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The model consists of arbitrary linear and cubic operators.
Measured power was close to identical with receive antennas of co- and counter-rotating circular polarization and of arbitrary linear polarization.
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The most crucial use of linearity for our purposes is the representation of an arbitrary linear filter as a matrix operator.
A representation of an arbitrary linear time-varying digital filter has been constructed which characterizes such a filter as having the ability to generate an arbitrary output in response to each basis function in the signal space.
The stability problem associated with an Euler-Bernoulli beam made of an arbitrary linear viscoelastic material is formulated.
Suppose y(n)=h(n)⊗x(n), where h(n) denotes the impulse response of an arbitrary linear system.
According to [41], every closed linear subspace of an arbitrary linear normed space E, different from E, is a nowhere dense set in E. Hence, on account of Theorem 3.12, it suffices to prove that (m_{0}(widehat{F} neq m widehat{F})).
The eigenfunction (u(cdot, omega)=sum_{j=1} ^{l}d_{j}u_{j} (l=2, 3, ldots, 2m) ) of (lambda omega)) is an arbitrary linear combination of l linearly independent eigenfunctions.
The information stored in a single qubit exists in a superposition of two quantum states which indicates an arbitrary linear combination of two orthonormal basis.
Equation (3.10) is a inhomogeneous second-order linear difference equation; its solution takes the form of a particular solution added to an arbitrary linear combination of solutions to the associated homogeneous linear difference equation(3.8).
In order to characterize dislocation activities involving all slip planes, we suggest the crystalline energy to be a function of a general plastic strain tensor produced by arbitrary linear combinations of simple shears associated with each slip system.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com