exponential Hear it!

exponential Definition

ex·po·nen·tial (eks′pō nen′s̸həl, -c̸həl)

adjective

  1. Math.
    1. of or relating to an exponent
    2. involving a variable or unknown quantity as an exponent
  2. of or increasing by extraordinary proportions

Related Forms:

exponential Usage Examples

Converse of object

  • damp: For damped exponentials, the ordering is by energy spectral density at the peak frequency.
  • use: Calculate a forecast for week 7 using exponential smoothing with a smoothing constant of 0.4.
  • apply: Applying an exponential transform with the base 1.005 yields.
  • include: Power series, radius of convergence, important examples including exponential, sine and cosine series.

Adjective modifier

  • complex: This method shed some new light on the estimation of complex exponentials in white noise.
  • simple: Instead of a simple exponential, the process is made up of lots of exponentials!
  • real: The third component contains the same amplitude and rate, but is now a real exponential.
  • single: To determine by graphical analysis whether data follow a single exponential.

Modifies a noun

  • asymptotics: The results of this part of the project will form the basis for a book on rigorous exponential asymptotics.
  • decay: Second, we use of the word " decreasing " for exponential decay.
  • notation: Neither a leading ` + ' nor exponential notation is recognized.
  • growth: In recent years we have enjoyed exponential growth serving many industry sectors.
  • curve: There is an exponential curve of increase of medical journals, the numbers of titles doubling every 18 years.
  • distribution: These gaps are modeled using a mixture of exponential distributions.

Modifying Another Word

  • almost: The rise in the last 5 years appears to be almost exponential.
  • approximately: I would expect the rate of spread to be approximately exponential, until the net begins to become saturated.
  • seemingly: June is a month of seemingly exponential growth both for the weeds and your plants.
  • not: This confirms the mechanism for the modified release capsule is not exponential.

Noun used with modifier

  • matrix: We review briefly the solution of linear equations by using the matrix exponential and the Jordan canonical form of a matrix.

Preposition: in

  • n: However there is no known ( deterministic ) way to solve this problem in time less than exponential in n.