Journal of High Energy Physics, ISSN 1126-6708, 11/2013, Volume 2013, Issue 11, pp. 1 - 34

We investigate the mapping of Dirac gaugino masses through regions of strong coupling, focussing on SQCD with an adjoint...

Superspaces | Supersymmetry Breaking | Extended Supersymmetry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | Extended supersymmetry | Supersymmetry breaking | Supersymmetry and duality | MEDIATION | PARTIAL BREAKING | MODEL | SYMMETRY | SUPERSPACE | N=2 SUPERSYMMETRY | DUALITY | SQCD | PHYSICS, PARTICLES & FIELDS | Fermions | Deformation mechanisms | Mathematical analysis | Scalars | Joining | Mathematical models | Mapping

Superspaces | Supersymmetry Breaking | Extended Supersymmetry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | Extended supersymmetry | Supersymmetry breaking | Supersymmetry and duality | MEDIATION | PARTIAL BREAKING | MODEL | SYMMETRY | SUPERSPACE | N=2 SUPERSYMMETRY | DUALITY | SQCD | PHYSICS, PARTICLES & FIELDS | Fermions | Deformation mechanisms | Mathematical analysis | Scalars | Joining | Mathematical models | Mapping

Journal Article

Mathematics of Operations Research, ISSN 0364-765X, 08/2006, Volume 31, Issue 3, pp. 544 - 561

We introduce an axiomatic definition of a conditional convex risk mapping and we derive its properties...

dynamic programming | risk | multistage stochastic programming | conjugate duality | stochastic optimization | Risk aversion | Mathematical theorems | Algebra | Conditional probabilities | Axioms | Mathematical constants | Mathematical functions | Dynamic programming | Topological spaces | Risk | Conjugate duality | Multistage stochastic programming | Stochastic optimization | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | COHERENT | STOCHASTIC-DOMINANCE | Research | Mappings (Mathematics) | Stochastic programming | Studies | Optimization techniques | Stochastic models | Risk assessment

dynamic programming | risk | multistage stochastic programming | conjugate duality | stochastic optimization | Risk aversion | Mathematical theorems | Algebra | Conditional probabilities | Axioms | Mathematical constants | Mathematical functions | Dynamic programming | Topological spaces | Risk | Conjugate duality | Multistage stochastic programming | Stochastic optimization | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | COHERENT | STOCHASTIC-DOMINANCE | Research | Mappings (Mathematics) | Stochastic programming | Studies | Optimization techniques | Stochastic models | Risk assessment

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 7/2014, Volume 2014, Issue 7, pp. 1 - 20

...) the space of ground states of strings on an associated mapping torus with T 2 fiber. The equivalence is deduced by studying the space of ground states of SL(2, ℤ...

Brane Dynamics in Gauge Theories | Duality in Gauge Field Theories | Topological Field Theories | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DUALITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Brane Dynamics in Gauge Theories | Duality in Gauge Field Theories | Topological Field Theories | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DUALITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Optics Express, ISSN 1094-4087, 09/2013, Volume 21, Issue 19, pp. 22974 - 22987

Photonic radio-frequency (RF) arbitrary waveform generation (AWG) based on spectral shaping and frequency-to-time mapping has received substantial attention...

FIBER | SPATIAL LIGHT MODULATORS | SHAPER | DUALITY | SYSTEMS | GENERATION | OPTICS | PULSES

FIBER | SPATIAL LIGHT MODULATORS | SHAPER | DUALITY | SYSTEMS | GENERATION | OPTICS | PULSES

Journal Article

SIAM journal on optimization, ISSN 1052-6234, 2004, Volume 14, Issue 4, pp. 1140 - 1162

In this paper, we study several issues related to the characterization of specific classes of multivariate quadratic mappings that are nonnegative over a given domain, with nonnegativity defined...

Robust optimization | Linear matrix inequalities | Convex cone | Biquadratic functions | MATHEMATICS, APPLIED | convex cone | linear matrix inequalities | STRONG DUALITY | robust optimization | ROBUST SOLUTIONS | CONSTRAINTS | RELAXATION | biquadratic functions | CONVEX-OPTIMIZATION

Robust optimization | Linear matrix inequalities | Convex cone | Biquadratic functions | MATHEMATICS, APPLIED | convex cone | linear matrix inequalities | STRONG DUALITY | robust optimization | ROBUST SOLUTIONS | CONSTRAINTS | RELAXATION | biquadratic functions | CONVEX-OPTIMIZATION

