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Integral vs Kernel - What's the difference?

integral | kernel |

In mathematics terms the difference between integral and kernel

is that integral is antiderivative while kernel is a set of pairs of a mapping's domain which are mapped to the same value.

As an adjective integral

is constituting a whole together with other parts or factors; not omittable or removable.

integral

English

Adjective

(en adjective)
  • Constituting a whole together with other parts or factors; not omittable or removable
  • * South
    • Ceasing to do evil, and doing good, are the two great integral parts that complete this duty.
  • (mathematics) Of, pertaining to, or being an integer.
  • (mathematics) Relating to integration.
  • (obsolete) whole; undamaged
  • * Francis Bacon
    • A local motion keepeth bodies integral .

    Synonyms

    * (constituting a whole) immanent, inherent, necessary

    Derived terms

    * integral brick * integral closure * integral cosmology * integral cuboid * integral current * integral curvature * integral curve * integral domain * integral drawing * integral ecology * integral element * integral energy * integral extension * integral fast reactor * integral field unit * integral function * integral geometry * integral graph * integral homology group * integral kernel * integral membrane protein * integral politics * integral polygedron * integral polynomial * integral post-metaphysics * integral psychology * integral transformative practice * integral yoga * integrity

    Related terms

    * integer

    Noun

    (wikipedia integral) (en noun)
  • (mathematics) A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.
    • The integral of x\mapsto x^2 on [0,1] is \frac{1}{3}.
  • (mathematics)
    • The integral of x^2 is \frac{x^3}{3} plus a constant.

    Synonyms

    * (limit of sums) definite integral * (antiderivative) antiderivative, indefinite integral,

    Antonyms

    * (antiderivative) derivative

    Derived terms

    * definite integral * half-integral * improper integral * indefinite integral * integral calculus * integral equation * integral theory * integral transform * integration * Riemann integral * Riemann-Stieltjes integral * Lebesgue integral

    Related terms

    * integer

    Anagrams

    * * * * English heteronyms ----

    kernel

    English

    Noun

    (en noun)
  • The core, center, or essence of an object or system.
    • the kernel of an argument
  • The central (usually edible) part of a nut, especially once the hard shell has been removed.
  • A single seed or grain, especially of corn or wheat.
  • (US) The stone of certain fruits, such as peaches or plums.
  • A small mass around which other matter is concreted; a nucleus; a concretion or hard lump in the flesh.
  • (computing) The central part of many computer operating systems which manages the system's resources and the communication between hardware and software components.
  • (calculus) A function used to define an integral transform.
    • The Dirichlet kernel convolved with a function yields its Fourier series approximation.
  • (mathematics) A set of pairs of a mapping's domain which are mapped to the same value.
  • (mathematics, algebra) Those elements, in the domain of a function, which the function maps to zero.
    • If a function is continuous then its kernel is a closed set.
  • (mathematics, fuzzy set theory) The set of members of a fuzzy set that are fully included (i.e., whose grade of membership is 1).
  • (slang) The human clitoris.
  • * 2014 , Karyn Gerrard, Irene Preston, Lotchie Burton et al'', ''Summer Heat: 10 Spicy Romances That Sizzle
    • Using the blunt end of one of the vibraphone mallets, he pried open her folds. With the balled end of the other, he rhythmically rolled over her kernel .

    Antonyms

    * (computing) userland * (algebra) support

    Meronyms

    * (algebra) root, zero

    Derived terms

    * cokernel * kernel function * kernel hacker * kernel of truth * kernel space * kernelization