1997, Memoirs of the American Mathematical Society, ISBN 9780821805947, Volume no. 603., viii, 122

Book

COMPTES RENDUS MATHEMATIQUE, ISSN 1631-073X, 11/2019, Volume 357, Issue 11-12, pp. 841 - 845

It is shown that, given a representation of a quiver over a finite field, one can check in polynomial time whether it is absolutely indecomposable. (C) 2019...

MATHEMATICS | INFINITE ROOT SYSTEMS | GRAPHS

MATHEMATICS | INFINITE ROOT SYSTEMS | GRAPHS

Journal Article

Journal of the American Mathematical Society, ISSN 0894-0347, 04/2018, Volume 31, Issue 2, pp. 497 - 608

In an earlier work (Publ. Inst. Hautes Études Sci., 122 (2015), 65-168) the first three authors conjectured that the ring of regular functions on a natural...

MATHEMATICS | PART I | REPRESENTATIONS | VARIETIES | INFINITE ROOT SYSTEMS | MODULI | GEOMETRY | GRAPHS

MATHEMATICS | PART I | REPRESENTATIONS | VARIETIES | INFINITE ROOT SYSTEMS | MODULI | GEOMETRY | GRAPHS

Journal Article

4.
Full Text
Root-finding absorbing boundary conditions for scalar and elastic waves in infinite media

Computer methods in applied mechanics and engineering, ISSN 0045-7825, 2019, Volume 346, pp. 592 - 611

Root-Finding Absorbing Boundary Conditions (RFABCs) for scalar and elastic waves in infinite media are developed...

Root-finding absorbing boundary condition (RFABC) | Wave propagation | Infinite medium | Elastic wave | Scalar wave | Absorbing boundary condition | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | PERFECTLY MATCHED LAYERS | ENGINEERING, MULTIDISCIPLINARY | Sound waves | Stability | Propagation | Wave equations | Series expansion | Waveguides | Boundary conditions | Eigenvectors | Elastic waves | Perfectly matched layers | Fourier series

Root-finding absorbing boundary condition (RFABC) | Wave propagation | Infinite medium | Elastic wave | Scalar wave | Absorbing boundary condition | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | PERFECTLY MATCHED LAYERS | ENGINEERING, MULTIDISCIPLINARY | Sound waves | Stability | Propagation | Wave equations | Series expansion | Waveguides | Boundary conditions | Eigenvectors | Elastic waves | Perfectly matched layers | Fourier series

Journal Article

Journal of Algebra, ISSN 0021-8693, 10/2019, Volume 536, pp. 170 - 214

In this paper, we establish a bijection between the infinite reduced words of an affine Weyl group and certain biclosed sets of its positive system and determine all finitely generated biclosed sets...

Root system | Affine Weyl group | Coxeter group | Weak Bruhat order | Infinite reduced word | MATHEMATICS | ROOTS | REFLECTION SUBGROUPS

Root system | Affine Weyl group | Coxeter group | Weak Bruhat order | Infinite reduced word | MATHEMATICS | ROOTS | REFLECTION SUBGROUPS

Journal Article

Groups, Geometry, and Dynamics, ISSN 1661-7207, 2017, Volume 11, Issue 2, pp. 469 - 498

.... In particular, limit directions arising from roots are called limit roots. Recent studies show that limit roots lie on the isotropic cone of the representation space...

Coxeter groups | Fractal | Coxeter arrangement | Infinite root systems | Limit set | Lorentz space | MATHEMATICS | infinite root systems | fractal | ROOTS | limit set

Coxeter groups | Fractal | Coxeter arrangement | Infinite root systems | Limit set | Lorentz space | MATHEMATICS | infinite root systems | fractal | ROOTS | limit set

Journal Article

Communications in Statistics - Theory and Methods, ISSN 0361-0926, 10/2016, Volume 45, Issue 20, pp. 5997 - 6021

This article presents a new test for unit roots based on least absolute deviation estimation specially designed to work for time series with autoregressive errors...