Journal Article

Physics in Medicine and Biology, ISSN 0031-9155, 11/2017, Volume 62, Issue 23, pp. 9067 - 9098

This paper proposes a method for primal-dual convex optimization in variational large deformation diffeomorphic metric mapping problems formulated with robust regularizers and robust image similarity metrics...

diffeomorphic registration | LDDMM | Fenchel-duality | multi-GPU | convex optimization | primal-dual | robust regularizer | PRINCIPAL GEODESIC ANALYSIS | DEMENTIA | PARALLEL TRANSPORT | STATISTICS | ENGINEERING, BIOMEDICAL | ALGORITHMS | SHAPE | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | IMAGE REGISTRATION | Brain - diagnostic imaging | Algorithms | Brain - anatomy & histology | Image Processing, Computer-Assisted - standards | Humans | Magnetic Resonance Imaging - methods | Adult | Female | Male | Databases, Factual | Radiographic Image Interpretation, Computer-Assisted - standards

diffeomorphic registration | LDDMM | Fenchel-duality | multi-GPU | convex optimization | primal-dual | robust regularizer | PRINCIPAL GEODESIC ANALYSIS | DEMENTIA | PARALLEL TRANSPORT | STATISTICS | ENGINEERING, BIOMEDICAL | ALGORITHMS | SHAPE | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | IMAGE REGISTRATION | Brain - diagnostic imaging | Algorithms | Brain - anatomy & histology | Image Processing, Computer-Assisted - standards | Humans | Magnetic Resonance Imaging - methods | Adult | Female | Male | Databases, Factual | Radiographic Image Interpretation, Computer-Assisted - standards

Journal Article

Topology and its Applications, ISSN 0166-8641, 05/2018, Volume 240, pp. 69 - 77

We prove an open mapping theorem for the topological spaces dual to finitely presented Heyting algebras...

Intuitionistic logic | Uniform interpolation | Esakia duality | Applied topology | Geometry and Topology | MATHEMATICS | MATHEMATICS, APPLIED

Intuitionistic logic | Uniform interpolation | Esakia duality | Applied topology | Geometry and Topology | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2006, Volume 321, Issue 1, pp. 316 - 326

Let E a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from E to E...

Nonexpansive nonself-mappings | Viscosity approximation | Weakly sequentially continuous duality mapping | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | nonexpansive nonself-mappings | fixed point | BANACH-SPACES | weakly sequentially continuous duality mapping | CONVERGENCE | viscosity approximation | FIXED-POINTS

Nonexpansive nonself-mappings | Viscosity approximation | Weakly sequentially continuous duality mapping | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | nonexpansive nonself-mappings | fixed point | BANACH-SPACES | weakly sequentially continuous duality mapping | CONVERGENCE | viscosity approximation | FIXED-POINTS

Journal Article

Physical Review Letters, ISSN 0031-9007, 2006, Volume 97, Issue 10, p. 100402

The Fermi-Bose mapping method for one-dimensional Bose and Fermi gases with zero-range interactions is generalized to an anyon-fermion mapping and applied to exact solution of several models...

FRACTIONAL STATISTICS | GROUND-STATE | PARTICLES | PHYSICS, MULTIDISCIPLINARY | BOSE-GAS | ONE DIMENSION | DUALITY | IMPENETRABLE BOSONS | TONKS-GIRARDEAU GAS | Physics - Soft Condensed Matter | WAVEGUIDES | BOSE-EINSTEIN GAS | SYMMETRY | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANYONS | FERMI GAS | EXACT SOLUTIONS | FERMIONS | MAPPING | ONE-DIMENSIONAL CALCULATIONS | GROUND STATES

FRACTIONAL STATISTICS | GROUND-STATE | PARTICLES | PHYSICS, MULTIDISCIPLINARY | BOSE-GAS | ONE DIMENSION | DUALITY | IMPENETRABLE BOSONS | TONKS-GIRARDEAU GAS | Physics - Soft Condensed Matter | WAVEGUIDES | BOSE-EINSTEIN GAS | SYMMETRY | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANYONS | FERMI GAS | EXACT SOLUTIONS | FERMIONS | MAPPING | ONE-DIMENSIONAL CALCULATIONS | GROUND STATES

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 2/2019, Volume 180, Issue 2, pp. 428 - 441

...) of the sum of two cone-closed and cone-convex set-valued mappings, under the Attouch–Brézis qualification condition...

