Question

Show denotational semantics equivalence between `repeat` and `while`

score 112 · Answer 1 · 2026-03-24 23:53:29

112

Views

Show denotational semantics equivalence between `repeat` and `while`

Published on 24 Mar 2026 - 23:53

score 125 · Answer 2 · 2018-05-17 18:49:28

125

Views

What is the solution to the functional equation $f(f(f(x)))=x$?

Published on 17 May 2018 - 18:49

score 109 · Answer 3 · 2026-03-25 07:46:03

109

Views

$\int^1_0 f (f(x)t) \,\mathrm{d}t =\frac{1}{2}f(x)$ for every $x$

Published on 25 Mar 2026 - 7:46

score 40 · Answer 4 · 2026-03-25 04:41:30

40

Views

Specify the monotonicity based on the functional equation $f\bigl(f(x)\bigr)=f(x)-\frac{x}{4}$

Published on 25 Mar 2026 - 4:41

score 186 · Answer 5 · 2018-05-21 15:37:59

186

Views

A nontrivial solution for $ f(f(x)) = \exp(\exp(x)) $

Published on 21 May 2018 - 15:37

score 990 · Answer 6 · 2018-05-21 23:55:42

990

Views

Cauchy's functional equation -- additional condition

Published on 21 May 2018 - 23:55

score 115 · Answer 7 · 2018-05-22 18:07:37

115

Views

When a group-like algebraic structure is actually a group?

Published on 22 May 2018 - 18:07

score 82 · Answer 8 · 2018-05-25 11:23:44

82

Views

let $f( x + \frac{ 1}{ x } ) = x ^ 2 + \frac{ 1}{ x ^ 2} $ then $f(x)$ equals

Published on 25 May 2018 - 11:23

score 144 · Answer 9 · 2026-03-25 07:43:51

144

Views

Can the following functional equation be reduced to a standard ODE?

Published on 25 Mar 2026 - 7:43

score 278 · Answer 10 · 2018-05-28 15:40:53

278

Views

Solving the functional equation $f(f(x))=3x$ over the naturals.

Published on 28 May 2018 - 15:40

score 117 · Answer 11 · 2018-05-28 17:23:05

117

Views

Find the value of $f(2009)$ if $f(x-y)=\sqrt{f(xy)+1}$

Published on 28 May 2018 - 17:23

score 777 · Answer 12 · 2018-05-28 21:45:54

777

Views

Function which satisfies $f(x-f(x))=f(x)-1$

Published on 28 May 2018 - 21:45

score 695 · Answer 13 · 2018-05-28 23:03:08

695

Views

Class of integrals: $I(a)=\int_0^\infty \frac{dx}{e^x+ax}$

Published on 28 May 2018 - 23:03

score 489 · Answer 14 · 2018-05-30 07:20:32

489

Views

Find all real functions that satisfy $f(xy+x)+f(y)=f(xy+y)+f(x)$.

Published on 30 May 2018 - 7:20

score 2.1k · Answer 15 · 2018-05-30 15:01:18

2.1k

Views

Solving functional equation with partial differentiation

Published on 30 May 2018 - 15:01

List Question

Show denotational semantics equivalence between `repeat` and `while`

What is the solution to the functional equation $f(f(f(x)))=x$?

$\int^1_0 f (f(x)t) \,\mathrm{d}t =\frac{1}{2}f(x)$ for every $x$

Specify the monotonicity based on the functional equation $f\bigl(f(x)\bigr)=f(x)-\frac{x}{4}$

A nontrivial solution for $ f(f(x)) = \exp(\exp(x)) $

Cauchy's functional equation -- additional condition

When a group-like algebraic structure is actually a group?

let $f( x + \frac{ 1}{ x } ) = x ^ 2 + \frac{ 1}{ x ^ 2} $ then $f(x)$ equals

Can the following functional equation be reduced to a standard ODE?

Solving the functional equation $f(f(x))=3x$ over the naturals.

Find the value of $f(2009)$ if $f(x-y)=\sqrt{f(xy)+1}$

Function which satisfies $f(x-f(x))=f(x)-1$

Class of integrals: $I(a)=\int_0^\infty \frac{dx}{e^x+ax}$

Find all real functions that satisfy $f(xy+x)+f(y)=f(xy+y)+f(x)$.

Solving functional equation with partial differentiation

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