No Radial Excitations In Low Energy Qcd. I. Diquarks And Classification Of Mesons,
2013
Massachusetts Institute of Technology
No Radial Excitations In Low Energy Qcd. I. Diquarks And Classification Of Mesons, Tamar Friedmann
Mathematics Sciences: Faculty Publications
We propose a new schematic model for mesons in which the building blocks are quarks and flavor-antisymmetric diquarks. The outcome is a new classification of the entire meson spectrum into quark–antiquark and diquark– antidiquark states which does not give rise to a radial quantum number: all mesons which have so far been believed to be radially excited are orbitally excited diquark–antidiquark states; similarly, there are no radially excited baryons. Further, mesons that were previously viewed as “exotic” are no longer exotic as they are now naturally integrated into the classification as diquark–antidiquark states. The classification also leads to the introduction …
How To Create A Jordan Algebra,
2013
Utah State University
How To Create A Jordan Algebra, Ian M. Anderson, Thomas J. Apedaile
How to... in 10 minutes or less
We show how to create a Jordan algebra in Maple using the commands AlgebraLibraryData and AlgebraData.
How To Create The Quaternion & Octonion Algebras,
2013
Utah State University
How To Create The Quaternion & Octonion Algebras, Ian M. Anderson, Thomas J. Apedaile
How to... in 10 minutes or less
We show how to create the quaternion and octonion algebras with the DifferentialGeometry software. For each algebra, there is a split-form also available.
The Ideal Free Strategy With Weak Allee Effect,
2013
Cleveland State University
The Ideal Free Strategy With Weak Allee Effect, Daniel Munther
Mathematics and Statistics Faculty Publications
This paper examines the interplay between optimal movement strategies and the weak Allee effect within the context of two competing species in a spatially heterogenous environment. When both species have the same populations dynamics, previous studies identified an ‘ideal free’ strategy which is able to exclude any other competitor playing a ‘non-ideal free’ strategy. We find that if the ideal free disperser is subject to a weak Allee effect, a competing species utilizing very weak or very strong advection will still be excluded despite having superior population dynamics. However, for intermediate advection rates, such a competitor can invade the ideal …
Usefulness Of Cardiac Biomarker Score For Risk Stratification In Stable Patients Undergoing Elective Cardiac Evaluation Across Glycemic Status,
2013
Lerner Research Institute
Usefulness Of Cardiac Biomarker Score For Risk Stratification In Stable Patients Undergoing Elective Cardiac Evaluation Across Glycemic Status, W.H. Wilson Tang, Naveed Iqbal, Yuping Wu, Stanley L. Hazen
Mathematics and Statistics Faculty Publications
Several clinically available cardiac biomarkers have established their prognostic value in patients with acute coronary syndromes. However, their relative prognostic significance in stable subjects has not been prospectively validated, either individually or in combination. The aim of this study was to evaluate the extent to which B-type natriuretic peptide, myeloperoxidase, and high-sensitivity C-reactive protein alone or together could be prognostic biomarkers in 3,635 consecutive stable patients without acute coronary syndrome who underwent elective diagnostic coronary angiography. After adjusting for traditional risk factors and renal function, each of the markers monitored was a significant predictor of incident major adverse cardiovascular events …
New Results For Oscillatory Behavior Of Even-Order Half-Linear Delay Differential Equations,
2013
Missouri University of Science and Technology
New Results For Oscillatory Behavior Of Even-Order Half-Linear Delay Differential Equations, Chenghui Zhang, Ravi P. Agarwal, Martin Bohner, Tongxing Li
Mathematics and Statistics Faculty Research & Creative Works
Some new oscillation results are presented that improve those reported in [C. Zhang, T. Li, B. Sun, and E. Thandapani, On the oscillation of higher-order half-linear delay differential equations, Appl. Math. Lett. 24 (2011) 1618-1621]. © 2012 Elsevier Ltd. All rights reserved.
