数学学报：英文版, ISSN 1439-8516, 2016, Volume 32, Issue 7, pp. 783 - 796

In this paper, we introduce the fractional wavelet transformations （FrWT） involving Han- kel-Clifford integral transformation （HCIIT...

小波变换 | 反演公式 | Hankel | 小波包变换 | 积分变换 | 分数阶 | 性质 | 42A85 | fractional Hankel–Clifford integral convolution | 47B35 | wavelet | Mathematics, general | fractional Hankel–Clifford integral transformation | Mathematics | Wavelet packet transformation | 65T60 | MATHEMATICS | MATHEMATICS, APPLIED | fractional Hankel-Clifford integral transformation | fractional Hankel-Clifford integral convolution | Studies | Wavelet transforms | Theorems | Mathematical models | Wavelet | Transformations | Transformations (mathematics) | Formulas (mathematics) | Inversions | Integral transformations

小波变换 | 反演公式 | Hankel | 小波包变换 | 积分变换 | 分数阶 | 性质 | 42A85 | fractional Hankel–Clifford integral convolution | 47B35 | wavelet | Mathematics, general | fractional Hankel–Clifford integral transformation | Mathematics | Wavelet packet transformation | 65T60 | MATHEMATICS | MATHEMATICS, APPLIED | fractional Hankel-Clifford integral transformation | fractional Hankel-Clifford integral convolution | Studies | Wavelet transforms | Theorems | Mathematical models | Wavelet | Transformations | Transformations (mathematics) | Formulas (mathematics) | Inversions | Integral transformations

Journal Article

Studies in Applied Mathematics, ISSN 0022-2526, 02/2018, Volume 140, Issue 2, pp. 178 - 201

...–Stewartson equations, were proposed and studied. Here, we show that many of such nonlocal integrable equations can be converted to local integrable equations through simple variable transformations...

MATHEMATICS, APPLIED | SYSTEMS | INVERSE SCATTERING METHOD | WAVES | SOLITON-SOLUTIONS | NONLINEAR SCHRODINGER-EQUATION

MATHEMATICS, APPLIED | SYSTEMS | INVERSE SCATTERING METHOD | WAVES | SOLITON-SOLUTIONS | NONLINEAR SCHRODINGER-EQUATION

Journal Article

1992, Monographs and textbooks in pure and applied mathematics, ISBN 0824782526, Volume 162., xv, 825

Book

International journal of modern physics. A, Particles and fields, gravitation, cosmology, ISSN 1793-656X, 2014, Volume 29, Issue 27, p. 1450159

We introduce the notion of finite BRST–anti-BRST transformations for constrained dynamical systems in the generalized Hamiltonian formalism, both global and field-dependent, with a doublet λ...

Constrained dynamical systems | Yang-Mills theory | BRST-anti-BRST generalized Hamiltonian quantization | Field-dependent BRST-anti-BRST transformations | GAUGE-THEORIES | YANG-MILLS | FRAMEWORK | SYSTEMS | PHYSICS, NUCLEAR | SP-COVARIANT QUANTIZATION | field-dependent BRST-anti-BRST transformations | PHYSICS, PARTICLES & FIELDS

Constrained dynamical systems | Yang-Mills theory | BRST-anti-BRST generalized Hamiltonian quantization | Field-dependent BRST-anti-BRST transformations | GAUGE-THEORIES | YANG-MILLS | FRAMEWORK | SYSTEMS | PHYSICS, NUCLEAR | SP-COVARIANT QUANTIZATION | field-dependent BRST-anti-BRST transformations | PHYSICS, PARTICLES & FIELDS

Journal Article

IEEE transactions on power systems, ISSN 1558-0679, 2018, Volume 33, Issue 2, pp. 2219 - 2229

.... What reasonable choices do we have then? To address this issue, we evaluate 16 variance stabilizing transformations within a comprehensive forecasting study involving two model classes...

Diebold-mariano test | Europe | Transforms | Predictive models | Benchmark testing | variance stabilizing transformation | Power markets | Indexes | Forecasting | electricity spot price | price spike | probability integral transform | forecasting | NEURAL-NETWORKS | MARKET | TIME-SERIES MODELS | ENGINEERING, ELECTRICAL & ELECTRONIC | Integral equations | Research

Diebold-mariano test | Europe | Transforms | Predictive models | Benchmark testing | variance stabilizing transformation | Power markets | Indexes | Forecasting | electricity spot price | price spike | probability integral transform | forecasting | NEURAL-NETWORKS | MARKET | TIME-SERIES MODELS | ENGINEERING, ELECTRICAL & ELECTRONIC | Integral equations | Research

Journal Article

Progress in Electromagnetics Research, ISSN 1070-4698, 2015, Volume 151, pp. 127 - 150

Electromagnetic field transformations are important for electromagnetic simulations and for measurements...

