In response to increasing violent crime rates in several U.S. cities over the past year, some have pointed the finger of blame at de-policing, a result of the so-called "Ferguson Effect." Although the Ferguson Effect on crime rates remains an open question, there may also be a Ferguson Effect on other aspects of police officers' jobs, such as willingness to partner with community members. This ...

In this paper we present a new kind of B-splines, called hyperbolic B-splines generated over the space spanned by hyperbolic functions and we use it to interpolate an arbitrary function on a set of points. Numerical tests for illustrating hyperbolic B-spline are presented.

We investigate C1-smooth univariate curvature-based cubic L1 interpolating splines in Cartesian and polar coordinates. The coefficients of these splines are calculated by minimizing the L1 norm of curvature. We compare these curvature-based cubic L1 splines with second-derivative-based cubic L1 splines and with cubic L2 splines based on the L2 norm of curvature and of the second derivative. In ...

Polynomial splines over hierarchical T-meshes (PHT-splines) have an efficient and simple local refinement algorithm, but fail to represent exactly certain complex engineering geometries. In this paper, based on the current isogeometric framework, we overcome the drawbacks of PHT-splines by extending these to Rational PHT-splines (RPHT-splines), and explore RPHT-splines as the basis for analysis...

In this paper, we introduce a new type of splines—polynomial splines over hierarchical T-meshes (called PHT-splines) to model geometric objects. PHT-splines are a generalization of B-splines over hierarchical T-meshes. We present the detailed construction process of spline basis functions over T-meshes which have the same important properties as B-splines do, such as nonnegativity, local suppor...

41. 42. Leonard, K. & Weiss, H. (1987) J. Mol. Biol. 194, 277-286 Page, M. D., Carr. G., Hell. I,. C. & Ferguson, S. J. (1989) Biochem. SOC. Trans. 17,991-993 Parsonage, D., Greenfield, A. J. & Ferguson, S. J. (1986) Arch. Microbiol. 145, 191-196 Carr, G. J.? Page, M. D. & Ferguson. S. J. (1989) Eur. J. Biochem. 179,683-692 Alefounder, P. K., McCarthy, J. E. G. & Ferguson, S. J. (1981) FEMS Mic...

in this paper, we propose to extend the hierarchical bivariatehermite interpolant to the spherical case. let $t$ be an arbitraryspherical triangle of the unit sphere $s$ and  let $u$ be a functiondefined over the triangle $t$. for $kin mathbb{n}$, we consider ahermite spherical interpolant problem $h_k$ defined by some datascheme $mathcal{d}_k(u)$ and which admits a unique solution $p_k$in the ...