IEEE Transactions on Biomedical Engineering, ISSN 0018-9294, 08/2012, Volume 59, Issue 8, pp. 2126 - 2136

The need for movement smoothness quantification to assess motor learning and recovery has resulted in various measures that look at different aspects of a...

Noise | Medical treatment | spectral arc-length metrics | Noise measurement | Motion measurement | stroke | quantitative movement assessment | neurological diseases | Sensitivity | motor learning | smoothness measure | Jerk | Robustness | ENGINEERING, BIOMEDICAL | DYNAMICS | SPURIOUS SUBMOVEMENT DECOMPOSITIONS | Psychomotor Performance | Reproducibility of Results | Algorithms | Fourier Analysis | Movement - physiology | Movement Disorders - physiopathology | Computer Simulation | Humans | Sensitivity and Specificity | Signal Processing, Computer-Assisted | Stroke Rehabilitation | Movement Disorders - rehabilitation | Robust statistics | Usage | Magnetic resonance imaging | Analysis | Innovations | Fourier transformations | Methods | Electric motors

Noise | Medical treatment | spectral arc-length metrics | Noise measurement | Motion measurement | stroke | quantitative movement assessment | neurological diseases | Sensitivity | motor learning | smoothness measure | Jerk | Robustness | ENGINEERING, BIOMEDICAL | DYNAMICS | SPURIOUS SUBMOVEMENT DECOMPOSITIONS | Psychomotor Performance | Reproducibility of Results | Algorithms | Fourier Analysis | Movement - physiology | Movement Disorders - physiopathology | Computer Simulation | Humans | Sensitivity and Specificity | Signal Processing, Computer-Assisted | Stroke Rehabilitation | Movement Disorders - rehabilitation | Robust statistics | Usage | Magnetic resonance imaging | Analysis | Innovations | Fourier transformations | Methods | Electric motors

Journal Article

Frontiers in Neurology, ISSN 1664-2295, 09/2018, Volume 9, p. 615

Smoothness is a main characteristic of goal-directed human movements. The suitability of approaches quantifying movement smoothness is dependent on the...

Number of peaks | Spectral arc length | Jerk | Kinematics | Activity of daily living | Speed metric | Smoothness | DEMENTIA | jerk | MULTISTEP ACTIVITY | DRINKING | PERFORMANCE | kinematics | activity of daily living | NEUROSCIENCES | CLINICAL NEUROLOGY | spectral arc length | STROKE | smoothness | DISEASE | NATURALISTIC ACTION | ELDERLY ADULTS | number of peaks | speed metric | BIMANUAL COORDINATION | Human mechanics | Analysis | Activities of daily living

Number of peaks | Spectral arc length | Jerk | Kinematics | Activity of daily living | Speed metric | Smoothness | DEMENTIA | jerk | MULTISTEP ACTIVITY | DRINKING | PERFORMANCE | kinematics | activity of daily living | NEUROSCIENCES | CLINICAL NEUROLOGY | spectral arc length | STROKE | smoothness | DISEASE | NATURALISTIC ACTION | ELDERLY ADULTS | number of peaks | speed metric | BIMANUAL COORDINATION | Human mechanics | Analysis | Activities of daily living

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 04/2003, Volume 355, Issue 4, pp. 1559 - 1577

Let V\subset\ambspace be a compact real analytic surface with isolated singularities, and assume its smooth part V_0 is equipped with a Riemannian metric that...

Geometry | Integers | Riemann manifold | Mathematical theorems | Algebra | Analytic functions | Coordinate systems | Curvature | Arc length | Real analytic sets | Resolution of singularities | Quasi-isometry | Gauss-Bonnet theorem | Stokes theorem | MATHEMATICS | L-2 Stokes theorem | quasi-isometry | resolution of singularities | ALGEBRAIC-CURVES | SPECTRAL GEOMETRY | real analytic sets

Geometry | Integers | Riemann manifold | Mathematical theorems | Algebra | Analytic functions | Coordinate systems | Curvature | Arc length | Real analytic sets | Resolution of singularities | Quasi-isometry | Gauss-Bonnet theorem | Stokes theorem | MATHEMATICS | L-2 Stokes theorem | quasi-isometry | resolution of singularities | ALGEBRAIC-CURVES | SPECTRAL GEOMETRY | real analytic sets

Journal Article

Proceedings of the 9th ACM International Conference on pervasive technologies related to assistive environments, 06/2016, Volume 29-, pp. 1 - 8

Physical therapy is an essential element in a comprehensive rehabilitation plan. Robot-assisted solutions have recently become more common to support the...