PHYSICS, APPLIED | INVERSE EQUIVALENT CURRENT | RECONSTRUCTION | ALGORITHM | PLANAR NEAR-FIELD | FAST MULTIPOLE METHOD | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | INTEGRAL-EQUATION | EXPANSION | FINITE-ELEMENT | SCATTERING | SURFACES

PHYSICS, APPLIED | INVERSE EQUIVALENT CURRENT | RECONSTRUCTION | ALGORITHM | PLANAR NEAR-FIELD | FAST MULTIPOLE METHOD | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | INTEGRAL-EQUATION | EXPANSION | FINITE-ELEMENT | SCATTERING | SURFACES

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 04/2013, Volume 46, Issue 14, pp. 145203 - 16

In this work we show that, under certain conditions, parametric Backlund transformations for a finite dimensional integrable system can be interpreted as solutions to the equations of motion defined...

HIROTA-KIMURA-TYPE | TOP | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | INTEGRABLE SYSTEMS | DISCRETIZATIONS | Transformations (mathematics) | Integrals | Mathematical analysis | Lattices | Spectral lines | Constants | Mathematical models | Equations of motion | Iterative methods

HIROTA-KIMURA-TYPE | TOP | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | INTEGRABLE SYSTEMS | DISCRETIZATIONS | Transformations (mathematics) | Integrals | Mathematical analysis | Lattices | Spectral lines | Constants | Mathematical models | Equations of motion | Iterative methods

Journal Article

Proceedings of the National Academy of Sciences - PNAS, ISSN 1091-6490, 2016, Volume 113, Issue 8, pp. 2035 - 2040

We prove that any regular integral invariant of volume-preserving transformations is equivalent to the helicity...

Volume-preserving transformation | Integral invariant | Helicity | FIELDS | helicity | volume-preserving transformation | EULER EQUATION | integral invariant | MULTIDISCIPLINARY SCIENCES | Transformations (Mathematics) | Research | Fluid dynamics | Integrals | Mathematical research | Physical Sciences

Volume-preserving transformation | Integral invariant | Helicity | FIELDS | helicity | volume-preserving transformation | EULER EQUATION | integral invariant | MULTIDISCIPLINARY SCIENCES | Transformations (Mathematics) | Research | Fluid dynamics | Integrals | Mathematical research | Physical Sciences

Journal Article

Fuzzy sets and systems, ISSN 0165-0114, 2016, Volume 291, pp. 40 - 53

We propose the concepts of superadditive and of subadditive transformations of aggregation functions acting on non-negative reals, in particular of integrals with respect to monotone measures...

Superadditive and subadditive transformations | Aggregation function | Fuzzy integrals | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | Management science | Business schools | Transformations (mathematics) | Integrals | Transforms | Links | Transformations | Fuzzy set theory | Agglomeration

Superadditive and subadditive transformations | Aggregation function | Fuzzy integrals | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | Management science | Business schools | Transformations (mathematics) | Integrals | Transforms | Links | Transformations | Fuzzy set theory | Agglomeration

Journal Article

2012, Contemporary mathematics, ISBN 0821875841, Volume 563, ix, 211

Book

Soft Computing, ISSN 1432-7643, 10/2018, Volume 22, Issue 19, pp. 6291 - 6297

We discuss and study several kinds of capacity transformations based on a given event B and a fixed implication function...

Engineering | Transformation | Computational Intelligence | Control, Robotics, Mechatronics | Capacity | Artificial Intelligence (incl. Robotics) | Invariantness | Implication | Mathematical Logic and Foundations | INTEGRALS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Computer science

Engineering | Transformation | Computational Intelligence | Control, Robotics, Mechatronics | Capacity | Artificial Intelligence (incl. Robotics) | Invariantness | Implication | Mathematical Logic and Foundations | INTEGRALS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Computer science

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 06/2019, Volume 147, Issue 6, pp. 2349 - 2363

... of the classical _2F_1 function. Based on a q-series transformation formula and the Nassrallah-Rahman integral we prove a q-beta integral which has twelve parameters, with several other results, both classical and new, included as special cases...

MATHEMATICS | MATHEMATICS, APPLIED | Askey-Wilson polynomials | q-beta integral | Nassrallah-Rahman integral | Askey-Wilson integral

MATHEMATICS | MATHEMATICS, APPLIED | Askey-Wilson polynomials | q-beta integral | Nassrallah-Rahman integral | Askey-Wilson integral

Journal Article

Nonlinear dynamics, ISSN 1573-269X, 2015, Volume 83, Issue 3, pp. 1199 - 1215

... Bell’s polynomials scheme. Its bilinear equation, N-soliton solution and Bäcklund transformation with explicit formulas are successfully structured, which can be reduced to the analogues of (3+1...

