IEEE transactions on reliability, ISSN 0018-9529, 06/2020, Volume 69, Issue 2, pp. 715 - 724

As a critical parameter in evaluating the reliability of a multiprocessor system when processors malfunction, the \boldsymbol Fault diagnosis | t/h -diagnosability"> t/h -diagnosability | Fault tolerance | Program processors | Computer network reliability | star graph | h -extra connectivity ( h -EC)"> h -extra connectivity ( h -EC) | Reliability theory | h -extra conditional diagnosability ( h -ECD)"> h -extra conditional diagnosability ( h -ECD) | h -extra vertex-cut ( h -EVC)"> h -extra vertex-cut ( h -EVC) | Multiprocessing systems | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | t/h-diagnosability | ALGORITHM | T/K-DIAGNOSABILITY | h-extra vertex-cut (h-EVC) | NETWORKS | FAULT-TOLERANCE | ENGINEERING, ELECTRICAL & ELECTRONIC | COMPUTER SCIENCE, SOFTWARE ENGINEERING | HYPERCUBES | hextra connectivity (h-EC) | NEIGHBOR CONDITIONAL DIAGNOSABILITY | EXTRACONNECTIVITY | STRUCTURAL-PROPERTIES | h-extra conditional diagnosability (h-ECD) | GENERALIZED MEASURES | 2-EXTRA CONNECTIVITY

Journal Article

Demonstratio mathematica, ISSN 2391-4661, 2018, Volume 51, Issue 1, pp. 8 - 16

We show that a group of diffeomorphisms D on the open unit interval I, equipped with the topology of uniform convergence on any compact set of the derivatives...

diffeology | infinite dimensional Lie groups | diffeomorphisms | exponential map | 22E65 | 22E66 | Exponential map | Infinite dimensional Lie groups | Diffeology | Diffeomorphisms | Mathematics - Differential Geometry | Business administration | Pattern Formation and Solitons | Mathematical Physics | Analysis of PDEs | Library and information sciences | Operator Algebras | Mathematics | Nonlinear Sciences | Quantum Physics | Humanities and Social Sciences | General Mathematics | Physics | Chaotic Dynamics | Spectral Theory | Differential Geometry | Metric Geometry | Exactly Solvable and Integrable Systems

diffeology | infinite dimensional Lie groups | diffeomorphisms | exponential map | 22E65 | 22E66 | Exponential map | Infinite dimensional Lie groups | Diffeology | Diffeomorphisms | Mathematics - Differential Geometry | Business administration | Pattern Formation and Solitons | Mathematical Physics | Analysis of PDEs | Library and information sciences | Operator Algebras | Mathematics | Nonlinear Sciences | Quantum Physics | Humanities and Social Sciences | General Mathematics | Physics | Chaotic Dynamics | Spectral Theory | Differential Geometry | Metric Geometry | Exactly Solvable and Integrable Systems

Journal Article

Journal of the London Mathematical Society, ISSN 0024-6107, 02/2015, Volume 91, Issue 1, pp. 225 - 248

We study the Robin Laplacian in a domain with two corners of the same opening, and we calculate the asymptotics of the two lowest eigenvalues as the distance...

SCHRODINGER OPERATOR | EIGENVALUE | MATHEMATICS | MULTIPLE WELLS | LARGE PARAMETER | SEMI-CLASSICAL LIMIT | Eigenvalues | Tunneling | Corners | Infinity | Asymptotic properties | Mathematical analysis | Mathematics | Spectral Theory | Mathematical Physics | Analysis of PDEs

SCHRODINGER OPERATOR | EIGENVALUE | MATHEMATICS | MULTIPLE WELLS | LARGE PARAMETER | SEMI-CLASSICAL LIMIT | Eigenvalues | Tunneling | Corners | Infinity | Asymptotic properties | Mathematical analysis | Mathematics | Spectral Theory | Mathematical Physics | Analysis of PDEs

Journal Article

IEEE transactions on fuzzy systems, ISSN 1941-0034, 2019, Volume 27, Issue 8, pp. 1687 - 1699

Yager's q -rung orthopair fuzzy set ( Economics | Fuzzy sets | Uncertainty | Decision making | q -rung orthopair fuzzy differentials"> q -rung orthopair fuzzy differentials | q -rung orthopair fuzzy sets ( q -ROFS)"> q -rung orthopair fuzzy sets ( q -ROFS) | Tools | q -rung orthopair fuzzy functions ( q -ROFF)"> q -rung orthopair fuzzy functions ( q -ROFF) | Calculus | Q -rung orthopair fuzzy derivatives"> Q -rung orthopair fuzzy derivatives | q-rung orthopair fuzzy differentials | q-rung orthopair fuzzy functions | q-rung orthopair fuzzy sets | q-rung orthopair fuzzy derivatives | q-rung orthopair fuzzy functions (q-ROFF) | Q-rung orthopair fuzzy derivatives | q-rung orthopair fuzzy sets (q-ROFS) | DECISION-MAKING | OPERATIONS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC

