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The design variables include the network topology defined over a template and the microchannel diameters chosen among a finite set of values.
Let (d_{n,k}) and (c_{n,k}) be different from each other for at most a finite set of values of n.
When either or is an information symbol (not a pilot), this multiplication result is a random variable, uniformly distributed over a finite set of values with zero average.
It works by encoding values from a multidimensional vector space into a finite set of values from a discrete subspace of lower dimension.
The optimal input signal is designed by maximizing a scalar cost function of the information matrix, where the input signal is a realization of a stationary process with finite memory, with its range being a finite set of values.
Let (G alpha)=sum e alpha f(x_{1},ldots,x_{m}))), where f is any real function and the summation is over any finite set of values of (x_{1},ldots,x_{m}).
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(Transaction Dimensions) Given a specific kind of transactions and the data attributes involved in transactions, each attribute value domain is partitioned into a finite set of value intervals according to practical data.
For inputs and outputs with finite sets of values this criterion translates into a test of consistency of a certain system of linear equations and inequalities (Linear Feasibility Test) which can be performed by means of linear programming.
Since (mathsf {W}_infty ) is a basis of the linear space of continuous functions (X^omega longrightarrow mathbb {C}) with finite sets of values, and this space is dense in the Hilbert space (L^2(X^omega )), the Walsh basis is an orthonormal basis of (L^2(X^omega )).
and with being a set of values of finite linear measure.
Unlike static data fragmentation, where the set of values is finite, partitioning of streamed data, due to its unbounded nature and unpredictable rate, is associated with a risk of splitting semantically connected RDF triples into separate streams, which in turn may result in incorrect deductions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com