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Author: Gunther Schmidt
Publisher: Springer
ISBN: 3319744518
Category : Mathematics
Languages : en
Pages : 200
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Book Description
This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology. Although these objects mirror the matrices that appear throughout mathematics, numerics, statistics, engineering, and elsewhere, the methods used to work with them are much less well known. In addition to their purely topological applications, the volume also details how the techniques may be successfully applied to spatial reasoning and to logics of computer science. Topologists will find several familiar concepts presented in a concise and algebraically manipulable form which is far more condensed than usual, but visualized via represented relations and thus readily graspable. This approach also offers the possibility of handling topological problems using proof assistants.
Author: Gunther Schmidt
Publisher: Springer
ISBN: 3319744518
Category : Mathematics
Languages : en
Pages : 200
Get Book Here
Book Description
This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology. Although these objects mirror the matrices that appear throughout mathematics, numerics, statistics, engineering, and elsewhere, the methods used to work with them are much less well known. In addition to their purely topological applications, the volume also details how the techniques may be successfully applied to spatial reasoning and to logics of computer science. Topologists will find several familiar concepts presented in a concise and algebraically manipulable form which is far more condensed than usual, but visualized via represented relations and thus readily graspable. This approach also offers the possibility of handling topological problems using proof assistants.
Author: Michael Epperson
Publisher: Lexington Books
ISBN: 0739180339
Category : Philosophy
Languages : en
Pages : 441
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Book Description
If there is a central conceptual framework that has reliably borne the weight of modern physics as it ascends into the twenty-first century, it is the framework of quantum mechanics. Because of its enduring stability in experimental application, physics has today reached heights that not only inspire wonder, but arguably exceed the limits of intuitive vision, if not intuitive comprehension. For many physicists and philosophers, however, the currently fashionable tendency toward exotic interpretation of the theoretical formalism is recognized not as a mark of ascent for the tower of physics, but rather an indicator of sway—one that must be dampened rather than encouraged if practical progress is to continue. In this unique two-part volume, designed to be comprehensible to both specialists and non-specialists, the authors chart out a pathway forward by identifying the central deficiency in most interpretations of quantum mechanics: That in its conventional, metrical depiction of extension, inherited from the Enlightenment, objects are characterized as fundamental to relations—i.e., such that relations presuppose objects but objects do not presuppose relations. The authors, by contrast, argue that quantum mechanics exemplifies the fact that physical extensiveness is fundamentally topological rather than metrical, with its proper logico-mathematical framework being category theoretic rather than set theoretic. By this thesis, extensiveness fundamentally entails not only relations of objects, but also relations of relations. Thus, the fundamental quanta of quantum physics are properly defined as units of logico-physical relation rather than merely units of physical relata as is the current convention. Objects are always understood as relata, and likewise relations are always understood objectively. In this way, objects and relations are coherently defined as mutually implicative. The conventional notion of a history as “a story about fundamental objects” is thereby reversed, such that the classical “objects” become the story by which we understand physical systems that are fundamentally histories of quantum events. These are just a few of the novel critical claims explored in this volume—claims whose exemplification in quantum mechanics will, the authors argue, serve more broadly as foundational principles for the philosophy of nature as it evolves through the twenty-first century and beyond.
Author: Stanisław Gniłka
Publisher:
ISBN:
Category : Closure operators
Languages : en
Pages : 110
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Book Description
Author: Z. Frolík
Publisher: Academic Press
ISBN: 1483223531
Category : Mathematics
Languages : en
Pages : 366
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Book Description
General Topology and Its Relations to Modern Analysis and Algebra II is comprised of papers presented at the Second Symposium on General Topology and its Relations to Modern Analysis and Algebra, held in Prague in September 1966. The book contains expositions and lectures that discuss various subject matters in the field of General Topology. The topics considered include the algebraic structure for a topology; the projection spectrum and its limit space; some special methods of homeomorphism theory in infinite-dimensional topology; types of ultrafilters on countable sets; the compactness operator in general topology; and the algebraic generalization of the topological theorems of Bolzano and Weierstrass. This publication will be found useful by all specialists in the field of Topology and mathematicians interested in General Topology.
Author: R. Vaidyanathaswamy
Publisher: Courier Corporation
ISBN: 9780486404561
Category : Mathematics
Languages : en
Pages : 292
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Book Description
This introductory text covers the algebra of subsets and of rings and fields of sets, complementation and ideal theory in the distributive lattice, closure function, neighborhood topology, much more. Includes numerous exercises. 1960 edition.
