1991, 1, Studies in advanced mathematics., ISBN 084937152X, Volume 1, xvii, 364

CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and...

CR submanifolds | Cauchy-Riemann equations | Mathematical Physics | Differential Equations

CR submanifolds | Cauchy-Riemann equations | Mathematical Physics | Differential Equations

Book

Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 5/2003, Volume 100, Issue 10, pp. 5591 - 5596

We describe a method for recovering the underlying parametrization of scattered data (mi) lying on a manifold M embedded in high-dimensional Euclidean space....

Tangents | Embeddings | Riemann manifold | Physical Sciences | Eigenvalues | Coordinate systems | Laplacians | Euclidean space | Mathematical vectors | Eigenvectors | Hessian matrices | Laplacian eigenmaps | Tangent coordinates | Isometry | Manifold learning | ISOMAP | tangent coordinates | MULTIDISCIPLINARY SCIENCES | manifold learning | isometry | Analysis | Laplacian operator | manifold learning|ISOMAP|tangent coordinates|isometry| Laplacian eigenmaps

Tangents | Embeddings | Riemann manifold | Physical Sciences | Eigenvalues | Coordinate systems | Laplacians | Euclidean space | Mathematical vectors | Eigenvectors | Hessian matrices | Laplacian eigenmaps | Tangent coordinates | Isometry | Manifold learning | ISOMAP | tangent coordinates | MULTIDISCIPLINARY SCIENCES | manifold learning | isometry | Analysis | Laplacian operator | manifold learning|ISOMAP|tangent coordinates|isometry| Laplacian eigenmaps

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2012, Volume 396, Issue 1, pp. 145 - 163

A remarkable and elementary fact that a locally compact set F of Euclidean space is a smooth manifold if (and only if) the lower and upper paratangent cones to...

Tangent cones | Paratangency in traditional sense | manifolds | Strict differentiability, tangency in traditional sense | Peano limits of sets | Peano tangent cones, Bouligand tangent cones | Paratingent cones | Tangency and differentiability | Painlevé-Kuratowski limits of sets | Kuratowski limits of sets | Differentiability | Clarke tangent cone | Severi tangent cones | MATHEMATICS, APPLIED | Painleve-Kuratowski limits of sets | PEANO | C-1 manifolds | MATHEMATICS | Peano tangent cones, Bouligand tangent cone

Tangent cones | Paratangency in traditional sense | manifolds | Strict differentiability, tangency in traditional sense | Peano limits of sets | Peano tangent cones, Bouligand tangent cones | Paratingent cones | Tangency and differentiability | Painlevé-Kuratowski limits of sets | Kuratowski limits of sets | Differentiability | Clarke tangent cone | Severi tangent cones | MATHEMATICS, APPLIED | Painleve-Kuratowski limits of sets | PEANO | C-1 manifolds | MATHEMATICS | Peano tangent cones, Bouligand tangent cone

Journal Article

4.
Full Text
MHD flow of tangent hyperbolic fluid over a stretching cylinder: Using Keller box method

Journal of Magnetism and Magnetic Materials, ISSN 0304-8853, 12/2015, Volume 395, pp. 271 - 276

A numerical solution of MHD flow of tangent hyperbolic fluid model over a stretching cylinder is obtained in this paper. The governing boundary layer equation...

Finite difference | MHD flow | Tangent hyperbolic fluid | Keller box method | Stretching cylinder | BOUNDARY-LAYER-FLOW | PHYSICS, CONDENSED MATTER | SLIP-FLOW | MATERIALS SCIENCE, MULTIDISCIPLINARY | MAGNETIC-FIELD | SHEET | NANOFLUID | Tangents | Magnetohydrodynamics | Fluids | Computational fluid dynamics | Fluid flow | MHD | Mathematical models | Cylinders

Finite difference | MHD flow | Tangent hyperbolic fluid | Keller box method | Stretching cylinder | BOUNDARY-LAYER-FLOW | PHYSICS, CONDENSED MATTER | SLIP-FLOW | MATERIALS SCIENCE, MULTIDISCIPLINARY | MAGNETIC-FIELD | SHEET | NANOFLUID | Tangents | Magnetohydrodynamics | Fluids | Computational fluid dynamics | Fluid flow | MHD | Mathematical models | Cylinders

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 2011, Volume 230, Issue 19, pp. 7086 - 7092

► We propose a simple algebraic VOF (volume of fluid) scheme which does not involve geometrical reconstruction. ► We use the THINC scheme as the one...