Engineering | Vibration, Dynamical Systems, Control | A generalized (3+1)-dimensional nonlinear wave equation | Soliton solution | Infinite conservation laws | Bäcklund transformation | Mechanics | Bell’s polynomials | Automotive Engineering | Mechanical Engineering | Periodic wave solution | SYSTEM | 1-SOLITON SOLUTION | MODEL | ENGINEERING, MECHANICAL | MECHANICS | EVOLUTION | SOLITONS | BILINEAR EQUATIONS | KDV EQUATION | Backlund transformation | RATIONAL CHARACTERISTICS | Bell's polynomials | Environmental law | Conservation laws | Bubbles | Nonlinear phenomena | Transformations (mathematics) | Integral equations | Wave equations | Polynomials | Fluxes | Solitary waves

Engineering | Vibration, Dynamical Systems, Control | A generalized (3+1)-dimensional nonlinear wave equation | Soliton solution | Infinite conservation laws | Bäcklund transformation | Mechanics | Bell’s polynomials | Automotive Engineering | Mechanical Engineering | Periodic wave solution | SYSTEM | 1-SOLITON SOLUTION | MODEL | ENGINEERING, MECHANICAL | MECHANICS | EVOLUTION | SOLITONS | BILINEAR EQUATIONS | KDV EQUATION | Backlund transformation | RATIONAL CHARACTERISTICS | Bell's polynomials | Environmental law | Conservation laws | Bubbles | Nonlinear phenomena | Transformations (mathematics) | Integral equations | Wave equations | Polynomials | Fluxes | Solitary waves

Journal Article

Integral transforms and special functions, ISSN 1065-2469, 1993

Journal

AIChE Journal, ISSN 0001-1541, 12/2015, Volume 61, Issue 12, pp. 4264 - 4269

.... To mitigate such disadvantages, new nonlinear PI controllers that introduce output transformations are proposed...

process control | process | simulation | Simulation | Process control | Process | ENGINEERING, CHEMICAL | DESIGN | FEEDBACK-CONTROL | SYSTEMS | MODEL | RULES | Controllers | Nonlinearity | Transformations | Chemical engineers | Integrals | Proportional integral

process control | process | simulation | Simulation | Process control | Process | ENGINEERING, CHEMICAL | DESIGN | FEEDBACK-CONTROL | SYSTEMS | MODEL | RULES | Controllers | Nonlinearity | Transformations | Chemical engineers | Integrals | Proportional integral

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 15

In the article, we present several quadratic transformation inequalities for Gaussian hypergeometric function and find the analogs of duplication inequalities...

26D20 | Analysis | Quadratic transformation | Generalized Grötzsch ring function | Duplication inequality | Hypergeometric function | Mathematics, general | Mathematics | Applications of Mathematics | 33C05 | MATHEMATICS | MATHEMATICS, APPLIED | RESPECT | SERIES | BOUNDS | Generalized Grotzsch ring function | GENERALIZED ELLIPTIC INTEGRALS | LANDEN INEQUALITIES | Hypergeometric functions | Transformations | Inequalities | Research

26D20 | Analysis | Quadratic transformation | Generalized Grötzsch ring function | Duplication inequality | Hypergeometric function | Mathematics, general | Mathematics | Applications of Mathematics | 33C05 | MATHEMATICS | MATHEMATICS, APPLIED | RESPECT | SERIES | BOUNDS | Generalized Grotzsch ring function | GENERALIZED ELLIPTIC INTEGRALS | LANDEN INEQUALITIES | Hypergeometric functions | Transformations | Inequalities | Research

Journal Article

Journal of Cosmology and Astroparticle Physics, ISSN 1475-7516, 01/2016, Volume 2016, Issue 1, p. 015

We select f(R) gravity models that undergo scale factor duality transformations. As a starting point, we consider the tree-level effective gravitational action of bosonic String Theory coupled with the dilaton field...

