EXPONEN'TIAL, a. Exponential curves are such as partake both of the nature of algebraic and transcendental ones. They partake of the former, because they consist of a finite number of terms, though these terms themselves are indeterminate; and they are in some measure transcendental, because they cannot be algebraically constructed.

adj 1: of or involving exponents; "exponential growth" n 1: a function in which an independent variable appears as an exponent [syn: exponential, exponential function]

adjectiveDate: 1704 1. of or relating to an exponent 2. involving a variable in an exponent <10^{x} is an exponential expression> 3. expressible or approximately expressible by an exponential function; especially characterized by or being an extremely rapid increase (as in size or extent) <an exponential growth rate> • exponentiallyadverb

adj. 1 Math. of or indicated by a mathematical exponent. 2 (of an increase etc.) more and more rapid. Phrases and idioms: exponential function Math. a function which increases as a quantity raised to a power determined by the variable on which the function depends. exponential growth Biol. a form of population growth in which the rate of growth is related to the number of individuals present. Etymology: F exponentiel (as EXPONENT)

Exponential Ex`po*nen"tial, a. [Cf. F. exponentiel.] Pertaining to exponents; involving variable exponents; as, an exponential expression; exponential calculus; an exponential function. Exponential curve, a curve whose nature is defined by means of an exponential equation. Exponential equation, an equation which contains an exponential quantity, or in which the unknown quantity enters as an exponent. Exponential quantity (Math.), a quantity whose exponent is unknown or variable, as a^x. Exponential series, a series derived from the development of exponential equations or quantities.

Exponential means growing or increasing very rapidly. (FORMAL) The policy tried to check the exponential growth of public expenditure.ADJ: usu ADJ n • exponentiallyThe quantity of chemical pollutants has increased exponentially.ADV: ADV after v