Governing the financial or bank holding company: how legal infrastructure can facilitate consolidated risk management

On October 25, 2002, Thomas C. Baxter, Jr., General Counsel and Executive Vice President of the Federal Reserve Bank of New York, presented the following remarks at the Puerto Rico Bankers Association conference "Financial Transparency and Corporate Governance of Financial Institutions after the Sarbanes-Oxley Act of 2002" in San Juan, Puerto Rico.Corporate governance ; Financial institutions - Law and legislation ; Risk management ; Bank holding companies

The Perceived Confidence Level of 5th and 6th Grade Teachers in Sevier County, Tennessee Using Technology in the Classroom

Throughout history many devices, inventions and gadgets have been advocated as items that would revolutionize the way people live, work and play. As we begin the new millennium, the sheer number of these items being considered or developed has skyrocketed. For the most part people can look around anywhere they happen to be and point to the successes while the failures are soon forgotten. This is especially true in education. Items such as televisions, calculators, overhead projectors, etc. have truly revolutionized education through their wide use in the classroom. Some of the items on the list of inventions may appear outlandishly silly or common place in the 21st century; however, they are all a part of the recipe that makes-up the educational system of today. Educational systems across the country have been burdened, in the last three decades, with the evolution of the expanding role school systems are responsible for in order to educate the nation\u27s children. Enormous amounts of resources have been allocated to address areas such as school safety, illegal drugs, nutrition, teen pregnancy, student achievement, etc. The nation is now struggling with the issues that surround the rapid explosion of technology. The technology revolution has profound and far-reaching implications for all aspects of our culture. The technology revolution has the potential to rival the industrial revolution in the magnitude of impact on people\u27s daily live

On kernel engineering via Paley–Wiener

A radial basis function approximation takes the form $$s(x)=\sum_{k=1}^na_k\phi(x-b_k),\quad x\in {\mathbb{R}}^d,$$ where the coefficients a 1,…,a n are real numbers, the centres b 1,…,b n are distinct points in ℝ d , and the function φ:ℝ d →ℝ is radially symmetric. Such functions are highly useful in practice and enjoy many beautiful theoretical properties. In particular, much work has been devoted to the polyharmonic radial basis functions, for which φ is the fundamental solution of some iterate of the Laplacian. In this note, we consider the construction of a rotation-invariant signed (Borel) measure μ for which the convolution ψ=μ φ is a function of compact support, and when φ is polyharmonic. The novelty of this construction is its use of the Paley–Wiener theorem to identify compact support via analysis of the Fourier transform of the new kernel ψ, so providing a new form of kernel engineering

A review of the genus Agapetus Curtis (Trichoptera: Glossosomatidae) in eastern and central North America, with description of 12 new species

Twenty-nine species of caddisflies in the genus Agapetus Curtis in eastern and central North America are reviewed. Twelve are described as new species: Agapetus aphallus (known only from females); Agapetus baueri, Agapetus flinti, Agapetus harrisi, Agapetus hesperus, Agapetus ibis, Agapetus kirchneri, Agapetus meridionalis, Agapetus pegram, Agapetus ruiteri, Agapetus stylifer, and Agapetus tricornutus. Agapetus rossi Denning 1941 is recognized as a junior subjective synonym of Agapetus walkeri (Betten and Mosely 1940), new synonym. A key to males is provided, and species’ distributions are mapped

On spherical averages of radial basis functions

A radial basis function (RBF) has the general form $$s(x)=\sum_{k=1}^{n}a_{k}\phi(x-b_{k}),\quad x\in\mathbb{R}^{d},$$ where the coefficients a 1,…,a n are real numbers, the points, or centres, b 1,…,b n lie in ℝ d , and φ:ℝ d →ℝ is a radially symmetric function. Such approximants are highly useful and enjoy rich theoretical properties; see, for instance (Buhmann, Radial Basis Functions: Theory and Implementations, [2003]; Fasshauer, Meshfree Approximation Methods with Matlab, [2007]; Light and Cheney, A Course in Approximation Theory, [2000]; or Wendland, Scattered Data Approximation, [2004]). The important special case of polyharmonic splines results when φ is the fundamental solution of the iterated Laplacian operator, and this class includes the Euclidean norm φ(x)=‖x‖ when d is an odd positive integer, the thin plate spline φ(x)=‖x‖2log  ‖x‖ when d is an even positive integer, and univariate splines. Now B-splines generate a compactly supported basis for univariate spline spaces, but an analyticity argument implies that a nontrivial polyharmonic spline generated by (1.1) cannot be compactly supported when d>1. However, a pioneering paper of Jackson (Constr. Approx. 4:243–264, [1988]) established that the spherical average of a radial basis function generated by the Euclidean norm can be compactly supported when the centres and coefficients satisfy certain moment conditions; Jackson then used this compactly supported spherical average to construct approximate identities, with which he was then able to derive some of the earliest uniform convergence results for a class of radial basis functions. Our work extends this earlier analysis, but our technique is entirely novel, and applies to all polyharmonic splines. Furthermore, we observe that the technique provides yet another way to generate compactly supported, radially symmetric, positive definite functions. Specifically, we find that the spherical averaging operator commutes with the Fourier transform operator, and we are then able to identify Fourier transforms of compactly supported functions using the Paley–Wiener theorem. Furthermore, the use of Haar measure on compact Lie groups would not have occurred without frequent exposure to Iserles’s study of geometric integration

Thomas Baxter Handwritten Notes -- Sept. 14 - Sept.17, 2008

Handwritten notes from Thomas Baxter regarding AIG. Notes dated from September 14th, 2008 to September 17th, 200