Our paper is devoted to two classical problems of category theory: the Orthogonal Subcategory Problem which asks, given a class H of morphisms, whether the subcategory H⊥ of all objects orthogonal to every member of H is reflective. And the Small Object Argument which asks whether the subcategory InjH of all objects injective to every member of H is weakly reflective and, moreover, the weak ref...

Abstract In this paper, we study some bounds for nonconvex quadratically constrained quadratic programs (QCQPs). We propose two types of QCQPs, and cubic bounds. use affine functions as Lagrange multipliers demonstrate that most semidefinite relaxations can be obtained the dual a bound. addition, by changing ground set. For bounds, in addition to employ functions. provide comparison between pro...

We demonstrate under appropriate finiteness conditions that a coarse embedding induces an inequality of homological Dehn functions. Applications the main results include characterization what finitely presentable groups may admit into hyperbolic group geometric dimension 2, characterizations subgroups with quadratic function and to embeddings nilpotent other same growth groups.

1. If the geodesic flow of a metric G on the torus T 2 is quadratically integrable then the torus T 2 isometrically covers a torus with a Liouville metric on it. 2. The set of quadratically integrable geodesic flows on the Klein bottle is described. §

An algorithm is given which computes the transformation that transforms the initial system to final normalized system to a given order, while reducing the order to which intermediate results need to be computed. The algorithm will convergence quadratically when one is only interested in obtaining the classical normal form and somewhere in between linearly and quadratically in the general case.

A well-known conjecture asserts that smooth threefolds X ⊂ P5 are quadratically normal with the only exception of the Palatini scroll. As a corollary of a more general statement we obtain the following result, which is related to the previous conjecture: If X ⊂ P5 is not quadratically normal, then its triple curve is reducible.

A globally and quadratically convergent primal–dual augmented Lagrangian algorithm for equality constrained optimization Paul Armand & Riadh Omheni To cite this article: Paul Armand & Riadh Omheni (2015): A globally and quadratically convergent primal–dual augmented Lagrangian algorithm for equality constrained optimization, Optimization Methods and Software, DOI: 10.1080/10556788.2015.1025401 ...

Four Luxi beef cattle (400±10 kg) fitted with ruminal, duodenal and ileal cannulas were used in a 4×4 Latin square to assess the effects of soybean small peptide (SSP) infusion on rumen fermentation, diet digestion and flow of nutrient in the gastrointestinal tract. The ruminal infusion of SSP was 0 (control), 100, 200 and 300 g/d. Ruminal SSP infusion linearly (p<0.01) and quadratically (p<0.0...