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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
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
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
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
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
Journal Article
Proceedings of the National Academy of Sciences - PNAS, ISSN 1091-6490, 2016, Volume 113, Issue 8, pp. 2035 - 2040
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
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
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
Journal Article
Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 15
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
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
Journal Article
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
Journal Article