1990, ISBN 0198563329, xiii, 304

Book

Mathematical programming, ISSN 1436-4646, 2018, Volume 175, Issue 1-2, pp. 69 - 107

The standard assumption for proving linear convergence of first order methods for smooth convex optimization is the strong convexity of the objective function,...

Mathematical Methods in Physics | 65K05 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 90C06 | Mathematics | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Methods | Management science | Linear systems | Formulations | Linear programming | Convexity | Convex analysis | Continuity (mathematics) | Optimization | Convergence

Mathematical Methods in Physics | 65K05 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 90C06 | Mathematics | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Methods | Management science | Linear systems | Formulations | Linear programming | Convexity | Convex analysis | Continuity (mathematics) | Optimization | Convergence

Journal Article

Journal of hyperbolic differential equations, ISSN 0219-8916, 06/2013, Volume 10, Issue 2, pp. 235 - 282

We prove quantitative estimates on flows of ordinary differential equations with vector field with gradient given by a singular integral of an L-1 function....

continuity equation | maximal functions | regular Lagrangian flow | singular integrals | Ordinary differential equations with nonsmooth vector fields | transport equation | MATHEMATICS, APPLIED | TRANSPORT-EQUATIONS | SPACES | CAUCHY-PROBLEM | DIFFERENTIAL-EQUATIONS | PHYSICS, MATHEMATICAL | UNIQUENESS | DIPERNA-LIONS FLOW | REGULARITY | Transport equations | Integrals | Mathematical analysis | Uniqueness | Differential equations | Continuity | Vectors (mathematics) | Estimates

continuity equation | maximal functions | regular Lagrangian flow | singular integrals | Ordinary differential equations with nonsmooth vector fields | transport equation | MATHEMATICS, APPLIED | TRANSPORT-EQUATIONS | SPACES | CAUCHY-PROBLEM | DIFFERENTIAL-EQUATIONS | PHYSICS, MATHEMATICAL | UNIQUENESS | DIPERNA-LIONS FLOW | REGULARITY | Transport equations | Integrals | Mathematical analysis | Uniqueness | Differential equations | Continuity | Vectors (mathematics) | Estimates

Journal Article

Archive for rational mechanics and analysis, ISSN 1432-0673, 2018, Volume 230, Issue 1, pp. 277 - 320

Prolongating our previous paper on the Einstein relation, we study the motion of a particle diffusing in a random reversible environment when subject to a...

Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | MATHEMATICS, APPLIED | WALKS | MECHANICS | MARKOV-PROCESSES | EINSTEIN RELATION | Theorems | Continuity | Variation | Steady state | Dependence | Dissipation | VDP | Mathematics and natural science: 400 | Mathematics: 410 | Matematikk og Naturvitenskap: 400 | Matematikk: 410 | Probability | Mathematics

Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | MATHEMATICS, APPLIED | WALKS | MECHANICS | MARKOV-PROCESSES | EINSTEIN RELATION | Theorems | Continuity | Variation | Steady state | Dependence | Dissipation | VDP | Mathematics and natural science: 400 | Mathematics: 410 | Matematikk og Naturvitenskap: 400 | Matematikk: 410 | Probability | Mathematics

Journal Article

Psychological Science, ISSN 0956-7976, 12/2017, Volume 28, Issue 12, pp. 1707 - 1718

...Early number knowledge forecasts later achievement in mathematics (Duncan et al., 2007; Göbel, Watson, Lervåg, & Hulme, 2014; Nguyen et al., 2016; Watts...

continuity | genetically sensitive design | innovations | longitudinal study | number knowledge | mathematics achievement | SCHOOL | TWINS | COGNITIVE PREDICTORS | PERFORMANCE | COMPETENCE | CHILDREN | PSYCHOLOGY, MULTIDISCIPLINARY | GENERALIST GENES | ABILITIES | VOCABULARY | COVARIANCE | Preschool children | Innovations | Individual differences | Environmental aspects | Mathematics | Genetic factors | Achievement | Knowledge | Age

continuity | genetically sensitive design | innovations | longitudinal study | number knowledge | mathematics achievement | SCHOOL | TWINS | COGNITIVE PREDICTORS | PERFORMANCE | COMPETENCE | CHILDREN | PSYCHOLOGY, MULTIDISCIPLINARY | GENERALIST GENES | ABILITIES | VOCABULARY | COVARIANCE | Preschool children | Innovations | Individual differences | Environmental aspects | Mathematics | Genetic factors | Achievement | Knowledge | Age

Journal Article

Foundations of Computational Mathematics, ISSN 1615-3375, 12/2018, Volume 18, Issue 6, pp. 1333 - 1396

Given a continuous function $$f:X\rightarrow \mathbb {R}$$
f:X→R
and a cover $$\mathcal {I}$$
I
of its image by intervals, the Mapper is the nerve of a...

