List questions from function-and-relation-composition

Published on 27 Feb 2015 - 12:14

1.8k

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Can the composition of two non-invertible functions be invertible?

Published on 28 Feb 2015 - 13:18

105

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When does differentiability of $g\circ f$ and $f$ resp. $g$ imply differentiablity of $g$ resp. $f$?

Published on 02 Mar 2015 - 16:35

591

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What is a composition of two binary relations geometrically?

Published on 27 Mar 2026 - 13:39

121

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If $ f(x) = \left\{\frac{3x}{2}\right\}\;,$ Where $\{x\}=x-\lfloor x \rfloor$. Then real solution of $f(f(x))=0$

Published on 13 Mar 2015 - 10:50

1.8k

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Which symbol to use for composition of a sequence of functions

Published on 19 Mar 2015 - 15:05

164

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Geometric description of composition of two convex polygons?

Published on 22 Mar 2015 - 12:44

75

Views

How to find $s(\exp(d(x)))$ ~ $ x + 2 $?

Published on 26 Mar 2015 - 13:26

157

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Internalizing results about composition and surjectivity/injectivity

Published on 26 Mar 2015 - 21:41

74

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functions compositions, three sets, counting compositions

Published on 06 Apr 2015 - 14:57

126

Views

We all know about compositions of functions, but what about decomposition. Is there a way with math, not just heuristics?

Published on 11 Apr 2015 - 22:00

97

Views

$f \circ f^{-1} = i_B$ proof using the fact that $f^{-1} \circ f = i_A$

Published on 14 Apr 2015 - 17:47

181

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Given two piece-wise functions, prove their composition is periodic.

Published on 15 Apr 2015 - 2:00

3.4k

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Composition of 2 monotonic functions

Published on 22 Apr 2015 - 15:17

340

Views

Linear transformation of eigenspace is subset of eigenspace

Published on 28 Apr 2015 - 10:29

List Question

Continuity of a nonlinear operator on fractional-order Sobolev spaces

Can the composition of two non-invertible functions be invertible?

When does differentiability of $g\circ f$ and $f$ resp. $g$ imply differentiablity of $g$ resp. $f$?

What is a composition of two binary relations geometrically?

If $ f(x) = \left\{\frac{3x}{2}\right\}\;,$ Where $\{x\}=x-\lfloor x \rfloor$. Then real solution of $f(f(x))=0$

Which symbol to use for composition of a sequence of functions

Geometric description of composition of two convex polygons?

How to find $s(\exp(d(x)))$ ~ $ x + 2 $?

Internalizing results about composition and surjectivity/injectivity

functions compositions, three sets, counting compositions

We all know about compositions of functions, but what about decomposition. Is there a way with math, not just heuristics?

$f \circ f^{-1} = i_B$ proof using the fact that $f^{-1} \circ f = i_A$

Given two piece-wise functions, prove their composition is periodic.

Composition of 2 monotonic functions

Linear transformation of eigenspace is subset of eigenspace

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