This paper is concerned with parametrization issues for rational lossless matrix valued functions. In the same vein as previous works, interpolation theory with metric constraints is used to ensure the lossless property. We consider here boundary interpolation and provide a new parametrization of balanced canonical forms in which the parameters are angular derivatives. We finally investigate th...

This paper describes the background field equations for strings in T-duality symmetric formalisms in which the dimension of target space is doubled and the sigma model supplemented with constraints. These are calculated by demanding the vanishing of the beta-functional of the sigma model couplings in the doubled target space. We demonstrate the equivalence with the background field equations of...

We consider two-dimensional geometries flowing away from an asymptotically AdS$_2$ spacetime. Macroscopically, flow and their thermodynamic properties are studied the perspective of dilaton-gravity models. present a precise map constructing fixed background metric boundary two-point function nearly massless matter field. analyse constraints on geometries, viewed as solutions dimensionally reduc...

We introduce the weighted orthogonal Ricci curvature – a two-parameter version of Ni–Zheng's curvature. This serves as very natural object in study relationship between curvature(s) and holomorphic sectional In particular, determining optimal constraints for compact Kähler manifold to be projective. this direction, we prove number vanishing theorems using both Hermitian category.

Abstract In this paper, the class of differentiable semi-infinite multiobjective programming problems with vanishing constraints is considered. Both Karush–Kuhn–Tucker necessary optimality conditions and, under appropriate invexity hypotheses, sufficient are proved for such nonconvex smooth vector optimization problems. Further, duals in sense Mond–Weir defined considered and several duality re...

background: congenital adrenal hyperplasia (cah) and vanishing testes are uncommon diseases that can result from hormonal and mechanical factors. classic cah is determined by ambiguous genitalia and increase in amount of 17-hydroxyprogesterone. simultaneous occurrence of cah and vanishing testes is a rare condition. case: a 22-year-old boy, known case of cah who was diagnosed as female pseudohe...

We continue the study of the one-dimensional E10 coset model (massless spinning particle motion on E10/K(E10)) whose dynamics at low levels is known to coincide with the equations of motion of maximal supergravity theories in appropriate truncations. We show that the coset dynamics (truncated at levels l ≤ 3) can be consistently restricted by requiring the vanishing of a set of constraints whic...

Drawings of curved objects often contain many linear features: straight lines, colinear or coplanar points, parallel lines and vanishing points. These linear features give rise to linear constraints on the 3D position of scene points. The resulting problem can be solved by standard linear programming techniques. An important characteristic of this approach is that instead of making a strong ass...

We describe the geometry, constraints and algorithmic implementation for metric rectification of planes. The rectification allows metric properties, such as angles and length ratios, to be measured on the world plane from a perspective image. The novel contributions are: first, that in a stratified context the various forms of providing metric information, which include a known angle, two equal...

We consider the problem of matching perspective views of coplanar structures composed of line segments. Both model-to-image and image-to-image correspondence matching are given a consistent treatment. These matching scenarios generally require discovery of an eight parameter projective mapping. However, when the horizon line of the object plane can be found in the image, done here using vanishi...