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Articles 1 - 30 of 80
Full-Text Articles in Physical Sciences and Mathematics
Social Aggregation In Pea Aphids: Experiment And Random Walk Modeling, Christa Nilsen, John Paige, Olivia Warner, Benjamin Mayhew, Ryan Sutley, Mathew Lam, Andrew J. Bernoff, Chad M. Topaz
Social Aggregation In Pea Aphids: Experiment And Random Walk Modeling, Christa Nilsen, John Paige, Olivia Warner, Benjamin Mayhew, Ryan Sutley, Mathew Lam, Andrew J. Bernoff, Chad M. Topaz
Chad M. Topaz
No abstract provided.
Prescribed Fire Effects On Resource Selection By Cattle In Mesic Sagebrush Steppe. Part 1: Spring Grazing, Patrick Clark, Jaechoul Lee, Kyungduk Ko, Ryan Nielson, Douglas Johnson, David Ganskopp, Joe Chigbrow, Frederick Pierson, Stuart Hardegree
Prescribed Fire Effects On Resource Selection By Cattle In Mesic Sagebrush Steppe. Part 1: Spring Grazing, Patrick Clark, Jaechoul Lee, Kyungduk Ko, Ryan Nielson, Douglas Johnson, David Ganskopp, Joe Chigbrow, Frederick Pierson, Stuart Hardegree
Kyungduk Ko
Prescribed fire is commonly applied world-wide as a tool for enhancing habitats and altering resource-selection patterns of grazing animals. A scientific basis for this practice has been established in some ecosystems but its efficacy has not been rigorously evaluated on mesic sagebrush steppe. Beginning in 2003, resource-selection patterns of beef cows were investigated using global positioning system (GPS) collars for 2 years before and for 5 years after a fall prescribed burn was applied to mesic sagebrush steppe in the Owyhee Mountains of southwestern Idaho, USA. Resource-selection functions (RSF) developed from these data indicated cattle selected for lightly to moderately …
Localized Bases For Kernel Spaces On The Unit Sphere, E. Fuselier, T. Hangelbroek, F. J. Narcowich, J. D. Ward, G. B. Wright
Localized Bases For Kernel Spaces On The Unit Sphere, E. Fuselier, T. Hangelbroek, F. J. Narcowich, J. D. Ward, G. B. Wright
Grady Wright
Approximation/interpolation from spaces of positive definite or conditionally positive definite kernels is an increasingly popular tool for the analysis and synthesis of scattered data and is central to many meshless methods. For a set of N scattered sites, the standard basis for such a space utilizes N globally supported kernels; computing with it is prohibitively expensive for large N. Easily computable, well-localized bases with “small-footprint” basis elements—i.e., elements using only a small number of kernels—have been unavailable. Working on S2, with focus on the restricted surface spline kernels (e.g., the thin-plate splines restricted to the sphere), we construct easily computable, …
Numerical Studies Of The Generalized L1 Greedy Algorithm For Sparse Signals, Fangjun Arroyo, Edward Arroyo, Xiezhang Li, Jiehua Zhu
Numerical Studies Of The Generalized L1 Greedy Algorithm For Sparse Signals, Fangjun Arroyo, Edward Arroyo, Xiezhang Li, Jiehua Zhu
Xiezhang Li
The generalized l1 greedy algorithm was recently introduced and used to reconstruct medical images in computerized tomography in the compressed sensing framework via total variation minimization. Experimental results showed that this algorithm is superior to the reweighted l1-minimization and l1 greedy algorithms in reconstructing these medical images. In this paper the effectiveness of the generalized l1 greedy algorithm in finding random sparse signals from underdetermined linear systems is investigated. A series of numerical experiments demonstrate that the generalized l1 greedy algorithm is superior to the reweighted l1-minimization and l1 greedy algorithms in the successful recovery of randomly generated Gaussian sparse …
Digital Images: They're Not Just For Viewing, Lori Ziegelmeier
Digital Images: They're Not Just For Viewing, Lori Ziegelmeier
Lori Beth Ziegelmeier
No abstract provided.
Fixed-Point Free Circle Actions On 4-Manifolds, Weimin Chen Chen
Fixed-Point Free Circle Actions On 4-Manifolds, Weimin Chen Chen
Weimin Chen
This paper is concerned with fixed-point free S1-actions (smooth or locally linear) on orientable 4-manifolds. We show that the fundamental group plays a predominant role in the equivariant classification of such 4-manifolds. In particular, it is shown that for any finitely presented group with infinite center, there are at most finitely many distinct smooth (resp. topological) 4-manifolds which support a fixed-point free smooth (resp. locally linear) S1-action and realize the given group as the fundamental group. A similar statement holds for the number of equivalence classes of fixed-point free S1-actions under some further conditions on the fundamental group. The connection …
On Local Fractional Continuous Wavelet Transform, Yang Xiaojun
On Local Fractional Continuous Wavelet Transform, Yang Xiaojun
Xiao-Jun Yang
We introduce a new wavelet transform within the framework of the local fractional calculus. An illustrative example of local fractional wavelet transform is also presented.
