Powell-Sabin splines are C-continuous quadratic splines defined on an arbitrary triangulation. Their construction is based on a particular split of each triangle in the triangulation into six smaller triangles. In this article we give an overview of the properties of Powell-Sabin splines in the context of computer aided geometric design. These splines can be represented in a compact normalized ...

In this work we explicit a derivative-free trust-region algorithm for unconstrained optimization based on the paper (Computational Optimization and Applications 53: 527–555, 2012) proposed by Powell. The objective function is approximated by quadratic models obtained by polynomial interpolation. The number of points of the interpolation set is fixed. In each iteration only one interpolation poi...

This document gives an overview of the Next Steps in Signaling (NSIS) framework and protocol suite created by the NSIS Working Group during the period of 2001-2010. It also includes suggestions on how the industry can make use of the new protocols and how the community can exploit the extensibility of both the framework and existing protocols to address future signaling needs.

In this paper, we analyze the thermal radiation and chemical reaction impacts on MHD peristaltic motion of the Eyring-Powell fluid through a porous medium in a channel with compliant walls under slip conditions for velocity, temperature, and concentration. Assumptions of a long wave length and low Reynolds number are considered. The modeled equations are computed by using the perturbation metho...

In optimization, one of the main challenges widely used family Quasi-Newton methods is to find an estimate Hessian matrix as close possible real matrix. this paper, we develop a new update formula for starting from Powell-Symetric-Broyden (PSB) and adding pieces information previous steps optimization path. This lead multisecant version PSB, which call generalised PSB (gPSB), but does not exist...

This document gives an overview of the Next Steps in Signaling (NSIS) framework and protocol suite created by the NSIS Working Group during the period of 2001-2010. It also includes suggestions on how the industry can make use of the new protocols and how the community can exploit the extensibility of both the framework and existing protocols to address future signaling needs.

This threats document provides a detailed analysis of the security threats relevant to the Next Steps in Signaling (NSIS) protocol suite. It calls attention to, and helps with the understanding of, various security considerations in the NSIS Requirements, Framework, and Protocol proposals. This document does not describe vulnerabilities of specific parts of the NSIS protocol suite.

962142. 43 In this more recent work, McGinnis and Rappaport cite Powell to instruct us on the interpretive conventions of the founding generation. Id. at 8 (citing Powell, supra note 39). And Powell at least provides McGinnis and Rappaport some useful support when he announces: "Although the Philadelphia framers did not discuss in detail how they intended their end product to be interpreted, th...

3. K. Ichihara. E. Kusunose and M. Kusunose, Biochim. 7. J. L. Maggs. A. H. Olavesen and C. T. James. J. biophps. Acta 176. 704 (1969). labelled Compds Radiopharmaceuticals 17. 793 (1980). 4. K. K. Stanley and P. K. Tubbs. Biochem. J. 150, 77 8. C. G. Curtis. G. M. Powell and S. L. Stone, J. Physiol., (1975). Land. 213, 14P (1970). 5. W. H. B. Denner. A. H. Olavesen. G. M. Powell and 9. B. Burk...

Martin Powell suggests that the death of the English National Health Service (NHS) has been announced so many times we are at risk of not noticing should it actually happen. He is right. If we ‘cry wolf’ too many times, we risk losing sight of what is important about the NHS and why.