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# kernel

/kerr"nl/, n., v., kerneled, kerneling or (esp. Brit.) kernelled, kernelling.
n.
1. the softer, usually edible part contained in the shell of a nut or the stone of a fruit.
2. the body of a seed within its husk or integuments.
3. a whole seed grain, as of wheat or corn.
4. South Atlantic States. the pit or seed of a peach, cherry, plum, etc.
5. the central or most important part of anything; essence; gist; core: His leadership is the kernel of the organization.
6. Math. the set of elements that a given function from one set to a second set maps into the identity of the second set.
7. Also called rumpf. Physical Chem. the remainder of an atom after the valence electrons have been removed.
v.t.
8. to enclose as a kernel.
[bef. 1000; ME kirnel, OE cyrnel, dim. of corn seed, CORN1]

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in mathematics, known function that appears in the integrand of an integral equation. Thus, in the equation

(for symbol, see integration), both the kernel function, K(x, y), and g(x) are given, and f(x) is the function sought. As an example, in Abel's equation for the curve followed by a particle moving in a vertical plane under the influence of gravity, which takes the form of the integral equation

in which t is time, the kernel function is

with g the acceleration of gravity.

Other kernels in mathematics, such as the Dirichlet kernel and Fejér's kernel, are concerned with Fourier series. See integral transform.

* * *

Universalium. 2010.

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• Kernel — Ker nel, n. [OE. kernel, kirnel, curnel, AS. cyrnel, fr. corn grain. See {Corn}, and cf. {Kern} to harden.] 1. The essential part of a seed; all that is within the seed walls; the edible substance contained in the shell of a nut; hence, anything… …   The Collaborative International Dictionary of English

• kernel — (n.) O.E. cyrnel seed, kernel, pip, from P.Gmc. *kurnilo (Cf. M.H.G. kornel, M.Du. cornel), from the root of corn seed, grain (see CORN (Cf. corn)) + el, dim. suffix. Figurative sense of core or central part of anything is from 1550s …   Etymology dictionary

• kernel — (izg. kèrnel) m DEFINICIJA inform. najniži dio operativnog sustava koji izvodi osnovne operacije; ljuska, jezgra ETIMOLOGIJA engl …   Hrvatski jezični portal

• kernel — [kʉr′nəl] n. [ME < OE cyrnel < base of corn, seed (see CORN1) + el, dim. suffix] 1. a grain or seed, as of corn, wheat, etc. 2. the inner, softer part of a nut, fruit pit, etc. 3. the central, most important part of something; core; essence …   English World dictionary

• Kernel — Ker nel, v. i. [imp. & p. p. {Kerneled}or {Kernelled}; p. pr. & vb. n. {Kerneling} or {Kernelling}.] To harden or ripen into kernels; to produce kernels …   The Collaborative International Dictionary of English

• kernel — index main point Burton s Legal Thesaurus. William C. Burton. 2006 …   Law dictionary

• kernel — [n] seed, essence atom, bit, center, core, crux, fruit, germ, gist, grain, heart, hub, keynote, marrow, matter, meat, morsel, nub, nubbin, nut, part, piece, pith, root, substance, upshot; concepts 668,826 …   New thesaurus

• kernel — ► NOUN 1) a softer part of a nut, seed, or fruit stone contained within its hard shell. 2) the seed and hard husk of a cereal, especially wheat. 3) the central or most important part of something. ORIGIN Old English, small corn …   English terms dictionary

• Kernel — Betriebssystemkern; Kern * * * Kernel   [dt. Kern] der, der zentrale Teil eines Betriebssystems, in dem alle »lebenswichtigen« Funktionen zusammengefasst sind. Der Kernel genießt besonderen Schutz und kann normalerweise nur von dazu berechtigten… …   Universal-Lexikon