62F40, 62M10, 62G10 | Autoregressive process | Bootstrap | Autoregressive errors | Unit root | Least absolute deviation | 62M10 | TIME-SERIES REGRESSION | STATISTICS & PROBABILITY | BOOTSTRAP TESTS | LAD ESTIMATION | 62F40 | STOCHASTIC INTEGRALS | INFINITE-VARIANCE | 62G10 | Economic models | Monte Carlo simulation | Errors | Nuisance | Roots | Estimating | Mathematical models | Statistical methods | Deviation | Statistics

62F40, 62M10, 62G10 | Autoregressive process | Bootstrap | Autoregressive errors | Unit root | Least absolute deviation | 62M10 | TIME-SERIES REGRESSION | STATISTICS & PROBABILITY | BOOTSTRAP TESTS | LAD ESTIMATION | 62F40 | STOCHASTIC INTEGRALS | INFINITE-VARIANCE | 62G10 | Economic models | Monte Carlo simulation | Errors | Nuisance | Roots | Estimating | Mathematical models | Statistical methods | Deviation | Statistics

Journal Article

数学年刊：B辑英文版, ISSN 0252-9599, 2011, Volume 32, Issue 6, pp. 917 - 928

The authors investigate the completeness of the system of eigen or root vectors of the 2...

Hamilton算子 | 三角 | 无限维 | 根向量 | 系统 | 整性 | 辛空间 | 应用 | 47A70 | Eigenvector | Completeness | Mathematics, general | 2 × 2 upper triangular infinite-dimensional Hamiltonian operator | 47B99 | Mathematics | 47A75 | Applications of Mathematics | Root vector

Hamilton算子 | 三角 | 无限维 | 根向量 | 系统 | 整性 | 辛空间 | 应用 | 47A70 | Eigenvector | Completeness | Mathematics, general | 2 × 2 upper triangular infinite-dimensional Hamiltonian operator | 47B99 | Mathematics | 47A75 | Applications of Mathematics | Root vector

Journal Article

INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, ISSN 0268-3768, 12/2019, Volume 105, Issue 12, pp. 4909 - 4918

Micro surface modeling has been widely applied in micro scale systems, and the advanced modeling of micro surface is crucial to the development of micro scale systems...

Micro scale system | Micro sharp features | Infinite sharp features | Micro surface modeling | TOPOGRAPHY | OPTIMIZATION | ENGINEERING, MANUFACTURING | Subdivision scheme | AUTOMATION & CONTROL SYSTEMS

Micro scale system | Micro sharp features | Infinite sharp features | Micro surface modeling | TOPOGRAPHY | OPTIMIZATION | ENGINEERING, MANUFACTURING | Subdivision scheme | AUTOMATION & CONTROL SYSTEMS

Journal Article

International Journal of Dynamics and Control, ISSN 2195-268X, 9/2018, Volume 6, Issue 3, pp. 1272 - 1286

This paper presents an extended reduced-order observer (EROO) in order to improve the stability and voltage regulation of a synchronous machine connected to an infinite bus power system through a transmission line...

Engineering | Vibration, Dynamical Systems, Control | Control | Symmetric root locus | Automatic voltage regulator | Power system stabilizer | Extended reduced-order observer | Augmented system | Complexity | Synchronous machine infinite bus power system

Engineering | Vibration, Dynamical Systems, Control | Control | Symmetric root locus | Automatic voltage regulator | Power system stabilizer | Extended reduced-order observer | Augmented system | Complexity | Synchronous machine infinite bus power system

Journal Article

Cogent Engineering, ISSN 2331-1916, 01/2017, Volume 4, Issue 1

As an alternative to power system stabilizer, this paper presents a robust controller known as extended state observer (ESO...

augmented system | automatic voltage regulator | synchronous machine infinite bus power system | extended state observer | power system stabilizer | symmetric root locus | Robust control | Damping | Electric potential | Parameter uncertainty | Disturbances | Root locus | Automatic control | Control systems | State observers | Synchronous machines

augmented system | automatic voltage regulator | synchronous machine infinite bus power system | extended state observer | power system stabilizer | symmetric root locus | Robust control | Damping | Electric potential | Parameter uncertainty | Disturbances | Root locus | Automatic control | Control systems | State observers | Synchronous machines

Journal Article

International Mathematics Research Notices, ISSN 1073-7928, 05/2018, Volume 2018, Issue 9, pp. 2866 - 2898

Abstract For $k \ge 1$, we consider the $K$-algebra $H(k) := H(C,kD,\Omega)$ associated to a symmetrizable Cartan matrix $C$, a symmetrizer $D$ and an...