Topological persistence | Reeb graph | Linear and Multilinear Algebras, Matrix Theory | Mathematics | 68U05 | 55U10 | Mapper | Numerical Analysis | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | Economics, general | Topological data analysis | MATHEMATICS | MATHEMATICS, APPLIED | PERSISTENCE | COMPUTER SCIENCE, THEORY & METHODS | REEB GRAPHS | Mathematical research | Research | Mappings (Mathematics) | Structural stability | Dimensional stability | Continuity (mathematics)

Topological persistence | Reeb graph | Linear and Multilinear Algebras, Matrix Theory | Mathematics | 68U05 | 55U10 | Mapper | Numerical Analysis | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | Economics, general | Topological data analysis | MATHEMATICS | MATHEMATICS, APPLIED | PERSISTENCE | COMPUTER SCIENCE, THEORY & METHODS | REEB GRAPHS | Mathematical research | Research | Mappings (Mathematics) | Structural stability | Dimensional stability | Continuity (mathematics)

Journal Article

Journal de mathématiques pures et appliquées, ISSN 0021-7824, 02/2019, Volume 122, pp. 67 - 124

We establish regularity of conformal maps between sub-Riemannian manifolds from regularity of Q-harmonic functions, and in particular we prove a Liouville-type...

Sub-Riemannian geometry | Liouville Theorem | Regularity for p-harmonic functions | Subelliptic PDE | Quasi-conformal maps | Harmonic coordinates | MATHEMATICS, APPLIED | DIFFERENTIABILITY | SPACES | QUASI-LINEAR EQUATIONS | INEQUALITY | VECTOR-FIELDS | EXTENSION | MATHEMATICS | CONTINUITY | MAPS | REGULARITY | MAPPINGS

Sub-Riemannian geometry | Liouville Theorem | Regularity for p-harmonic functions | Subelliptic PDE | Quasi-conformal maps | Harmonic coordinates | MATHEMATICS, APPLIED | DIFFERENTIABILITY | SPACES | QUASI-LINEAR EQUATIONS | INEQUALITY | VECTOR-FIELDS | EXTENSION | MATHEMATICS | CONTINUITY | MAPS | REGULARITY | MAPPINGS

Journal Article

8.
Full Text
Extensions of interpolation between the arithmetic-geometric mean inequality for matrices

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 10

...@hamoon.usb.ac.ir
Department of Mathematics,
Faculty of Mathematics, University
of Sistan and Baluchestan, Zahedan,
Iran
Abstract
In this paper, we present some extensions...

unitarily invariant norm | Cauchy-Schwarz inequality | Analysis | arithmetic-geometric mean | Mathematics, general | Mathematics | 47A64 | Applications of Mathematics | 15A60 | Hilbert-Schmidt norm | MATHEMATICS | MATHEMATICS, APPLIED | YOUNG INEQUALITIES | OPERATORS | Interpolation | Real numbers | Continuity (mathematics) | Inequalities | Inequality | Arithmetic | Research

unitarily invariant norm | Cauchy-Schwarz inequality | Analysis | arithmetic-geometric mean | Mathematics, general | Mathematics | 47A64 | Applications of Mathematics | 15A60 | Hilbert-Schmidt norm | MATHEMATICS | MATHEMATICS, APPLIED | YOUNG INEQUALITIES | OPERATORS | Interpolation | Real numbers | Continuity (mathematics) | Inequalities | Inequality | Arithmetic | Research

Journal Article

Journal of scientific computing, ISSN 1573-7691, 2018, Volume 78, Issue 1, pp. 29 - 63

In this paper, we analyze the convergence of the alternating direction method of multipliers (ADMM) for minimizing a nonconvex and possibly nonsmooth objective...

Sparse optimization | Augmented Lagrangian method | Computational Mathematics and Numerical Analysis | Algorithms | Nonconvex optimization | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Block coordinate descent | Mathematics | ADMM | ALTERNATING DIRECTION METHOD | MATHEMATICS, APPLIED | TENSOR FACTORIZATION | THRESHOLDING ALGORITHM | MULTIPLIERS | RACHFORD

Sparse optimization | Augmented Lagrangian method | Computational Mathematics and Numerical Analysis | Algorithms | Nonconvex optimization | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Block coordinate descent | Mathematics | ADMM | ALTERNATING DIRECTION METHOD | MATHEMATICS, APPLIED | TENSOR FACTORIZATION | THRESHOLDING ALGORITHM | MULTIPLIERS | RACHFORD

Journal Article

Mathematical models & methods in applied sciences, ISSN 0218-2025, 2019, Volume 29, Issue 8, pp. 1413 - 1464

This paper considers a mean field game model inspired by crowd motion where agents want to leave a given bounded domain through a part of its boundary in...

