CHAPTER 4: SOME OTHER FUNCTIONS 1. The Absolute Value 1.1
... the integers are separated from each other on the real line – i.e. they are a ‘discrete’ set – the graphs of such functions tend to have sudden discrete jumps. Functions like this arise naturally in the mathematics of electronic technology. Definition 2.1. (The ‘greatest integer function’ ): For any ...
... the integers are separated from each other on the real line – i.e. they are a ‘discrete’ set – the graphs of such functions tend to have sudden discrete jumps. Functions like this arise naturally in the mathematics of electronic technology. Definition 2.1. (The ‘greatest integer function’ ): For any ...
Math 8301, Manifolds and Topology Homework 8 1. Show that S
... by gluing together S 2 and S 1 at a single point. 3. Suppose X and Y are path-connected spaces, p : Y → X is a covering map, and y ∈ Y . Let the image of π1 (Y, y) in the fundamental group G = π1 (X, p(y)) be the subgroup H. Let N H be the normalizer of H in G. Show that there is a bijection between ...
... by gluing together S 2 and S 1 at a single point. 3. Suppose X and Y are path-connected spaces, p : Y → X is a covering map, and y ∈ Y . Let the image of π1 (Y, y) in the fundamental group G = π1 (X, p(y)) be the subgroup H. Let N H be the normalizer of H in G. Show that there is a bijection between ...
Exam 2 Review 2.1-2.5, 3.1-3.4 2.1:Coordinate Geometry 2.2: Linear
... – A graph has y-axis symmetry if replacing x with -x results in an equivalent equation – A graph has x-axis symmetry if replacing y with -y results in an equivalent equation – A graph has origin symmetry if replacing both x with -x and y with -y results in an equivalent equation • Be familiar with c ...
... – A graph has y-axis symmetry if replacing x with -x results in an equivalent equation – A graph has x-axis symmetry if replacing y with -y results in an equivalent equation – A graph has origin symmetry if replacing both x with -x and y with -y results in an equivalent equation • Be familiar with c ...
On matrix theory, graph theory, and finite geometry
... set of matrices that preserve some function, subset or a relation. If the studied maps are bijective by the assumption, then the characterization of the maps involved is often easier to obtain. In the case of certain preservers of binary relations it turns out that bijectivity can be deduced automat ...
... set of matrices that preserve some function, subset or a relation. If the studied maps are bijective by the assumption, then the characterization of the maps involved is often easier to obtain. In the case of certain preservers of binary relations it turns out that bijectivity can be deduced automat ...
Italo Jose Dejter
Italo Jose Dejter (Bahia Blanca, 1939) is an Argentine-born American mathematician of Bessarabian Jewish descent. He is a professor at the University of Puerto Rico (UPRRP) since 1984 and has conducted research in mathematics, particularly in areas that include algebraic topology, differential topology, graph theory, coding theory and design theory.He has an Erdos number of 2 since 1993.Dejter completed the Licentiate degree in Mathematics from University of Buenos Aires in 1967, and the Ph.D. degree in Mathematics from Rutgers University in 1975 under the supervision of Ted Petrie. He was a professor atFederal University of Santa Catarina, Brazil, from 1977 to 1984. Dejter has been a visiting scholar at a number of research institutions, including University of São Paulo,Instituto Nacional de Matemática Pura e Aplicada, Federal University of Rio Grande do Sul,University of Cambridge,National Autonomous University of Mexico, Simon Fraser University, University of Victoria, New York University, University of Illinois at Urbana–Champaign, McMaster University,DIMACS, Autonomous University of Barcelona, Technical University of Denmark, Auburn University, Polytechnic University of Catalonia, Technical University of Madrid, Charles University, Ottawa University, Simón Bolívar University, etc. The sections below describe the relevance of Dejter's work in the research areas mentioned in the first paragraph above, or in the box to the right.