MATHEMATICS | INFINITE ROOT SYSTEMS | GENERAL REPRESENTATIONS | GRAPHS | Mathematics - Representation Theory | Mathematics | Representation Theory

MATHEMATICS | INFINITE ROOT SYSTEMS | GENERAL REPRESENTATIONS | GRAPHS | Mathematics - Representation Theory | Mathematics | Representation Theory

Journal Article

Annals of the Institute of Statistical Mathematics, ISSN 0020-3157, 10/2019, Volume 71, Issue 5, pp. 1121 - 1142

This paper studies maximum likelihood estimation of autoregressive models of order 1 with a near unit root and Cauchy errors...

Maximum likelihood estimator | Statistics for Business, Management, Economics, Finance, Insurance | Infinite variance | Autoregressive model | Statistics, general | Statistics | Near unit root | Cauchy distribution | CONFIDENCE-INTERVALS | TIME-SERIES | STATISTICS & PROBABILITY | INFINITE | INFERENCE | LIMIT THEORY | REGRESSIONS | Maximum likelihood estimation | Economic models | Null hypothesis | Statistical analysis | Autoregressive models | Normal distribution | Maximum likelihood estimators | Monte Carlo simulation | Cauchy problems

Maximum likelihood estimator | Statistics for Business, Management, Economics, Finance, Insurance | Infinite variance | Autoregressive model | Statistics, general | Statistics | Near unit root | Cauchy distribution | CONFIDENCE-INTERVALS | TIME-SERIES | STATISTICS & PROBABILITY | INFINITE | INFERENCE | LIMIT THEORY | REGRESSIONS | Maximum likelihood estimation | Economic models | Null hypothesis | Statistical analysis | Autoregressive models | Normal distribution | Maximum likelihood estimators | Monte Carlo simulation | Cauchy problems

Journal Article

Journal of The Institution of Engineers (India): Series B, ISSN 2250-2106, 4/2018, Volume 99, Issue 2, pp. 147 - 156

This paper presents a robust controller known as Extended State Observer (ESO) in order to improve the stability and voltage regulation of a synchronous machine connected to an infinite bus power system through a transmission line...

Engineering | Symmetric root locus | Automatic voltage regulator | Power system stabilizer | Communications Engineering, Networks | Extended state observer | Augmented system | Synchronous machine infinite bus power system

Engineering | Symmetric root locus | Automatic voltage regulator | Power system stabilizer | Communications Engineering, Networks | Extended state observer | Augmented system | Synchronous machine infinite bus power system

Journal Article

Archive for History of Exact Sciences, ISSN 1432-0657, 2005, Volume 60, Issue 1, pp. 1 - 121

...Digital Object Identiﬁer (DOI) 10.1007/s00407-005-0102-4 Arch. Hist. Exact Sci. 60 (2006) 1–121 The Rise of non-Archimedean Mathematics and the Roots...

Integers | Numbers | Line segments | Infinitesimals | Axioms | Infinity | Real numbers | Semigroups | Mathematical functions | Astrophysics | Mathematical and Computational Physics | Mathematics, general | Mathematics | Physics, general | Astronomy | History of Mathematics | EXPLANATION | FIELDS | QUANTITIES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | TRIANGLE | NUMBERS | CALCULUS | HISTORY & PHILOSOPHY OF SCIENCE | MODEL | INFINITE | GEOMETRY

Integers | Numbers | Line segments | Infinitesimals | Axioms | Infinity | Real numbers | Semigroups | Mathematical functions | Astrophysics | Mathematical and Computational Physics | Mathematics, general | Mathematics | Physics, general | Astronomy | History of Mathematics | EXPLANATION | FIELDS | QUANTITIES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | TRIANGLE | NUMBERS | CALCULUS | HISTORY & PHILOSOPHY OF SCIENCE | MODEL | INFINITE | GEOMETRY

Journal Article

Geometriae Dedicata, ISSN 0046-5755, 2/2015, Volume 174, Issue 1, pp. 43 - 73

In the recent study of infinite root systems, fractal patterns of ball packings were observed while visualizing roots in affine space...

Geometry | Ball packing | Infinite Coxeter groups | 05C30 | Limit roots | Mathematics | Limit sets | Lorentz space | 52C17 | Geometric representation | 20F55 | MATHEMATICS | DIMENSION | APOLLONIAN CIRCLE PACKINGS | SPHERE PACKINGS | GEOMETRY

Geometry | Ball packing | Infinite Coxeter groups | 05C30 | Limit roots | Mathematics | Limit sets | Lorentz space | 52C17 | Geometric representation | 20F55 | MATHEMATICS | DIMENSION | APOLLONIAN CIRCLE PACKINGS | SPHERE PACKINGS | GEOMETRY

Journal Article

Mathematics of Control, Signals, and Systems, ISSN 0932-4194, 9/2015, Volume 27, Issue 3, pp. 347 - 373

We consider single-input single-output systems whose internal dynamics are described by the heat equation on some domain $$\varOmega \subset {\mathbb {R}}^d$$ Ω...

