# exponent

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## exponent,

in mathematics, a number, letter, or algebraic expression written above and to the right of another number, letter, or expression called the base. In the expressions x2 and xn, the number 2 and the letter n are the exponents respectively of the base x. The exponent indicates the power to which the base is to be raised. When exponents were first introduced, only positive whole numbers were used, and the exponent indicated how many times the base was to be taken as a factor; e.g., 25=32, or 2·2·2·2·2=32. In advanced algebra, fractions, zero, and negative numbers are also used as exponents. Particular meanings have been assigned to these types of exponents so that they obey the same algebraic rules as does the simpler type of exponent. A fractional exponent such as 1-4 or 1/n indicates the fourth or nth rootroot,
in mathematics, number or quantity r for which an equation f(r)=0 holds true, where f is some function. If f is a polynomial, r is called a root of f; for example, r=3 and r
, respectively, of the base. Any nonzero quantity raised to the zero power equals one; e.g., x0=50=(a2+b2)0=1. A negative exponent indicates the reciprocal of the quantity; e.g., x−2 means 1/x2. When quantities of the same base are multiplied together, their exponents are added; e.g., x2·x3=x5. Note that the base must be the same. When a quantity already containing an exponent is raised to a power, the exponents are multiplied; e.g., (x2)3=x6.

## exponent

[ik′spō·nənt]
(mathematics)
A number or symbol placed to the right and above some given mathematical expression.

## exponent

Maths a number or variable placed as a superscript to the right of another number or quantity indicating the number of times the number or quantity is to be multiplied by itself

## exponent

(programming)
(Or "characteristic") The part of a floating-point number specifying the power of ten by which the mantissa should be multiplied. In the common notation, e.g. 3.1E8, the exponent is 8.

## exponent

The number written above the line and to the right of a number that indicates the power of a number. For example, 14 to the 4th power is actually 14 multiplied by itself four times. Sometimes, the exponent naturally indicates the number of zeros. For example, 10 to the 3rd power reflects three zeros. The number 467,000 can be stated as 467 x 10 to the 3rd. On a screen or printout, that number is expressed as 467E3. See floating point.
References in periodicals archive ?
Qian and Rasheed (2004) used the Hurst exponent to establish the predictability of the time-series as well as to estimate the embedding dimension and separation.
It is common to refer to the largest [lambda] defined by (1) as the maximal Lyapunov exponent because it determines a notion of predictability for a chaotic system.
The property of long-term memory of the daily returns was studied using Hurst exponent calculated from the DFA proposed by Peng et al.
For the precipitation anomaly records, the curves are straight lines with approximately the same scaling exponent across all time scales using FA and DFA1-3, implying that there are no obvious nonlinear trends.
Considering the limitations of the Lyapunov's stability theory for complicated nonlinear systems, in this section, Lyapunov exponent method is applied to analyze the dynamic stability of the MUAV system in the case of manipulator movements.
"We are not surprised to see that charitable giving will increase in 2017 given the performance of financial markets and a preponderance of need both domestically and abroad," Exponent Philosophy's chief executive Henry Berman said in a statement.
In its first subsection, the estimation of the Hurst exponent is shortly revisited.
DCC sold the division to private equity firm Exponent. The enterprise value for the transaction is GBP 21m (USD 27.03m) on a debt-free, cash-free basis.
The number [lambda] is called Lyapunov exponent, is defined by (7) and is used to quantify the chaotic behavior in dynamical systems.
(NYSE, Nasdaq: VZ) has launched Exponent, a new business and technology venture offering a portfolio of software and Internet platforms designed to enable carriers around the world to quickly deploy and launch next-generation solutions, the company said.
The top Lyapunov exponent of the nonlinear system is evaluatedby Wolf's algorithm [25] to check whether the chaotic phenomenon of the nonlinear system occurs.
Equation (6) is termed the hierarchical allometric scaling relation between urban area and population, and b is the allometric scaling exponent of an urban hierarchy.

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