Question

Plotting for solution for $y=x^2$ and $x^2 + y^2 = a $

score 39 · Answer 1 · 2013-01-31 04:10:00

39

Views

Plotting for solution for $y=x^2$ and $x^2 + y^2 = a $

Published on 31 Jan 2013 - 4:10

score 344 · Answer 2 · 2013-01-31 15:05:49

344

Views

Strictly monotone functions such that $x= f(\frac{x^2}{f(x)})$

Published on 31 Jan 2013 - 15:05

score 269 · Answer 3 · 2013-02-02 00:17:45

269

Views

Uniqueness of solution for the functional equation $f(x)=\frac{x}{2}f\left(\frac{x}{2}\right)+h(x)$

Published on 02 Feb 2013 - 0:17

score 3.2k · Answer 4 · 2013-02-02 13:48:20

3.2k

Views

Find all the functions which satisfy the functional equation $f(y+f(x))=f(x)f(y)+f(f(x))+f(y)-xy$.

Published on 02 Feb 2013 - 13:48

score 22.3k · Answer 5 · 2026-04-11 19:49:13

22.3k

Views

How do I prove that $f(x)f(y)=f(x+y)$ implies that $f(x)=e^{cx}$, assuming f is continuous and not zero?

Published on 11 Apr 2026 - 19:49

score 127 · Answer 6 · 2013-02-05 20:17:22

127

Views

What's the solution of the functional equation $ f \big( g ( x ) + y \big) = g \big( f ( x ) + x \big) $?

Published on 05 Feb 2013 - 20:17

score 340 · Answer 7 · 2026-04-12 00:07:52

340

Views

simplifying "$\prod_{a\in A}\sum_{b\in B_a}{h(a,b)}$"

Published on 12 Apr 2026 - 0:07

score 191 · Answer 8 · 2026-04-11 16:09:03

191

Views

Are all functions on vectors in $GF(2^n)$ representable as polynomial functions?

Published on 11 Apr 2026 - 16:09

score 284 · Answer 9 · 2026-04-11 07:00:57

284

Views

How to create equations to measure time spending in executing algorithms?

Published on 11 Apr 2026 - 7:00

score 964 · Answer 10 · 2013-02-11 20:36:20

964

Views

If $f(x/2)=f(x)/2$, then $f(x)=f'(0)x$

Published on 11 Feb 2013 - 20:36

score 108 · Answer 11 · 2013-02-13 18:36:34

108

Views

What's the solution of the functional equation $f(g(x)+y) = g(f(x)+y)$?

Published on 13 Feb 2013 - 18:36

score 45 · Answer 12 · 2013-02-13 22:48:51

45

Views

Funcional Equations:I'm confused

Published on 13 Feb 2013 - 22:48

score 25.6k · Answer 13 · 2013-02-23 22:37:57

25.6k

Views

Find a real function $f:\mathbb{R}\to\mathbb{R}$ such that $f(f(x)) = -x$?

Published on 23 Feb 2013 - 22:37

score 762 · Answer 14 · 2013-02-25 13:58:52

762

Views

Find all the function that satisfy : $f\left(\frac{xf(y)}{2}\right)+f\left(\frac{yf(x)}{2}\right)=4xy$

Published on 25 Feb 2013 - 13:58

score 102 · Answer 15 · 2026-04-11 17:01:55

102

Views

What are the densities of branches of the euclidean tree?

Published on 11 Apr 2026 - 17:01

List Question

Plotting for solution for $y=x^2$ and $x^2 + y^2 = a $

Strictly monotone functions such that $x= f(\frac{x^2}{f(x)})$

Uniqueness of solution for the functional equation $f(x)=\frac{x}{2}f\left(\frac{x}{2}\right)+h(x)$

Find all the functions which satisfy the functional equation $f(y+f(x))=f(x)f(y)+f(f(x))+f(y)-xy$.

How do I prove that $f(x)f(y)=f(x+y)$ implies that $f(x)=e^{cx}$, assuming f is continuous and not zero?

What's the solution of the functional equation $ f \big( g ( x ) + y \big) = g \big( f ( x ) + x \big) $?

simplifying "$\prod_{a\in A}\sum_{b\in B_a}{h(a,b)}$"

Are all functions on vectors in $GF(2^n)$ representable as polynomial functions?

How to create equations to measure time spending in executing algorithms?

If $f(x/2)=f(x)/2$, then $f(x)=f'(0)x$

What's the solution of the functional equation $f(g(x)+y) = g(f(x)+y)$?

Funcional Equations:I'm confused

Find a real function $f:\mathbb{R}\to\mathbb{R}$ such that $f(f(x)) = -x$?

Find all the function that satisfy : $f\left(\frac{xf(y)}{2}\right)+f\left(\frac{yf(x)}{2}\right)=4xy$

What are the densities of branches of the euclidean tree?

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