- Infinitesimal increment
- Increment In"cre*ment, n. [L. incrementum: cf. F.
incr['e]ment. See {Increase}.]
[1913 Webster]
1. The act or process of increasing; growth in bulk,
guantity, number, value, or amount; augmentation;
enlargement.
[1913 Webster]
The seminary that furnisheth matter for the formation and increment of animal and vegetable bodies. --Woodward. [1913 Webster]

A nation, to be great, ought to be compressed in its increment by nations more civilized than itself. --Coleridge. [1913 Webster]

2. Matter added; increase; produce; production; -- opposed to {decrement}. ``Large increment.'' --J. Philips. [1913 Webster]

3. (Math.) The increase of a variable quantity or fraction from its present value to its next ascending value; the finite quantity, generally variable, by which a variable quantity is increased. [1913 Webster]

4. (Rhet.) An amplification without strict climax, as in the following passage: [1913 Webster]

Finally, brethren, whatsoever things are true, whatsoever things are honest, whatsoever things are just, whatsoever things are pure, whatsoever things are lovely, whatsoever things are of good report, . . . think on these things. --Phil. iv. 8. [1913 Webster]

{Infinitesimal increment} (Math.), an infinitesimally small variation considered in Differential Calculus. See {Calculus}.

{Method of increments} (Math.), a calculus founded on the properties of the successive values of variable quantities and their differences or increments. It differs from the method of fluxions in treating these differences as finite, instead of infinitely small, and is equivalent to the calculus of finite differences. [1913 Webster]

*The Collaborative International Dictionary of English.
2000.*

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**Increment**— In cre*ment, n. [L. incrementum: cf. F. incr[ e]ment. See {Increase}.] [1913 Webster] 1. The act or process of increasing; growth in bulk, guantity, number, value, or amount; augmentation; enlargement. [1913 Webster] The seminary that furnisheth… … The Collaborative International Dictionary of English**Infinitesimal calculus**— Gottfried Wilhelm Leibniz (left) and Isaac Newton (right) … Wikipedia**Increment theorem**— In nonstandard analysis, a field of mathematics, the increment theorem states the following: Suppose a function f is differentiable at x and that Delta; x is infinitesimal. Then:Delta f = f (x),Delta x + varepsilon, Delta x,for some infinitesimal … Wikipedia**Differential (infinitesimal)**— For other uses of differential in calculus, see differential (calculus), and for more general meanings, see differential. In calculus, a differential is traditionally an infinitesimally small change in a variable. For example, if x is a variable … Wikipedia**Method of increments**— Increment In cre*ment, n. [L. incrementum: cf. F. incr[ e]ment. See {Increase}.] [1913 Webster] 1. The act or process of increasing; growth in bulk, guantity, number, value, or amount; augmentation; enlargement. [1913 Webster] The seminary that… … The Collaborative International Dictionary of English**Differential of a function**— For other uses of differential in mathematics, see differential (mathematics). In calculus, the differential represents the principal part of the change in a function y = ƒ(x) with respect to changes in the independent variable. The… … Wikipedia**Leibniz's notation**— In calculus, Leibniz s notation, named in honor of the 17th century German philosopher and mathematician Gottfried Wilhelm Leibniz, was originally the use of expressions such as d x and d y and to represent infinitely small (or infinitesimal)… … Wikipedia**Continuous function**— Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus Derivative Change of variables Implicit differentiation Taylor s theorem Related rates … Wikipedia**Black–Scholes**— The Black–Scholes model (pronounced /ˌblæk ˈʃoʊlz/[1]) is a mathematical model of a financial market containing certain derivative investment instruments. From the model, one can deduce the Black–Scholes formula, which gives the price of European … Wikipedia**Escape velocity**— In physics, escape velocity is the speed where the kinetic energy of an object is equal to the magnitude of its gravitational potential energy, as calculated by the equation,:U g = frac{ Gm 1m 2}{r}.It is commonly described as the speed needed to … Wikipedia