integral
Noun · AdjectiveWordNet 3.0
Noun (1)
- the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
Adjective (3)
- existing as an essential constituent or characteristic“the Ptolemaic system with its built-in concept of periodicity”“a constitutional inability to tell the truth”Synonyms: built-inconstitutionalinbuiltinherent
- 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”Synonyms: entireintact
- of or denoted by an integer
Webster's Dictionary (GCIDE)
1.A current of water; a stream. [Obs.] [1913 Webster]
2.[Cf. F. fluente.] (Math.) A variable quantity, considered as increasing or diminishing; -- called, in the modern calculus, the function or integral. [1913 Webster]
1.Lacking nothing of completeness; complete; perfect; uninjured; whole; entire. [1913 Webster]
A local motion keepeth bodies integral.— Bacon.[1913 Webster]
2.Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant. [1913 Webster]
Ceasing to do evil, and doing good, are the two great integral parts that complete this duty.— South.[1913 Webster]
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. [1913 Webster]
Integral calculus. See under Calculus. [1913 Webster]
1.A whole; an entire thing; a whole number; an individual. [1913 Webster]
2.(Math.) An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent. [1913 Webster]
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. [1913 Webster]