Leslie Matrices For Logistic Population Modeling, Bruce Kessler
Leslie Matrices For Logistic Population Modeling, Bruce Kessler
Bruce Kessler
Leslie matrices are taught as a method of modeling populations in a discrete-time fashion with more detail in the tracking of age groups within the population. Leslie matrices have limited use in the actual modeling of populations, since when the age groups are summed, it is basically equivalent to discrete-time modeling assuming exponential population growth. The logistic model of population growth is more realistic, since it takes into account a carrying capacity for the environment of the population. This talk will describe an adjustment to the Leslie matrix approach for population modeling that is both takes into account the carrying …
Mathematicians Playing A Role In Math Education: What We Learned At The Ime/Mime Workshop, Anna Bargagliotti, Rama Chidambaram, Gizem Karaali
Mathematicians Playing A Role In Math Education: What We Learned At The Ime/Mime Workshop, Anna Bargagliotti, Rama Chidambaram, Gizem Karaali
Anna Bargagliotti
In Hollywood, some actors are regularly cast as mean, others as sweet and endearing, and some typically play innocent big-eyed youths who inevitably succeed after awakening to the particular facts of life that their producer wants them to awaken to. It is unusual and difficult for actors to cross the bridge between different types on a regular basis. However, there are always exceptions to the rule. In the seemingly unrelated world of academics, mathematics faculty may find themselves playing different roles. People with different skills and interests strive to balance their careers in ways that will be uniquely fulfilling to …
Folding Corners Of The Habits Of Mind, Peter S. Wiles
Folding Corners Of The Habits Of Mind, Peter S. Wiles
Peter S. Wiles
X2 Tests For The Choice Of The Regularization Parameter In Nonlinear Inverse Problems, J. L. Mead, C. C. Hammerquist
X2 Tests For The Choice Of The Regularization Parameter In Nonlinear Inverse Problems, J. L. Mead, C. C. Hammerquist
Jodi Mead
We address discrete nonlinear inverse problems with weighted least squares and Tikhonov regularization. Regularization is a way to add more information to the problem when it is ill-posed or ill-conditioned. However, it is still an open question as to how to weight this information. The discrepancy principle considers the residual norm to determine the regularization weight or parameter, while the χ2 method [J. Mead, J. Inverse Ill-Posed Probl., 16 (2008), pp. 175–194; J. Mead and R. A. Renaut, Inverse Problems, 25 (2009), 025002; J. Mead, Appl. Math. Comput., 219 (2013), pp. 5210–5223; R. A. Renaut, I. Hnetynkova, and J. L. …
Local Fractional Discrete Wavelet Transform For Solving Signals On Cantor Sets, Yang Xiaojun
Local Fractional Discrete Wavelet Transform For Solving Signals On Cantor Sets, Yang Xiaojun
Xiao-Jun Yang
The discrete wavelet transform via local fractional operators is structured and applied to process the signals on Cantor sets. An illustrative example of the local fractional discretewavelet transformis given.
