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We base our derivation on the noise model that explicitly includes two parts, one of them being Gaussian to model thermal noise and the other being uniform to model the rare impulses.
By derivation on the measurement equation, we find that the condition number of the observed matrix can reflect the mean square error of the measuring point.
Usually, in order to get the values of derivation on the node, it has to differentiate the equation with spatial variable.
In particular we obtain that if the trace τ is finite then any derivation on the non-commutative Arens algebra Lω(M,τ) is inner.
Using techniques of non-abelian harmonic analysis, we construct an explicit, non-zero cyclic derivation on the Fourier algebra of the real ax+b group.
By using the compact scheme for the values of derivation on the nodes, we present a new compact scheme based on the characteristic method for solving KdV-Burgers equations.
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Derivation of the on-axis X tang, p from the on-axis 50% dose position.
Further details on derivation of the hazard function are given in the paper of Little et al. [12].
The coincidence between theoretical calculations and Monte Carlo simulations validates the derivations on the statistics of ICI.
The effect of wind is theoretically elucidated by derivations on the pressure differences between inside and outside.
We give a complete description of all derivations on the above algebras of operators in the case of type I von Neumann algebra M. In particular, we prove that if M is of type I∞ then every derivation on LS M) (resp. S(M) and S M,τ)) is inner.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com