Invariant zero | Heat equation | Systems Theory, Control | Control, Robotics, Mechatronics | Zero dynamics | High-gain output feedback | Root locus | Communications Engineering, Networks | Mathematics | Infinite-dimensional linear systems | Transmission zero | Pole | STABILIZATION | ENGINEERING, ELECTRICAL & ELECTRONIC | FEEDBACK DESIGN | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | REGULAR LINEAR-SYSTEMS | AUTOMATION & CONTROL SYSTEMS | Closed loop systems | Control systems | Boundary value problems | Dynamics | Eigenvalues | Dirichlet problem | Constants | Generators | Dynamical systems | Invariants | Heat equations

Invariant zero | Heat equation | Systems Theory, Control | Control, Robotics, Mechatronics | Zero dynamics | High-gain output feedback | Root locus | Communications Engineering, Networks | Mathematics | Infinite-dimensional linear systems | Transmission zero | Pole | STABILIZATION | ENGINEERING, ELECTRICAL & ELECTRONIC | FEEDBACK DESIGN | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | REGULAR LINEAR-SYSTEMS | AUTOMATION & CONTROL SYSTEMS | Closed loop systems | Control systems | Boundary value problems | Dynamics | Eigenvalues | Dirichlet problem | Constants | Generators | Dynamical systems | Invariants | Heat equations

Journal Article

American Journal of Mathematics, ISSN 0002-9327, 6/2014, Volume 136, Issue 3, pp. 807 - 832

We will prove that any weakly-split spherical Tits system (Β, N) in G = G(k) (G a quasireductive k-group, such as a connected reductive k-group...

Commutativity | Mathematical theorems | Algebra | Root systems | Infinite sets | Linear algebra | Images | Same sex marriage | Commutators | Spherical functions | Galois theory | Linear algebraic groups | Representations of groups | MATHEMATICS | RANK-2 | BN-PAIRS | Analysis | Group theory | Mathematics | Standards

Commutativity | Mathematical theorems | Algebra | Root systems | Infinite sets | Linear algebra | Images | Same sex marriage | Commutators | Spherical functions | Galois theory | Linear algebraic groups | Representations of groups | MATHEMATICS | RANK-2 | BN-PAIRS | Analysis | Group theory | Mathematics | Standards

Journal Article

Communications in Algebra, ISSN 0092-7872, 06/2018, Volume 46, Issue 6, pp. 2510 - 2533

The vertices of the four-dimensional 600-cell form a non-crystallographic root system whose corresponding symmetry group is the Coxeter group H 4...

Discretization of SU | icosahedral symmetry | quaternions | infinite reflection groups | golden numbers | non-crystallographic root systems | MATHEMATICS | Discretization | Quaternions | Quantum mechanics | Conjugation | Crystallography | Icosahedral phase | Rings (mathematics)

Discretization of SU | icosahedral symmetry | quaternions | infinite reflection groups | golden numbers | non-crystallographic root systems | MATHEMATICS | Discretization | Quaternions | Quantum mechanics | Conjugation | Crystallography | Icosahedral phase | Rings (mathematics)

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2011, Volume 2011, Issue 10

.... In particular, we compute their BPS spectra in several 'strongly coupled'chambers. From the TBA side, we construct ten new periodic Y-systems, providing additional evidence...

Bethe ansatz | Nonperturbative effects | Supersymmetric gauge theory | REPRESENTATIONS | CLASSIFICATION | DUALITY | CLUSTER ALGEBRAS | Bethe Ansatz | INFINITE ROOT SYSTEMS | INVARIANT-THEORY | Nonperturbative Effects | GRAPHS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Bethe ansatz | Nonperturbative effects | Supersymmetric gauge theory | REPRESENTATIONS | CLASSIFICATION | DUALITY | CLUSTER ALGEBRAS | Bethe Ansatz | INFINITE ROOT SYSTEMS | INVARIANT-THEORY | Nonperturbative Effects | GRAPHS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

No results were found for your search.

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