derivative 
Aliasing error bounds are derived for one and twochannel sampling series analogous to the WhittakerKotel'nikovShannon series, and for the multiband sampling series, and a "derivative" extension of it, due to Dodson, Beaty, et al.


Examples are considered, and the frame bounds in the case of sampling of the signal and its first derivative are calculated explicitly.


This article also gives a single necessaryandsufficient condition for a holomorphic function to be the transform of a function f such that any derivative of f multiplied by any polynomial is in Lp (d, ρ).


Applying a special derivative reproducing property, we show that when the kernel is real analytic, every function from the RKHS is real analytic.


5Aza analogs were prepared of several tryptamine derivatives and a skatole derivative known to bind at human 5HT6 receptors and evaluated to determine if they bind in a manner similar to their indolic analogs.


Molecules 6f, i, and j inhibited only COX1, and the disubstituted ethoxy derivative (6g) was inactive as a COX inhibitor (≤ 100?μM).


The nitrile derivative 7 was obtained by dehydration of the amide 3 in a mixture of SOCl2 and Dimethylformamide (DMF).


Cyclocondensation reaction of 7 with anhydrous hydrazine led to the formation of 7aminopyrazolo[3,4d]pyridazine 8 derivative.


The finding of antibacterial activity study showed that the sulfamide derivative 5 was the best compound of the series, exhibiting antibacterial activity against both Grampositive and Gramnegative bacteria.


A new method to compute the first derivative of 3D Radon transform is given for conebeam data taken from any orbit.


For realvalued functions defined on Cantor triadic set, a derivative with corresponding formula of NewtonLeibniz's type is given.


In this paper the derivative and its exceptional Sct according to the alternatively jumping function and selfsimilar function respectively are discussed.


2(2) of "Calculus on Cantor triadic Set (I)derivative" which is important to the discussion of exceptional Set is given.


A class of multiderivative hybrid onestep methods of order at least s+1 is constructed with s+1 parameters, where s is the order of derivative.


Furthermore, a class of Astable 2 parameters hybrid onestep methods of order at least 8 are constructed, which use 4th order derivative.


Optimal L2 and H1 estimates for the error and its time derivative are established.


It is available for the case that the sign of f(x) changes frequently or the derivative f'(x) does not exist in the neighborhood of the root, while the Newton method is hard to work.


By Monte Carlo simulationbased approximations of the objective function and its first (second) derivative, an inexact LagrangeNewton type method is proposed.


Using the duality theory of the linear programming and convex theory, the generalized directional derivative of the general multicommodity minimal cost flow problems is derived.


A derivativefree algorithm for unconstrained optimization