Use Of Grothendieck Inequality In Interval Computations: Quadratic Terms Are Estimated Accurately Modulo A Constant Factor,
2013
The University of Texas at El Paso
Use Of Grothendieck Inequality In Interval Computations: Quadratic Terms Are Estimated Accurately Modulo A Constant Factor, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
One of the main problems of interval computations is to compute the range of a given function f over given intervals. For a linear function, we can feasibly estimate its range, but for quadratic (and for more complex) functions, the problem of computing the exact range is NP-hard. So, if we limit ourselves to feasible algorithms, we have to compute enclosures instead of the actual ranges. It is known that asymptotically the smallest possible excess width of these enclosures is O(Δ2), where Δ is the largest half-width of the input intervals. This asymptotics is attained for the Mean …
Checking Monotonicity Is Np-Hard Even For Cubic Polynomials,
2013
The University of Texas at El Paso
Checking Monotonicity Is Np-Hard Even For Cubic Polynomials, Andrzej Pownuk, Luc Longpre, Vladik Kreinovich
Departmental Technical Reports (CS)
One of the main problems of interval computations is to compute the range of a given function over given intervals. In general, this problem is computationally intractable (NP-hard) -- that is why we usually compute an enclosure and not the exact range. However, there are cases when it is possible to feasibly compute the exact range; one of these cases is when the function is monotonic with respect to each of its variables. The monotonicity assumption holds when the derivatives at a midpoint are different from 0 and the intervals are sufficiently narrow; because of this, monotonicity-based estimates are often …
Why Complex-Valued Fuzzy? Why Complex Values In General? A Computational Explanation,
2013
The University of Texas at El Paso
Why Complex-Valued Fuzzy? Why Complex Values In General? A Computational Explanation, Olga Kosheleva, Vladik Kreinovich, Thavatchai Ngamsantivong
Departmental Technical Reports (CS)
In the traditional fuzzy logic, as truth values, we take all real numbers from the interval [0,1]. In some situations, this set is not fully adequate for describing expert uncertainty, so a more general set is needed. From the mathematical viewpoint, a natural extension of real numbers is the set of complex numbers. Complex-valued fuzzy sets have indeed been successfully used in applications of fuzzy techniques. This practical success leaves us with a puzzling question: why complex-valued degree of belief, degrees which do not seem to have a direct intuitive meaning, have been so successful? In this paper, we use …
An Exploration Of Metacognition And Its Effect On Mathematical Performance In Differential Equations,
2013
Boise State University
An Exploration Of Metacognition And Its Effect On Mathematical Performance In Differential Equations, Mary Jarratt Smith
Mathematics Faculty Publications and Presentations
Research suggests that students who are “metacognitively aware learners” demonstrate better academic performance (Shraw & Dennison, 1994; Md. Yunus & Ali, 2008). In this research, the metacognitive levels for two classes of differential equations students were studied. Students completed a survey adapted from the Metacognitive Awareness Inventory (MAI) (Shraw & Dennison, 1994) at the start of the course. The questions chosen from the MAI were aimed at three components concerning the students’ knowledge about their cognition: declarative knowledge, procedural knowledge, and conditional knowledge. Analysis shows student performance, as measured by the course grade, cannot be predicted by metacognitive awareness levels.
A High-Order Kernel Method For Diffusion And Reaction-Diffusion Equations On Surfaces,
2013
High Point University
A High-Order Kernel Method For Diffusion And Reaction-Diffusion Equations On Surfaces, Edward J. Fuselier, Grady B. Wright
Mathematics Faculty Publications and Presentations
In this paper we present a high-order kernel method for numerically solving diffusion and reaction-diffusion partial differential equations (PDEs) on smooth, closed surfaces embedded in Rd . For two-dimensional surfaces embedded in R3 , these types of problems have received growing interest in biology, chemistry, and computer graphics to model such things as diffusion of chemicals on biological cells or membranes, pattern formations in biology, nonlinear chemical oscillators in excitable media, and texture mappings. Our kernel method is based on radial basis functions and uses a semi-discrete approach (or the method-of-lines) in which the surface derivative operators that …
Parametric Catalan Numbers And Catalan Triangles,
2013
Illinois Wesleyan University
Parametric Catalan Numbers And Catalan Triangles, Tian-Xiao He
Scholarship
Here presented a generalization of Catalan numbers and Catalan triangles associated with two parameters based on the sequence characterization of Bell-type Riordan arrays. Among the generalized Catalan numbers, a class of large generalized Catalan numbers and a class of small generalized Catalan numbers are defined, which can be considered as an extension of large Schroder numbers and small Schroder numbers, respectively. Using the characterization sequences of Bell-type Riordan arrays, some properties and expressions including the Taylor expansions of generalized Catalan numbers are given. A few combinatorial interpretations of the generalized Catalan numbers are also provided. Finally, a generalized Motzkin numbers …
Generalizing Tanisaki's Ideal Via Ideals Of Truncated Symmetric Functions,
2013
University of Wisconsin - Eau Claire
Generalizing Tanisaki's Ideal Via Ideals Of Truncated Symmetric Functions, Aba Mbirika, Julianna Tymoczko
Mathematics Sciences: Faculty Publications
Abstract. We define a family of ideals Ih in the polynomial ring Z[x1, . . . , xn] that are parametrized by Hessenberg functions h (equivalently Dyck paths or ample partitions). The ideals Ih generalize algebraically a family of ideals called the Tanisaki ideal, which is used in a geometric construction of permutation representations called Springer theory. To define Ih, we use polynomials in a proper subset of the variables {x1, . . . , xn} that are symmetric under the corresponding permutation subgroup. We call these polynomials truncated symmetric functions and …
A Spectral Order For Infinite Dimensional Quantum Spaces,
2013
University of Dayton
A Spectral Order For Infinite Dimensional Quantum Spaces, Joe Mashburn
Mathematics Faculty Publications
In this paper we extend the spectral order of Coecke and Martin to infinite-dimensional quantum states. Many properties present in the finite-dimensional case are preserved, but some of the most important are lost. The order is constructed and its properties analysed. Most of the useful measurements of information content are lost. Shannon entropy is defined on only a part of the model, and that part is not a closed subset of the model. The finite parts of the lattices used by Birkhoff and von Neumann as models for classical and quantum logic appear as subsets of the models for infinite …
Some Minor-Closed Classes Of Signed Graphs,
2013
Wright State University - Main Campus
Some Minor-Closed Classes Of Signed Graphs, Dan Slilaty, Xiangqian Zhou
Mathematics and Statistics Faculty Publications
We define four minor-closed classes of signed graphs in terms of embeddability in the annulus, projective plane, torus, and Klein bottle. We give the full list of 20 excluded minors for the smallest class and make a conjecture about the largest class.