Journal Article

Advances in Mathematics, ISSN 0001-8708, 11/2017, Volume 320, pp. 1158 - 1184

In this work we prove a Baum–Bott type residue theorem for flags of holomorphic foliations. We prove some relations between the residues of the flag and the...

Residues | Holomorphic foliations | Characteristic classes | MATHEMATICS | Dynamical Systems | Mathematical Physics | Algebraic Topology | K-Theory and Homology | Operator Algebras | Algebraic Geometry | Mathematics | Differential Geometry

Residues | Holomorphic foliations | Characteristic classes | MATHEMATICS | Dynamical Systems | Mathematical Physics | Algebraic Topology | K-Theory and Homology | Operator Algebras | Algebraic Geometry | Mathematics | Differential Geometry

Journal Article

IEEE Transactions on Fuzzy Systems, ISSN 1063-6706, 03/2020, Volume 28, Issue 3, pp. 462 - 473

This paper is devoted to make a framework for studying a class of uncertain differential equations called Z-differential equations. In order to achieve the...

Z -derivative"> Z -derivative | Uncertainty | Acceptable information area | (s"> (s | Transforms | mu) -cut | Z -Laplace transform"> Z -Laplace transform | Probability distribution | Z -numbers"> Z -numbers | horizontal membership functions (HMFs) | random process | Differential equations | Mathematical model | Reliability | Z -process"> Z -process | EXISTENCE | HORIZONTAL MEMBERSHIP FUNCTION | Z-Laplace transform | FUZZY | Z-process | Z-derivative | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | CONTROLLED SYSTEM | ENGINEERING, ELECTRICAL & ELECTRONIC | Z-numbers | NUMERICAL-SOLUTION | (s, mu)-cut

Journal Article

2016, ISBN 9780691169651, xxvi, 363 pages, 16 unnumbered pages of plates

An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in...

Mathematics

Mathematics

Book

Journal of Dynamics and Differential Equations, ISSN 1040-7294, 12/2019, Volume 31, Issue 4, pp. 2029 - 2052

We consider a class of non-local reaction–diffusion problems, referred to as replicator–mutator equations in evolutionary genetics. For a confining fitness...

Evolutionary genetics | Schrödinger eigenelements | Mathematics | 35K15 | Long time behaviour | Branching phenomena | Ordinary Differential Equations | 92B05 | 92D15 | 45K05 | Applications of Mathematics | Partial Differential Equations | Dynamics of adaptation | Dynamical Systems | Functional Analysis | Mathematical Physics | Analysis of PDEs | Spectral Theory | Engineering Sciences | Automatic | Signal and Image processing

Evolutionary genetics | Schrödinger eigenelements | Mathematics | 35K15 | Long time behaviour | Branching phenomena | Ordinary Differential Equations | 92B05 | 92D15 | 45K05 | Applications of Mathematics | Partial Differential Equations | Dynamics of adaptation | Dynamical Systems | Functional Analysis | Mathematical Physics | Analysis of PDEs | Spectral Theory | Engineering Sciences | Automatic | Signal and Image processing

Journal Article

Analele științifice ale Universității "Al. I. Cuza" din Iași, ISSN 0041-9109, 1964

Journal

Rendiconti, 1980

Journal

Advanced studies in pure mathematics (Tokyo, Japan), 1983

Journal

08/2015, 1, ISBN 1498720978, 600

Fills the Existing Gap of Mathematics for Data FusionData fusion (DF) combines large amounts of information from a variety of sources and fuses this data...

Math

Math

eBook

Communications in Mathematical Physics, ISSN 0010-3616, 2015, Volume 335, Issue 3, pp. 1181 - 1209

This paper is a continuation of Poiret et al. (Ann Henri Poincar, 16:651-689, 2015), where we studied a randomisation method based on the Laplacian with...

