Sentence examples for terms of fractional from inspiring English sources

Most notably in terms of fractional reserve banking.

The results are interpreted in terms of Fractional Brownian Motion Theory, and the theory of nonlinear dynamics.

Asymptotic expansions are then obtained in terms of fractional powers of two parameters: the modification and the mistuning parameter.

Many models are formulated in terms of fractional derivatives, such as in viscoelasticity, electrochemistry, electrode-electrolyte polarization, signal processing, diffusion processes, control processing, etc.

We study the resulting regularity of the moment ∝ u x, v) dμ v) (in terms of fractional Sobolev spaces, for example).

It is easy to judge, by applying the Laplace transformation, that it is essential to use a fractional order initial condition to analyze any physical phenomenon which has been expressed in terms of fractional differential equations.

For the term of fractional in (1.1), the infinite quadrature rule must be truncated to a finite sum.

However, all the previous works avoid the term of fractional initial conditions in the space-time telegraph equations.

The mathematical modeling and simulation of systems and processes, based on the description of their properties in term of fractional derivatives, naturally leads to differential equations of fractional order and to the necessity to solve such equations.

The temporal characteristics of each state may be quantified in terms of their fractional occupancy (fraction of the total time spent in a state; Figure 3B), life times (time spent in a state before making a transition; Figure 3C), and interval lengths (time between consecutive state visits; Figure 3D).

Moreover, in terms of incommensurate fractional order systems, a simple fractional differentiator-based controller is designed to suppress chaos.