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Longman Dictionary of Contemporary English
exponential
adjective
COLLOCATIONS FROM CORPUS
■ NOUN
growth
▪ This diversification has been shown to correspond closely to a simple exponential growth model.
▪ Most market professionals agree that the tax-deferred funds are a major force behind the exponential growth in stock prices.
▪ Text messaging has experienced exponential growth in the past year.
increase
▪ If only passive properties determine the pressure elastic modulus, an exponential increase would have been expected.
EXAMPLES FROM CORPUS
▪ Claude has suggested that there is an exponential relationship between the number of tight junctional strands and transepithelial resistance.
▪ However, the fraction of light absorbed is an exponential function of the pigment concentration in a leaf of a given thickness.
▪ If only passive properties determine the pressure elastic modulus, an exponential increase would have been expected.
▪ Most market professionals agree that the tax-deferred funds are a major force behind the exponential growth in stock prices.
▪ The liquid emptying plots were all straight lines and were fitted to a single exponential function by an iterative least squares method.
▪ This would produce exponential curves, which do not fit the data, particularly in the first 3 months after radiotherapy.
The Collaborative International Dictionary
Exponential

Exponential \Ex`po*nen"tial\, a. [Cf. F. exponentiel.]

  1. Pertaining to exponents; involving variable exponents; as, an exponential expression; exponential calculus; an exponential function.

  2. changing over time in an exponential manner, i. e. increasing or decreasing by a fixed ratio for each unit of time; as, exponential growth; exponential decay.

    Note:

    Exponential growth is characteristic of bacteria and other living populations in circumstances where the conditions of growth are favorable, and all required nutrients are plentiful. For example, the bacterium Escherichia coli in rich media may double in number every 20 minutes until one of the nutrients becomes exhausted or waste products begin to inhibit growth. Many fascinating thought experiments are proposed on the theme of exponential growth. One may calculate, for example how long it would take the progeny of one Escherichia coli to equal the mass of the known universe if it multiplied unimpeded at such a rate. The answer, assuming the equivalent of 10^ 80 hydrogen atoms in the universe, is less than three days. Exponential increases in a quantity can be surprising, and this principle is often used by banks to make investment at a certain rate of interest seem to be very profitable over time.

    Exponential decay is exhibited by decay of radioactive materials and some chemical reactions (first order reactions), in which one-half of the initial quantity of radioactive element (or chemical substance) is lost for each lapse of a characteristic time called the half-life.

    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.

Douglas Harper's Etymology Dictionary
exponential

1704, from exponent + -ial. As a noun, from 1784. Related: Exponentially.

Wiktionary
exponential

a. 1 Relating to an exponent#English. 2 (context mathematics English) Expressed in terms of a power of e. 3 (context proscribed English) Having a high or rapid rate of change. n. (context mathematics English) Any function that has an exponent as an independent variable.

WordNet
exponential

adj. of or involving exponents; "exponential growth"

exponential

n. a function in which an independent variable appears as an exponent [syn: exponential function]

Wikipedia
Exponential

Exponential may refer to any of several mathematical topics related to exponentiation, including:

  • Exponential function, also:
    • Matrix exponential, the matrix analogue to the above
  • Exponential decay, decrease at a rate proportional to value
  • Exponential discounting, a specific form of the discount function, used in the analysis of choice over time
  • Exponential growth, where the growth rate of a mathematical function is proportional to the function's current value
  • Exponential map (Riemannian geometry), in Riemannian geometry
  • Exponential map (Lie theory), in Lie theory
  • Exponential notation, also known as scientific notation, or standard form
  • Exponential object, in category theory
  • Exponential time, in complexity theory
  • in probability and statistics:
    • Exponential distribution, a family of continuous probability distributions
    • Exponential family, sometimes used in place of "exponential family"
    • Exponential smoothing, a technique that can be applied to time series data
  • Exponential type or function type, in type theory
  • Topics listed at list of exponential topics

Exponential may also refer to:

  • Exponential Technology, a vendor of PowerPC microprocessors

Usage examples of "exponential".

Dogged biometricians had pointed out with irrefutable logic that mental subnormals were outbreeding mental normals and supemormals, and that the process was occurring on an exponential curve.

It was a simple exponential curve, she recognized, a growth rising slowly at first, steepening up to a point labeled NOW.

He did quadruple and quintuple integration, even quadruple integration between varying exponential limitsin his head.

Dogged biometricians had pointed out with irrefutable logic thai mental subnormals were outbreeding mental normals and supernormal and that the process was occurring on an exponential curve.

The dark matter within this ship is making replicas of itself at an exponential rate.

Deck found the scent most annoying, which probably accounted for the seemingly exponential number of times Quinn lit up around him.

Eventually, as in a nuclear pile, levels of energy are reached where further increases take on an exponential growth curve, the energy increasing faster and faster without any further input.

Once that energy starts on its exponential curve, it has a life of its own.

He did quadruple and quintuple integration, even quadruple integration between varying exponential limits-in his head.

A lot of Deutschmark transfers had been linked to the movement of radioactive material inside and across Europe, and the investigation had widened at an exponential rate.

Cults blossomed into true Communions that grew at exponential rates, until another star was claimed by a Dyson swarm of the Hallowed Vasties.

The exponential growth of our capabilities in these areas will drive many of the other high-impact technologies mentioned below.

Technological advances came along so fast that Earth had no trouble in feeding everyone even though the birthrate continued along an exponential curve.

The arborization of the nerve cells’ dendrites and the supporting microglia cells had been increasing at an exponential rate, with hundreds of thousands of new synaptic connections arising every hour.

But Abu gave his answers in exponential notation, so Belbo was unable to daunt Diotallevi with a screen full of endless zeros: a pale visual imitation of the multiplication of combinatorial universes, of the exploding swarm of all possible worlds.