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The characteristics function of is given by (54).
Since r ( z ) ≢ 0, we get γ ( z ) n + p ( z ) μ ( z ) ( γ ( z + c ) e ν ( z ) − γ ( z ) ) ≢ 0. Comparing the characteristics function of both sides of the above equation, we get a contradiction.
Since r ( z ) ≢ 0, we get ϕ ( z ) + p ( z ) e q ( z ) ( ϕ ( z + c ) φ ( z ) − ϕ ( z ) ) ≢ 0. Comparing the characteristics function of both sides of the above equation, we get a contradiction.
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The theory of the characteristic function of an optical system was further developed in three supplements.
The characteristic function of all legislatures is the making of law.
Time propagation involves the product of the updated characteristic function of the ucpdf and the characteristic function of the process noise.
E.g., this quasipolynomial results as the characteristic function of PID controlled linear time delay systems.
Neural-Network (NN) is used to parameterize the nonlinear characteristic function of the friction model.
For a measurement update, the a posteriori characteristic function of the unnormalized conditional probability density function (ucpdf) of the state given the measurement history is obtained as a convolution of the a priori characteristic function of the ucpdf with the characteristic function of the measurement noise.
Expressing the correlated basic variables in terms of two sets of uncorrelated random variables, the characteristic function of their sum can be estimated approximately by the characteristic functions of the correlated basic variables.
The linear stability analysis of the rectilinear motion is performed via the analytically determined characteristic function of the system.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com