modified gravity | quantum cosmology | string theory and cosmology | PRE-BIG-BANG | COSMOLOGY | MODELS | QUANTUM | ASTRONOMY & ASTROPHYSICS | EXTENDED THEORIES | PHYSICS, PARTICLES & FIELDS | Physics | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | RICCI TENSOR | METRICS | LAGRANGIAN FUNCTION | STRING THEORY | MATHEMATICAL SOLUTIONS | PARITY | SYMMETRY | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | SCALARS | DILATONS | GRAVITATION | DUALITY | ACTION INTEGRAL | TRANSFORMATIONS

modified gravity | quantum cosmology | string theory and cosmology | PRE-BIG-BANG | COSMOLOGY | MODELS | QUANTUM | ASTRONOMY & ASTROPHYSICS | EXTENDED THEORIES | PHYSICS, PARTICLES & FIELDS | Physics | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | RICCI TENSOR | METRICS | LAGRANGIAN FUNCTION | STRING THEORY | MATHEMATICAL SOLUTIONS | PARITY | SYMMETRY | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | SCALARS | DILATONS | GRAVITATION | DUALITY | ACTION INTEGRAL | TRANSFORMATIONS

Journal Article

Journal of Mathematical Physics, ISSN 1089-7658, 2011, Volume 52, Issue 2, pp. 022301 - 022301-19

We develop the off-shell nilpotent finite field dependent Becchi–Rouet–Stora–Tyutin (BRST) transformations and show that for different choices of the finite...

GAUGES | SYMMETRY | GREENS-FUNCTIONS | 1/(ETA-CENTER-DOT-K)(P) SINGULARITIES | PHYSICS, MATHEMATICAL | CORRECT TREATMENT | INTEGRALS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | YANG-MILLS THEORY | SUPERSYMMETRY | PATH INTEGRALS | FUNCTIONS | FUNCTIONALS | TRANSFORMATIONS

GAUGES | SYMMETRY | GREENS-FUNCTIONS | 1/(ETA-CENTER-DOT-K)(P) SINGULARITIES | PHYSICS, MATHEMATICAL | CORRECT TREATMENT | INTEGRALS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | YANG-MILLS THEORY | SUPERSYMMETRY | PATH INTEGRALS | FUNCTIONS | FUNCTIONALS | TRANSFORMATIONS

Journal Article

Communications in nonlinear science & numerical simulation, ISSN 1007-5704, 2018, Volume 64, pp. 232 - 245

....•To apply the method to prove the existence of 3-periodic points of a Landen transformation previously studied by Boros, Chamberland and Moll, disproving a conjecture on the dynamics of this planar map...

Landen transformation | Periodic points | Poincaré–Miranda theorem | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | THEOREM | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | Poincare-Miranda theorem | Mathematics - Dynamical Systems | Sistemes dinàmics | Differentiable dynamical systems | 37 Dynamical systems and ergodic theory | Poincaré-Miranda theorem | Classificació AMS | Equacions diferencials i integrals | Sistemes dinàmics diferenciables | 33 Special functions | Matemàtiques i estadística | Landen transformations | 33E Other special functions | 37C Smooth dynamical systems: general theory | Àrees temàtiques de la UPC

Landen transformation | Periodic points | Poincaré–Miranda theorem | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | THEOREM | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | Poincare-Miranda theorem | Mathematics - Dynamical Systems | Sistemes dinàmics | Differentiable dynamical systems | 37 Dynamical systems and ergodic theory | Poincaré-Miranda theorem | Classificació AMS | Equacions diferencials i integrals | Sistemes dinàmics diferenciables | 33 Special functions | Matemàtiques i estadística | Landen transformations | 33E Other special functions | 37C Smooth dynamical systems: general theory | Àrees temàtiques de la UPC

Journal Article

20.
Full Text
A series of Duffy-distance transformation for integrating 2D and 3D vertex singularities

International journal for numerical methods in engineering, ISSN 0029-5981, 2019, Volume 118, Issue 1, pp. 38 - 60

..., especially for the 3D case. In this paper, we reveal the near singularities caused by distorted integral patch/cell shape numerically and theoretically during the implementation of generalized Duffy transformation, and the Duffy...

vertex singularity | numerical quadrature | near singularity | distance transformation | Duffy transformation | DISCONTINUITIES | IMPLEMENTATION | NUMERICAL EVALUATION | SINH TRANSFORMATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | X-FEM | GROWTH | QUADRATURE | FINITE-ELEMENT-METHOD | CRACK SINGULARITIES | BOUNDARY INTEGRALS | Finite element method | Singularities | Robustness (mathematics) | Mathematical analysis | Triangles | Tetrahedrons | Transformations | Preconditioning

vertex singularity | numerical quadrature | near singularity | distance transformation | Duffy transformation | DISCONTINUITIES | IMPLEMENTATION | NUMERICAL EVALUATION | SINH TRANSFORMATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | X-FEM | GROWTH | QUADRATURE | FINITE-ELEMENT-METHOD | CRACK SINGULARITIES | BOUNDARY INTEGRALS | Finite element method | Singularities | Robustness (mathematics) | Mathematical analysis | Triangles | Tetrahedrons | Transformations | Preconditioning

Journal Article