DyAd | Spectral Arc Length | Dynamic Difficulty Adjustment | Human-Robot Interaction | Dynamic Time Warping (DTW) | Rehabilitation Technology | Dynamic Diffculty Adjustment

DyAd | Spectral Arc Length | Dynamic Difficulty Adjustment | Human-Robot Interaction | Dynamic Time Warping (DTW) | Rehabilitation Technology | Dynamic Diffculty Adjustment

Conference Proceeding

Communications in Mathematical Physics, ISSN 0010-3616, 4/2018, Volume 359, Issue 2, pp. 429 - 448

We investigate the rate of decrease at infinity of eigenfunctions of quantum graphs by using Agmon’s method to prove L 2 and $${L^\infty}$$ L∞ bounds on the...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHYSICS, MATHEMATICAL

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHYSICS, MATHEMATICAL

Journal Article

Cogent Mathematics, ISSN 2331-1835, 12/2016, Volume 3, Issue 1

We discuss a spectral asymptotics theory of an even zonal metric and a Schrödinger operator with zonal potentials on a sphere. We decompose the eigenvalue...

35J10 | Sturm-Liouville theory | Weyl asymptotics | 34B24 | 35R30 | zonal potential | 35P25 | zonal metric | eigenvalue asymptotics | Cartwright-Levinson theory | 34K23 | Operators (mathematics) | Eigenvalues | Asymptotic properties | Eigen values | Sturm–Liouville theory | Cartwright–Levinson theory

35J10 | Sturm-Liouville theory | Weyl asymptotics | 34B24 | 35R30 | zonal potential | 35P25 | zonal metric | eigenvalue asymptotics | Cartwright-Levinson theory | 34K23 | Operators (mathematics) | Eigenvalues | Asymptotic properties | Eigen values | Sturm–Liouville theory | Cartwright–Levinson theory

Journal Article

Proceedings of SPIE - The International Society for Optical Engineering, ISSN 0277-786X, 2014, Volume 9118

Conference Proceeding

Geometriae Dedicata, ISSN 0046-5755, 12/2017, Volume 191, Issue 1, pp. 53 - 83

We study the geometry of hyperbolic cone surfaces, possibly with cusps or geodesic boundaries. We prove that any hyperbolic cone structure on a surface of...

Geometry | 53B40 | 53C24 | Finite marked length spectral rigidity | 51F99 | Teichmüller space | Mathematics | Hyperbolic cone surfaces | Thurston metric | MATHEMATICS | Teichmuller space | PARAMETRIZATION | TEICHMULLER-SPACES

Geometry | 53B40 | 53C24 | Finite marked length spectral rigidity | 51F99 | Teichmüller space | Mathematics | Hyperbolic cone surfaces | Thurston metric | MATHEMATICS | Teichmuller space | PARAMETRIZATION | TEICHMULLER-SPACES

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 11/2013, Volume 365, Issue 11, pp. 6103 - 6148

Let M^\circ an asymptotically conic Riemaniann metric on M^\circ compactifies to a manifold with boundary M becomes a scattering metric on M be the positive...

Resolvent kernel | Spectral measure | Low energy asymptotics | Scattering metric | Price's law | Asymptotically conic manifold | MATHEMATICS | asymptotically conic manifold | low energy asymptotics | PERTURBATIONS | resolvent kernel | SCATTERING METRICS | RIESZ TRANSFORM | MANIFOLDS | spectral measure | SCHRODINGER-OPERATORS

Resolvent kernel | Spectral measure | Low energy asymptotics | Scattering metric | Price's law | Asymptotically conic manifold | MATHEMATICS | asymptotically conic manifold | low energy asymptotics | PERTURBATIONS | resolvent kernel | SCATTERING METRICS | RIESZ TRANSFORM | MANIFOLDS | spectral measure | SCHRODINGER-OPERATORS

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 7/2018, Volume 57, Issue 7, pp. 2093 - 2102

We propose here a new discretization method for a class of continuum gauge theories which action functionals are polynomials of the curvature. Based on the...

Yang-Mills theory | Theoretical, Mathematical and Computational Physics | Gauge invariance | Quantum Physics | Physics, general | Physics | Elementary Particles, Quantum Field Theory | Discretized model | Business administration | Pattern Formation and Solitons | Mathematical Physics | Analysis of PDEs | Library and information sciences | Operator Algebras | Mathematics | Nonlinear Sciences | Humanities and Social Sciences | General Mathematics | Chaotic Dynamics | Spectral Theory | Differential Geometry | Metric Geometry | Exactly Solvable and Integrable Systems