3e: Energy-Efficient Elastic Scheduling For Independent Tasks In Heterogeneous Computing Systems,
2013
National University of Defense Technology
3e: Energy-Efficient Elastic Scheduling For Independent Tasks In Heterogeneous Computing Systems, Xiaomin Zhu, Rong Ge, Jinguang Sun, Chuan He
Mathematics, Statistics and Computer Science Faculty Research and Publications
Reducing energy consumption is a major design constraint for modern heterogeneous computing systems to minimize electricity cost, improve system reliability and protect environment. Conventional energy-efficient scheduling strategies developed on these systems do not sufficiently exploit the system elasticity and adaptability for maximum energy savings, and do not simultaneously take account of user expected finish time. In this paper, we develop a novel scheduling strategy named energy-efficient elastic (3E) scheduling for aperiodic, independent and non-real-time tasks with user expected finish times on DVFS-enabled heterogeneous computing systems. The 3E strategy adjusts processors’ supply voltages and frequencies according to the system workload, and …
The Performance Of Mlem For Dynamic Imaging From Simulated Few-View, Multi-Pinhole Spect,
2013
Case Western Reserve University
The Performance Of Mlem For Dynamic Imaging From Simulated Few-View, Multi-Pinhole Spect, Dan Ma, Paul Arthur Wolf, Anne V. Clough, Taly Gilat Schmidt
Mathematics, Statistics and Computer Science Faculty Research and Publications
Stationary small-animal SPECT systems are being developed for rapid dynamic imaging from limited angular views. This work quantified, through simulations, the performance of Maximum Likelihood Expectation Maximization (MLEM) for reconstructing a time-activity curve (TAC) with uptake duration of a few seconds from a stationary, three-camera multi-pinhole SPECT system. The study also quantified the benefits of a heuristic method of initializing the reconstruction with a prior image reconstructed from a conventional number of views, for example from data acquired during the late-study portion of the dynamic TAC. We refer to MLEM reconstruction initialized by a prior-image initial guess (IG) as MLEM …
Sum Formula Of Multiple Hurwitz-Zeta Values,
2013
Georgia Southern University
Sum Formula Of Multiple Hurwitz-Zeta Values, Jianqiang Zhao
Mathematical Sciences: Faculty Publications
Let s1,⋯,sd be d positive integers and define the multiple t-values of depth d byt(s1,⋯,sd)=∑n1>⋯>nd≥11(2n1−1)s1⋯(2nd−1)sd,which is equal to the multiple Hurwitz-zeta value 2−wζ(s1,⋯,sd;−12,⋯,−12) where w=s1+⋯+sd is called the weight. For d≤n, let T(2n,d) be the sum of all multiple t-values with even arguments whose weight is 2n and whose depth is d. In 2011, Shen and Cai gave formulas for T(2n,d) for d≤5 in terms of t(2n), t(2)t(2n−2) and t(4)t(2n−4). In this short note we generalize their results to arbitrary depth by using the theory of symmetric functions established by Hoffman (2012).
Modeling Cell Proliferation In A Perfusion Tissue Engineering Bioreactor,
2013
New Jersey Institute of Technology
Modeling Cell Proliferation In A Perfusion Tissue Engineering Bioreactor, Jeffrey Vincent Pohlmeyer
Dissertations
In this dissertation we develop a comprehensive model to simulate a tissue engineering experiment. The experiment takes place in a bioreactor in which a cell seeded porous scaffold is placed, and the scaffold experiences a perfused flow of a nutrient-rich culture medium. The goal of the model is to assist experimentalists in evaluation of different parameter scenarios as the time needed to simulate an experiment is significantly less than the time needed for the experiment itself. We provide the full two-dimensional model development, as well as investigation into possible variations of specific model choices, and we demonstrate the robustness and …
The Goodness-Of-Fit Tests For Geometric Models,
2013
New Jersey Institute of Technology
The Goodness-Of-Fit Tests For Geometric Models, Feiyan Chen
Dissertations
We propose two types of goodness-of-fit tests for geometric distribution and for a bivariate geometric distribution called BGD(B&D), based on their probability generating function (PGF). The first type is a special-case application of the general testing procedure for discrete distributions proposed by Kocherlakota and Kocherlakota (1986). The second type utilizes the supremum of the absolute value of the standardized difference between the PGF’s maximum likelihood estimator (MLE) and its empirical counterpart as the test statistic. We verify the asymptotic properties of the test statistics for the first type of test and explore the asymptotic behaviors of the test statistics for …
