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1997, Memoirs of the American Mathematical Society, ISBN 9780821805947, Volume no. 603., viii, 122
Book
by Kac, VG
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
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
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 2019, Volume 346, pp. 592 - 611
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
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
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
Journal Article
数学年刊:B辑英文版, ISSN 0252-9599, 2011, Volume 32, Issue 6, pp. 917 - 928
Journal Article
by Gu, LC and Zheng, JJ and Dang, CY and Wu, ZT
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
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
Journal Article
Cogent Engineering, ISSN 2331-1916, 01/2017, Volume 4, Issue 1
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
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
Journal Article
Archive for History of Exact Sciences, ISSN 1432-0657, 2005, Volume 60, Issue 1, pp. 1 - 121
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
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
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)
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
Journal Article
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