Chi-Square Lower Bounds, 2010 University of Pennsylvania

#### Chi-Square Lower Bounds, Mark G. Low

*Statistics Papers*

The information inequality has been shown to be an effective tool for providing lower bounds for the minimax risk. Bounds based on the chi-square distance can sometimes offer a considerable improvement especially when applied iteratively. This paper compares these two methods in four examples including the bounded normal mean problem as well as obervations from a Poisson distribution.

Nonparametric Regression In Natural Exponential Families, 2010 University of Pennsylvania

#### Nonparametric Regression In Natural Exponential Families, T. Tony Cai, Harrison H. Zhou

*Statistics Papers*

Theory and methodology for nonparametric regression have been particularly well developed in the case of additive homoscedastic Gaussian noise. Inspired by asymptotic equivalence theory, there have been ongoing efforts in recent years to construct explicit procedures that turn other function estimation problems into a standard nonparametric regression with Gaussian noise. Then in principle any good Gaussian nonparametric regression method can be used to solve those more complicated nonparametric models. In particular, Brown, Cai and Zhou [3] considered nonparametric regression in natural exponential families with a quadratic variance function.

In this paper we extend the scope of Brown, Cai and Zhou ...

The Evolution And Discovery Of The Species Of Equality In Euclid’S Elements, 2010 The University of Tennessee College of Law

#### The Evolution And Discovery Of The Species Of Equality In Euclid’S Elements, Lee T. Nutini

*Lee T Nutini*

A look at the evidence for an additional and novel type of equality found in Euclid's Elements.

Sketch Of A Typology Of Abstract Memristic Machines, 2010 ThinkArt Lab Glasgow

#### Sketch Of A Typology Of Abstract Memristic Machines, Rudolf Kaehr

*Rudolf Kaehr*

A typology of memristic machines is sketched. This sketch gives an overview and orientation to the paper “Towards Abstract Memristic Machines”. It also intents to propose a concise systematization of the newly introduced terms and strategies to memristics and morphogrammatics. This sketch is introducing four types of sign-use for four types of machines of fundamentally different paradigms: 1. semiotic, 2. monomorphic, 3. polymorphic and 4. bisimilar abstract machines. Further definitions of abstract machines have to be based on those graphematic notational systems. A realization of such constructions of abstract machines, in contrast to existing abstract machines of the theory of ...

Towards Abstract Memristic Machines, 2010 ThinkArt Lab Glasgow

From Universe To Polyverses, 2010 ThinkArt Lab Glasgow

#### From Universe To Polyverses, Rudolf Kaehr

*Rudolf Kaehr*

Some thoughts about the power of speculation behind important discoveries in mathematics, physics and computer science. The exercise shows that there is no need for a compulsory ultimate unifying universe. It is speculated that just this paradigm of a single ultimate universe is unmasking itself today as the main obstacle for further development in Western science and technology.

Morphogrammatics For Dummies: The Domino Approach, 2010 ThinkArt Lab Glasgow

#### Morphogrammatics For Dummies: The Domino Approach, Rudolf Kaehr

*Rudolf Kaehr*

Dominoes, morphograms, cellular automata, memristics. Topics: possible continuation, coalitions, cooperations, substitution, morphic bisimilarity.

Local Fractional Fourier’S Transform Based On The Local Fractional Calculus, 2010 Zongxin Kang, Changhe Liu

#### Local Fractional Fourier’S Transform Based On The Local Fractional Calculus, Yang Xiao-Jun

*Xiao-Jun Yang*

A new modeling for the local fractional Fourier’s transform containing the local fractional calculus is investigated in fractional space. The properties of the local fractional Fourier’s transform are obtained and two examples for the local fractional systems are investigated in detail.

Exact Three-Wave Solutions For High Nonlinear Form Of Benjamin-Bona-Mahony-Burgers Equations, 2010 University of Kermanshah, Razi

#### Exact Three-Wave Solutions For High Nonlinear Form Of Benjamin-Bona-Mahony-Burgers Equations, Mohammad Taghi Darvishi, Mohammad Najafi M.Najafi, Maliheh Najafi

*mohammad najafi*

By means of the idea of three-wave method, we obtain some analytic solutions for high nonlinear form of Benjamin-Bona-Mahony-Burgers (shortly BBMB) equations in its bilinear form.

On Stern's Diatomic Sequence 0,1,1,2,1,3,2,3,1,3,4,..., 2010 SUNY-Plattsburgh

#### On Stern's Diatomic Sequence 0,1,1,2,1,3,2,3,1,3,4,..., Sam Northshield

*Sam Northshield*

Stern’s diatomic sequence is a simply defined sequence with an amazing set of properties. Our goal is to present many of these properties—those that have most impressed the author.

