exponent

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exponent

(ĕks′pō-nĕnt)

In mathematics, the number that indicates the power to which another number is to be raised. It is written as a superscript (e.g., 10² or x² indicates that 10 and x are to be squared, or multiplied by themselves). The exponent can have any numerical value and may be positive or negative; it does not have to be a whole number.

exponent

a number or quantity placed as a superscript to the right of another number or quantity, indicating how many times the number is to be multiplied by itself. For example, 106.

Collins Dictionary of Biology, 3rd ed. © W. G. Hale, V. A. Saunders, J. P. Margham 2005

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The first calculation performed was the Hurst Exponent for the Saudi Basic Industries return from 09/21/2005 to 09/21/2010.

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Lyapunov exponent, as an important exponent to test the property of chaotic map, is widely used in the world of chaos.

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(2004) modeled the daily returns series of the PSI-20 using a formulation of fBm and determined the Hurst exponent by DFA from 1993 to 2001.

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The values of scaling exponent in temperature anomaly records are significantly higher than those in precipitation.

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From Figures 3 and 4, we can see that the Lyapunov exponents of Figure 3 are less than 0 or tend to be 0, while in Figure 4, there is one exponent that is greater than 200 with no tendency to 0.

Dynamic Stability and Control of a Manipulating Unmanned Aerial Vehicle

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The top Lyapunov exponent of the nonlinear system is evaluated by Wolf's algorithm to determine whether the chaotic phenomenon of the nonlinear system actually occurs.

Chaotic Motion in Forced Duffing System Subject to Linear and Nonlinear Damping

A number of algorithms can be employed to estimate the power exponent values, including the least squares method (LSM), maximum-likelihood method (MLM), and major axis method (MAM).

A Hierarchical Allometric Scaling Analysis of Chinese Cities: 1991-2014

The theory of function spaces with variable exponent was extensively studied by researchers since the work of Kovacik and Rakosnik [6] appeared in 1991; see [7,8] and the references therein.

Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels