2. (Math.) The operation of finding the primitive function which has a
given function for its differential coefficient. See Integral.
The symbol of integration is (standing for the Latin summa sum), and
the integral is also regarded as the limiting value of the sum of great
numbers of differentials, when the magnitude of the differentials
decreases, and their number increases indefinitely. See Limit, n. When
the summation is made between specified values of the variable, the
result is a definite integral, and those values of the variable are the
limits of the integral. When the summation is made successively for two
or more variables, the result is a multiple integral.
3. In the theory of evolution: The process by which the manifold is
compacted into the relatively simple and permanent. It is supposed to
alternate with differentiation as an agent in development.
In"te*gra`tor (?), n. (Math. & Mech.) That which integrates; esp., an
instrument by means of which the area of a figure can be measured
directly, or its moment of inertia, or statical moment, etc., be
determined.
In*teg"ri*ty (?), n. [L. integritas: cf. F. intégrité. See Integer, and
cf. Entirety.]
1. The state or quality of being entire or complete; wholeness;
entireness; unbroken state; as, the integrity of an empire or
territory. Sir T. More.
2. Moral soundness; honesty; freedom from corrupting influence or
motive; -- used especially with reference to the fulfillment of
contracts, the discharge of agencies, trusts, and the like;
uprightness; rectitude.
The moral grandeur of independent integrity is the sublimest thing
in nature.
Buckminster.
Their sober zeal, integrity, and worth.
Cowper.
3. Unimpaired, unadulterated, or genuine state; entire correspondence
with an original condition; purity.
Language continued long in its purity and integrity.
Sir M. Hale.
Syn. -- Honesty; uprightness; rectitude. See Probity.
In`te*gro*pal"li*al (?), a. [L. integer whole + E. pallial.] (Zoöl.)
Having the pallial line entire, or without a sinus, as certain bivalve
shells.
In*teg`u*ma"tion (?), n. [See Integument.] That part of physiology
which treats of the integuments of animals and plants.
In*teg"u*ment (?), n. [L. integumentum, fr. integere to cover; pref.
in- in, on + tegere to cover: cf. F. intégument. See 1st n-, and
Tegument.] That which naturally invests or covers another thing, as the
testa or the tegmen of a seed; specifically (Anat.), a covering which
invests the body, as the skin, or a membrane that invests a particular
part.
In*teg`u*men"ta*ry (?), n. Belonging to, or composed of, integuments.
In*teg`u*men*ta"tion (?), n. The act or process of covering with
integuments; the state or manner of being thus covered.
In"tel*lect (?), n. [L. intellectus, fr. intelligere, intellectum, to
understand: cf. intellect. See Intelligent.] (Metaph.) The part or
faculty of the human soul by which it knows, as distinguished from the
power to feel and to will; sometimes, the capacity for higher forms of
knowledge, as distinguished from the power to perceive objects in their
relations; the power to judge and comprehend; the thinking faculty; the
understanding.
In"tel*lect`ed (?), a. Endowed with intellect; having intellectual
powers or capacities. [R.]
In body, and in bristles, they became As swine, yet intellected as
before.
Cowper.
In`tel*lec"tion (?), n. [L. intellectio synecdoche: cf. F.
intellection.] A mental act or process; especially: (a) The act of
understanding; simple apprehension of ideas; intuition. Bentley. (b) A
creation of the mind itself. Hickok.