Pseudo-Boolean Methods for Bivalent Programming PDF Download
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Author: P. L. Ivanescu
Publisher: Springer
ISBN: 3540348352
Category : Mathematics
Languages : en
Pages : 123
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Author: P. L. Ivanescu
Publisher: Springer
ISBN: 3540348352
Category : Mathematics
Languages : en
Pages : 123
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Book Description
Author: M. Arkowitz
Publisher: Springer
ISBN: 3540349685
Category : Mathematics
Languages : en
Pages : 39
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Many of the sets that one encounters in homotopy classification problems have a natural group structure. Among these are the groups [A, nX] of homotopy classes of maps of a space A into a loop-space nx. Other examples are furnished by the groups (̃y) of homotopy classes of homotopy equivalences of a space Y with itself. The groups [A, nX] and (̃Y) are not necessarily abelian. It is our purpose to study these groups using a numerical invariant which can be defined for any group. This invariant, called the rank of a group, is a generalisation of the rank of a finitely generated abelian group. It tells whether or not the groups considered are finite and serves to distinguish two infinite groups. We express the rank of subgroups of [A, nX] and of C(Y) in terms of rational homology and homotopy invariants. The formulas which we obtain enable us to compute the rank in a large number of concrete cases. As the main application we establish several results on commutativity and homotopy-commutativity of H-spaces. Chapter 2 is purely algebraic. We recall the definition of the rank of a group and establish some of its properties. These facts, which may be found in the literature, are needed in later sections. Chapter 3 deals with the groups [A, nx] and the homomorphisms f*: [B, nl̃ ̃[A, nx] induced by maps f: A ̃B. We prove a general theorem on the rank of the intersection of coincidence subgroups (Theorem 3. 3).
Author: Thomas L. Saaty
Publisher: RWS Publications
ISBN: 1888603372
Category : Business & Economics
Languages : en
Pages : 310
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This text, the first of its kind, surveys the entire field of optimization in integers. It is designed for students of mathematics, engineering, science, social science, and operations research. It will stimulate and excite the reader's interest in the elementary methods and ideas. of discrete optimization and related problems. The text presents the current theories and a wide variety of examples and applications of optimization in integers in both geometric end algebraic settings. Coverage is given to a wide class of problems and the ways in which they may be handled. The text includes numerous exercises and illustrations.
Author: A. Fröhlich
Publisher: Springer
ISBN: 3540359168
Category : Mathematics
Languages : en
Pages : 147
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Author: H. Appelgate
Publisher: Springer
ISBN: 3540360913
Category : Mathematics
Languages : en
Pages : 408
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Author: Richard G. Swan
Publisher: Springer
ISBN: 3540359176
Category : Mathematics
Languages : en
Pages : 269
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From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis. The results on K-theory are mostly of a very general nature."
Author: Michael R. Stein
Publisher: Springer
ISBN: 3540379649
Category : Mathematics
Languages : en
Pages : 428
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Author: Moshe Machover
Publisher: Springer
ISBN: 3540361294
Category : Mathematics
Languages : en
Pages : 84
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Author: Maurice Heins
Publisher: Springer
ISBN: 3540361391
Category : Mathematics
Languages : en
Pages : 113
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Author: Myles Tierney
Publisher: Springer
ISBN: 3540360964
Category : Mathematics
Languages : en
Pages : 71
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