Sentence examples for is not fractional from inspiring English sources

Equation 26 indicates that by adding and removing chirp CP, the linear convolution is turned into circular convolution (It is not fractional circular convolution).

We observed from the above research that these operators are not fractional Hahn operators because the conditions are not satisfied with (0< q<1).

Some integral of CF fractional derivative is not a fractional operator.

Moreover, in CF fractional derivatives, the associated integral is not a fractional operator.

If (Kneq1), then this process is not a fractional Brownian sheet, and the questions stated were not studied and are not trivial.

Since our scheme is not a fractional-step algorithm, it is straightforward to specify general physical boundary conditions accurately; however, this capability comes at the price of having to solve the time-dependent incompressible Stokes equations at each timestep.

In a special case where the proposed model is not satisfactory, another fractional order model structure with five free parameters is introduced to improve the model approximation.

We denote an auxiliary fractional integral and a differential as I^{alpha }_{b-}x t):=frac{M(1-alpha)}{alpha } int^{b}_{b-}x tau)exp biggl(-frac{(1-alpha)(tau -t)}{alpha } biggr),dtau, which is not the CF fractional integral as in [13], and ^{CF}D^{alpha }_{b-}x(t):=frac{M 1-alpha{1-alpha } frac{d}{dt} int^{b}_{t}x(tau)exp biggl(-frac{alpha (tau -t)}{1-alpha } biggr),dtau.

When ρ a is not known, a fractional approximation of T a (max) is (28) T ˜ a (max ⁡ ) = k P λ a R ψ a which has units of units a-protein per time per unit total RNA.

It was pointed out that the well-known Leibniz rule is not satisfied for fractional-order systems.

Since the relationship between birthweight and gestational is not linear, we used fractional polynomial regression to determine the best functional model which resulted in adding four fractional polynomial functions of gestational age to the model.