For instance, in the theory of dynamical systems, the vector function space would define the state space, and the mapping ( t, x ) → T t ( x ) would represent the evolution function of a dynamical system.
For instance, in the theory of dynamical systems, the vector function space would define the state space and the mapping ((t, x rightarrow T_{t}(x)) would represent the evolution function of a dynamical system.
For instance, in the theory of dynamical systems, the modular function space L ρ would define the state space and the mapping ( t, f ) → T t ( f ) would represent the evolution function of a dynamical system.
For instance, in the theory of dynamical systems, the modular function space L ρ would define the state space and the mapping ( t, x ) → T t ( x ) would represent the evolution function of a dynamical system.
The class of problems (1.1) appears in many nonlinear phenomena, for instance, in the theory of quasiregular and quasiconformal mappings [1 3], in the generalized reaction-diffusion theory [4], in the turbulent flow of a gas in porous medium and in the non-Newtonian fluid theory [5].
The class of problems (1.1) appears in many nonlinear phenomena, for instance, in the theory of quasi-regular and quasi-conformal mappings [1 3], in the generalized reaction-diffusion theory [4], in the turbulent flow of a gas in a porous medium, and in the non-Newtonian fluid theory [5].
Arithmetic, for instance, is the theory of aggregates, i.e., the theory of collections of concrete entities.
For instance, in TCM theory, the strength of a person's voice or handshake provides some information about their Qi.
For instance, they play a central role in the theory of integral equations and in various problems of mathematical physics.
One might attempt a more sophisticated explanation of the notion of ruling out, for instance in terms of information theory, or perhaps possible worlds.
For instance, the classical theory of elementary arithmetic, Peano Arithmetic, can no longer be accepted.
