This paper describes a new instance library for Quadratic Programming (QP), i.e., the family of continuous and (mixed)-integer optimization problems where the objective function, the constrains, or both are quadratic. QP is a very “varied” class of problems, comprising sub-classes of problems ranging from trivial to undecidable. Solution methods for QP are very diverse, ranging from entirely co...

A nonrigid rotor model is developed from the two-parameter quantum algebra U qp (u 2). [This model presents the U qp (u 2) symmetry and shall be referred to as the qp-rotor model.] A ro-tational energy formula as well as a qp-deformation of E2 reduced transition probabilities are derived. The qp-rotor model is applied (through fitting procedures) to twenty rotational bands of superdeformed nucl...

This paper describes solvers for specific quadratic programming (QP) tasks. The QP tasks in question appear in numerous problems, e.g., classifier learning and probability density estimation. The QP task becomes challenging when large number of variables is to be optimized. This the case common in practice. We propose QP solvers which are simple to implement and still able to cope with problems...

In this article we show that the quotient M∞/B(Qp) of the Lubin–Tate space at infinite level M∞ by the Borel subgroup of upper triangular matrices B(Qp) ⊂ GL2(Qp) exists as a perfectoid space. As an application we show that Scholze’s functor H i ét(PCp ,Fπ ) is concentrated in degree one whenever π is an irreducible principal series representation or a twist of the Steinberg representation of G...

We present an algorithm that returns a proper factor of a polynomial Φ(x) over the p-adic integers Zp (if Φ(x) is reducible over Qp) or returns a power basis of the ring of integers of Qp[x]/Φ(x)Qp[x] (if Φ(x) is irreducible over Qp). Our algorithm is based on the Round Four maximal order algorithm. Experimental results show that the new algorithm is considerably faster than the Round Four algo...

The present trial examined the possibility that diazepam (DZP, 1 mg/kg) induces hyperphagia by acting on the dopaminergic system. Quinpirole (QP), dopamine D-2 receptor agonist, was used for this purpose. Mice fasted for 24 hr were treated with QP 1 (QP-1) or 2 (QP-2) mg/kg 30 min prior to termination of the starvation. DZP was given to untreated mice and half of the QP-1 and QP-2 treated mice ...