Sentence examples for shift operator and from inspiring English sources

B denotes the backward shift operator, and ( varepsilon_{t} ) denotes the purely random process.

where is the backward shift operator and is a generating function.

Define also in the shift operator and its adjoint (2.2). as well as the diagonal operator (2.3).

Also, the solutions of boundary value problems for Laplace-Bessel and Bessel operators are corresponding to the generalized shift operator and Bessel-generalized shift operator, respectively.

where I N is N × N identity matrix; S is the shift operator and Ω B j T j ± 1 ~ U ( 0, 1 ).

Definition 3.3 Let T y be the Bessel-generalized shift operator and let f be a Schwartz function on R + n.

Spatial shift operator and temporal forward shift operator are introduced to model the interconnected systems as discrete time-space multidimensional linear systems with Markovian jumping parameters which reflect the state of communication channels.

where d is the degree of differencing; θ 0 is the deterministic trend term; B and its superscript represent shift operator and the amount of shift to be applied, respectively, as B^{d}Z_{t} = Z_{t-d}; (3).