(iv) (mathcal{S}^(1 - 1-alpha ee^{-ilambda} coslambda )), (mathcal{C}^((1-alpha e^{-ilambda} coslambda)), (mathcal{C}^^((1-alpha)e^{-ilambda} 1-alpha e)), (0 leq alpha< 1-alpha ebda|
(mathcal{S}^(1 - 1-alpha ee^{-ilambda} coslambda )), (mathcal{C}^((1-alpha e^{-ilambda} coslambda)), (mathcal{C}^^((1-alpha)e^{-ilambda} 1-alpha e)), (0 leq alpha< 1-alpha ebda|
There is a blending of analytic and order theoretic approaches in the proofs.
Because the first order of detector has no analytic expression, we cannot obtain the accurate value of the first detection threshold η1 by calculation, but it can be obtained by the widely used Monte-Carlo tests on the pure clutter for the false alarm probability Pfa1.
His poetry is an exploration and celebration of the operations of consciousness, the skills of the trained poet, and the drama of the creative intellect, overseeing the interplay of sensations, memory, imagination, and, most of all, the ordering and analytic faculty of reason.
In [13], the authors also investigated the growth and value distribution of infinite order analytic functions represented by Laplace-Stieltjes transformations convergent in the right half-plane.
In order to carry out the analysis of governance evolution, a set of analytic categories must be pinpointed.
In this study we used a suite of analytic methods aimed at isolating distribution patterns in order to infer the mechanisms driving the patterns.
However, since typical experiments use on the order of k ≈ 30 PCR cycles, analytic derivatives of P with respect to T result in unwieldily and numerically-unstable expressions.
If we think of the set of analytic sentences as closed under logical consequence, as Quine suggests, then all first-order logical truths 'would then perhaps qualify as analytic' (Quine, 1991, 270).