Subdifferential | 90C29 | Mathematics | Theory of Computation | 90C26 | Set-valued vector optimization | Optimization | Optimality conditions | 90C46 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | Lagrange/Karush/Kuhn/Tucker multipliers | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Kuhn | MAPS | Lagrange | Karush | DUALITY | Tucker multipliers | Economic models | Lagrange multiplier | Nonlinear programming | Mathematical programming

Subdifferential | 90C29 | Mathematics | Theory of Computation | 90C26 | Set-valued vector optimization | Optimization | Optimality conditions | 90C46 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | Lagrange/Karush/Kuhn/Tucker multipliers | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Kuhn | MAPS | Lagrange | Karush | DUALITY | Tucker multipliers | Economic models | Lagrange multiplier | Nonlinear programming | Mathematical programming

Journal Article

Annals of the Alexandru Ioan Cuza University - Mathematics, ISSN 1221-8421, 01/2013, Volume LIX, Issue 1, pp. 103 - 112

In this note we establish some properties of Birkhoff orthogonality in terms of duality mapping...

duality mapping | subdifferential | linear operator preserving orthogonality | directional derivatives | Birkhoff orthogonality | semi-inner product | Linear operator preserving orthogonality | Semi-inner product | Duality mapping | Directional derivatives | Subdifferential | MATHEMATICS | NORMED SPACES | OPERATORS PRESERVING ORTHOGONALITY

duality mapping | subdifferential | linear operator preserving orthogonality | directional derivatives | Birkhoff orthogonality | semi-inner product | Linear operator preserving orthogonality | Semi-inner product | Duality mapping | Directional derivatives | Subdifferential | MATHEMATICS | NORMED SPACES | OPERATORS PRESERVING ORTHOGONALITY

Journal Article

Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 2009, Volume 10, Issue 4, pp. 2369 - 2383

Perturbation techniques for nonexpansive mappings are studied. An iterative algorithm involving perturbed mappings in a Banach space is proposed and proved to be strongly convergent to a fixed point of the original mapping...

Multiple-sets split feasibility problem | Duality map | Projection | Iterative algorithm | Split feasibility problem | Perturbation | Accretive operator | Nonexpansive mapping | Sunny nonexpansive retraction | Fixed point | MATHEMATICS, APPLIED | APPROXIMATION | ITERATIVE ALGORITHMS | THEOREMS | FIXED-POINTS | MONOTONE-OPERATORS | STRONG-CONVERGENCE | Methods | Algorithms

Multiple-sets split feasibility problem | Duality map | Projection | Iterative algorithm | Split feasibility problem | Perturbation | Accretive operator | Nonexpansive mapping | Sunny nonexpansive retraction | Fixed point | MATHEMATICS, APPLIED | APPROXIMATION | ITERATIVE ALGORITHMS | THEOREMS | FIXED-POINTS | MONOTONE-OPERATORS | STRONG-CONVERGENCE | Methods | Algorithms

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2009, Volume 228, Issue 1, pp. 212 - 218

We suggest an algorithm for a variational inequality with multi-valued mapping. The iteration sequence generated by the algorithm is proven to converge...

Multi-valued mapping | Pseudomonotone mapping | Generalized variational inequality | MATHEMATICS, APPLIED | MONOTONE | DUALITY | COMBINED RELAXATION METHOD | Algorithms | Equality

Multi-valued mapping | Pseudomonotone mapping | Generalized variational inequality | MATHEMATICS, APPLIED | MONOTONE | DUALITY | COMBINED RELAXATION METHOD | Algorithms | Equality

Journal Article

1990, Mathematics and it applications, ISBN 0792309103, Volume 62, xiv, 260

Book

Mathematical and Computer Modelling, ISSN 0895-7177, 2011, Volume 54, Issue 9, pp. 2423 - 2427

Let K be a nonempty closed convex subset of a real reflexive Banach space X that has weakly sequentially continuous duality mapping J φ for some gauge φ . Let T i : K...

Multivalued nonexpansive mapping | Common fixed point | Weakly sequentially continuous duality mapping | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | THEOREMS | BANACH

Multivalued nonexpansive mapping | Common fixed point | Weakly sequentially continuous duality mapping | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | THEOREMS | BANACH

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 04/2008, Volume 2008, Issue 4

...) mapping class group of the three-torus. We perform a detailed study of the S-dual pairs of theories with gauge groups Spin(2n+1) and Sp(2n...