Multi-dimensional calculation | Multi-phase flows | Interface capturing/tracking | Hyperbolic tangent function | VOF | Free interface | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FLUID ADVECTION ALGORITHM | PHYSICS, MATHEMATICAL | FLOW | VOLUME-TRACKING | Mechanical engineering | Algorithms | Tangents | Accuracy | Algebra | Computation | Mathematical analysis | Mathematical models | Orientation

Multi-dimensional calculation | Multi-phase flows | Interface capturing/tracking | Hyperbolic tangent function | VOF | Free interface | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FLUID ADVECTION ALGORITHM | PHYSICS, MATHEMATICAL | FLOW | VOLUME-TRACKING | Mechanical engineering | Algorithms | Tangents | Accuracy | Algebra | Computation | Mathematical analysis | Mathematical models | Orientation

Journal Article

SIAM Journal on Scientific Computing, ISSN 1064-8275, 2013, Volume 35, Issue 4, pp. C369 - C393

In this paper we demonstrate a new technique for deriving discrete adjoint and tangent linear models of a finite element model. The technique is significantly...

Code generation | Adjoint | Tangent linear | Dolfin-adjoint | FEniCS project | Libadjoint | SYSTEM | MATHEMATICS, APPLIED | THEORETICAL ASPECTS | libadjoint | ALGORITHMS | adjoint | dolfin-adjoint | SYRINGOMYELIA | REVOLVE | code generation | tangent linear | DIFFERENTIATION | EQUATION | Finite element method | Tangents | Automated | Mathematical analysis | Adjoints | Derivation | Nonlinearity | Mathematical models

Code generation | Adjoint | Tangent linear | Dolfin-adjoint | FEniCS project | Libadjoint | SYSTEM | MATHEMATICS, APPLIED | THEORETICAL ASPECTS | libadjoint | ALGORITHMS | adjoint | dolfin-adjoint | SYRINGOMYELIA | REVOLVE | code generation | tangent linear | DIFFERENTIATION | EQUATION | Finite element method | Tangents | Automated | Mathematical analysis | Adjoints | Derivation | Nonlinearity | Mathematical models

Journal Article

Geophysical Research Letters, ISSN 0094-8276, 05/2012, Volume 39, Issue 10, p. n/a

The occurrence rate of earthward‐propagating dipolarization fronts (DFs) is investigated in this paper based on the 9 years (2001–2009) of Cluster 1 data. For...

hyperbolic tangent function | statistical | reconnection | occurrence rate | dipolarization front | substorm | ACCELERATION | GEOSCIENCES, MULTIDISCIPLINARY | EVENTS | MAGNETIC RECONNECTION | SIMULATIONS | CLUSTER | SHEET | SUBSTORM ONSETS | FLOW | Atmospheric sciences | Magnetism | Electrocardiography | Physical examinations | Life support systems | Environmental testing | Magnetic fields | Magnetic flux | Tangents | Fittings | Current sheets | Simulation | Geophysics | Clusters

hyperbolic tangent function | statistical | reconnection | occurrence rate | dipolarization front | substorm | ACCELERATION | GEOSCIENCES, MULTIDISCIPLINARY | EVENTS | MAGNETIC RECONNECTION | SIMULATIONS | CLUSTER | SHEET | SUBSTORM ONSETS | FLOW | Atmospheric sciences | Magnetism | Electrocardiography | Physical examinations | Life support systems | Environmental testing | Magnetic fields | Magnetic flux | Tangents | Fittings | Current sheets | Simulation | Geophysics | Clusters

Journal Article

Israel Journal of Mathematics, ISSN 0021-2172, 6/2018, Volume 226, Issue 2, pp. 851 - 875

We consider the Assouad dimension analogues of two important problems in geometric measure theory. These problems are tied together by the common theme of...

Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | HOMOGENEITY | FRACTAL MEASURES | ASSOUAD DIMENSION | Tangents (Geometry) | Fuzzy sets | Set theory | Research | Mathematical research

Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | HOMOGENEITY | FRACTAL MEASURES | ASSOUAD DIMENSION | Tangents (Geometry) | Fuzzy sets | Set theory | Research | Mathematical research

Journal Article

Annals of Mathematics, ISSN 0003-486X, 7/2011, Volume 174, Issue 1, pp. 75 - 123

Generalized complex geometry encompasses complex and symplectic geometry as its extremal special cases. We explore the basic properties of this geometry,...

String theory | Geometry | Mathematical manifolds | Tangents | Algebra | Mathematical theorems | Vector fields | Mathematics | Automorphisms | Symmetry | MATHEMATICS | COURANT ALGEBROIDS | BRANES | MANIFOLDS | COHOMOLOGY | REDUCTION

String theory | Geometry | Mathematical manifolds | Tangents | Algebra | Mathematical theorems | Vector fields | Mathematics | Automorphisms | Symmetry | MATHEMATICS | COURANT ALGEBROIDS | BRANES | MANIFOLDS | COHOMOLOGY | REDUCTION

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 62, Issue 4, pp. 1879 - 1886

In this paper, the higher-order tangent numbers and higher-order secant numbers, { T ( n , k ) } n , k = 0 ∞ and { S ( n , k ) } n , k = 0 ∞ , have been...

Secant numbers of order [formula omitted] | Higher-order (or, generalized) tangent and secant numbers | Tangent numbers | Secant numbers | Tangent numbers of order [formula omitted] | Derivative polynomials | Tangent numbers of order k | Secant numbers of order k | MATHEMATICS, APPLIED | POWERS | Bells | Tangents | Mathematical models | Computation | Mathematical analysis | Mathematics - Classical Analysis and ODEs

Secant numbers of order [formula omitted] | Higher-order (or, generalized) tangent and secant numbers | Tangent numbers | Secant numbers | Tangent numbers of order [formula omitted] | Derivative polynomials | Tangent numbers of order k | Secant numbers of order k | MATHEMATICS, APPLIED | POWERS | Bells | Tangents | Mathematical models | Computation | Mathematical analysis | Mathematics - Classical Analysis and ODEs

Journal Article

Advances in Applied Mathematics, ISSN 0196-8858, 03/2015, Volume 64, Issue 1, pp. 1 - 20

A compact set X⊆R2 has an outgoing Severi–Bouligand tangent unit vector u at some point x∈X iff some principal quotient of the Riesz space R(X) of piecewise...

Yosida representation | Piecewise linear function | Sampling sequence | Vector lattice | Lattice-ordered abelian group | MV-algebra | Polyhedron | Lattice-ordered vector space | Frenet frame | Simplicial complex | Riesz space | Severi–Bouligand tangent | Bouligand–Severi tangent | Strong unit | Bouligand-Severi tangent | Severi-Bouligand tangent | MATHEMATICS, APPLIED | ALGEBRAS | VECTOR LATTICES | Computer science | Frames | Tangents | Computation | Quotients | Mathematical analysis | Polyhedrons | Mathematical models | Derivatives | Vectors (mathematics)

Yosida representation | Piecewise linear function | Sampling sequence | Vector lattice | Lattice-ordered abelian group | MV-algebra | Polyhedron | Lattice-ordered vector space | Frenet frame | Simplicial complex | Riesz space | Severi–Bouligand tangent | Bouligand–Severi tangent | Strong unit | Bouligand-Severi tangent | Severi-Bouligand tangent | MATHEMATICS, APPLIED | ALGEBRAS | VECTOR LATTICES | Computer science | Frames | Tangents | Computation | Quotients | Mathematical analysis | Polyhedrons | Mathematical models | Derivatives | Vectors (mathematics)

Journal Article

Advances in Geometry, ISSN 1615-715X, 07/2014, Volume 14, Issue 3, pp. 447 - 453

Let M be a C -smooth strictly convex closed surface in ℝ and denote by H the set of points x in the exterior of M such that all the tangent segments from x to...

