List questions from function-and-relation-composition

Published on 20 Feb 2017 - 11:41

152

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If $f \circ g$ is injective and $g$ is surjective - is $f$ injective?

Published on 20 Feb 2017 - 17:33

62

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Understanding integers as a group in light of a general definition

Published on 21 Feb 2017 - 5:41

45

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Relation based on function composition

Published on 21 Feb 2017 - 13:45

342

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Determining if a linear transformation composition is diagonalizable.

Published on 22 Feb 2017 - 23:19

204

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Sum of prime number of compositions of functions $\sum_{n=1}^{\infty} (-1)^{n-1} f_{P_n}(\alpha)$

Published on 28 Feb 2017 - 12:06

841

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Period in composition of functions

Published on 02 Mar 2017 - 19:15

2k

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Group theory - composition vs. multiplication

Published on 03 Mar 2017 - 23:17

134

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Derivative of the function $f(x,y)=\frac{x^2y}{x^2+y^2}$ if $(x,y)≠(0,0)$.

Published on 05 Mar 2017 - 16:10

1.1k

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Continuity of composite functions with point discontinuities

Published on 06 Mar 2017 - 15:44

404

Views

Taylor Series Composition

Published on 14 Mar 2017 - 23:03

91

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Convergence for $n+1$ iteration in composition of functions.

Published on 15 Mar 2017 - 4:02

477

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Decomposing a composite function with only one generating function known

Published on 26 Mar 2017 - 20:11

56

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Composing the function $f(\rho,\theta)=(\frac{2 \rho}{\rho +1}\cos(\theta+\frac\pi4),\frac{2 \rho}{\rho +1}\sin(\theta+\frac\pi4))$ with itself

Published on 27 Mar 2017 - 12:23

1k

Views

why isn't this function surjective?

Published on 31 Mar 2017 - 6:59

List Question

if $f \circ g = id_y$, is $f$ injective?

If $f \circ g$ is injective and $g$ is surjective - is $f$ injective?

Understanding integers as a group in light of a general definition

Relation based on function composition

Determining if a linear transformation composition is diagonalizable.

Sum of prime number of compositions of functions $\sum_{n=1}^{\infty} (-1)^{n-1} f_{P_n}(\alpha)$

Period in composition of functions

Group theory - composition vs. multiplication

Derivative of the function $f(x,y)=\frac{x^2y}{x^2+y^2}$ if $(x,y)≠(0,0)$.

Continuity of composite functions with point discontinuities

Taylor Series Composition

Convergence for $n+1$ iteration in composition of functions.

Decomposing a composite function with only one generating function known

Composing the function $f(\rho,\theta)=(\frac{2 \rho}{\rho +1}\cos(\theta+\frac\pi4),\frac{2 \rho}{\rho +1}\sin(\theta+\frac\pi4))$ with itself

why isn't this function surjective?

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