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Kernel

Noun

Definitionen

1.NounThe core, center, or essence of an object or system.
"the kernel of an argument"
2.NounThe central (usually edible) part of a nut, especially once the hard shell has been removed.
3.NounA single seed of grain, especially of corn or wheat.
4.NounThe stone of certain fruits, such as peaches or plums.
5.NounA small mass around which other matter is concreted; a nucleus; a concretion or hard lump in the flesh.
6.NounThe central part of many computer operating systems which manages the system's resources and the communication between hardware and software components.
"The Linux kernel is open-source."
7.NounThe core engine of any complex software system.
8.NounThe simplified input to an algorithm that has undergone kernelization.
9.NounA function used to define an integral transform.
"The Dirichlet kernel convolved with a function yields its Fourier series approximation."
10.NounThe set of pairs of elements in the domain of f {\displaystyle f} which are mapped to the same value; the equivalence relation x ≡ y ⟺ f ( x ) = f ( y ) {\displaystyle x\equiv y\iff f(x)=f(y)} .
"If a function is continuous then its kernel is a closed set."
11.NounThe set of elements of the domain of f {\displaystyle f} which are mapped to an identity element. The set of elements of G {\displaystyle G} which are mapped to the identity of H {\displaystyle H} (usually written as 0 in an additive group and as 1 in a multiplicative group). The set of elements of R {\displaystyle R} which are mapped to the additive identity 0 of S {\displaystyle S} . The set of elements of M {\displaystyle M} which are mapped to the additive identity 0 of N {\displaystyle N} .
12.NounThe set of elements of G {\displaystyle G} which are mapped to the identity of H {\displaystyle H} (usually written as 0 in an additive group and as 1 in a multiplicative group).
13.NounThe set of elements of R {\displaystyle R} which are mapped to the additive identity 0 of S {\displaystyle S} .
14.NounThe set of elements of M {\displaystyle M} which are mapped to the additive identity 0 of N {\displaystyle N} .
15.NounThe equalizer of f {\displaystyle f} and the zero morphism from X {\displaystyle X} to Y {\displaystyle Y} , denoted ker ⁡ f {\displaystyle \operatorname {ker} f} . The source of ker ⁡ f {\displaystyle \operatorname {ker} f} , denoted Ker ⁡ f {\displaystyle \operatorname {Ker} f} .
16.NounThe source of ker ⁡ f {\displaystyle \operatorname {ker} f} , denoted Ker ⁡ f {\displaystyle \operatorname {Ker} f} .
17.NounThe set of members of a fuzzy set that are fully included (i.e., whose grade of membership is 1).
18.NounThe human clitoris.
19.NounThe nucleus and electrons of an atom excluding its valence electrons.
20.NounThis term needs a definition. Please help out and add a definition, then remove the text {{rfdef}}.
21.VerbTo enclose within a kernel
22.VerbTo crenellate
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