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
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, 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 ?
An organism's metabolism, they proposed, is proportional to its mass to the 3/4 power times a function in which body temperature appears in the exponent.
The results (Figure 4) show that the Stevens's exponent is diagnostic not of the apparent dimensionality of a set of objects, but only of the effective dimensionality, which is the number of dimensions showing variation.
Such numbers are so-called the Lyapunov exponents of [mu].
In other words, the soil and nutrient levels proposed in the present study may be favored by some species, so the scaling exponent changed with species.
Nawrat, "On the sigma exponent of discrete linear systems," IEEE Transactions on Automatic Control, vol.
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Simon Davidson, partner at Exponent said: "Under Exponent's ownership, Quorn has been transformed into a fast-growing global health brand.
The hiring of Exponent was first reported by Japan's Jiji News on Monday and confirmed by a Honda spokesman in Tokyo.
Since random walk (martingale) is not applicable in this case, we employ the Hurst Exponent (Hurst, 1951) to test the EMH because it affords a measure for both long-term memory and fractality of a time series, has fewer assumptions about the underlying system, and does not assume a normal distribution.
HSS' owner, private equity company Exponent, is said to be keen on floating the company.
Among the topics are the lower Perron exponent and its properties, Millionschikov's method of rotation and the attainability of central and exponential exponents and their instability, Lyapunov transformations, linear systems under exponentially decreasing perturbations, and asymptotic stability by linear approximation.