Adjacent Words

Integral definitions

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Webster's 1828 Dictionary

IN'TEGRAL, a. Whole; entire.
A local motion keepeth bodies integral.
1. Making part of a whole, or necessary to make a whole.
2. Not fractional.
3. Uninjured; complete; not defective.
IN'TEGRAL, n. A whole; an entire thing.

WordNet (r) 3.0 (2005)

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, integral]
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: integral, entire, intact]
3: of or denoted by an integer n
1: the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)

Merriam Webster's

I. adjective Date: 1551 1. a. essential to completeness ; constituent <an integral part of the curriculum> b. (1) being, containing, or relating to one or more mathematical integers (2) relating to or concerned with mathematical integrals or integration c. formed as a unit with another part <a seat with integral headrest> 2. composed of integral parts 3. lacking nothing essential ; entire • integrality noun • integrally adverb II. noun Date: circa 1741 the result of a mathematical integration — compare definite integral, indefinite integral

Oxford Reference Dictionary

adj. & n. --adj. disp. 1 a of a whole or necessary to the completeness of a whole. b forming a whole (integral design). c whole, complete. 2 Math. a of or denoted by an integer. b involving only integers, esp. as coefficients of a function. --n. Math. 1 a quantity of which a given function is the derivative, either containing an indeterminate additive constant (indefinite integral), or calculated as the difference between its values at specified limits (definite integral). 2 a function satisfying a given differential equation. Phrases and idioms: integral calculus mathematics concerned with finding integrals, their properties and application, etc. (cf. differential calculus). Derivatives: integrality n. integrally adv. Etymology: LL integralis (as INTEGER)

Webster's 1913 Dictionary

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.

Webster's 1913 Dictionary

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.

Webster's 1913 Dictionary

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.

Collin's Cobuild Dictionary

Something that is an integral part of something is an essential part of that thing. Rituals and festivals form an integral part of every human society... = basic, fundamental ADJ: oft ADJ to n

Soule's Dictionary of English Synonyms

I. a. Whole, entire, total. II. n. (Math.) Fluent.

Moby Thesaurus

a certain, aggregate, algorismic, algorithmic, aliquot, all, all-embracing, all-inclusive, an, any, any one, atomic, basic, cardinal, complete, component, composite, comprehensive, constituent, decimal, differential, digital, either, elemental, elementary, entire, entity, essential, even, exclusive, exhaustive, exponential, figural, figurate, figurative, finite, formative, fractional, full, fundamental, gross, holistic, imaginary, impair, impossible, inclusive, individual, indivisible, infinite, intact, integrant, integrate, integrated, intrinsic, irrational, irreducible, logarithmic, logometric, lone, monadic, monistic, negative, numeral, numerary, numerative, numeric, odd, omnibus, one, one and indivisible, ordinal, pair, perfect, positive, possible, prime, radical, rational, real, reciprocal, rolled into one, simple, single, singular, sole, solid, solitary, sound, submultiple, sum, surd, system, total, totality, transcendental, unanalyzable, undivided, unified, uniform, unique, unitary, united, universal, unqualified, utter, whole