Parametric Sensitivity Analysis For Biochemical Reaction Networks Based On Pathwise Information Theory, Yannis Pantazis, Markos Katsoulakis, Dionisios G. Vlachos
Parametric Sensitivity Analysis For Biochemical Reaction Networks Based On Pathwise Information Theory, Yannis Pantazis, Markos Katsoulakis, Dionisios G. Vlachos
Markos Katsoulakis
Background: Stochastic modeling and simulation provide powerful predictive methods for the intrinsic understanding of fundamental mechanisms in complex biochemical networks. Typically, such mathematical models involve networks of coupled jump stochastic processes with a large number of parameters that need to be suitably calibrated against experimental data. In this direction, the parameter sensitivity analysis of reaction networks is an essential mathematical and computational tool, yielding information regarding the robustness and the identifiability of model parameters. However, existing sensitivity analysis approaches such as variants of the finite difference method can have an overwhelming computational cost in models with a high-dimensional parameter space. …
Bayesian Analysis Of Hypothesis Testing Problems For General Population: A Kullback–Leibler Alternative, Naveen Bansal, Gholamhossein Hamedani, Ru Sheng
Bayesian Analysis Of Hypothesis Testing Problems For General Population: A Kullback–Leibler Alternative, Naveen Bansal, Gholamhossein Hamedani, Ru Sheng
Naveen Bansal
We consider a hypothesis problem with directional alternatives. We approach the problem from a Bayesian decision theoretic point of view and consider a situation when one side of the alternatives is more important or more probable than the other. We develop a general Bayesian framework by specifying a mixture prior structure and a loss function related to the Kullback–Leibler divergence. This Bayesian decision method is applied to Normal and Poisson populations. Simulations are performed to compare the performance of the proposed method with that of a method based on a classical z-test and a Bayesian method based on the …
Creating Composite Age Groups To Smooth Percentile Rank Distributions Of Small Samples, Francesca Lopez, Amy Olson, Naveen Bansal
Creating Composite Age Groups To Smooth Percentile Rank Distributions Of Small Samples, Francesca Lopez, Amy Olson, Naveen Bansal
Naveen Bansal
Individually administered tests are often normed on small samples, a process that may result in irregularities within and across various age or grade distributions. Test users often smooth distributions guided by Thurstone assumptions (normality and linearity) to result in norms that adhere to assumptions made about how the data should look. Test users, however, may come across particular tests or sets of data in which the Thurstone assumptions are untenable. When users expect deviations from normality within age or grade, an alternate method is desirable. The authors present a relatively simple procedure that allows the user to treat observed raw …
Joint User Grouping And Linear Virtual Beamforming: Complexity, Algorithms And Approximation Bounds, Mingyi Hong, Zi Xu, Meisam Razaviyayn, Zhi-Quan Luo
Joint User Grouping And Linear Virtual Beamforming: Complexity, Algorithms And Approximation Bounds, Mingyi Hong, Zi Xu, Meisam Razaviyayn, Zhi-Quan Luo
Mingyi Hong
In a wireless system with a large number of distributed nodes, the quality of communication can be greatly improved by pooling the nodes to perform joint transmission/reception. In this paper, we consider the problem of optimally selecting a subset of nodes from potentially a large number of candidates to form a virtual multi-antenna system, while at the same time designing their joint linear transmission strategies. We focus on two specific application scenarios: 1) multiple single antenna transmitters cooperatively transmit to a receiver; 2) a single transmitter transmits to a receiver with the help of a number of cooperative relays. We …
Symplectic Harmonic Theory And The Federer-Fleming Deformation Theorem, Yi Lin
Symplectic Harmonic Theory And The Federer-Fleming Deformation Theorem, Yi Lin
Yi Lin
In this article, we initiate a geometric measure theoretic approach to symplectic Hodge theory. In particular, we apply one of the central results in geometric measure theory, the Federer-Fleming deformation theorem, together with the cohomology theory of normal cur- rents on a differential manifold, to establish a fundamental property on symplectic Harmonic forms. We show that on a closed symplectic manifold, every real primitive cohomology class of positive degrees admits a symplectic Harmonic representative not supported on the entire mani- fold. As an application, we use it to investigate the support of symplectic Harmonic representatives of Thom classes, and give …
Wilson Theorem, Hamed Amjadi
Mathematical Reasoning: Writing And Proof, Ted Sundstrom
Mathematical Reasoning: Writing And Proof, Ted Sundstrom
Ted Sundstrom, Professor of Mathematics
Mathematical Reasoning: Writing and Proof is designed to be a text for the first course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are to help students: • Develop logical thinking skills and to develop the ability to think more abstractly in a proof oriented setting. • Develop the ability to construct and write mathematical proofs using standard methods of mathematical proof including direct proofs, proof by contradiction, mathematical induction, case analysis, and counterexamples. • Develop the ability …
Characterization Of (C)-Riordan Arrays, Gegenbauer-Humbert-Type Polynomial Sequences, And (C)-Bell Polynomials, Tian-Xiao He, Henry Gould
Characterization Of (C)-Riordan Arrays, Gegenbauer-Humbert-Type Polynomial Sequences, And (C)-Bell Polynomials, Tian-Xiao He, Henry Gould
Tian-Xiao He
Here presented are the definitions of (c)-Riordan arrays and (c)-Bell polynomials which are extensions of the classical Riordan arrays and Bell polynomials. The characterization of (c)-Riordan arrays by means of the A- and Z-sequences is given, which corresponds to a horizontal construction of a (c)-Riordan array rather than its definition approach through column generating functions. There exists a one-to-one correspondence between Gegenbauer-Humbert-type polynomial sequences and the set of (c)-Riordan arrays, which generates the sequence characterization of Gegenbauer-Humbert-type polynomial sequences. The sequence characterization is applied to construct readily a (c)-Riordan array. In addition, subgrouping of (c)-Riordan arrays by using the characterizations …
Discrete Fourier Restriction Associated With Kdv Equations, Yi Hu, Xiaochun Li
Discrete Fourier Restriction Associated With Kdv Equations, Yi Hu, Xiaochun Li
Yi Hu
In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz estimates are obtained. We also establish the local well-posedness for the periodic generalized Korteweg-de Vries equation with nonlinear term $F(u)\p_x u$ provided F∈C5 and the initial data ϕ∈Hs with s>1/2.