Nash equilibrium | Pontryagin Maximum Principle | time-dependent eikonal equation | MFG system | Optimal control | congestion games | CROWD MOTION | MATHEMATICS, APPLIED | CONGESTION | TRANSPORTATION | BEHAVIOR | FLOW | SCHEME | REGULARITY | AVERAGE | DENSITY CONSTRAINTS | CONVERGENCE | Mathematics - Optimization and Control

Nash equilibrium | Pontryagin Maximum Principle | time-dependent eikonal equation | MFG system | Optimal control | congestion games | CROWD MOTION | MATHEMATICS, APPLIED | CONGESTION | TRANSPORTATION | BEHAVIOR | FLOW | SCHEME | REGULARITY | AVERAGE | DENSITY CONSTRAINTS | CONVERGENCE | Mathematics - Optimization and Control

Journal Article

Aequationes mathematicae, ISSN 0001-9054, 2/2017, Volume 91, Issue 1, pp. 21 - 82

... spectra equal
the abscissae of convergence of the associated zeta-functions.
Mathematics Subject Classiﬁcation. Primary 28A78; Secondary 37D30, 37A45.
Keywords...

Multifractals | Ergodic theory | Primary 28A78 | Hausdorff dimension | Secondary 37D30 | Analysis | 37A45 | Mathematics | Large deviations | Combinatorics | Zeta functions | LIMITS | MATHEMATICS, APPLIED | SELF-SIMILAR MEASURES | SIMILAR SETS | SPACE | MATHEMATICS | FRACTALS | DIMENSION | DIVERGENCE POINTS | THEORETICAL BIRKHOFF AVERAGES | ENTROPY | Spectra | Continuity (mathematics) | Functions (mathematics) | Mathematical analysis | Information dissemination | Ergodic processes | Convergence

Multifractals | Ergodic theory | Primary 28A78 | Hausdorff dimension | Secondary 37D30 | Analysis | 37A45 | Mathematics | Large deviations | Combinatorics | Zeta functions | LIMITS | MATHEMATICS, APPLIED | SELF-SIMILAR MEASURES | SIMILAR SETS | SPACE | MATHEMATICS | FRACTALS | DIMENSION | DIVERGENCE POINTS | THEORETICAL BIRKHOFF AVERAGES | ENTROPY | Spectra | Continuity (mathematics) | Functions (mathematics) | Mathematical analysis | Information dissemination | Ergodic processes | Convergence

Journal Article

Selecta mathematica (Basel, Switzerland), ISSN 1420-9020, 2018, Volume 24, Issue 4, pp. 3501 - 3528

We present a theory of the b-function (or Bernstein–Sato polynomial) in positive characteristic. Let f be a non-constant polynomial with coefficients in a...

Mathematics, general | 14F10 | Mathematics | 13A35 | MATHEMATICS | MATHEMATICS, APPLIED | D-MODULES | DIFFERENTIAL-OPERATORS | RATIONALITY | Analysis | Algebra | Mathematics - Algebraic Geometry

Mathematics, general | 14F10 | Mathematics | 13A35 | MATHEMATICS | MATHEMATICS, APPLIED | D-MODULES | DIFFERENTIAL-OPERATORS | RATIONALITY | Analysis | Algebra | Mathematics - Algebraic Geometry

Journal Article

Rendiconti del Circolo matematico di Palermo, ISSN 0009-725X, 08/2018, Volume 67, Issue 2, pp. 337 - 371

Rend. Circ. Mat. Palermo (2) 67 (2018), 337--371 Many problems in nonlinear analysis and optimization, among them variational
inequalities and minimization of...

Maximally monotone operator | Fully Legendre function | Zero | Inclusion | Resolvent | Well defined | Algorithmic scheme | Inexact | Protoresolvent

Maximally monotone operator | Fully Legendre function | Zero | Inclusion | Resolvent | Well defined | Algorithmic scheme | Inexact | Protoresolvent

Journal Article

Journal for general philosophy of science, ISSN 0925-4560, 06/2017, Volume 48, Issue 2, pp. 195 - 238

... (or the structures mathematicians use in practice) to examine contrasting interpretations of infinitesimal mathematics of the seventeenth and eighteenth century, in the work of Bos, Ferraro, Laugwitz, and others...

