Mathematics

Works Published in 2017

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Displaying works 161 - 180 of 199 in total

Sorted by most recent date added to the index first, which may not be the same as publication date order.

2017 article

Modeling the distribution of distance data in Euclidean space

ALGEBRAIC AND GEOMETRIC METHODS IN DISCRETE MATHEMATICS, Vol. 685, pp. 117–135.

By: R. Davidson, J. Rusinko, Z. Vernon & J. Xi*

TL;DR: This chapter model how input data points drawn from DNA sequences are distributed throughout Euclidean space in relation to the space of tree metrics, which can be described as a collection of polyhedral cones. (via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Impulsive control problem governed by fractional differential equations and applications

Dynamic Systems and Applications, 26(1), 37–63.

By: N. Medhin & M. Sambandham

Source: NC State University Libraries
Added: August 6, 2018

2017 journal article

Automated assay and differential model of western honey bee (Apis mellifera) autogrooming using digital image processing

COMPUTERS AND ELECTRONICS IN AGRICULTURE, 135, 338–344.

By: C. Giuffre n, S. Lubkin n  & D. Tarpy n 

author keywords: Grooming behavior; Honey bees; Social insects; Image processing
TL;DR: A novel, automated honey bee grooming assay was developed and tested to expedite data collection of grooming behavior by testing different honey bee genotypes (stocks), and bees from the different commercial stocks were not significantly different in their grooming rates. (via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2017 journal article

ACCURATE SOLUTION AND GRADIENT COMPUTATION FOR ELLIPTIC INTERFACE PROBLEMS WITH VARIABLE COEFFICIENTS

SIAM JOURNAL ON NUMERICAL ANALYSIS, 55(2), 570–597.

By: Z. Li* , H. Ji & X. Chen*

author keywords: elliptic interface problem; accurate gradient computation; variable coefficient with discontinuity; interface; M-matrix; convergence proof; discrete Green function
TL;DR: Numerical examples for general elliptic interface problems have confirmed the theoretical analysis and efficiency of the new augmented method and second order convergence for the solution and the gradient from each side of the interface has also been proved. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

A stochastic portfolio optimization model with complete memory

STOCHASTIC ANALYSIS AND APPLICATIONS, 35(4), 742–766.

By: T. Pang n & A. Hussain *

author keywords: Portfolio optimization; Hamilton-Jacobi-Bellman equation; dynamic programming; stochastic delay equation
Source: Web Of Science
Added: August 6, 2018

2017 journal article

A Computationally Viable Version of the PN Method for Spheres

NUCLEAR SCIENCE AND ENGINEERING, 186(2), 103–119.

By: R. Garcia, C. Siewert n & J. Thomas*

author keywords: Neutron transport; spherical geometry; spherical harmonics method
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Stability of Nonlinear Convection-Diffusion-Reaction Systems in Discontinuous Galerkin Methods

JOURNAL OF SCIENTIFIC COMPUTING, 70(2), 516–550.

By: C. Michoski *, A. Alexanderian*, C. Paillet*, E. Kubatko* & C. Dawson *

author keywords: Stability analysis; Nonlinear; von Neumann; Discontinuous Galerkin; Runge-Kutta methods; RKSSP; RKC; Convection-Reaction-Diffusion
UN Sustainable Development Goal Categories
13. Climate Action (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Spin characters of hyperoctahedral wreath products

JOURNAL OF PURE AND APPLIED ALGEBRA, 221(9), 2220–2235.

By: X. Hu * & N. Jing n 

Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

On the n-symplectic structure of faithful irreducible representations

JOURNAL OF MATHEMATICAL PHYSICS, 58(4).

By: L. Norris n

Source: Web Of Science
Added: August 6, 2018

2017 journal article

Imaginary Verma modules for U-q<((sl(2)))over cap> and crystal-like bases

JOURNAL OF ALGEBRA, 481, 12–35.

By: B. Cox*, V. Futorny * & K. Misra n

author keywords: Quantum affine algebras; Imaginary Verma modules; Kashiwara algebras; Crystal bases
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Hamel's Formalism for Infinite-Dimensional Mechanical Systems

JOURNAL OF NONLINEAR SCIENCE, 27(1), 241–283.