Author: Wolfram Kahl
Publisher: Springer
ISBN: 3642333141
Category : Mathematics
Languages : en
Pages : 370
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Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 13th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 13, held in Cambridge, UK, in September 2012. The 23 revised full papers presented were carefully selected from 39 submissions in the general area of relational and algebraic methods in computer science, adding special focus on formal methods for software engineering, logics of programs and links with neighboring disciplines. The papers are structured in specific fields on applications to software specification and correctness, mechanized reasoning in relational algebras, algebraic program derivation, theoretical foundations, relations and algorithms, and properties of specialized relations.
Author: Peter Höfner
Publisher: Springer
ISBN: 3319574183
Category : Mathematics
Languages : en
Pages : 335
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Book Description
This book constitutes the proceedings of the 16th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2017, held in Lyon, France, in May 2017. The 17 revised full papers and 2 invited papers presented together with 1 invited abstract were carefully selected from 28 submissions. Topics covered range from mathematical foundations to applications as conceptual and methodological tools in computer science and beyond.
Author: Thanasis Hadzilacos
Publisher: Springer Science & Business Media
ISBN: 3540405356
Category : Business & Economics
Languages : en
Pages : 541
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Book Description
This book constitutes the refereed proceedings of the 8th International Symposium on Spatial and Temporal Databases, SSTD 2003, held at Santorini Island, Greece in July 2003. The 28 revised full papers presented together with a keynote paper were carefully reviewed and selected from 105 submissions. the papers are organized in topical sections on access methods, advanced query processing, data mining and data warehousing, distance-based queries, mobility and moving points management, modeling and languages, similarity processing, systems and implementation issues.
Author: R. Jeffrey Ringer
Publisher: NYU Press
ISBN: 0814774407
Category : Social Science
Languages : en
Pages : 361
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Book Description
In many arenas the debate is raging over the nature of sexual orientation. Queer Words, Queer Images addresses this debate, but with a difference, arguing that homosexuality has become an issue precisely because of the way in which we discuss, debate, and communicate about the concept and experience of homosexuality. The debate over homosexuality is fundamentally an issue of communication—as we can see by the recent controversy over gays in the military. This controversy, termed by one gay man as the annoying habit of heterosexual men to overestimate their own attractiveness, has been debated in communication-sensitive terms, such as morale and discipline. The twenty chapters address such subjects as gay political language, homosexuality and AIDS on prime-time television, the politics of male homosexuality in young adult fiction, the identification of female athleticism with lesbianism, the politics of identity in the works of Edmund White, and coming out strategies. This is must reading for students of communication practices and theory, and for everyone interested in human sexuality. Contributing to the book are: James Chesebro (Indiana State), James Darsey (Ohio State), Joseph A. Devito (Hunter College, CUNY), Timothy Edgar (Purdue), Mary Anne Fitzpatrick (Wisconsin, Madison), Karen A. Foss (Humboldt State), Kirk Fuoss (St. Lawrence), Larry Gross (Pennsylvania), Darlene Hantzis (Indiana State), Fred E. Jandt (California State, San Bernardino), Mercilee Jenkins (San Francisco State), Valerie Lehr (St. Lawrence), Lynn C. Miller (Texas, Austin), Marguerite Moritz (Colorado, Boulder), Fred L. Myrick (Spring Hill), Emile Netzhammer (Buffalo State), Elenie Opffer, Dorothy S. Painter (Ohio State), Karen Peper (Michigan), Nicholas F. Radel (Furman), R. Jeffrey Ringer (St. Cloud State), Scott Shamp (Georgia), Paul Siegel (Gallaudet), Jacqueline Taylor (Depaul), Julia T. Wood (North Carolina, Chapel Hill).
Author: Alec D. Walen
Publisher: Oxford University Press
ISBN: 0190872055
Category : Philosophy
Languages : en
Pages : 265
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Book Description
According to the dominant account of rights, there are two ways to permissibly kill people: they have done something to forfeit their right to life, or their rights are outweighed by the significantly greater cost of respecting them. Contemporary just war theorists tend to agree that it is difficult to justify killing in the second way. Thus, they focus on the conditions under which rights might be forfeited. But it has proven hard to defend an account of forfeiture that permits killing when and only when it is morally justifiable. In The Mechanics of Claims and Permissible Killing in War, Alec D. Walen develops an alternative account of rights according to which rights forfeiture has a much smaller role to play. It plays a smaller role because rights themselves are more contextually contingent. They systematically reflect the different kinds of claims people can make on an agent. For example, those who threaten to cause harm without a right to do so have weaker claims not to be killed than innocent bystanders or those who have a right to threaten to cause harm. By framing rights as the output of a balance of competing claims, and by laying out a detailed account of how to balance competing claims, Walen provides a more coherent account of when killing in war is permissible.
