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An operator that has this characteristic is known as a truth-functional operator, and a proposition formed by such an operator is called a truth function of the operator's argument(s).
In the next section, the Green's function of the operator (A=A^{x}) defined by formula (4) is studied.
The second approach is based on a splitting of the operators, and the time integration method is function of the operator considered (fractional step schemes).
Let G x, y), x, y ∈, Rd denote the Green's function of the operator −12Δ + V, where V is a continuous, periodic function.
In this section, we briefly recall some basic results for the Green function of the operator (Delta_{alpha}=- -Delta)^{alpha/2}) anDelta_{alpha}=- -Deltasheet.
The second approach is based on a splitting of the operators, and we choose the time integration method as a function of the operator considered (multistep or fractional schemes).
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They established that, if q ∈ C 4 [ 0, 1 ], q ( 1 ) ≠ q ( 0 ), then the root functions of the operator L ( q ) form a Riesz basis in L 2 [ 0, 1 ], where L ( q ) denotes the operator generated by (1) and the periodic boundary conditions.
In the context of linear systems of equations, for instance, algebraic multi-grid methods, have been devised to solve linear systems by essentially resorting to divide-and-conquer strategies that utilize the relationship between the mesh and the eigen-functions of the operator.
(Exponential functional) An exponential functional is an identity function of the differential operator.
So you can get the function of the OR operator by typing in the "any of these words" box, for instance, or the NOT operator by using the "none of these words" field.
By studying the adjoint operator as in Section 1.3 of [3], we know that the related Green's function of the adjoint operator (G^) satisfies (G^ t,s)=G^{T} (s,t)).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com