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Integral - Dictionary Definition and Overview |
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Integral : adj
1: existing as an essential constituent or characteristic; "the
Ptolemaic system with its built-in concept of
periodicity"; "a constitutional inability to tell the
truth" [syn: built-in, constitutional, inbuilt,
inherent]
2: constituting the undiminished entirety; lacking nothing
essential especially not damaged; "a local motion keepeth
bodies integral"- Bacon; "was able to keep the collection
entire during his lifetime"; "fought to keep the union
intact" [syn: entire, intact]
(noun)
1: the result of a mathematical integration; F(x) is the
integral of f(x) if dF/dx = f(x)
Based on WordNet 2.0
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Integral : \In"te*gral\, a. [Cf. F. int['e]gral. See Integer.]
1. Lacking nothing of completeness; complete; perfect;
uninjured; whole; entire.
A local motion keepeth bodies integral. --Bacon.
2. Essential to completeness; constituent, as a part;
pertaining to, or serving to form, an integer; integrant.
Ceasing to do evil, and doing good, are the two
great integral parts that complete this duty.
--South.
3. (Math.)
(a) Of, pertaining to, or being, a whole number or
undivided quantity; not fractional.
(b) Pertaining to, or proceeding by, integration; as, the
integral calculus.
Integral calculus. See under Calculus.
Based on Webster's Revised Unabridged Dictionary
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Integral : \In"te*gral\, n.
1. A whole; an entire thing; a whole number; an individual.
2. (Math.) An expression which, being differentiated, will
produce a given differential. See differential
Differential, and Integration. Cf. Fluent.
Elliptic integral, one of an important class of integrals,
occurring in the higher mathematics; -- so called because
one of the integrals expresses the length of an arc of an
ellipse.
Based on Webster's Revised Unabridged Dictionary
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Fluent \Flu"ent\, n.
1. A current of water; a stream. [Obs.]
2. [Cf. F. fluente.] (Math.) A variable quantity, considered
as increasing or diminishing; -- called, in the modern
calculus, the function or integral.
Based on Webster's Revised Unabridged Dictionary (1913)
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