Sentence examples for fractional functions from inspiring English sources

Complex fractional functions are used as wavelets and properties of the wavelet transform are studied.

end{aligned}These fractional functions have the period (2pi _{alpha } approx 2pi).

Because of the construction of the membership functions, the newly added constraints contain quadratic fractional functions.

Particularly, in [13], Yang gave the analysis of local fractional functions on fractal space systematically, which includes local fractional calculus and the monotonicity of function.

The fractional functions (sin _{alpha } (omega ^{alpha } t^{alpha } )) and (cos _{alpha } (omega ^{alpha } t^{alpha } )) both are periodic functions with the period ((2pi _{alpha } /omega )).

This paper presents a practicable regional division and cut algorithm for minimizing the sum of linear fractional functions over a polyhedron.

The estimate is asymptotically sharp and is expressed in terms of linear fractional function q(c).

The feedback of the developed observer consists of different functions of the estimation errors, including fractional function, signature function and integral function etc.

The objective function for balanced clustering is a submodular fractional function, i.e., the ratio of two submodular functions, and thus includes the well-known ratio cuts as special cases.

It is shown that the magnitude of the Poisson's loss factor is approximately proportional to the difference between the shear and bulk loss factors, and is a rational fractional function of the dynamic Poisson's ratio.

Thus, there exists a non-fractional expression that is equal to a fractional function.