PHYSICS, MATHEMATICAL | PSEUDODIFFERENTIAL-OPERATORS | EIGENFUNCTIONS | Mathematics | Spectral Theory | Mathematical Physics | Analysis of PDEs

PHYSICS, MATHEMATICAL | PSEUDODIFFERENTIAL-OPERATORS | EIGENFUNCTIONS | Mathematics | Spectral Theory | Mathematical Physics | Analysis of PDEs

Journal Article

Proceedings of the London Mathematical Society, ISSN 0024-6115, 1865

"Papers presented to J. E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965.

Periodicals | Mathematics

Periodicals | Mathematics

Journal

2015, ISBN 9780691164175, xxii, 336 pages, 16 unnumbered pages of plates

An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in...

Mathematics

Mathematics

Book

Probability surveys, ISSN 1549-5787, 2012, Volume 9, Issue 1, pp. 1 - 89

Probability Surveys 9 (2012) 1-89 These expository notes are centered around the circular law theorem, which states that the empirical spectral distribution of...

Singular values | Random matrices | Random graphs | Circular law | Spectrum | Probability | Mathematics | Spectral Theory | Mathematical Physics | Physics

Singular values | Random matrices | Random graphs | Circular law | Spectrum | Probability | Mathematics | Spectral Theory | Mathematical Physics | Physics

Journal Article

IEEE transactions on vehicular technology, ISSN 0018-9545, 06/2020, Volume 69, Issue 6, pp. 6766 - 6770

This correspondence focuses on the analysis of average symbol error rate (ASER) of M -ary...

Fading channels | Phase noise | Error analysis | boldsymbol {\alpha } - boldsymbol {\mu } fading models">and boldsymbol {\alpha } - boldsymbol {\mu } fading models | Tikhonov distribution | Phase locked loops | \boldsymbol {\kappa } - \boldsymbol {\mu } "> \boldsymbol {\kappa } - \boldsymbol {\mu } | noisy phase | \boldsymbol {\eta } - \boldsymbol {\mu } "> \boldsymbol {\eta } - \boldsymbol {\mu } | von Mises distribution | Probability density function | symbol error rate | Mathematical model | Signal to noise ratio

Fading channels | Phase noise | Error analysis |

Journal Article

Journal of Chemical Theory and Computation, ISSN 1549-9618, 01/2017, Volume 13, Issue 1, pp. 180 - 190

We introduce a new class of methods, denoted as Truncated Conjugate Gradient(TCG), to solve the many-body polarization energy and its associated forces in...

MECHANICS | SCALABLE EVALUATION | FIELD | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DYNAMICS | EQUATIONS | CHEMISTRY, PHYSICAL | PARTICLE MESH EWALD | COMPUTATIONS | PROTEINS | WATER | Thermodynamics | Algorithms | Monte Carlo Method | Molecular Dynamics Simulation | Polarization | Monte Carlo methods | Accuracy | Computer simulation | Mathematical analysis | Conjugate gradients | Iterative methods | Optimization | or physical chemistry | Mathematical Physics | Condensed Matter | Mathematics | Chemical Sciences | Physics | Theoretical and

MECHANICS | SCALABLE EVALUATION | FIELD | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DYNAMICS | EQUATIONS | CHEMISTRY, PHYSICAL | PARTICLE MESH EWALD | COMPUTATIONS | PROTEINS | WATER | Thermodynamics | Algorithms | Monte Carlo Method | Molecular Dynamics Simulation | Polarization | Monte Carlo methods | Accuracy | Computer simulation | Mathematical analysis | Conjugate gradients | Iterative methods | Optimization | or physical chemistry | Mathematical Physics | Condensed Matter | Mathematics | Chemical Sciences | Physics | Theoretical and

Journal Article

European journal of operational research, ISSN 0377-2217, 2017, Volume 263, Issue 2, pp. 559 - 570

•Explicit formulas for the joint signatures of two or more systems are given.•Signature-based decomposition of the joint reliability of several...

Dependent lifetimes | Multistate system | System joint signature | Semicoherent system | Reliability | COHERENT SYSTEMS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SHARED COMPONENTS | Analysis | Decomposition method | Mathematics - Probability | Dynamical Systems | Analysis of PDEs | Numerical Analysis | Probability | Algebraic Geometry | Mathematics | Optimization and Control | Statistics

Dependent lifetimes | Multistate system | System joint signature | Semicoherent system | Reliability | COHERENT SYSTEMS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SHARED COMPONENTS | Analysis | Decomposition method | Mathematics - Probability | Dynamical Systems | Analysis of PDEs | Numerical Analysis | Probability | Algebraic Geometry | Mathematics | Optimization and Control | Statistics

Journal Article

2017, ISBN 0691175292, xxii, 377 pages

An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in...

Mathematics

Mathematics

Book

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