A new series of 2-(ortho & para substituted phenoxy)1-(3-(3-chloro-4-methoxyphenyl)-5-(substituted phenyl)-4,5dihydropyrazol-1-yl)ethanone were synthesized. Ortho and para substituted phenol was refluxed with ethylchloroacetate in dry acetone in presence of anhydrous potassium carbonate to yield ethyl (ortho & para substituted phenoxy) acetate (1). The substituted ester on reaction with hydrazi...

This article investigates a set of partial differential equations, the DT-instanton whose solutions can be regarded as generalization notion Hermitian-Yang-Mills connections. These equations owe their name to hope that they may useful in extending DT-invariant case symplectic 6-manifolds. In this article, we give first examples non-Abelian and irreducible DT-instantons on non-K\"ahler manifolds...

Classes of non-Hermitian operators that have only real eigenvalues are presented. Such operators appear in quantum mechanics and are expressed in terms of the generators of the Weyl-Heisenberg algebra. For each non-Hermitian operator A, a Hermitian involutive operator Ĵ such that A is Ĵ-Hermitian, that is, ĴA = AĴ , is found. Moreover, we construct a positive definite Hermitian Q such that A is...

By further generalizing the concept of Hermitian (or normal) and skew-Hermitian splitting for a non-Hermitian and positive-definite matrix, we introduce a new splitting, called positive-definite and skew-Hermitian (PS) splitting, and then establish a class of positivedefinite and skew-Hermitian splitting (PSS) methods similar to the Hermitian (or normal) and skew-Hermitian splitting (HSS or NSS...

To Ivan Koll a r, on the occasion of his 60th birthday. Abstract. We introduce an explicit procedure to generate natural operators on manifolds with almost Hermitian symmetric structures and work out several examples of this procedure in the case of almost Grassmannian structures. This paper splits into two parts. In the rst part, we introduce a procedure to generate invariant operators on mani...

We experimentally simulate in a photonic setting non-Hermitian (NH) metals characterized by the topological properties of their nodal band structures. Implementing nonunitary time evolution reciprocal space followed interferometric measurements, we probe complex eigenenergies corresponding NH Bloch Hamiltonians, and study detail topology exceptional lines (ELs), counterpart Hermitian systems. f...