Structural analyses were performed on the intact glycopeptides and on the linkage region oligosaccharide-peptides derived from the keratan sulfate proteoglycan from monkey cornea (Nakazawa, K., Newsome, D.A., Nilsson, B., Hascall, V.C., and Hassell, J.R. (1983) J. Biol. Chem. 258, 6051-6055) using trifluoroacetolysis, Smith degradation, chromium trioxide oxidation, and gas-liquid chromatography...

This paper presents a proof of Stirling's formula using Haar wavelets and some properties of Hilbert space, such as Parseval's identity. The present paper shows a connection between Haar wavelets and certain sequences.

objective(s): in spect, the sinogram contains scatter and lack of attenuated counts that degrade the reconstructed image quality and quantity. many techniques for attenuation and scatter correction have been proposed. an acceptable method of correction is to incorporate effects into an iterative statistical reconstruction. here, we propose new maximum likelihood expectation maximization (mlem) ...

this paper deals with the boundary value problem involving the differential equation ell y:=-y''+qy=lambda y, subject to the eigenparameter dependent boundary conditions along with the following discontinuity conditions y(d+0)=a y(d-0), y'(d+0)=ay'(d-0)+b y(d-0). in this problem q(x), d, a , b are real, qin l^2(0,pi), din(0,pi) and lambda is a parameter independent of x. by ...

It is shown in this paper that Euler was first to derive the finite rotation formula which is often erroneously attributed to Rodrigues, while Rodrigues was responsible for the derivation of the composition formulae for successive finite rotations and the so-called Euler parameters of finite rotation. Therefore, based upon historical facts, the following nomenclature is suggested: Euler's finit...

In a recent paper, M. B. Nathanson [Nathanson] finds the highest order term of the asymptotic formula for the number of partitions with parts in a finite set. This is done without referring to the partial fraction expansion of the generating function. In this paper, we essentially find the entire asymptotic formula without using partial fractions. This is done by the “metaphysical method” descr...

In this paper a new analytical method is presented for analyzing cellular networks with connections that change their transmission rate during the session. The method is based on a Markovian model of a single base station and an approximate recursive formula following from the Markov model. This formula is applicable for calculating call level system parameters rapidly with reasonable error. Tw...

We assume familiarity with standard notions and notation in propositional modal logic (cf. e.g. [4] or [5]). As usual, we say that a (propositional normal modal) logic L is complete if `L P iff |=L P (where |=L P means that the formula P is valid in all frames for L). Also, we say that a formula P corresponds to a first-order formula χP if for each frame F , F |= P iff P satisfies the elementar...