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integral Definition

in·te·gral (in′tə grəl; often, for adj. 1-3, in teg′rəl)

adjective

  1. necessary for completeness; essential an integral part
  2. whole or complete
  3. made up of parts forming a whole
  4. Math.
    1. of or having to do with an integer or integers; not fractional
    2. of or having to do with integrals or integration

Etymology: LL integralis < L integer: see integer

noun

  1. a whole
  2. Math.
    1. the result of integrating a fraction
    2. a solution of a differential equation

integral Related Forms
in′·te·gral′·ity (-gral′ə tē) noun in′·te·grally adverb
integral Synonyms

integral

modif.

  1. Necessary for completeness

    essential, indispensable, constituent, component, requisite, necessary, basic, elemental; see also fundamental 1.

  2. Made up of parts forming a whole

    complete, entire, indivisible, aggregate, undivided, unbroken; see also whole 1.

integral Usage Examples

Converse of object

  • transform: A facility to allow the punching of both transformed integrals and CI coefficients from the full CI code has been introduced.
  • calculate: In case the software cannot calculate surface integrals analytically it offers the possibility to proceed with a numerical evaluation of the corresponding terms.
  • evaluate: These are then combined with the radial integrals evaluated by RMATRX STG1.

Adjective modifier

  • 2-electron: The MEMORY subdirective sets aside the maximum amount of memory that is not needed for other purposes to hold the 3-center 2-electron integrals.
  • radial: Nature of problem: This program reads the radial integrals stored on a permanent tape or disk file by RMATRX STG1.
  • indefinite: Definite and indefinite integrals and the Fundamental Theorem of Integral Calculus.
  • angular: The angular integrals are carried out using the methods of Racah algebra.
  • definite: With definite integrals the limits of integration can also change.

Modifies a noun

  • part: Service users remain an integral part of the project steering group.
  • garage: The tumble dryer is housed in the integral garage which leads directly from the kitchen.
  • equation: Fredholm integral equation of the first kind was solved by Stokes method.
  • calculus: A substantial part of the module is differential and integral calculus.
  • component: Training & Development At The Bank of New York, employe development is an integral component of our business strategy.
  • harness: The child is restrained by the seat's integral harness.

Used with adjective complement

  • become: As with the games the music becomes integral in drawing the viewer in.

Noun used with modifier

  • two-electron: The most costly step in the serial 2 nd derivative algorithm is the computation of the 2 nd derivative two-electron integrals.
  • collision: The kinetic transport coeffs. are computed from explicit collision integrals and compared favorably with detailed simulations.
  • path: The theory of Feynman path integrals in such theories is a further active area of research here at King's.
  • volume: To be able to work with line, surface and volume integrals.

Preposition: under

  • curve: The PSD TISA ( time-integral squared amplitude power ) is the actual integral under the curve defined by the square of the raw data.