Physical Sciences and Mathematics Commons^™

Learning Parametric Dictionaries For Signals On Graphs, D. Thanou, David Shuman, P. Frossard

David I Shuman

No abstract provided.

Polynomials That Have Golden Ratio Zeros, Tian-Xiao He, Jack Maier, Kurt Vanness

Tian-Xiao He

When the golden ratio and its conjugate are zeros to a polynomial, two of the coefficients are functions of the Fibonacci sequence in terms of the other coefficients, which characterize the polynomial completely. These functions are used to derive some Fn, Ln, and golden ratio identities. In many cases, this is generalized to the Lucas sequences Un and Vn, with an associated quadratic root pair. Horadam sequences are produced in the series of linear and constant coefficients of the series of polynomials Having ra and rb zeros when all of the other coefficients are equal.

On An Extension Of Riordan Array And Its Application In The Construction Of Convolution-Type And Abel-Type Identities, Tian-Xiao He, Leetsch Hsu, Xing Ron Ma

Tian-Xiao He

Using the basic fact that any formal power series over the real or complex number field can always be expressed in terms of given polynomials {pn(t)}{pn(t)}, where pn(t)pn(t) is of degree nn, we extend the ordinary Riordan array (resp. Riordan group) to a generalized Riordan array (resp. generalized Riordan group) associated with {pn(t)}{pn(t)}. As new application of the latter, a rather general Vandermonde-type convolution formula and certain of its particular forms are presented. The construction of the Abel type identities using the generalized Riordan arrays is also discussed.

Optimised Random Mutations For Evolutionary Algorithms, Sean Mcgerty, Frank Moisiadis

Frank Moisiadis

Constructing Carmichael Numbers Through Improved Subset-Product Algorithms, W.R. Alford, Jon Grantham, Steven Hayman, Andrew Shallue

Andrew Shallue

We have constructed a Carmichael number with 10,333,229,505 prime factors, and have also constructed Carmichael numbers with  prime factors for every  between 3 and 19,565,220. These computations are the product of implementations of two new algorithms for the subset product problem that exploit the non-uniform distribution of primes with the property that  divides a highly composite .

Unpublished Writings From Audio Magazine: Proposed Series Chapter 3, Richard C. Heyser, Douglas R. Jones Ed.

Douglas R Jones

This is the third in a series of seven articles written by Richard C. Heyser in 1983. Heyser originally intended to publish this work in AUDIO magazine. This updated version has been edited and annotated by Douglas R. Jones.

Observing, Reporting, And Deciding In Networks Of Sentences, H. Jerome Keisler, Jeffrey M. Keisler

Jeffrey Keisler

In prior work we considered networks of agents who prove facts from their knowledge bases and report them to their neighbors in their common languages in order to help a decider verify a single sentence. In report complete networks, the signatures of the agents and the links between agents are rich enough to verify any decider's sentence that can be proved from the combined knowledge base. This paper introduces a more general setting where new observations may be added to knowledge bases and the decider must choose a sentence from a set of alternatives. We consider the question of when …

Unpublished Writings From Audio Magazine: Proposed Series Chapter 1 And 2, Richard C. Heyser, Douglas R. Jones Ed.

Douglas R Jones

These are the first two in a series of seven articles written by Richard C. Heyser in 1983. Heyser originally intended to publish this work in AUDIO magazine. This updated version has been edited and annotated by Douglas R. Jones.

A Regression Model To Investigate The Performance Of Black-Scholes Using Macroeconomic Predictors, Timothy A. Smith, Ersoy Subasi, Aliraza M. Rattansi

Timothy Smith

Fundamental Domain Of Invariant Sets And Applications, Pengfei Zhang

Pengfei Zhang

No abstract provided.

Unpublished Writings From Audio Magazine: Proposed Series Chapter 4, Richard C. Heyser, Douglas R. Jones Ed.

Douglas R Jones

This is the fourth in a series of seven articles written by Richard C. Heyser in 1983. Heyser originally intended to publish this work in AUDIO magazine. This updated version has been edited and annotated by Douglas R. Jones.

Unpublished Writings From Audio Magazine: Proposed Series Chapter 5, Richard C. Heyser, Douglas R. Jones Ed.

Douglas R Jones

This is the fifth in a series of seven articles written by Richard C. Heyser in 1983. Heyser originally intended to publish this work in AUDIO magazine. This updated version has been edited and annotated by Douglas R. Jones.

Outer Median Triangles, Árpád Bényi, Branko Ćurgus

Branko Ćurgus

We define the notions of outer medians and outer median triangles. We show that outer median triangles enjoy similar properties to that of the median triangle.

Hyperbolic Expressions Of Polynomial Sequences And Parametric Number Sequences Defined By Linear Recurrence Relations Of Order 2, Tian-Xiao He, Peter J.-S. Shiue, Tsui-Wei Weng

Tian-Xiao He

Syllabus_Lecture_Notes_Collective_Phenomena_In_Laser_Plasmas_Ii_Phy998_Spring_2014, Serge Y. Kalmykov

Serge Youri Kalmykov

High-power laser radiation beams interacting with a rarefied, fully ionized plasmas are essentially unstable. This fact is mainly due to the excitation of various modes of plasma oscillations, most important of which are electron Langmuir waves and ion acoustic waves. The stimulated scattering processes destroy and deplete the pulse in the as it propagates. On the other hand, at the moderate level of instability, spectral properties of the scattered light may serve as optical diagnostics of the pulse propagation dynamics. Knowing the dynamics of the stimulated scattering processes is thus essential for such applications as inertial confinement fusion and laser-plasma …

The Sen Limit, Adrian Clingher, Ron Donagi, Martijn Wijnholt

Adrian Clingher