We discuss the Schur complement formula for quaternionic matrices, M , and give an efficient method to calculate the matrix inverse. We also introduce the functional D[M ] which extends to quaternionic matrices the non-negative number |det[M ]|. 1. Introduction. Much of the spectral theory of complex matrices does not extend to quaternion matrices without further modifications [1, 2, 3]. In par...

We construct p-adic L-functions associated with triples of finite slope families quaternionic automorphic eigenforms over totally real fields on Shimura curves. These results generalize a previous construction, joint work D.Barrera, performed in the ordinary setting.

Based on the comprehensive analysis of previous research about the spiral bevel and hypoid gear, principle of forming spherical involute tooth surface was proposed with the spherical involute that was new theory applied in the field of their modeling. According to precise shape of tooth surfaces, each part of the quick and accurate derivations of the basic parametric equation of the tooth profi...

conclusions detection of drug resistance associated with mutations through real-time pcr by melting analysis technique showed a high differentiating power. this technique had high concordance with the standard proportion test and mas-pcr results. patients and methods in a cross-sectional study carried out in 2014, 90 patients with m. tuberculosis from five border provinces of iran were selected...

We characterise, in the setting of the Kodaira–Spencer deformation theory, the twistor spaces of (co-)CR quaternionic manifolds. As an application, we prove that, locally, the leaf space of any nowhere zero quaternionic vector field on a quaternionic manifold is endowed with a natural co-CR quaternionic structure. Also, for any positive integers k and l, with kl even, we obtain the geometric ob...

We derive an appropriate definition of transpose for quaternionic matrices and give a new panoramic review of the quaternionic groups. We aim to analyse possible quaternionic groups for GUTs.

Let N (l) be a continuous topological space. Recent developments in local calculus [19] have raised the question of whether every real, degenerate, semi-Kepler factor is linearly Noetherian. We show that every curve is pointwise semi-Hadamard, Thompson, almost surely ultra-reducible and non-continuously independent. It has long been known that every hyper-natural modulus equipped with a Pythago...

In this paper we generalize the known De Smet, Dillen, Verstraelen and Vrancken (DDVV)-type inequalities for real (skew-)symmetric complex (skew-)Hermitian matrices to arbitrary real, quaternionic matrices. Inspired by Erdős-Mordell inequality, establish DDVV-type in subspaces spanned a Clifford system or algebra. We also Böttcher-Wenzel inequality