

44

Views

A functional property leads to an unexpected result.

Published on 17 Mar 2018 - 22:08

score 52 · Answer 6 · 2026-04-12 10:29:24

52

Views

If function is symmetrical about $(3,4)$. Then $\sum^{6}_{r=0}f(r)$

Published on 12 Apr 2026 - 10:29

score 26 · Answer 7 · 2026-04-11 18:11:46

26

Views

Finding the product of 2 functions with modulus

Published on 11 Apr 2026 - 18:11

score 86 · Answer 8 · 2026-04-09 04:50:32

86

Views

Function mapping definition and calculating with logic symbols

Published on 09 Apr 2026 - 4:50

score 24 · Answer 9 · 2026-04-09 17:27:00

24

Views

Let $g(x)$ be continuous for all $x$ and let $g(a+b) = g(a) + g(b)$ for all $a$,$b$...

Published on 09 Apr 2026 - 17:27

score 315 · Answer 10 · 2018-03-18 11:18:37

315

Views

If $\lim\limits_{x \to \infty} f(f(x))= \infty$, $\lim\limits_{x \to \infty} f(x)=\pm \infty$

Published on 18 Mar 2018 - 11:18

score 360 · Answer 11 · 2026-04-09 01:07:08

360

Views

Does identity exist for HCF/GCD of two numbers?

Published on 09 Apr 2026 - 1:07

score 305 · Answer 12 · 2026-04-08 16:50:28

305

Views

How to determine if a continuous function is uniformly continuous

Published on 08 Apr 2026 - 16:50

score 104 · Answer 13 · 2026-03-31 00:01:35

Continuity of the function $f(x)=\begin{cases} 3,\text{ if }0\leq x\leq1\\ 4,\text{ if }1< x<3\\ 5,\text{ if }3\leq x\leq10\\ \end{cases}$

score 125 · Answer 14 · 2026-04-11 23:12:31

125

Views

Is a limit of a sum of functions equal to the sum of their respective limits?

Published on 11 Apr 2026 - 23:12

score 91 · Answer 15 · 2026-03-25 08:12:58

91

Views

Inverse of the function $ f(x) = 1 - 1/x$ for all real numbers except 0

Published on 25 Mar 2026 - 8:12

List Question

Let $X$ be uniformly distributed over $[-a , a]$. Let $Y=X^2$. Find the p.d.f of $Y$.

Let $f:X\rightarrow Y$ and $g:Y\rightarrow X$ satisfice $g\circ f=1_x$. Prove $f$ is injective and $g$ is surjective.

Prove that Voronoi cells are path-connected

A "looser" word than "proportional" for relating two variables meaning "if x increases, y increases, and if x decreases, y decreases"

A functional property leads to an unexpected result.

If function is symmetrical about $(3,4)$. Then $\sum^{6}_{r=0}f(r)$

Finding the product of 2 functions with modulus

Function mapping definition and calculating with logic symbols

Let $g(x)$ be continuous for all $x$ and let $g(a+b) = g(a) + g(b)$ for all $a$,$b$...

If $\lim\limits_{x \to \infty} f(f(x))= \infty$, $\lim\limits_{x \to \infty} f(x)=\pm \infty$

Does identity exist for HCF/GCD of two numbers?

How to determine if a continuous function is uniformly continuous

Continuity of the function $f(x)=\begin{cases} 3,\text{ if }0\leq x\leq1\\ 4,\text{ if }1< x<3\\ 5,\text{ if }3\leq x\leq10\\ \end{cases}$

Is a limit of a sum of functions equal to the sum of their respective limits?

Inverse of the function $ f(x) = 1 - 1/x$ for all real numbers except 0

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