Works Published in 2007

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Displaying works 101 - 120 of 180 in total

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

2007 journal article

Class, dimension and length in nilpotent lie algebras

Electronic Journal of Linear Algebra, 16, 429–434.

By: L. Bradley* & E. Stitzinger n

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2007 journal article

Active Control of Sound for Composite Regions

SIAM Journal on Applied Mathematics, 67(6), 1582–1609.

By: A. Peterson & S. Tsynkov*

author keywords: active shielding; noise control; inverse source problem; time-harmonic acoustic fields; composite domain; communication pattern; the Helmholtz equation; generalized Calderon's potentials; exact volumetric cancellation; general solution; incoming and outgoing waves; wave split
TL;DR: A methodology for the active control of time-harmonic wave fields, e.g., acoustic disturbances, in composite regions, which extends the previous approach developed for the case of arcwise connected regions. (via Semantic Scholar)
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018

2007 journal article

Smooth and algebraic invariants of a group action: Local and global constructions

FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 7(4), 455–493.

By: E. Hubert* & I. Kogan n

Contributors: E. Hubert* & I. Kogan n

author keywords: rational and algebraic invariants; smooth and differential invariants; algebraic and Lie group actions; cross-section; moving frame method; Grobner basis
TL;DR: An algebraic formulation of the moving frame method for constructing local smooth invariants on a manifold under an action of a Lie group is provided, which gives rise to algorithms for constructing rational and replacement invariants. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 journal article

On the signal-to-interference ratio of CDMA systems in wireless communications

ANNALS OF APPLIED PROBABILITY, 17(1), 81–101.

By: Z. Bai & J. Silverstein*

author keywords: code-division multiple access (CDMA) systems; random matrix; empirical distributions
TL;DR: It is proven that, with probability 1, $SIR_1$ tends, as $N\to\infty$, to the limit of the nonrandom, Hermitian positive definite matrix A, which represents the best signal-to-interference ratio for user 1 with respect to the other $K-1$ users in a direct-sequence code-division multiple-access system in wireless communications. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 conference paper

On probabilistic analysis of randomization in hybrid symbolic-numeric algorithms

International Workshop on Symbolic-Numeric Computation: Proceedings. New York: ACM Press.

By: E. Kaltofen, Z. Yang & L. Zhi

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

2007 journal article

Model-Based Failure Detection on Nonlinear Systems: Theory and Transition

Naval Engineers Journal, 119(2), 93–107.

By: K. Drake*, S. Campbell*, I. Andjelkovic* & K. Sweetingham n

TL;DR: Efforts made toward extending this algorithm for fault detection to nonlinear systems along with efforts in testing this family of algorithms on real systems are discussed. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: ORCID, Crossref, Web Of Science
Added: August 6, 2018

2007 journal article

Estimation of dynamic rate parameters in insect populations undergoing sublethal exposure to pesticides

BULLETIN OF MATHEMATICAL BIOLOGY, 69(7), 2139–2180.

By: H. Banks n, J. Banks*, L. Dick n & J. Stark*

author keywords: population models; Leslie; Sinko-Streifer; McKendrick-VonForester; time-dependent parameters
MeSH headings : Age Factors; Algorithms; Animals; Aphids / growth & development; Computer Simulation; Confidence Intervals; Fertility / drug effects; Insecta / growth & development; Models, Biological; Pest Control / methods; Pesticides / toxicity; Population Density; Population Dynamics; Population Growth; Survival Analysis; Time Factors; Vicia faba / growth & development
TL;DR: This continuous model is used to estimate time-dependent mortality parameters in an ordinary least-squares technique and results from tests for statistical significance of added parameters are presented. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2007 article

Using a signature function to determine resonant and attenuant 2-cycles in the Smith-Slatkin population model

Franke, J. E., & Yakubu, A.-A. (2007, April). JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, Vol. 13, pp. 289–308.

author keywords: attenuant; periodic forcing; resonant; signature function; Smith-Slatkin model
TL;DR: It is proved that small 2-periodic fluctuations of the three parameters generate 2-cyclic oscillations of the population and a signature function is developed for predicting the responses of populations to 2- periodic fluctuations. (via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2007 article

Time delay systems with distribution dependent dynamics

ANNUAL REVIEWS IN CONTROL, Vol. 31, pp. 17–26.

By: H. Banks n, S. Dediu n & H. Nguyen n

author keywords: inverse dynamics problem; probability distribution function; sensitivity analysis; biomedical systems
TL;DR: A functional analytic framework for investigating well-posedness, existence, uniqueness and continuous dependence of solutions, inverse problems, sensitivity analysis and approximations of the measures for computational purposes is surveyed. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

The global attractor of a competitor-competitor-mutualist-reaction-diffusion system with time delays

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 67(9), 2623–2631.

By: C. Pao n

author keywords: reaction-diffusion system; asymptotic behavior; positive solutions; global attraction; time delays; upper and lower solutions
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Sortable elements and Cambrian lattices

ALGEBRA UNIVERSALIS, 56(3-4), 411–437.

