# exponent

## Definitions

• WordNet 3.6
• n exponent a mathematical notation indicating the number of times a quantity is multiplied by itself
• n exponent someone who expounds and interprets or explains
• n exponent a person who pleads for a cause or propounds an idea
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Webster's Revised Unabridged Dictionary
• Exponent (Alg) A number, letter, or any quantity written on the right hand of and above another quantity, and denoting how many times the latter is repeated as a factor to produce the power indicated
• Exponent one who explains, expounds, or interprets.
• Exponent One who, or that which, stands as an index or representative; as, the leader of a party is the exponent of its principles.
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Century Dictionary and Cyclopedia
• exponent Exemplifying; explicating.
• n exponent One who expounds or explains.
• n exponent One who or that which stands as an index or representative; one who or that which exemplifies or represents the principle or character of something: as, the leader of a party is the exponent of its principles.
• n exponent In algebra, a symbol placed above and at the right of another symbol (the base), to denote that the latter is to be raised to the power indicated by the former. Thus, a = aa, being the exponent. The process symbolized by a negative exponent is the same as taking the reciprocal of the quantity with the positive exponent. Thus, A fractional exponent, the numerator of the fraction being unity, indicates the operation of taking that root of the base which is indicated by the denominator of the exponent: thus, x = . Exponents are usually understood to follow the associative law = a() and the distributive law a = aa. But in quaternions and multiple algebra the latter holds only in a modified form. In Hamilton's notation of quaternions, (ab)c = a(cb). Exponents were introduced into the notation of algebra by Descartes.
• n exponent A particular example illustrating the meaning of a general statement.
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Chambers's Twentieth Century Dictionary
• n Exponent eks-pō′nent he who, or that which, points out, or represents:
• n Exponent an exponential function
• n Exponent eks-pō′nent (alg.) a figure which shows how often a quantity is to be multiplied by itself, as a3: an index: an example, illustration
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## Etymology

Webster's Revised Unabridged Dictionary
L. exponens, -entis, p. pr. of exponere, to put out, set forth, expose. See Expound
Chambers's Twentieth Century Dictionary
L. exponensex, out, ponĕre, to place.

## Usage

### In literature:

They were exponents of the 'new freedom,' whatever that is.
"Ruth Fielding Down East" by Alice B. Emerson
Another exponent of free enterprise, pre-historic style?
"Subversive" by Dallas McCord Reynolds
Such are the sentiments of the people, and such the sentiments of their representatives and exponents, the Lords and Commons.
"Farm drainage" by Henry Flagg French
The highest exponent of this type seeks to make her home something more than an abode where children are fed, clothed and taught the catechism.
"Searchlights on Health: Light on Dark Corners" by B.G. Jefferis
A further ground for the general unbelief is found in the peculiarities of the apostles and exponents of the new departure.
"The Arena" by Various
Mr. Bennet himself was a truly wonderful exponent of the art.
"The Heart of Arethusa" by Francis Barton Fox
Afterward she had simply become in memory the exponent of an ideal.
"Bonaventure" by George Washington Cable
Romances of roguery.+ The "romances of roguery" were closely akin to the popular drama as exponents of popular tastes and standards.
"Folkways" by William Graham Sumner
Or, as Barnard Haw, the higher exponent of the Webberfield philosophy, might say: 'What it iss?
"Iole" by Robert W. Chambers
She was the first exponent of the law of Judgment after Death for Sin.
"Our Fathers Have Told Us" by John Ruskin
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### In news:

Exponent Staff Photographer Scott Mohler.
NewsChannel 18's partner The Exponent has more coverage of.
Richmond Times-Dispatch Culpeper Star Exponent Published: November 07, 2012.
Clarksburg City Manager Martin Howe says that includes a \$13.8 million loan from the US Department of Agriculture and \$21 million from two banks, according to the Exponent-Telegram.
Clarksburg City Manager Martin Howe says that includes \$13.8 million loan from the US Department of Agriculture and \$21 million from two banks, according to the Exponent-Telegram.
The Associated Press Culpeper Star Exponent Published: November 07, 2012.
Charlottesville Daily Progress Culpeper Star Exponent Published: November 07, 2012.
Aaron Maybin has learned how to compute absolute values, functional notations and negative and fractional exponents.
In their own eyes they are the northern hemisphere's premier exponents of rugby.
Instructor for the course is Dr Jeff Colwell, a Principal Engineer for Exponent in Phoenix.
The Grammy-winning Argentine composer and pianist Pablo Ziegler, a leading exponent of nuevo tango, and once a member of Astor Piazzolla's ensemble, will be the festival 's featured artist.
Lynne Blumberg, Jewish Exponent Feature.
This story from Philadelphia's Jewish Exponent shows that at least one congressional candidate has figured out that associating with the far-Left lobby can be dangerous for his political health.
Matthew Thomas, Exponent Photo Editor.
Jeff Say Culpeper Star Exponent Published: October 21, 2012.
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### In science:

L−2(1−α)/ν where L is the linear size of the system, α is the speciﬁc heat exponent, β is the magnetization exponent and ν is the correlation length critical exponent.
Ground state numerical study of the three-dimensional random field Ising model
In contrast, the exponents γ and β , which give respectively the critical behaviour of the mean cluster size and the mean size of the largest cluster, do not have the expected values of the thermodynamic exponents.
Clusters in Simple Fluids
Section 3 provides a formula which relates the Lyapunov exponent of Hω to the Lyapunov exponent of products of independent unimodular matrices (the word transfer matrices), thus making Furstenberg’s theorem applicable to our model.
Localization for Discrete One Dimensional Random Word Models
Thus the speciﬁc heat exponent is α = 0 and the correlation length exponent is ν = 1.
Phase transition in the 2d random Potts model in the large-q limit
For the operator of photon (3.19) it means (due to unit dimension of pre-exponent) that p2 = 0, or, alternatively, that the (anomalous in the sense of two-dimensional conformal ﬁeld theory) dimension of the exponent in (3.19) vanishes.
String Theory or Field Theory?
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