Yang-Mills theory | Theoretical, Mathematical and Computational Physics | Gauge invariance | Quantum Physics | Physics, general | Physics | Elementary Particles, Quantum Field Theory | Discretized model | Business administration | Pattern Formation and Solitons | Mathematical Physics | Analysis of PDEs | Library and information sciences | Operator Algebras | Mathematics | Nonlinear Sciences | Humanities and Social Sciences | General Mathematics | Chaotic Dynamics | Spectral Theory | Differential Geometry | Metric Geometry | Exactly Solvable and Integrable Systems

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 12/2012, Volume 285, Issue 17‐18, pp. 2222 - 2232

We consider integral operators generated by square integrable kernels on an measure space. Under smoothness assumptions defined by the action of a convenient...

eigenvalues | 47B38 | 45P05 | 41A36 | 47G10 | 45M05 | 42A82 | singular values | 47A75 | spectral analysis MSC 45C05 | Decay rates | integral operators | Eigenvalues | Singular values | Integral operators | Spectral analysis | METRIC COMPACTA | MATHEMATICS | spectral analysis | SMOOTH KERNELS | POSITIVE-DEFINITE KERNELS | HOLDER CONTINUOUS KERNELS

eigenvalues | 47B38 | 45P05 | 41A36 | 47G10 | 45M05 | 42A82 | singular values | 47A75 | spectral analysis MSC 45C05 | Decay rates | integral operators | Eigenvalues | Singular values | Integral operators | Spectral analysis | METRIC COMPACTA | MATHEMATICS | spectral analysis | SMOOTH KERNELS | POSITIVE-DEFINITE KERNELS | HOLDER CONTINUOUS KERNELS

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 10/2012, Volume 63, Issue 5, pp. 855 - 863

In this note, we prove two isoperimetric inequalities for the sharp constant in the Sobolev embedding and its associated extremal function. The first...

Engineering | Sobolev constant | Mathematical Methods in Physics | Schwarz Lemma | Secondary 35J05 | 30C80 | Dirichlet eigenvalue | Theoretical and Applied Mechanics | Primary 35P15 | torsional rigidity | 1ST EIGENFUNCTION | EIGENVALUES | MATHEMATICS, APPLIED | BOUNDS | MEMBRANE | PAYNE-RAYNER TYPE | Mathematics - Analysis of PDEs

Engineering | Sobolev constant | Mathematical Methods in Physics | Schwarz Lemma | Secondary 35J05 | 30C80 | Dirichlet eigenvalue | Theoretical and Applied Mechanics | Primary 35P15 | torsional rigidity | 1ST EIGENFUNCTION | EIGENVALUES | MATHEMATICS, APPLIED | BOUNDS | MEMBRANE | PAYNE-RAYNER TYPE | Mathematics - Analysis of PDEs

Journal Article

Journal of Physics A: Mathematical and General, ISSN 0305-4470, 08/2005, Volume 38, Issue 31, pp. 7005 - 7019

The generalized Taub-NUT metrics exhibit in general gravitational anomalies. This is in contrast with the fact that the original Taub-NUT metric does not...

SPACE | SYMMETRY | DIRAC-EQUATION | INVARIANT | SPECTRAL ASYMMETRY | PHYSICS, MATHEMATICAL | SCATTERING

SPACE | SYMMETRY | DIRAC-EQUATION | INVARIANT | SPECTRAL ASYMMETRY | PHYSICS, MATHEMATICAL | SCATTERING

Journal Article

Annales Henri Poincaré, ISSN 1424-0637, 5/2018, Volume 19, Issue 5, pp. 1419 - 1438

In this paper, we try to put the results of Smilansky et al. on “Topological resonances” on a mathematical basis. A key role in the asymptotic of resonances...

Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | CHAOTIC SCATTERING | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS | Mathematics | Spectral Theory | Combinatorics | Mathematical Physics | Analysis of PDEs

Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | CHAOTIC SCATTERING | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS | Mathematics | Spectral Theory | Combinatorics | Mathematical Physics | Analysis of PDEs

Journal Article

The Journal of Geometric Analysis, ISSN 1050-6926, 1/2018, Volume 28, Issue 1, pp. 123 - 151

We study the discrete spectrum of the Robin Laplacian $$Q^{\Omega }_\alpha $$ Q α Ω in $$L^2(\Omega )$$ L 2 ( Ω ) , $$u\mapsto -\Delta u, \quad D_n u=\alpha u...