Long-Wave Model For Strongly Anisotropic Growth Of A Crystal Step, Mikhail Khenner
Long-Wave Model For Strongly Anisotropic Growth Of A Crystal Step, Mikhail Khenner
Mikhail Khenner
A continuum model for the dynamics of a single step with the strongly anisotropic line energy is formulated and analyzed. The step grows by attachment of adatoms from the lower terrace, onto which atoms adsorb from a vapor phase or from a molecular beam, and the desorption is nonnegligible (the “one-sided” model). Via a multiscale expansion, we derived a long-wave, strongly nonlinear, and strongly anisotropic evolution PDE for the step profile. Written in terms of the step slope, the PDE can be represented in a form similar to a convective Cahn-Hilliard equation. We performed the linear stability analysis and computed …
Sections Of Surface Bundles And Lefschetz Fibrations, Inanc Baykur, Mustafa Korkmaz, Naoyuki Monden
Sections Of Surface Bundles And Lefschetz Fibrations, Inanc Baykur, Mustafa Korkmaz, Naoyuki Monden
Inanc Baykur
We investigate the possible self-intersection numbers for sections of surface bundles and Lefschetz fibrations over surfaces. When the fiber genus g and the base genus h are positive, we prove that the adjunction bound 2h−2 is the only universal bound on the self-intersection number of a section of any such genus g bundle and fibration. As a side result, in the mapping class group of a surface with boundary, we calculate the precise value of the commutator lengths of all powers of a Dehn twist about a boundary component, concluding that the stable commutator length of such a Dehn twist …
A Study Of Non-Central Skew T Distributions And Their Applications In Data Analysis And Change Point Detection, Abeer Hasan
A Study Of Non-Central Skew T Distributions And Their Applications In Data Analysis And Change Point Detection, Abeer Hasan
Abeer Hasan
Mathematics Libguide, Sandra Barclay
Mathematics Libguide, Sandra Barclay
Sandra Barclay
Welcome to the Horace W. Sturgis Library and the Mathematics Libguide at Kennesaw State University! To get started with your math research, this is the place to go. We hope you will find this information helpful. Please let us know what other resources you could use.
Systems Of Navier-Stokes Equations On Cantor Sets
Systems Of Navier-Stokes Equations On Cantor Sets
Xiao-Jun Yang
We present systems of Navier-Stokes equations on Cantor sets, which are described by the local fractional vector calculus. It is shown that the results for Navier-Stokes equations in a fractal bounded domain are efficient and accurate for describing fluid flow in fractal media.
Mathematical Aspects Of Heisenberg Uncertainty Principle Within Local Fractional Fourier Analysis, Yang Xiaojun
Mathematical Aspects Of Heisenberg Uncertainty Principle Within Local Fractional Fourier Analysis, Yang Xiaojun
Xiao-Jun Yang
In this paper, we discuss the mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis. The Schrödinger equation and Heisenberg uncertainty principles are structured within local fractional operators.
Superset : A Mathematical Investigation Of A Variation Of Set, Jeffrey C. Pereira
Superset : A Mathematical Investigation Of A Variation Of Set, Jeffrey C. Pereira
Jeffrey C Pereira
Aside from being fun, card games have been used as methods to teach elements of probability. One such card game ,"SET", has players find groups of three cards called SETs. In this paper ,I investigate the mathematics of the game of SET such as the probabilities of finding various SETs in the actual game as well as modelling probabilities of more complicated games identifying the geometry of a SET. I also look at forming a geometric model for identifying SETs and use this as a means of finding the Maximal Cap of the game. In addition to the classic game …
On Random Time And On The Relation Between Wave And Telegraph Equations, Ramakrishna Janaswamy
On Random Time And On The Relation Between Wave And Telegraph Equations, Ramakrishna Janaswamy
Ramakrishna Janaswamy
Kac’s conjecture relating the solution of wave and telegraph equations in higher dimensions through a Poisson process-driven random time is established through the concepts of stochastic calculus. New expression is derived for the probability density function of the random time. We demonstrate how the relationship between the solution of a lossy wave- and that of a lossless wave equation can be exploited to derive some statistical identities. Relevance of the results presented to the study of pulse propagation in a dispersive medium characterized by a Lorentz or Drude model is discussed and new evolution equations for 2D Maxwell’s equations are …
Early Investigations In Conformal And Differential Geometry, Raymond T. Walter