function increment

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• 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

• increment — incremental /in kreuh men tl, ing /, adj. incrementally, adv. /in kreuh meuhnt, ing /, n. 1. something added or gained; addition; increase. 2. profit; gain. 3. the act or process of increasing; growth. 4. an amount by which something increases or …   Universalium

• increment — [ ɪŋkrɪm(ə)nt] noun 1》 an increase or addition, especially one of a series on a fixed scale.     ↘a regular increase in salary on such a scale. 2》 Mathematics a small positive or negative change in a variable quantity or function. Derivatives… …   English new terms dictionary

• increment — in•cre•ment [[t]ˈɪn krə mənt, ˈɪŋ [/t]] n. 1) something added or gained; addition; increase 2) the act or process of increasing 3) an amount by which something increases 4) one of a series of regular additions: deposits in increments of $500[/ex] …   From formal English to slang

• increment — /ˈɪnkrəmənt / (say inkruhmuhnt), /ˈɪŋ / (say ing ) noun 1. something added or gained; an addition or increase. 2. profit. 3. the act or process of increasing; growth. 4. an increase in salary resulting from progression within a graduated scale of …  

• 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

• 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

• Riemann zeta function — ζ(s) in the complex plane. The color of a point s encodes the value of ζ(s): dark colors denote values close to zero and hue encodes the value s argument. The white spot at s = 1 is the pole of the zeta function; the black spots on the… …   Wikipedia

• Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …   Wikipedia

• State function — In thermodynamics, a state function, state quantity , or a function of state , is a property of a system that depends only on the current state of the system, not on the way in which the system got to that state. A state function describes the… …   Wikipedia

• derivative of a function — the limit if it exists of the quotient of an increment of a dependent variable to the corresponding increment of an associated independent variable as the latter increment tends to zero without being zero …   Useful english dictionary