Grafika Inżynierska Ćw., 2010 Wroclaw University of Technology

#### Grafika Inżynierska Ćw., Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Projektowanie Procesów Biotechnologicznych Proj., 2010 Wroclaw University of Technology

#### Projektowanie Procesów Biotechnologicznych Proj., Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Projektowanie I Optymalizacja Procesów Proj., 2010 Wroclaw University of Technology

#### Projektowanie I Optymalizacja Procesów Proj., Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Metody Numeryczne Lab., 2010 Consulting Services

#### Metody Numeryczne Lab., Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Odnawialne Źródła Energii W., 2010 Wroclaw University of Technology

#### Odnawialne Źródła Energii W., Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Strichartz Estimates On Schwarzschild Black Hole Backgrounds, 2010 Columbia University

#### Strichartz Estimates On Schwarzschild Black Hole Backgrounds, Jeremy Marzoula, Jason Metcalfe, Daniel Tataru, Mihai H. Tohaneanu

*Mihai H. Tohaneanu*

We study dispersive properties for the wave equation in the Schwarzschild space-time. The first result we obtain is a local energy estimate. This is then used, following the spirit of [29], to establish global-in-time Strichartz estimates. A considerable part of the paper is devoted to a precise analysis of solutions near the trapping region, namely the photon sphere.

Parametric Bootstrap And Approximate Tests For Two Poisson Variates, 2010 Hong Kong Baptist University

#### Parametric Bootstrap And Approximate Tests For Two Poisson Variates, Sung Nok Chiu

*Department of Mathematics Journal Articles*

The parametric bootstrap tests and the asymptotic or approximate tests for detecting difference of two Poisson means are compared. The test statistics used are the Wald statistics with and without log-transformation, the Cox F statistic and the likelihood ratio statistic. It is found that the type I error rate of an asymptotic/approximate test may deviate too much from the nominal significance level α under some situations. It is recommended that we should use the parametric bootstrap tests, under which the four test statistics are similarly powerful and their type I error rates are all close to α. We apply ...

Moving-Boundary Problems Solved By Adaptive Radial Basis Functions, 2010 Hong Kong Baptist University

#### Moving-Boundary Problems Solved By Adaptive Radial Basis Functions, L. Vrankar, E. J. Kansa, L. Ling, F. Runovc, G. Turk

*Department of Mathematics Journal Articles*

The objective of this paper is to present an alternative approach to the conventional level set methods for solving two-dimensional moving-boundary problems known as the passive transport. Moving boundaries are associated with time-dependent problems and the position of the boundaries need to be determined as a function of time and space. The level set method has become an attractive design tool for tracking, modeling and simulating the motion of free boundaries in fluid mechanics, combustion, computer animation and image processing. Recent research on the numerical method has focused on the idea of using a meshless methodology for the numerical solution ...

Numerical Simulations Of Two-Dimensional Fractional Subdiffusion Problems, 2010 Hong Kong Baptist University

#### Numerical Simulations Of Two-Dimensional Fractional Subdiffusion Problems, Hermann Brunner, L. Ling, Masahiro Yamamoto

*Department of Mathematics Journal Articles*

The growing number of applications of fractional derivatives in various fields of science and engineering indicates that there is a significant demand for better mathematical algorithms for models with real objects and processes. Currently, most algorithms are designed for 1D problems due to the memory effect in fractional derivatives. In this work, the 2D fractional subdiffusion problems are solved by an algorithm that couples an adaptive time stepping and adaptive spatial basis selection approach. The proposed algorithm is also used to simulate a subdiffusion-convection equation

Conformal Classification Of (K, Μ)-Contact Manifolds, 2010 University of New Haven

#### Conformal Classification Of (K, Μ)-Contact Manifolds, Ramesh Sharma, Luc Vrancken

*Mathematics Faculty Publications*

First we improve a result of Tanno that says "If a conformal vector field on a contact metric manifold M is a strictly infinitesimal contact transformation, then it is an infinitesimal automorphism of M" by waiving the "strictness" in the hypothesis. Next, we prove that a (k, μ)-contact manifold admitting a non-Killing conformal vector field is either Sasakian or has k = –n – 1, μ = 1 in dimension > 3; and Sasakian or flat in dimension 3. In particular, we show that (i) among all compact simply connected (k, μ)-contact manifolds of dimension > 3, only the unit sphere S2n+1 ...