pushout

As nouns the difference between release and pushout

is that release is the event of setting (someone or something) free (eg hostages, slaves, prisoners, caged animals, hooked or stuck mechanisms) while pushout is (category theory) given a pair of morphisms $f:z\backslash rightarrow\; x$ and $g:\; z\backslash rightarrow\; y$ with a common domain, z'', their pushout is a pair of morphisms $i\_1:x\backslash rightarrow\; p$ and $i\_2:y\backslash rightarrow\; p$ as well as their common codomain, ''p'', such that the equation $i\_1\; \backslash circ\; f\; =\; i\_2\; \backslash circ\; g$ is satisfied, and for which there is the ''universal property'' that for any other object ''q for which there are also morphisms $j\_1:\; x\backslash rightarrow\; q$ and $j\_2:\; y\backslash rightarrow\; q$; there is a unique morphism $u:\; p\backslash rightarrow\; q$ such that $u\; \backslash circ\; i\_1\; =\; j\_1$ and $u\; \backslash circ\; i\_2\; =\; j\_2$.

As a verb release

is to let go (of); to cease to hold or contain or release can be to lease again; to grant a new lease of; to let back.

As nouns the difference between pushout and pushback

is that pushout is (category theory) given a pair of morphisms $f:z\backslash rightarrow\; x$ and $g:\; z\backslash rightarrow\; y$ with a common domain, z'', their pushout is a pair of morphisms $i\_1:x\backslash rightarrow\; p$ and $i\_2:y\backslash rightarrow\; p$ as well as their common codomain, ''p'', such that the equation $i\_1\; \backslash circ\; f\; =\; i\_2\; \backslash circ\; g$ is satisfied, and for which there is the ''universal property'' that for any other object ''q for which there are also morphisms $j\_1:\; x\backslash rightarrow\; q$ and $j\_2:\; y\backslash rightarrow\; q$; there is a unique morphism $u:\; p\backslash rightarrow\; q$ such that $u\; \backslash circ\; i\_1\; =\; j\_1$ and $u\; \backslash circ\; i\_2\; =\; j\_2$ while pushback is the act of repelling (an enemy, etc).

is likely misspelled.

has no English definition.

As a noun pushout

is given a pair of morphisms $f:Z\backslash rightarrow\; X$ and $g:\; Z\backslash rightarrow\; Y$ with a common domain, Z, their pushout is a pair of morphisms $i\_1:X\backslash rightarrow\; P$ and $i\_2:Y\backslash rightarrow\; P$ as well as their common codomain, P, such that the equation $i\_1\; \backslash circ\; f\; =\; i\_2\; \backslash circ\; g$ is satisfied, and for which there is the universal property that for any other object Q for which there are also morphisms $j\_1:\; X\backslash rightarrow\; Q$ and $j\_2:\; Y\backslash rightarrow\; Q$; there is a unique morphism $u:\; P\backslash rightarrow\; Q$ such that $u\; \backslash circ\; i\_1\; =\; j\_1$ and $u\; \backslash circ\; i\_2\; =\; j\_2$.

As a noun pushout

is given a pair of morphisms $f:Z\backslash rightarrow\; X$ and $g:\; Z\backslash rightarrow\; Y$ with a common domain, Z, their pushout is a pair of morphisms $i\_1:X\backslash rightarrow\; P$ and $i\_2:Y\backslash rightarrow\; P$ as well as their common codomain, P, such that the equation $i\_1\; \backslash circ\; f\; =\; i\_2\; \backslash circ\; g$ is satisfied, and for which there is the universal property that for any other object Q for which there are also morphisms $j\_1:\; X\backslash rightarrow\; Q$ and $j\_2:\; Y\backslash rightarrow\; Q$; there is a unique morphism $u:\; P\backslash rightarrow\; Q$ such that $u\; \backslash circ\; i\_1\; =\; j\_1$ and $u\; \backslash circ\; i\_2\; =\; j\_2$.

As a verb postpone is

to delay or put off an event, appointment etc.

As nouns the difference between pullout and pushout

is that pullout is a withdrawal, especially of armed forces while pushout is given a pair of morphisms $f:Z\backslash rightarrow\; X$ and $g:\; Z\backslash rightarrow\; Y$ with a common domain, Z, their pushout is a pair of morphisms $i\_1:X\backslash rightarrow\; P$ and $i\_2:Y\backslash rightarrow\; P$ as well as their common codomain, P, such that the equation $i\_1\; \backslash circ\; f\; =\; i\_2\; \backslash circ\; g$ is satisfied, and for which there is the universal property that for any other object Q for which there are also morphisms $j\_1:\; X\backslash rightarrow\; Q$ and $j\_2:\; Y\backslash rightarrow\; Q$; there is a unique morphism $u:\; P\backslash rightarrow\; Q$ such that $u\; \backslash circ\; i\_1\; =\; j\_1$ and $u\; \backslash circ\; i\_2\; =\; j\_2$.

As nouns the difference between taxonomy and pushout

is that taxonomy is the science or the technique used to make a classification while pushout is (category theory) given a pair of morphisms $f:z\backslash rightarrow\; x$ and $g:\; z\backslash rightarrow\; y$ with a common domain, z'', their pushout is a pair of morphisms $i\_1:x\backslash rightarrow\; p$ and $i\_2:y\backslash rightarrow\; p$ as well as their common codomain, ''p'', such that the equation $i\_1\; \backslash circ\; f\; =\; i\_2\; \backslash circ\; g$ is satisfied, and for which there is the ''universal property'' that for any other object ''q for which there are also morphisms $j\_1:\; x\backslash rightarrow\; q$ and $j\_2:\; y\backslash rightarrow\; q$; there is a unique morphism $u:\; p\backslash rightarrow\; q$ such that $u\; \backslash circ\; i\_1\; =\; j\_1$ and $u\; \backslash circ\; i\_2\; =\; j\_2$.

As a noun pushout is

(category theory) given a pair of morphisms $f:z\backslash rightarrow\; x$ and $g:\; z\backslash rightarrow\; y$ with a common domain, z'', their pushout is a pair of morphisms $i\_1:x\backslash rightarrow\; p$ and $i\_2:y\backslash rightarrow\; p$ as well as their common codomain, ''p'', such that the equation $i\_1\; \backslash circ\; f\; =\; i\_2\; \backslash circ\; g$ is satisfied, and for which there is the ''universal property'' that for any other object ''q for which there are also morphisms $j\_1:\; x\backslash rightarrow\; q$ and $j\_2:\; y\backslash rightarrow\; q$; there is a unique morphism $u:\; p\backslash rightarrow\; q$ such that $u\; \backslash circ\; i\_1\; =\; j\_1$ and $u\; \backslash circ\; i\_2\; =\; j\_2$.