By: N. Reading*

Contributors: N. Reading*

UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 journal article

Scalar discrete nonlinear multipoint boundary value problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 330(2), 876–890.

author keywords: boundary value problems; Brouwer Fixed Point Theorem; Lyapunov-Schmidt; projection
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Nonlinear feedback controllers and compensators: a state-dependent Riccati equation approach

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 37(2), 177–218.

By: H. Banks n, B. Lewis* & H. Tran n

author keywords: nonlinear feedback control; nonlinear compensator; state-dependent Riccati equations
TL;DR: This paper addresses the effectiveness and potential of the SDRE technique for the design of nonlinear compensator-based feedback controllers and the asymptotic convergence of the estimator and the compensated system. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 journal article

Monotone iterative methods for numerical solutions of nonlinear integro-elliptic boundary problems

APPLIED MATHEMATICS AND COMPUTATION, 186(2), 1624–1642.

By: C. Pao n

author keywords: integro-differential equations; reaction-diffusion-convection; finite-difference solution; monotone iterations; upper and lower solutions; existence-uniqueness theorem
TL;DR: The aim of this paper is to obtain various monotone iterative schemes for numerical solutions of a class of nonlinear nonlocal reaction–diffusion–convection equations under linear boundary conditions. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2007 article

Global attractors for a discrete selection model with periodic immigration

Selgrade, J. F., & Roberds, J. H. (2007, April). JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, Vol. 13, pp. 275–287.

By: J. Selgrade n & J. Roberds*

author keywords: natural selection; periodic immigration; complete dominance; no dominance; global attractor
TL;DR: A one-island selection-migration model is used to study the periodic immigration of a population of fixed allele frequency into a natural population and the existence and location of global attractors are established. (via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Fast numerical methods for Bernoulli free boundary problems

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 29(2), 622–634.

By: C. Kuster*, P. Gremaud* & R. Touzani

author keywords: Bernoulli; free boundary; level set; boundary elements
TL;DR: The numerical solution of the free boundary Bernoulli problem is addressed and an iterative method based on a level-set formulation and boundary element method is proposed. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Comprehensive transcriptome profiling in tomato reveals a role for glycosyltransferase in Mi-mediated nematode resistance

PLANT PHYSIOLOGY, 144(2), 1079–1092.

MeSH headings : Animals; Feeding Behavior / physiology; Gene Expression; Gene Expression Profiling; Gene Expression Regulation, Plant; Gene Silencing; Genomics; Glycosyltransferases / metabolism; Host-Parasite Interactions / physiology; Solanum lycopersicum / enzymology; Solanum lycopersicum / genetics; Solanum lycopersicum / parasitology; Oligonucleotide Array Sequence Analysis; Plant Roots / enzymology; Plant Roots / metabolism; Plant Roots / parasitology; Reproduction / physiology; Tylenchoidea / physiology
TL;DR: The root transcriptome of the resistant and susceptible cultivars ‘Motelle’ and ‘Moneymaker’ is interrogated, providing a picture of global gene expression changes in roots during compatible and incompatible associations with RKN, and point to candidates for further investigation. (via Semantic Scholar)
UN Sustainable Development Goal Categories
2. Zero Hunger (Web of Science)
13. Climate Action (Web of Science)
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Clusters, coxeter-sortable elements and noncrossing partitions

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 359(12), 5931–5958.

By: N. Reading n

Contributors: N. Reading n

UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 journal article

Stochastic and deterministic models for agricultural production networks

Mathematical Biosciences and Engineering, 4(3), 373–402.

By: P. Bai*, H. Banks n, S. Dediu n, A. Govan n, M. Last, A. Lloyd n, H. Nguyen*, M. Olufsen n, G. Rempala*, B. Slenning n

Contributors: P. Bai*, H. Banks n, S. Dediu n, A. Govan n, M. Last, A. Lloyd n, H. Nguyen*, M. Olufsen n, G. Rempala*, B. Slenning n

MeSH headings : Animal Husbandry / methods; Animal Husbandry / organization & administration; Animals; Animals, Domestic; Computer Simulation; Models, Biological; Models, Organizational; Models, Statistical; Stochastic Processes; Swine / growth & development
TL;DR: An approach to modeling the impact of disturbances in an agricultural production network and its approximate deterministic model for averages over sample paths of the stochastic system are presented. (via Semantic Scholar)
UN Sustainable Development Goal Categories
2. Zero Hunger (OpenAlex)
Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2007 journal article

Some solutions (linear in the spatial variables) and generalized Chapman-Enskog functions basic to the linearized Boltzmann equations for a binary mixture of rigid spheres

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 58(2), 262–288.

By: R. Garcia & C. Siewert n

author keywords: rarefied gas dynamics; binary mixtures; rigid spheres
Source: Web Of Science
Added: August 6, 2018

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