# Exponential

[ek-spoh-nen-shuh l, -spuh-] /ˌɛk spoʊˈnɛn ʃəl, -spə-/

**adjective**

1.

of or relating to an exponent or exponents.

2.

Mathematics.

3.

rising or expanding at a steady and usually rapid rate:

a city experiencing exponential growth.

**noun**

4.

Mathematics.

/ˌɛkspəʊˈnɛnʃəl/

**adjective**

1.

(maths) (of a function, curve, series, or equation) of, containing, or involving one or more numbers or quantities raised to an exponent, esp ex

2.

(maths) raised to the power of e, the base of natural logarithms exp

3.

of or involving an exponent or exponents

4.

(informal) very rapid

**noun**

5.

(maths) an exponential function, etc

**adj.**

1704, from exponent + -al (1). As a **noun**, from 1784. Related: Exponentially.

exponential

(ěk’spə-něn’shəl)

Relating to a mathematical expression containing one or more exponents. ◇ Something is said to increase or decrease exponentially if its rate of change must be expressed using exponents. A graph of such a rate would appear not as a straight line, but as a curve that continually becomes steeper or shallower.

1. A function which raises some given constant (the “base”) to the power of its argument. I.e.

f x = b^x

If no base is specified, e, the base of natural logarthims, is assumed.

2. exponential-time algorithm.

(1995-04-27)

Tagged: e

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