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In the last years, the theorem of Weil on multiplicative character sums has been very frequently used for getting existence results on combinatorial designs of various kinds.
However, even for small sensor perturbations, degradation in performance remains significant because of the multiplicative character of the perturbation with the signal.
Taking into account the inextricable and multiplicative character of the link between knowledge and the social relations out of which knowledge emerges changes the question, as well as the subject, according to Fulkerson.
Let us now introduce the multiplicative character mentioned above by introducing (u x,tau)) through the following change of variables, logfrac{v x,tau)}{u x,tau)}=Lambda x-frac{Lambda^{2}}{4}tau.
Applying the Park method provides an estimate of α ^ = 1.073, recovering the multiplicative character of the generated noise and demonstrating how the process can distinguish between, for example, additive, Poissonian, and multiplicative noise in datasets.
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As in number theory, where the coefficients in Dirichlet L-series are multiplicative characters, also dynamical zeta functions have coefficients which are multiplicative by definition.
Let q be a prime power, χ, ψ be a multiplicative and additive character mod q, respectively, with χ non-principal.
Multiplicative excitation has a random character only and acts as a perturbation of aeroelastic and elastic parameters of the system.
Prior to analysis, the character harvest weight was adjusted to fixed age (620 days), using multiplicative correction factors, to account for the different times of fish growth, so the covariate age was not included in the genetic analysis.
If R is an object in k - a l g we will denote the corresponding multiplicative and additive groups by G m, R and G a, R. We will use bold roman characters, e.g. G, g to denote k -groups and their Lie algebras.
The A.B.C. Conjecture is a famous unproved theory about the relationship between the multiplicative and additive properties of numbers.
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CEO of Professional Science Editing for Scientists @ prosciediting.com