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So let's begin with a discussion of discrete-time signals, and in particular the issue of how discrete-time signals can be decomposed as a linear combination of delayed impulses.
In order to calculate the action of etN, we show that this operator can be decomposed as a product of simpler operators on a dense subspace of analytic vectors of L2(Rn) and for sufficiently small t⩾0.
Its proof depends on a new theorem in discrete probability: a probability measure on a finite product space such as A^n can be decomposed as a mixture of a controlled number of other measures, most of them exhibiting a strong 'concentration' property.
Under the assumption that each machine line is dedicated to produce one product family, the model can be decomposed as a relatively small subproblem, and each subproblem has good properties by which the subproblems can be further simplified and decomposed over multiple planning periods.
The main idea is that an element in a sufficiently small neighbourhood of the identity of a Lie group can be decomposed as a product in terms of coordinates of the second kind (called splitting formula), and this carries over to the related operators by the Baker Campbell Hausdorff formula.
This network can be decomposed as a concatenation product [5, 12] of several components in series.
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The mechanical transmission is decomposed as a sequence of perfect power transmission, friction and compliance.
The problem is decomposed as a binary tree, where each node is categorized as either capital-dominant or energydominant problem.
By using the inclusion principle and permutation transformation, the system is decomposed as a group of pair-wise subsystems in the expanded space.
When no external potential is applied HPF turns translation-invariant and it is decomposed as a direct integral HPF="∫R3⊕HPF(P dP.
The temperature history in any point of the channel was decomposed as a combination of steady-state and two harmonic components leading to a linear system of differential equations.
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