In this paper we are concerned with the problem of solving numerically isospectral ows. These ows are characterized by the diierential equation L 0 = B(L);L]; L(0) = L 0 ; where L 0 is a d d symmetric matrix, B(L) is a skew-symmetric matrix function of L and B;L] is the Lie bracket operator. We show that standard Runge{Kutta schemes fail in recovering the main qualitative feature of these ows, ...

For a quasi-split classical group over p-adic field with sufficiently large residual characteristic, we prove that the maximum depth of representation in each L-packet equals corresponding L-parameter. Furthermore, for unitary groups, show is constant L-packet. The key an analysis endoscopic character relation via harmonic based on Bruhat–Tits theory. These results are slight generalizations re...

We show that the Kauffman bracket [L] of a checkerboard colorable virtual link L is an evaluation of the Bollobás-Riordan polynomial RGL of a ribbon graph associated with L. This result generalizes the celebrated relation between the classical Kauffman bracket and the Tutte polynomial of planar graphs.

‎For a homogeneous spaces ‎$‎G/H‎$‎, we show that the convolution on $L^1(G/H)$ is the same as convolution on $L^1(K)$, where $G$ is semidirect product of a closed subgroup $H$ and a normal subgroup $K $ of ‎$‎G‎$‎. ‎Also we prove that there exists a one to one correspondence between nondegenerat $ast$-representations of $L^1(G/H)$ and representations of ...

In this paper we focus on a time-extended theory of contact. It turns out that a suitable theory can be defined using L-valued or L-fuzzy version of a contact relation. We study this structure in the context of Goguen categories a suitable categorical formalization of L-valued/fuzzy relations.

We show that the Kauffman bracket [L] of a checkerboard colorable virtual link L is an evaluation of the Bollobás–Riordan polynomial RGL of a ribbon graph associated with L. This result generalizes the celebrated relation between the classical Kauffman bracket and the Tutte polynomial of planar graphs. 2000 Math. Subj. Class. 57M15, 57M27, 05C10, 05C22.

We use observations of 66 reverberation-measured \Mgii\ quasars (QSOs) in the redshift range $0.36 \leq z 1.686$ -- a subset 78 QSOs we previously studied that also have \rfe\ (flux ratio parameter UV \Feii\ to is used as an accretion-rate proxy) measurements simultaneously constrain cosmological model parameters and QSO 2-parameter 3-parameter radius-luminosity ($R-L$) relation six different m...

OBJECTIVE Current guidelines recommend a serum potassium (sK) level of 4.0-5.0 mmol/L in acute myocardial infarction patients. Recent trials have demonstrated an increased mortality rate with an sK level of>4.5 mmol/L. The aim of this study was to figure out the relation between admission sK level and in-hospital and long-term mortality and ventricular arrhythmias. METHODS Retrospectively, 61...

The band structure of the Lamé equation, viewed as a one-dimensional Schrödinger equation with a periodic potential, is studied. At integer values of the degree parameter l, the dispersion relation is reduced to the l=1 dispersion relation, and a previously published l=2 dispersion relation is shown to be partly incorrect. The Hermite-Krichever Ansatz, which expresses Lamé equation solutions in...

INTRODUCTION Animal studies demonstrated an interaction between angiotensin II (Ang II) responsiveness and endothelium-dependent relaxation (EDR). However, this relation has not been well described in humans. Therefore, we investigated the relation between Ang II responsiveness and EDR in isolated human arteries. MATERIALS AND METHODS Segments of the internal mammary artery (IMA) were harvest...