MATHEMATICS | Tangents (Geometry) | Analysis

MATHEMATICS | Tangents (Geometry) | Analysis

Journal Article

Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 12/2018, Volume 57, Issue 6, p. 1

We study the existence and uniqueness of smooth mean curvature flow, in arbitrary dimension and co-dimension, emanating from so called k-dimensional Reifenberg...

MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | UNIQUENESS

MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | UNIQUENESS

Journal Article

The Annals of Statistics, ISSN 0090-5364, 10/2014, Volume 42, Issue 5, pp. 1911 - 1940

We propose, for multivariate Gaussian copula models with unknown margins and structured correlation matrices, a rank-based, semiparametrically efficient...

Preliminary estimates | Tangent function | Tangents | Copula functions | Mathematical independent variables | Mathematical vectors | Matrices | Regression analysis | Parametric models | Estimators | Adaptivity | ranks | score function | quadratic form | correlation matrix | tangent space | influence function | Influence function | Correlation matrix | Ranks | Quadratic form | Tangent space | Score function | REGRESSION | STATISTICS & PROBABILITY | PARAMETERS | INFERENCE | GRAPHICAL MODELS | BIVARIATE SURVIVAL-DATA | Statistics - Methodology | 62G20 | 62B15 | 62H20 | 62F12

Preliminary estimates | Tangent function | Tangents | Copula functions | Mathematical independent variables | Mathematical vectors | Matrices | Regression analysis | Parametric models | Estimators | Adaptivity | ranks | score function | quadratic form | correlation matrix | tangent space | influence function | Influence function | Correlation matrix | Ranks | Quadratic form | Tangent space | Score function | REGRESSION | STATISTICS & PROBABILITY | PARAMETERS | INFERENCE | GRAPHICAL MODELS | BIVARIATE SURVIVAL-DATA | Statistics - Methodology | 62G20 | 62B15 | 62H20 | 62F12

Journal Article

SIAM Journal on Optimization, ISSN 1052-6234, 2015, Volume 25, Issue 1, pp. 622 - 646

The aim of this paper is to derive convergence results for projected line-search methods on the real-algebraic variety M-<= k of real mxn matrices of rank at...

Tangent cones | Łojasiewicz gradient inequality | Steepest descent | Line-search methods | Low-rank matrices | Convergence analysis | Riemannian optimization | MATHEMATICS, APPLIED | low-rank matrices | tangent cones | APPROXIMATION | line-search methods | DESCENT METHODS | ALGORITHMS | TUCKER | convergence analysis | steepest descent | OPTIMIZATION | COMPLETION | FLOWS | Lojasiewicz gradient inequality | Manifolds | Tangents | Asymptotic properties | Mathematical analysis | Inequalities | Curvature | Optimization | Convergence

Tangent cones | Łojasiewicz gradient inequality | Steepest descent | Line-search methods | Low-rank matrices | Convergence analysis | Riemannian optimization | MATHEMATICS, APPLIED | low-rank matrices | tangent cones | APPROXIMATION | line-search methods | DESCENT METHODS | ALGORITHMS | TUCKER | convergence analysis | steepest descent | OPTIMIZATION | COMPLETION | FLOWS | Lojasiewicz gradient inequality | Manifolds | Tangents | Asymptotic properties | Mathematical analysis | Inequalities | Curvature | Optimization | Convergence

Journal Article

PLoS ONE, ISSN 1932-6203, 12/2018, Volume 13, Issue 12, p. e0208407

We present the ROCA (ROad Curvature Analyst) software, in the form of an ESRI ArcGIS Toolbox, intended for vector line data processing. The software segments...

