integral love

# integral

## Definitions

### from The American Heritage® Dictionary of the English Language, 4th Edition

• adj. Essential or necessary for completeness; constituent: The kitchen is an integral part of a house.
• adj. Possessing everything essential; entire.
• adj. Mathematics Expressed or expressible as or in terms of integers.
• adj. Mathematics Expressed as or involving integrals.
• n. A complete unit; a whole.
• n. Mathematics A number computed by a limiting process in which the domain of a function, often an interval or planar region, is divided into arbitrarily small units, the value of the function at a point in each unit is multiplied by the linear or areal measurement of that unit, and all such products are summed.
• n. Mathematics A definite integral.
• n. Mathematics An indefinite integral.

• adj. Constituting a whole together with other parts or factors; not omittable or removable
• adj. Of, pertaining to, or being an integer.
• n. A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.
• n. Antiderivative

### from the GNU version of the Collaborative International Dictionary of English

• adj. Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.
• adj. Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.
• adj. Of, pertaining to, or being, a whole number or undivided quantity; not fractional.
• adj. Pertaining to, or proceeding by, integration.
• 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.

### from The Century Dictionary and Cyclopedia

• Relating to a whole composed of parts spatially distinct (as a human body of head, trunk, and limbs), or of distinct units (as a number).
• Hence, and by a reversion to the classical meaning of integer
• Unmaimed; unimpaired.
• Intrinsic; belonging as a part to the whole, and not a mere appendage to it.
• In mathematics: Of, pertaining to, or being a whole number or undivided quantity.
• Pertaining to or proceeding by integration: as, the integral method.
• n. An integral whole; a whole formed of parts spatially distinct, or of numerical parts.
• n. An integral part.
• n. In mathematics, the result of integration, or the operation inverse to differentiation.
• Total.

• n. 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
• adj. existing as an essential constituent or characteristic
• adj. of or denoted by an integer

## Etymologies

### from The American Heritage® Dictionary of the English Language, 4th Edition

Middle English, from Old French, from Medieval Latin integrālis, making up a whole, from Latin integer, complete; see integer.