Discrete and finite symmetries | Extended supersymmetry | Supersymmetric gauge theory | Duality in gauge field theories | GAUGE-THEORIES | BOUND-STATES | duality in gauge field theories | supersymmetric gauge theory | discrete and finite symmetries | MONOPOLES | extended supersymmetry | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Discrete and finite symmetries | Extended supersymmetry | Supersymmetric gauge theory | Duality in gauge field theories | GAUGE-THEORIES | BOUND-STATES | duality in gauge field theories | supersymmetric gauge theory | discrete and finite symmetries | MONOPOLES | extended supersymmetry | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/1998, Volume 224, Issue 1, pp. 91 - 101

...=fand the convergence problem of Ishikawa and Mann iterative sequences for strongly pseudo-contractive mappings without the Lipschitz condition...

duality mapping | strongly pseudo-contractive mapping | Mann iteration sequence | uniformly smooth Banach space | Ishikawa iteration sequence | strongly accretive mapping | Duality mapping; uniformly smooth Banach space; Mann iteration sequence; Ishikawa iteration sequence; strongly accretive mapping; strongly pseudo-contractive mapping | MATHEMATICS | MATHEMATICS, APPLIED | APPROXIMATION | PSEUDOCONTRACTIVE MAPPINGS | SMOOTH BANACH-SPACES | LIPSCHITZIAN

duality mapping | strongly pseudo-contractive mapping | Mann iteration sequence | uniformly smooth Banach space | Ishikawa iteration sequence | strongly accretive mapping | Duality mapping; uniformly smooth Banach space; Mann iteration sequence; Ishikawa iteration sequence; strongly accretive mapping; strongly pseudo-contractive mapping | MATHEMATICS | MATHEMATICS, APPLIED | APPROXIMATION | PSEUDOCONTRACTIVE MAPPINGS | SMOOTH BANACH-SPACES | LIPSCHITZIAN

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 13

... mapping in Banach spaces. The weak convergence of the iterative sequence generated by the algorithm is also proved...

normalized duality mapping | weakly sequentially continuous | Mathematics | generalized projection | maximal monotone mapping | resolvent technique | Analysis | 47H09 | Mathematics, general | 47J05 | Applications of Mathematics | 47H05 | 47J25 | 47H06 | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | PROXIMAL POINT ALGORITHM | M-ACCRETIVE OPERATORS | ZEROS | Algorithms | Approximation | Half spaces | Inequalities | Projection | Mapping | Banach space | Convergence

normalized duality mapping | weakly sequentially continuous | Mathematics | generalized projection | maximal monotone mapping | resolvent technique | Analysis | 47H09 | Mathematics, general | 47J05 | Applications of Mathematics | 47H05 | 47J25 | 47H06 | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | PROXIMAL POINT ALGORITHM | M-ACCRETIVE OPERATORS | ZEROS | Algorithms | Approximation | Half spaces | Inequalities | Projection | Mapping | Banach space | Convergence

Journal Article

Geometric and Functional Analysis, ISSN 1016-443X, 9/2008, Volume 18, Issue 3, pp. 657 - 667

We characterize the duality of convex bodies in d-dimensional Euclidean vector space, viewed as a mapping from the space of convex bodies containing the origin in the interior into the same space...

52A20 | Mathematics | Duality of convex bodies | Analysis | polar convex body | lattice endomorphism | Polar convex body | Lattice endomorphism | MATHEMATICS | duality of convex bodies | ENDOMORPHISMS | LATTICE

52A20 | Mathematics | Duality of convex bodies | Analysis | polar convex body | lattice endomorphism | Polar convex body | Lattice endomorphism | MATHEMATICS | duality of convex bodies | ENDOMORPHISMS | LATTICE

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 9/2015, Volume 109, Issue 2, pp. 407 - 416

We use the preduality mapping in proving characterizations of some geometric properties of Banach spaces...

Usco mapping | Theoretical, Mathematical and Computational Physics | Mathematics | Nearly strongly convex space | Nearly uniformly convex space | Pre-duality mapping | Nearly very convex space | alpha $$ α -upper semi-continuity | Secondary 46E30 | Primary 46B20 | Mathematics, general | Applications of Mathematics | Duality mapping | α-upper semi-continuity | MATHEMATICS | alpha-upper semi-continuity | DROP PROPERTY

Usco mapping | Theoretical, Mathematical and Computational Physics | Mathematics | Nearly strongly convex space | Nearly uniformly convex space | Pre-duality mapping | Nearly very convex space | alpha $$ α -upper semi-continuity | Secondary 46E30 | Primary 46B20 | Mathematics, general | Applications of Mathematics | Duality mapping | α-upper semi-continuity | MATHEMATICS | alpha-upper semi-continuity | DROP PROPERTY

Journal Article

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