The analogous theory for discrete fractional calculus was initiated by Miller and Ross [7], where basic approaches, definitions, and properties of the theory of fractional sums and differences were reported.
Appendix A is devoted to some basic aspects of the mechanics of the microstructure; Appendix B to a comparison between the present theory and an analogous theory from the literature (Forest and Sab, 2012).
In the study of our emotional world, there's no analogous theory of everything, but if there were, empathy and giving would be at the center of it.
For further developments, including analogous theories of function spaces on RD-spaces, we refer to [6, 7, 11, 12] and [13].
Analogous rigorous theory for spherical electrodes has not been available thus far, despite the fact that the use of spherical microelectrodes for kinetic studies is often advantageous.
Moreover, in Fundamentals of Concept Formation in Empirical Science (1952), Hempel had endorsed explication as a method of definition analogous to theory construction by taking words and phrases that are somewhat vague and ambiguous and subjecting them to a process of clarification and disambiguation.
In Brown 2004 and Brown 2007, this concept is generalized to that of an extensional expansion proof to obtain an analogous theorem involving type theory with extensionality.
In general, there has been little effort to create a 'fundamental radar network theory', analogous to what information theory is for communication networks.
In this paper, by using the methods from quaternion calculus, we investigate the H λ -regular vector functions, that is, the complex vector solutions Ψ ( t, z ) = ( ψ 1 ( t, z ) ψ 2 ( t, z ) ) of the equation D Ψ = 0, and work out a systematic theory analogous to quaternionic regular functions.
The mapping which sends an equivalence class (or idempotent) to its associated dimension function plays a role in the nest algebra theory analogous to the role played by the mapping sending a projection in a Type I W∗-algebra to its center valued trace.
The relations between the base velocity and concentration profiles and the velocity and concentration fluctuations have been established, analogous to the theory of statistical physics which describes the relation between the fluctuating forces and velocities for particles in non-equilibrium systems.