49R05 | Eigenvalue | Mathematics | 35J05 | Laplacian | Spectrum | Abstract Harmonic Analysis | Robin boundary condition | Fourier Analysis | 35P15 | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | 58C40 | Differential Geometry | Dynamical Systems and Ergodic Theory | SPECTRAL ASYMPTOTICS | MATHEMATICS | DISCRETE SPECTRUM | BEHAVIOR | OPERATORS | Mathematics - Spectral Theory | Mathematical Physics | Spectral Theory

49R05 | Eigenvalue | Mathematics | 35J05 | Laplacian | Spectrum | Abstract Harmonic Analysis | Robin boundary condition | Fourier Analysis | 35P15 | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | 58C40 | Differential Geometry | Dynamical Systems and Ergodic Theory | SPECTRAL ASYMPTOTICS | MATHEMATICS | DISCRETE SPECTRUM | BEHAVIOR | OPERATORS | Mathematics - Spectral Theory | Mathematical Physics | Spectral Theory

Journal Article

Journal of Noncommutative Geometry, ISSN 1661-6952, 2017, Volume 11, Issue 4, pp. 1413 - 1436

It is shown that, for nested fractals [31], the main structural data, such as the Hausdorff dimension and measure, the geodesic distance (when it exists)...

Noncommutative distance | Spectral triple | Hausdorff dimension | Self-similar energy | Nested fractal | MATHEMATICS, APPLIED | DIFFUSIONS | noncommutative distance | SELF-SIMILAR FRACTALS | DIRAC OPERATORS | PHYSICS, MATHEMATICAL | self-similar energy | MATHEMATICS | LAPLACIANS | DIXMIER TRACES | SETS | nested fractal | DIRICHLET FORMS | CONVERGENCE | SIERPINSKI GASKET | GEOMETRY | Mathematics - Operator Algebras

Noncommutative distance | Spectral triple | Hausdorff dimension | Self-similar energy | Nested fractal | MATHEMATICS, APPLIED | DIFFUSIONS | noncommutative distance | SELF-SIMILAR FRACTALS | DIRAC OPERATORS | PHYSICS, MATHEMATICAL | self-similar energy | MATHEMATICS | LAPLACIANS | DIXMIER TRACES | SETS | nested fractal | DIRICHLET FORMS | CONVERGENCE | SIERPINSKI GASKET | GEOMETRY | Mathematics - Operator Algebras

Journal Article

SIAM Journal on Optimization, ISSN 1052-6234, 2012, Volume 22, Issue 1, pp. 135 - 158

This paper deals with constructing retractions, a key step when applying optimization algorithms on matrix manifolds. For submanifolds of Euclidean spaces, we...

Retraction | Spectral manifold | Equality-constrained optimization | Stiefel manifold | Projection | Feasible optimization method | Fixed-rank matrices | Matrix manifold | MATHEMATICS, APPLIED | spectral manifold | MAXIMUM EIGENVALUE FUNCTION | ALGORITHMS | matrix manifold | equality-constrained optimization | retraction | CONSTRAINTS | feasible optimization method | projection | fixed-rank matrices | RIEMANNIAN-MANIFOLDS | Mathematics | Optimization and Control

Retraction | Spectral manifold | Equality-constrained optimization | Stiefel manifold | Projection | Feasible optimization method | Fixed-rank matrices | Matrix manifold | MATHEMATICS, APPLIED | spectral manifold | MAXIMUM EIGENVALUE FUNCTION | ALGORITHMS | matrix manifold | equality-constrained optimization | retraction | CONSTRAINTS | feasible optimization method | projection | fixed-rank matrices | RIEMANNIAN-MANIFOLDS | Mathematics | Optimization and Control

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 11/2007, Volume 40, Issue 47, pp. 14165 - 14180

In geometric analysis, an index theorem relates the difference of the numbers of solutions of two differential equations to the topological structure of the...

PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | KIRCHHOFFS RULE

PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | KIRCHHOFFS RULE

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 2/2018, Volume 357, Issue 3, pp. 1157 - 1177

We prove an analogue of Sogge’s local L p estimates for L p norms of restrictions of eigenfunctions to submanifolds, and use it to show that for quantum...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | SUBMANIFOLDS | THEOREMS | SETS | NONPOSITIVE CURVATURE | MANIFOLDS | BOUNDARY-VALUES | POINTS | PHYSICS, MATHEMATICAL | SURFACES

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | SUBMANIFOLDS | THEOREMS | SETS | NONPOSITIVE CURVATURE | MANIFOLDS | BOUNDARY-VALUES | POINTS | PHYSICS, MATHEMATICAL | SURFACES

Journal Article

Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 7/2013, Volume 209, Issue 1, pp. 41 - 59

Stokes waves are steady periodic water waves on the free surface of an infinitely deep irrotational two-dimensional flow under gravity without surface tension....

Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | SCHRODINGER OPERATOR | SPECTRAL THEORY | HARDY-SPACES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | BIFURCATION | Water waves | Archives

Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | SCHRODINGER OPERATOR | SPECTRAL THEORY | HARDY-SPACES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | BIFURCATION | Water waves | Archives

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.