integral

IPA: ˈɪntʌgrʌɫ

(mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
(specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
(mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
(mathematics, historical or obsolete) The fluent of a given fluxion in Newtonian calculus.
(space science, ESA) Abbreviation of International Gamma-Ray Astrophysics Laboratory. (a satellite of the European Space Agency)

Constituting a whole together with other parts or factors; not omittable or removable
(mathematics) Of, pertaining to, or being an integer.
(mathematics) Relating to integration.
(obsolete) Whole; undamaged.

Examples of "integral" in Sentences

In your reading, how integral is social critique to the novel?
Is the term integral or superfluous to the substance of these papers?
"We had a bet about the pronunciation of the word 'integral'," he recalls.
Of course, I disagree in that I-I "owns", in any meaningful sense, the term integral, or that "they ARE the authority".
The word integral means for this paradigm recognizing the value of all of the stages... each emergence is absorbed in the next.
The Lebesgue integral is at the heart of measure theory and probability theory, and I had long thought of it as elegant but difficult to visualize.
Basic assumption of natural science is that things happen for a reason (aside from natural oscillation around equilibrium point), and in climate science what scientists are trying to figure out is what exactly these reasons for climate change (climate as being of long-term integral average of highly varying weather) are.