Characteristic exponent

Characteristic exponent

In mathematics, the term characteristic exponent may refer to:

  • Characteristic exponent of a field, a number equal to 1 if the field has characteristic 0, and equal to p if the field has characteristic p > 0
  • Lyapunov characteristic exponent, a quantity that characterizes the rate of separation of infinitesimally close trajectories in a dynamical system
  • Characteristic exponent of Stable distribution
  • Logarithm of a characteristic multiplier in the Floquet theory
  • Solution of the indicial equation of the Frobenius method

Wikimedia Foundation. 2010.

Look at other dictionaries:

  • Characteristic (algebra) — In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring s multiplicative identity element (1) in a sum to get the additive identity element (0); the ring is said… …   Wikipedia

  • Characteristic multiplier — In mathematics, and particularly ordinary differential equations, a characteristic multiplier is an eigenvalue of a monodromy matrix. The logarithm of a characteristic multiplier is also known as characteristic exponent. They appear in Floquet… …   Wikipedia

  • Exponent (linguistics) — An exponent is a phonological manifestation of a morphosyntactic property. In non technical language, it is the expression of one or more grammatical properties by sound. There are several kinds of exponents:*identity *affixation *reduplication… …   Wikipedia

  • characteristic — characteristically, adv. /kar ik teuh ris tik/, adj. 1. Also, characteristical. pertaining to, constituting, or indicating the character or peculiar quality of a person or thing; typical; distinctive: Red and gold are the characteristic colors of …   Universalium

  • characteristic — Index In dex, n.; pl. E. {Indexes}, L. {Indices}(?). [L.: cf. F. index. See {Indicate}, {Diction}.] [1913 Webster] 1. That which points out; that which shows, indicates, manifests, or discloses; as, the increasing unemployment rate is an index of …   The Collaborative International Dictionary of English

  • characteristic — char•ac•ter•is•tic [[t]ˌkær ɪk təˈrɪs tɪk[/t]] adj. 1) indicating the character or distinctive quality of a person or thing; typical 2) a distinguishing feature or quality 3) math. a) the integral part of a common logarithm b) the exponent of 10… …   From formal English to slang

  • Lyapunov exponent — In mathematics the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the rate of separation of infinitesimally close trajectories. Quantitatively, two trajectories in phase space with… …   Wikipedia

  • Hurst exponent — ( H) A measure of the bias in fractional Brownian motion. H=0.50 for Brownian motion. 0.50<H<1.00 for persistent, or trend reinforcing series. 0<H<0.50 for an anti persistent , or mean reverting system. The inverse of the Hurst… …   Financial and business terms

  • Corrected d-exponent — Contents 1 Description 2 Theory 3 Calculation 4 Caveats Description The Corrected d exponent, also known as cd exponent or more correctly dc exp …   Wikipedia

  • Critical exponent — Critical exponents describe the behaviour of physical quantities near continuous phase transitions. It is believed, though not proven, that they are universal, i.e. they do not depend on the details of the physical system, but only on the… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.