By: D. Shi *, Y. Berchenko-Kogan*, D. Zenkov n & A. Bloch*

author keywords: Hamel equations; Nonholonomic constraints; Momentum; Symmetry
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Galois groups for integrable and projectively integrable linear difference equations

JOURNAL OF ALGEBRA, 480, 423–449.

By: C. Arreche n & M. Singer n

author keywords: Differential Galois theory of difference equations; Linear differential algebraic groups; Hypertranscendence; Difference algebra; Differential algebra
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Distributions of topological tree metrics between a species tree and a gene tree

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 69(3), 647–671.

By: J. Xi n, J. Xie* & R. Yoshida*

author keywords: Coalescent; Phylogenetics; Tree metrics; Tree topologies
TL;DR: This paper studies the distributions of the three tree distance metrics: the edge difference, the path difference, and the precise K interval cospeciation distance, between two trees. (via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2017 journal article

COSMETIC SURGERY IN L-SPACES AND NUGATORY CROSSINGS

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369(5), 3639–3654.

By: T. Lidman n & A. Moore *

Source: Web Of Science
Added: August 6, 2018

2017 journal article

A model of ovulatory regulation examining the effects of insulin-mediated testosterone production on ovulatory function

JOURNAL OF THEORETICAL BIOLOGY, 416, 149–160.

By: E. Graham * & J. Selgrade n

author keywords: Polycystic ovary syndrome; Steroidogenesis
MeSH headings : Adult; Androgens / physiology; Female; Humans; Hyperinsulinism; Insulin / physiology; Insulin Resistance; Menstrual Cycle; Models, Theoretical; Ovulation; Polycystic Ovary Syndrome; Testosterone / biosynthesis; Testosterone / physiology
TL;DR: A mathematical model of the menstrual cycle is presented that incorporates regulation by the pituitary-ovarian axis and mechanisms of ovarian testosterone production and suggests that variations in the response of ovarian follicles to essential signals can alter the degree to which hyperinsulinemia disrupts the ovulatory cycle. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (OpenAlex)
5. Gender Equality (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2017 journal article

A Bayesian approach to modeling diffraction profiles and application to ferroelectric materials

Journal of Applied Crystallography, 50(1), 211–220.

By: T. Iamsasri n, J. Guerrier n, G. Esteves n, C. Fancher n, A. Wilson n , R. Smith n , E. Paisley*, R. Johnson-Wilke* ...

author keywords: ferroelectric materials; Bayesian inference; domain switching fraction; modeling diffraction profiles
Sources: Crossref, NC State University Libraries, NC State University Libraries
Added: August 6, 2018

2017 journal article

Statistically Consistent k-mer Methods for Phylogenetic Tree Reconstruction

JOURNAL OF COMPUTATIONAL BIOLOGY, 24(2), 153–171.

By: E. Allman *, J. Rhodes * & S. Sullivant n

author keywords: phylogenetic trees; alignment-free methods; k-mer
MeSH headings : Algorithms; Base Sequence; Computer Simulation; Evolution, Molecular; Models, Genetic; Phylogeny; Sequence Alignment; Sequence Analysis, DNA
TL;DR: It is shown that a standard approach of using the squared Euclidean distance between k-mer vectors to approximate a tree metric can be statistically inconsistent, and model-based distance corrections for orthologous sequences without gaps are derived, which lead to consistent tree inference. (via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Representation Stability for Cohomology of Configuration Spaces in R-d

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2017(5), 1433–1486.

By: P. Hersh n & V. Reiner*

UN Sustainable Development Goal Categories
4. Quality Education (Web of Science)
5. Gender Equality (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Dispersive and Diffusive-Dispersive ShockWaves for Nonconvex Conservation Laws

SIAM REVIEW, 59(1), 3–61.

By: G. El, M. Hoefer & M. Shearer* 

author keywords: shock waves; conservation laws; partial differential equations; dispersive equations; traveling waves
TL;DR: This review compares the structure of solutions of Riemann problems for a conservation law with nonconvex, cubic flux regularized by two different mechanisms: (1) dispersion in the modified Korteweg--de Vries (mKdV) equation; and (2) a combination of diffusion and disp immersion in the mKDV--Burgers equation. (via Semantic Scholar)
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
15. Life on Land (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

Wetting dynamics of a collapsing fluid hole

PHYSICAL REVIEW FLUIDS, 2(1).

By: J. Bostwick *, J. Dijksman * & M. Shearer* 

UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

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