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International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, 02/2018, Volume 49, Issue 2, pp. 268 - 281
In this paper, we reconstruct matrices from their minors, and give explicit formulas for the reconstruction of matrices of orders 2 × 3, 2 × 4, 2 × n, 3 × 6... 
Plücker relation | Matrix | minors | 15A06 | 97H60 | 15A15 | linear algebra | row equivalent matrices | Geometry | Algebra | Mathematics Instruction | Mathematical Formulas | Computation | Equations (Mathematics) | Geometric Concepts | Matrices | Mathematical Models | Reconstruction
Journal Article
The Mathematical Gazette, ISSN 0025-5572, 11/2018, Volume 102, Issue 555, pp. 401 - 412
What is an axiom? The meaning of the term ‘axiom’ varies between different fields of study. In philosophy it means a statement that is accepted without... 
Axioms | Linear algebra
Journal Article
International Journal of Algebra and Computation, ISSN 0218-1967, 09/2019, Volume 29, Issue 6, pp. 905 - 925
In this paper, we investigate the fundamental groups of Galois covers of planar Zappatic deformations of type E k . Using Moishezon–Teicher’s algorithm, we... 
Algorithms | Deformation
Journal Article
International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, 10/2016, Volume 47, Issue 7, pp. 1087 - 1102
The staircase and fractional part functions are basic examples of real functions. They can be applied in several parts of mathematics, such as analysis, number... 
challenging problems | calculus learning | analytical thinking | visual representation | Staircase functions | fractional part functions | College Mathematics | Validity | Mathematics Instruction | Definitions | Mathematical Concepts | Graphs | Calculus | Mathematical Logic | Fractions | Concept Formation
Journal Article
International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, 08/2015, Volume 46, Issue 6, pp. 944 - 951
In this paper, we discuss the use of the min and max functions in teaching calculus to engineering students. Our experience illustrates that such functions... 
concept definition | challenge problems | calculus learning | analytical thinking | visual representation | cognition-based teaching | Calculus
Journal Article
Teaching of Mathematics, ISSN 1451-4966, 2019, Volume 22, Issue 1, pp. 17 - 32
Journal Article
Electronic Journal of Combinatorics, ISSN 1077-8926, 10/2017, Volume 24, Issue 4
We study certain quotients of generalized Artin groups which have a natural map onto D-type Artin groups, where the generalized Artin group A(T) is defined by... 
Artin groups | Signed graphs | MATHEMATICS | MATHEMATICS, APPLIED | FUNDAMENTAL-GROUPS | signed graphs | GALOIS COVERS | COXETER COVERS | SURFACES
Journal Article
Journal of Knot Theory and Its Ramifications, ISSN 0218-2165, 02/2014, Volume 23, Issue 2, pp. 1450009 - 1-1450009-32
We investigate the local contribution of the braid monodromy factorization in the context of the links obtained by the closure of these braids. We consider... 
Singularity | Knot | MATHEMATICS | COMPLEMENT | FUNDAMENTAL GROUP | GALOIS COVERS | REGENERATION | singularity | X T | ARRANGEMENTS | BRANCH CURVE | SURFACES | Links | Conics | Braiding | Curves | Algebra | Planes | Degeneration | Knot theory | Factorization
Journal Article
Revista Matemática Complutense, ISSN 1139-1138, 07/2009, Volume 22, Issue 2
Journal Article
Advances in Applied Mathematics, ISSN 0196-8858, 08/2013, Volume 51, Issue 3, pp. 392 - 418
We classify moduli spaces of arrangements of 10 lines with quadruple points. We show that moduli spaces of arrangements of 10 lines with quadruple points may... 
Moduli spaces | Irreducibility | Line arrangements | COMPLEMENTS | MATHEMATICS, APPLIED | FUNDAMENTAL GROUP | DIFFEOMORPHIC TYPES | Positioning | Conjugation | Quotients | Mathematical analysis | Disengaging | Classification
Journal Article
Revista Matematica Complutense, ISSN 1139-1138, 2009, Volume 22, Issue 2, pp. 517 - 550
Journal Article
Topology and its Applications, ISSN 0166-8641, 09/2015, Volume 193, pp. 226 - 247
It is clear that a geometric symmetry of a line arrangement induces a combinatorial one; we study the converse situation. We introduce a strategy that exploits... 
Rybnikov | Falk–Sturmfels | Oriented matroid | Matroid | Pseudoline arrangement | Falk-Sturmfels | MATHEMATICS | MATHEMATICS, APPLIED | PROJECTIVE LINES | MODULI SPACES
Journal Article
Acta Mathematica Sinica, English Series, ISSN 1439-8516, 09/2009, Volume 25, Issue 9, pp. 1443 - 1458
Journal Article
Acta Mathematica Sinica. English Series, ISSN 1439-8516, 09/2009, Volume 25, Issue 9, p. 1443
Denoting by T the complex projective torus, we can embed the surface ^sup 1^× T in ^sup 5^. In this paper we compute the fundamental group of the complement of... 
Studies | Geometry | Algebraic group theory
Journal Article
Acta Mathematica Sinica, ISSN 1439-8516, 09/2009, Volume 25, Issue 9, p. 1443
Denoting by T the complex projective torus, we can embed the surface [aa.sup.1]x T in aa.sup.5. In this paper we compute the fundamental group of the... 
Journal Article
Acta Mathematica Sinica, ISSN 1439-8516, 09/2009, Volume 25, Issue 9, pp. 1443 - 1458
Denoting by T the complex projective torus, we can embed the surface (1) T in (5). In this paper we compute the fundamental group of the complement of the... 
Journal Article
Michigan Mathematical Journal, ISSN 0026-2285, 2006, Volume 54, Issue 3, pp. 587 - 610
Journal Article
International Journal of Algebra and Computation, ISSN 0218-1967, 12/2008, Volume 18, Issue 8, pp. 1259 - 1282
Journal Article
Journal of Knot Theory and Its Ramifications, ISSN 0218-2165, 06/2012, Volume 21, Issue 7, pp. 1250061 - 1250044
Computation of fundamental groups of Galois covers recently led to the construction and analysis of Coxeter covers of the symmetric groups [L. H. Rowen, M.... 
Braid groups | Artin groups | Fundamental groups | MATHEMATICS | braid groups | fundamental groups | GALOIS COVER | FUNDAMENTAL GROUP | QUOTIENT | X T | SURFACES | Construction | Knot theory | Computation | Braiding | Group theory
Journal Article
Turkish Journal of Mathematics, ISSN 1300-0098, 2015, Volume 39, Issue 5, pp. 618 - 644
In this paper, we try to classify moduli spaces of arrangements of 11 lines with quintuple points. We show that moduli spaces of arrangements of 11 lines with... 
Irreducibility | Moduli spaces | Line arrangements | moduli spaces | COMPLEMENTS | MATHEMATICS | FUNDAMENTAL GROUP | irreducibility | DIFFEOMORPHIC TYPES
Journal Article
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