2015, Series in contemporary applied mathematics, ISBN 9789814675765, Volume 19, vii, 137 pages

Book

2019, 1, ISBN 9781138333017, 212

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions...

Advanced Mathematics | Proofs | Functional Analysis | Mathematical Physics | Differential Equations | Number Theory | Trigonometry | Pure Mathematics | Mathematical Analysis | Advanced Topics | Exponential functions | Hyperbola

Advanced Mathematics | Proofs | Functional Analysis | Mathematical Physics | Differential Equations | Number Theory | Trigonometry | Pure Mathematics | Mathematical Analysis | Advanced Topics | Exponential functions | Hyperbola

eBook

Journal of inequalities and applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 12

In this paper, we obtain some new sharp bounds for the exponential functions whose powers involve hyperbolic functions and circular functions, respectively.

Analysis | 33B10 | Inequalities | Mathematics, general | Mathematics | Applications of Mathematics | Hyperbolic functions | Circular functions | 26D15 | 26D05 | Physical Sciences | Mathematics, Applied | Science & Technology | Exponential functions

Analysis | 33B10 | Inequalities | Mathematics, general | Mathematics | Applications of Mathematics | Hyperbolic functions | Circular functions | 26D15 | 26D05 | Physical Sciences | Mathematics, Applied | Science & Technology | Exponential functions

Journal Article

International journal of approximate reasoning, ISSN 0888-613X, 02/2012, Volume 53, Issue 2, pp. 212 - 227

► We propose the “mixtures of truncated basis functions”-framework for hybrid BNs...

Inference | Mixtures of truncated exponentials | Hybrid Bayesian networks | Approximations | Mixtures of truncated basis functions | Computer Science, Artificial Intelligence | Technology | Computer Science | Science & Technology | Networks | Approximation | Basis functions | Mathematical analysis | Mopping | On-line systems | Density | Translations

Inference | Mixtures of truncated exponentials | Hybrid Bayesian networks | Approximations | Mixtures of truncated basis functions | Computer Science, Artificial Intelligence | Technology | Computer Science | Science & Technology | Networks | Approximation | Basis functions | Mathematical analysis | Mopping | On-line systems | Density | Translations

Journal Article

Thermochimica acta, ISSN 0040-6031, 07/2013, Volume 564, pp. 59 - 69

....•Three new methods are proposed to compute the function that describes the reaction mechanism...

Solid-state chemistry | Isoconversional methods | Pre-exponential factor | Reaction model | Multi-step kinetics | Thermodynamics | Physical Sciences | Chemistry | Chemistry, Analytical | Chemistry, Physical | Science & Technology | Computer simulation | Computation | Integrals | Mathematical analysis | Compensation | Reaction kinetics | Mathematical models | Reaction mechanisms

Solid-state chemistry | Isoconversional methods | Pre-exponential factor | Reaction model | Multi-step kinetics | Thermodynamics | Physical Sciences | Chemistry | Chemistry, Analytical | Chemistry, Physical | Science & Technology | Computer simulation | Computation | Integrals | Mathematical analysis | Compensation | Reaction kinetics | Mathematical models | Reaction mechanisms

Journal Article

Journal of biogeography, ISSN 1365-2699, 10/2009, Volume 36, Issue 10, pp. 1994 - 2004

Aim: Numerous functions have been proposed to describe the species-area relationship but despite almost a century of curve-fitting there is little agreement on which is...

Conservation biology | Ecological modeling | Asymptotes | The Species-Area Relationship | Biogeography | Mathematical independent variables | Species | Parametric models | Modeling | Applied ecology | Power functions | generalized linear model | Morgan–Mercer–Flodin | Weibull function | logistic | MONOD | beta‐P | EVF | negative exponential | Chapman–Richards | AIC | Chapman-Richards | Generalized linear model | Morgan-Mercer-Flodin | Beta-P | Logistic | Negative exponential | Physical Sciences | Life Sciences & Biomedicine | Physical Geography | Geography, Physical | Environmental Sciences & Ecology | Ecology | Science & Technology | Models | Ecosystems | Analysis

Conservation biology | Ecological modeling | Asymptotes | The Species-Area Relationship | Biogeography | Mathematical independent variables | Species | Parametric models | Modeling | Applied ecology | Power functions | generalized linear model | Morgan–Mercer–Flodin | Weibull function | logistic | MONOD | beta‐P | EVF | negative exponential | Chapman–Richards | AIC | Chapman-Richards | Generalized linear model | Morgan-Mercer-Flodin | Beta-P | Logistic | Negative exponential | Physical Sciences | Life Sciences & Biomedicine | Physical Geography | Geography, Physical | Environmental Sciences & Ecology | Ecology | Science & Technology | Models | Ecosystems | Analysis

Journal Article

2014, Wiley series in probability and statistics, ISBN 1118857283, 250

.... His treatise brings together results on aspects of statistical information, notably concerning likelihood functions, plausibility functions, ancillarity, and sufficiency, and on exponential families...

Sufficient statistics | Exponential functions | Distribution (Probability theory) | Exponential families (Statistics)

Sufficient statistics | Exponential functions | Distribution (Probability theory) | Exponential families (Statistics)

eBook

European journal of operational research, ISSN 0377-2217, 10/2016, Volume 254, Issue 1, pp. 312 - 319

•We link the hyperbolic distance function to the directional distance function.•We provide an algorithm for calculating the value of hyperbolic distance functions...