Principle of cancellation | Ontology | Leibniz | Archimedean axiom | Standard part principle | Mathematical practice | Procedure | Euler | Law of continuity | Infinite product | Infinitesimal | Law of homogeneity | SERIES | NUMBERS | NUMEROSITIES | SUMMATION | HISTORY & PHILOSOPHY OF SCIENCE | DIFFERENTIALS | SETS | FOUNDATIONS | Usage | Mathematical models | Models | Research | Processes, Infinite

Principle of cancellation | Ontology | Leibniz | Archimedean axiom | Standard part principle | Mathematical practice | Procedure | Euler | Law of continuity | Infinite product | Infinitesimal | Law of homogeneity | SERIES | NUMBERS | NUMEROSITIES | SUMMATION | HISTORY & PHILOSOPHY OF SCIENCE | DIFFERENTIALS | SETS | FOUNDATIONS | Usage | Mathematical models | Models | Research | Processes, Infinite

Journal Article

PloS one, ISSN 1932-6203, 2017, Volume 12, Issue 3, p. e0174418

Introduction Individuals with high levels of mathematics anxiety are more likely to have other forms of anxiety, such as general anxiety and test anxiety, and tend to have some math performance...

MATHEMATICS ANXIETY | ACHIEVEMENT | MIXTURE | ELEMENTARY | MATH ANXIETY | MODELS | MULTIDISCIPLINARY SCIENCES | SELF-CONCEPT | GENDER-DIFFERENCES | WORKING-MEMORY | STUDENTS | Humans | Anxiety - psychology | Child, Preschool | Linear Models | Male | Mathematics | Anxiety Disorders - psychology | Reading | Students - psychology | Adolescent | Stress, Psychological | Female | Surveys and Questionnaires | Achievement | Child | Schools | Psychological aspects | Academic achievement | Anxiety | Research | Analysis | Psychology | Colleges & universities | Nervous system | Attachment | Risk factors | Learning | Students | Developmental stages | Education | Tension | Meals | Cadmium | Construction | Computer simulation | Attention | Sex differences | Regression analysis | Mathematics education | Emotions | Studies | Correlation analysis | Short term memory | Neurosciences | Physiological effects | Risk sharing | World Wide Web | Variance | Variables | Child development | Language | Risk assessment | Automatic control | Attenuation | Mathematical models | Children | Adolescents | Continuity (mathematics) | Age | Mathematics teachers | Concept learning | Integration | Statistical analysis | Data processing | Personality | Fear | Simulation | Anxieties | Reliability | Monte Carlo simulation

MATHEMATICS ANXIETY | ACHIEVEMENT | MIXTURE | ELEMENTARY | MATH ANXIETY | MODELS | MULTIDISCIPLINARY SCIENCES | SELF-CONCEPT | GENDER-DIFFERENCES | WORKING-MEMORY | STUDENTS | Humans | Anxiety - psychology | Child, Preschool | Linear Models | Male | Mathematics | Anxiety Disorders - psychology | Reading | Students - psychology | Adolescent | Stress, Psychological | Female | Surveys and Questionnaires | Achievement | Child | Schools | Psychological aspects | Academic achievement | Anxiety | Research | Analysis | Psychology | Colleges & universities | Nervous system | Attachment | Risk factors | Learning | Students | Developmental stages | Education | Tension | Meals | Cadmium | Construction | Computer simulation | Attention | Sex differences | Regression analysis | Mathematics education | Emotions | Studies | Correlation analysis | Short term memory | Neurosciences | Physiological effects | Risk sharing | World Wide Web | Variance | Variables | Child development | Language | Risk assessment | Automatic control | Attenuation | Mathematical models | Children | Adolescents | Continuity (mathematics) | Age | Mathematics teachers | Concept learning | Integration | Statistical analysis | Data processing | Personality | Fear | Simulation | Anxieties | Reliability | Monte Carlo simulation

Journal Article

Ergodic theory and dynamical systems, ISSN 0143-3857, 05/2018, Volume 38, Issue 3, pp. 961 - 981

...-invertible operator cocycles DAVOR DRAGIČEVIĆ and GARY FROYLAND School of Mathematics and Statistics, University of New South Wales, Sydney NSW 2052, Australia (e-mail...

Original Article | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | Operators (mathematics) | Hilbert space | Subspaces | Liapunov exponents | Continuity (mathematics)

Original Article | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | Operators (mathematics) | Hilbert space | Subspaces | Liapunov exponents | Continuity (mathematics)

Journal Article

Journal of Dynamics and Differential Equations, ISSN 1040-7294, 3/2018, Volume 30, Issue 1, pp. 309 - 329

We deal with one dimensional p-Laplace equation of the form $$\begin{aligned} u_t = (|u_x|^{p-2} u_x )_x + f(x,u), \ x\in (0,l), \ t>0, \end{aligned}$$...

Mathematics | Ordinary Differential Equations | Applications of Mathematics | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS

Mathematics | Ordinary Differential Equations | Applications of Mathematics | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS

Journal Article