background: several echocardiographic markers have been introduced to assess the left ventricular (lv) mechanical dyssynchrony. we studied dyssynchrony markers and the latest lv activation site in heart failure patients with and without left bundle branch block (lbbb). methods: conventional echocardiography and tissue velocity imaging were performed for 78 patients (lv ejection fraction ≤ 35%),...

We present a new method of calculating intertwining operators between principal series representations of semisimple Lie groups G. Working in the compact realization we nd the eigenvalues of the operators on the K-types, and give several examples. Among the advantages of our method is its applicability to bundle-valued cases. 0. Introduction Intertwining operators of various forms play an impor...

We present a formal geometric framework for the study of adiabatic quantum mechanics arbitrary finite-dimensional non-degenerate Hamiltonians. This generalizes earlier holonomy interpretations phase to non-cyclic states appearing non-Hermitian start with an investigation space operators on state space. then show how energy bands Hamiltonian family form covering Likewise, we that eigenrays bundl...

Let $R$ be a regular local ring. $\mathbf {G}$ reductive $R$-group scheme. A conjecture of Grothendieck and Serre predicts that principal ${\mathbf {G}}$-bundle over is trivial if it the quotient field $R$. The known when contains field. We prove for large class rings

Let H be a connected semisimple linear algebraic group defined over C and X a compact connected Riemann surface of genus at least three. Let M X (H) be the moduli space parametrising all topologically trivial stable principal H-bundles over X whose automorphism group coincides with the centre of H . It is a Zariski open dense subset of the moduli space of stable principal H-bundles. We prove th...

It is the purpose of the present paper to outline an introduction in theory of embeddings in the 2-osculator bundle. First, we recall the notion of 2-osculator bundle ([9], [2], [4]) and the notion of submani-folds in the 2-osculator bundle ([9]). A moving frame is constructed. The induced connections and the relative covariant derivation are discussed in the fourth and fifth section ([15], [16...

Mechanically sensitive hair cells of the auditory and vestibular systems use Ca2+ to control adaptation of mechanical transduction, to effect frequency tuning, to trigger neurotransmitter release, and to mediate efferent synaptic signaling. To determine the role that pumps play in regulation of Ca2+ in the hair bundle, the organelle responsible for mechanoelectrical transduction, we localized a...

We compare two notions of G-fiber bundles and G-principal in the literature, with an aim to clarify early results equivariant bundle theory that are needed current work algebraic topology. also give proofs some generalizations well-known non-equivariant involving classifying space.

For many photogrammetric applications involving bundle adjustments, it is desirable to have a priori knowledge of the lens distortions, both radial and decentering. For close range applications involving focussing, other interior orientation parameters of principal distance and the location of the principal point may not be well known. A technique has been developed to determine the parameters ...