We describe an active-set, dual-feasible Schur-complement method for quadratic programming (QP) with positive definite Hessians. The formulation of the QP being solved is general and flexible, and is appropriate for many different application areas. Moreover, the specialized structure of the QP is abstracted away behind a fixed KKT matrix called Ko and other problem matrices, which naturally le...

Safety-critical control is a type of modern task where potentially conflicting stability, safety, and input constraints coexist. In this paper, the Prescribed-Time Zeroing Control Barrier Function (PT-ZCBF) introduced, which can be applied as prescribed-time stability constraint in safety-critical tasks. Furthermore, we formulate PT-ZCBF-based Quadratic Program (QP), able to mediate control. Th...

Background—The management of neonates with complex congenital anomalies depends on careful interpretation of arterial blood gas values. Improved interpretation of these oxygen parameters may allow clinicians to avoid unexpected cardiovascular events. This study examined whether systemic oxygen delivery (DO2) can be maximized by the use of indices derived from oxygen saturation measurements in n...

Abstract High school students’ difficulties with quantum physics (QP) are partly due to their limited understanding of the nature science (NOS). The essence QP can only be understood informed views about NOS aspects such as role models and relevance controversies between physicists. Inversely, is an ideal topic for teaching NOS. However, secondary textbooks seldom support teachers explicitly ad...

The quadratic-phase Fourier transform (QPFT) has gained much popularity in recent years because of its applications image and signal processing. However, the QPFT is inadequate for localizing spectrum, which required some applications. In this paper, wave packet (QP-WPT) proposed to address problem, based on (WPT) QPFT. Firstly, we propose definition QP-WPT give relation with windowed (WFT). Se...

We study first-order properties of the quotient rings 9(V)/1 by a prime ideal 9, where 9( V) is the ring of p-adic valued continuous definable functions on some affine p-adic variety V. We show that they are integrally closed Henselian local rings, with a p-adically closed residue field and field of fractions, and they are not valuation rings in general but always satisfy Vx, y(x Iy2 V y IX2). ...

BACKGROUND The management of neonates with complex congenital anomalies depends on careful interpretation of arterial blood gas values. Improved interpretation of these oxygen parameters may allow clinicians to avoid unexpected cardiovascular events. This study examined whether systemic oxygen delivery (DO2) can be maximized by the use of indices derived from oxygen saturation measurements in n...

Let K be a finite extension of Qp, let L/K be a finite abelian Galois extension of odd degree and let OL be the valuation ring of L. We define AL/K to be the unique fractional OL-ideal with square equal to the inverse different of L/K. For p an odd prime and L/Qp contained in certain cyclotomic extensions, Erez has described integral normal bases for AL/Qp that are self-dual with respect to the...

We introduce a very weak language Lp on Qp, which is just rich enough to have the same definable subsets of the line Qp than one has using the ring language. We prove that the only definable functions in the language Lp are trivial functions. We further give a definitional expansion Lp of Lp in which Qp has quantifier elimination and we obtain a weak cell decomposition. Our language Lp can serv...

Parametric Active Set Methods (PASM) are a relatively new class of methods to solve convex Quadratic Programming (QP) problems. They are based on tracing the solution along a linear homotopy between a QP with known solution and the QP to be solved. We explicitly identify numerical challenges in PASM and develop strategies to meet these challenges. To demonstrate the reliability improvements of ...