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exponential

exponential

1 8.1
A function where a number is raised to a changing power like a^x
  • noun
  • /ˌɛkspəˈnɛnʃəl/
  • Specialized
translation icon : función exponencial
  • The graph of an exponential shows a rapid increase as the value of x rises.

For trig functions like straight up sine cosine E stands for exponentials like E to the X.

Examples

  • Here we would have an exponential minus T decay.

  • All data from time-resolved measurements were fitted globally to a sum of exponentials using a sequential kinetic scheme with increasing lifetimes.

    Academic text (2018)
  • The number of states is the exponential of the number of bits.

  • The fourtieth step in an exponential progression is a trillion.

  • That's the CDF of an exponential of one, right?

  • The use of other potential functions (for example, exponentials) instead of the above function would produce a model having different characteristics.

    Academic text (1995)
  • Exponentials are seen, for example, in force distributions in glassy materials, foams, and sand piles.

    Academic text (2001)
  • The exponential has a long tail extending to large amplitudes so that, rarely, a signal can scintillate to a strength that is much larger than its true strength in the absence of scintillations.

    Academic text (1999)
  • An exponential function can be expressed as f(x) = a^x, where a is a constant.

  • In mathematics, the value of e raised to the power of x is an example of an exponential function.

Synonyms

exponential function
vsexponential
  • Specialized
1 6.8

A rule that gives a number by raising a fixed number to a variable's power

means the same function but used as a shorter label or adjective form

Compounds

exponential curve
  • Specialized
1 5.8

A curve on a graph that rises or falls very quickly

exponential function
  • Specialized
1 6.8

A rule that gives a number by raising a fixed number to a variable's power

exponential decay
  • Specialized
1 6.8

A decrease where an amount falls by the same part over equal times, becoming much smaller over time

8.1

A number like e raised to a power in a math formula

exponential return
  • Specialized
7.2

A change that grows or falls faster over time by a fixed percent

exponential series
  • Specialized
7.4

A sum of powers of x that equals e^x for every number x

exponential equation
  • Specialized
6.4

A math sentence that has a number or letter as a power

Surface Forms

exponential singular
exponentials plural

Etymology

Exponential comes from exponent, which has the parts ex- 'out' and ponere 'to put'; an exponent is the small number that 'shows' how many times to multiply a base number. So an exponential (a math function) is one where that small number controls the result and the values can grow very quickly.