Hyperbolic distance function | Directional distance function | Efficiency measurement | Data envelopment analysis | Business & Economics | Operations Research & Management Science | Social Sciences | Management | Technology | Science & Technology | Functions, Exponential | Analysis | Algorithms | Linear programming | Models | Economics | Computation | Mathematical analysis | Estimating | Mathematical models | Operational research | Optimization

Hyperbolic distance function | Directional distance function | Efficiency measurement | Data envelopment analysis | Business & Economics | Operations Research & Management Science | Social Sciences | Management | Technology | Science & Technology | Functions, Exponential | Analysis | Algorithms | Linear programming | Models | Economics | Computation | Mathematical analysis | Estimating | Mathematical models | Operational research | Optimization

Journal Article

1906, Translations of mathematical monographs, Volume 4., 77

Book

Proceedings of the American Mathematical Society, ISSN 0002-9939, 07/2013, Volume 141, Issue 7, pp. 2401 - 2410

Using the q-exponential function. Based on this concept, we derive a number of identities involving the Jacobi theta functions...

Jacobi theta functions | q-exponential function | q-sine function | Duplication formulae | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Jacobi theta functions | q-exponential function | q-sine function | Duplication formulae | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

1906, 4Th ed., enl., Mathematical monographs, no. 4

eBook

Linear algebra and its applications, ISSN 0024-3795, 03/2013, Volume 438, Issue 5, pp. 2447 - 2474

The notions of subgraph centrality and communicability, based on the exponential of the adjacency matrix of the underlying graph, have been effectively used in...

HITS | Gauss quadrature | Centrality | Directed networks | Authorities | Pagerank | Communicability | Hubs | Bipartite graphs | Matrix exponential | Digraphs | Katz | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Computer science | Analysis | Algorithms

HITS | Gauss quadrature | Centrality | Directed networks | Authorities | Pagerank | Communicability | Hubs | Bipartite graphs | Matrix exponential | Digraphs | Katz | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Computer science | Analysis | Algorithms

Journal Article

Journal of inequalities and applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 11

In the present paper, we investigate majorization properties for the class
Mβα(p,γ)
$M_{\beta}^{\alpha}(p,\gamma)$ of uniformly starlike functions and the class
N...

Subordination | 30C45 | Liu–Owa integral operator | Analysis | Majorization | Mathematics, general | Mathematics | Analytic function | Applications of Mathematics | 30C80 | Exponential function | Physical Sciences | Mathematics, Applied | Science & Technology | Operators (mathematics) | Exponential functions | Analytic functions | Mathematical analysis | Integrals | Research

Subordination | 30C45 | Liu–Owa integral operator | Analysis | Majorization | Mathematics, general | Mathematics | Analytic function | Applications of Mathematics | 30C80 | Exponential function | Physical Sciences | Mathematics, Applied | Science & Technology | Operators (mathematics) | Exponential functions | Analytic functions | Mathematical analysis | Integrals | Research

Journal Article

Neural networks, ISSN 0893-6080, 12/2016, Volume 84, pp. 39 - 46

...–Grossberg neural networks with Markovian switching. By using the vector Lyapunov function and property of M-matrix, two generalized Halanay inequalities are established...

Cohen–Grossberg neural network | Halanay inequality | [formula omitted]-matrix | Time delay | Exponential input-to-state stability | Markovian switching | M-matrix | Neurosciences | Life Sciences & Biomedicine | Technology | Computer Science | Computer Science, Artificial Intelligence | Neurosciences & Neurology | Science & Technology | Markov Chains | Algorithms | Time Factors | Computer Simulation | Neural Networks (Computer) | Neural networks | Index Medicus

Cohen–Grossberg neural network | Halanay inequality | [formula omitted]-matrix | Time delay | Exponential input-to-state stability | Markovian switching | M-matrix | Neurosciences | Life Sciences & Biomedicine | Technology | Computer Science | Computer Science, Artificial Intelligence | Neurosciences & Neurology | Science & Technology | Markov Chains | Algorithms | Time Factors | Computer Simulation | Neural Networks (Computer) | Neural networks | Index Medicus

Journal Article

IEEE Transactions on Computers, ISSN 0018-9340, 12/2017, Volume 66, Issue 12, pp. 2044 - 2057

The 2008 revision of the IEEE-754 standard, which governs floating-point arithmetic, recommends that a certain set of elementary functions should be correctly rounded...

function evaluation | Memory management | Ziv strategy | elementary function | exponential sums | Probabilistic logic | Floating point arithmetic | Function approximation | Correct rounding | Engineering, Electrical & Electronic | Engineering | Computer Science, Hardware & Architecture | Technology | Computer Science | Science & Technology | Usage | Memory refresh (Computers) | Memory compaction | Research | Memory partitioning | Exponential sums | Memory protection | Memory mapping | Floating-point arithmetic | Number theory | Mathematical problems | Mathematical analysis | Mathematical functions | Rounding | Heuristic | Sums | Computer Arithmetic

function evaluation | Memory management | Ziv strategy | elementary function | exponential sums | Probabilistic logic | Floating point arithmetic | Function approximation | Correct rounding | Engineering, Electrical & Electronic | Engineering | Computer Science, Hardware & Architecture | Technology | Computer Science | Science & Technology | Usage | Memory refresh (Computers) | Memory compaction | Research | Memory partitioning | Exponential sums | Memory protection | Memory mapping | Floating-point arithmetic | Number theory | Mathematical problems | Mathematical analysis | Mathematical functions | Rounding | Heuristic | Sums | Computer Arithmetic

Journal Article