Integral
['ɪntɪgr(ə)l;ɪn'tegr(ə)l] or ['ɪntɪɡrəl]
Definition
(noun.) the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x).
(adj.) 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' .
(adj.) of or denoted by an integer .
Inputed by Jesse--From WordNet
Definition
(a.) Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.
(a.) Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.
(a.) Of, pertaining to, or being, a whole number or undivided quantity; not fractional.
(a.) Pertaining to, or proceeding by, integration; as, the integral calculus.
(n.) A whole; an entire thing; a whole number; an individual.
(n.) An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.
Checker: Louie
Synonyms and Synonymous
a. Whole, entire, total, not fractional.
Checked by Bernadette
Examples
- Taken as such a step or stage, its existence is proof of its complete rationality, for it is an integral element in the total, which is Reason. John Dewey. Democracy and Education.
- The people who had been in rebellion must necessarily come back into the Union, and be incorporated as an integral part of the nation. Ulysses S. Grant. Personal Memoirs of U. S. Grant.
- Could we take integral parts of this power, and not be subject to its operation? Mary Shelley. The Last Man.
- Yet his will was unbroken, he was integral, complete. D. H. Lawrence. Women in Love .
- And now he had stepped over the threshold of a new art which has since become so world-wide in its application as to be an integral part of modern human experience. Frank Lewis Dyer. Edison, His Life and Inventions.
- For if spirit, if integral being is destructible, Matter is indestructible. D. H. Lawrence. Women in Love .
- Must one go through all the horror of this victory over death, the triumph of the integral will, that would not be broken till it disappeared utterly? D. H. Lawrence. Women in Love .
- Although it took two or three years to convince the public of the correctness of his views, the idea gradually took strong root, and has now become an integral principle of the business. Frank Lewis Dyer. Edison, His Life and Inventions.
Checked by Jacques