HIGHWAY | CRASHES | MULTIDISCIPLINARY SCIENCES | CURVATURE | Geographic Information Systems | Self-Help Devices | Automobiles - standards | Humans | Automobile Driving - standards | Environment Design | Safety | Rotation | Pattern Recognition, Automated - methods | Accidents, Traffic - prevention & control | Software - standards | Tangents (Geometry) | Technology application | Usage | Road construction | Analysis | Traffic safety | Geographic information systems | Tangents | Automation | Crashes | Roads & highways | Websites | Roads | Identification methods | Data processing | Identification | Traffic accidents & safety | Computer programs | Prevention | Geometry | Databases | Knowledge discovery | Software | Bayesian analysis | Curvature | Methods

HIGHWAY | CRASHES | MULTIDISCIPLINARY SCIENCES | CURVATURE | Geographic Information Systems | Self-Help Devices | Automobiles - standards | Humans | Automobile Driving - standards | Environment Design | Safety | Rotation | Pattern Recognition, Automated - methods | Accidents, Traffic - prevention & control | Software - standards | Tangents (Geometry) | Technology application | Usage | Road construction | Analysis | Traffic safety | Geographic information systems | Tangents | Automation | Crashes | Roads & highways | Websites | Roads | Identification methods | Data processing | Identification | Traffic accidents & safety | Computer programs | Prevention | Geometry | Databases | Knowledge discovery | Software | Bayesian analysis | Curvature | Methods

Journal Article

Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, 2011, Volume 36, Issue 1, pp. 683 - 694

We are interested in studying doubling metric spaces with the property that at some of the points the metric tangent is unique. In such a setting,...

Uniqueness of tangents | Iterated tangents | BiLipschitz homogeneous spaces | Metric tangents | Carnot-Carathéodory distances | Carnot groups | MATHEMATICS | uniqueness of tangents | Carnot-Caratheodory distances | biLipschitz homogeneous spaces | iterated tangents

Uniqueness of tangents | Iterated tangents | BiLipschitz homogeneous spaces | Metric tangents | Carnot-Carathéodory distances | Carnot groups | MATHEMATICS | uniqueness of tangents | Carnot-Caratheodory distances | biLipschitz homogeneous spaces | iterated tangents

Journal Article

Annals of Mathematics, ISSN 0003-486X, 3/2012, Volume 175, Issue 2, pp. 755 - 833

It has long been conjectured that starting at a generic smooth closed embedded surface in R 3 , the mean curvature flow remains smooth until it arrives at a...

Tangents | Varifolds | Critical points | Hypersurfaces | Eigenvalues | Eigenfunctions | Polynomials | Mathematics | Entropy | Curvature | SPACE | MATHEMATICS | REGULARITY | THEOREM | SHAPES | CONSTRUCTION | MONOTONICITY | SELF-SIMILAR SURFACES | EMBEDDED MINIMAL-SURFACES | FIXED GENUS

Tangents | Varifolds | Critical points | Hypersurfaces | Eigenvalues | Eigenfunctions | Polynomials | Mathematics | Entropy | Curvature | SPACE | MATHEMATICS | REGULARITY | THEOREM | SHAPES | CONSTRUCTION | MONOTONICITY | SELF-SIMILAR SURFACES | EMBEDDED MINIMAL-SURFACES | FIXED GENUS

Journal Article

Pattern Recognition, ISSN 0031-3203, 02/2015, Volume 48, Issue 2, pp. 556 - 567

In this paper we address the problem of modeling and analyzing human motion by focusing on 3D body skeletons. Particularly, our intent is to represent skeletal...

Human action recognition | Skeleton | Grassmann manifold | Observational latency | Classification | Depth images | SPARSE REPRESENTATION | VIDEO | ALGORITHMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Data mining | Analysis | Algorithms | Learning | Manifolds | Support vector machines | Tangents | Dynamical systems | Recognition | Three dimensional | Computer Vision and Pattern Recognition | Computer Science

Human action recognition | Skeleton | Grassmann manifold | Observational latency | Classification | Depth images | SPARSE REPRESENTATION | VIDEO | ALGORITHMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Data mining | Analysis | Algorithms | Learning | Manifolds | Support vector machines | Tangents | Dynamical systems | Recognition | Three dimensional | Computer Vision and Pattern Recognition | Computer Science

Journal Article