Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Transfiniteness PDF full book. Access full book title Transfiniteness by Armen H. Zemanian. Download full books in PDF and EPUB format.
Author: Armen H. Zemanian Publisher: Springer Science & Business Media ISBN: 1461207673 Category : Mathematics Languages : en Pages : 252
Book Description
"What good is a newborn baby?" Michael Faraday's reputed response when asked, "What good is magnetic induction?" But, it must be admitted that a newborn baby may die in infancy. What about this one- the idea of transfiniteness for graphs, electrical networks, and random walks? At least its bloodline is robust. Those subjects, along with Cantor's transfinite numbers, comprise its ancestry. There seems to be general agreement that the theory of graphs was born when Leonhard Euler published his solution to the "Konigsberg bridge prob lem" in 1736 [8]. Similarly, the year of birth for electrical network theory might well be taken to be 184 7, when Gustav Kirchhoff published his volt age and current laws [ 14]. Ever since those dates until just a few years ago, all infinite undirected graphs and networks had an inviolate property: Two branches either were connected through a finite path or were not connected at all. The idea of two branches being connected only through transfinite paths, that is, only through paths having infinitely many branches was never invoked, or so it appears from a perusal of various surveys of infinite graphs [17], [20], [29], [32]. Our objective herein is to explore this idea and some of its ramifications. It should be noted however that directed graphs having transfinite paths have appeared in set theory [6, Section 4.
Author: Armen H. Zemanian Publisher: Springer Science & Business Media ISBN: 1461207673 Category : Mathematics Languages : en Pages : 252
Book Description
"What good is a newborn baby?" Michael Faraday's reputed response when asked, "What good is magnetic induction?" But, it must be admitted that a newborn baby may die in infancy. What about this one- the idea of transfiniteness for graphs, electrical networks, and random walks? At least its bloodline is robust. Those subjects, along with Cantor's transfinite numbers, comprise its ancestry. There seems to be general agreement that the theory of graphs was born when Leonhard Euler published his solution to the "Konigsberg bridge prob lem" in 1736 [8]. Similarly, the year of birth for electrical network theory might well be taken to be 184 7, when Gustav Kirchhoff published his volt age and current laws [ 14]. Ever since those dates until just a few years ago, all infinite undirected graphs and networks had an inviolate property: Two branches either were connected through a finite path or were not connected at all. The idea of two branches being connected only through transfinite paths, that is, only through paths having infinitely many branches was never invoked, or so it appears from a perusal of various surveys of infinite graphs [17], [20], [29], [32]. Our objective herein is to explore this idea and some of its ramifications. It should be noted however that directed graphs having transfinite paths have appeared in set theory [6, Section 4.
Author: Armen H. Zemanian Publisher: Springer Science & Business Media ISBN: 1461201632 Category : Mathematics Languages : en Pages : 189
Book Description
This volume provides a relatively accessible introduction to its subject that captures the essential ideas of transfiniteness for graphs and networks.
Author: Armen H. Zemanian Publisher: Springer Science & Business Media ISBN: 0817681787 Category : Mathematics Languages : en Pages : 207
Book Description
This self-contained book examines results on transfinite graphs and networks achieved through continued research effort over the past several years. These new results, covering the mathematical theory of electrical circuits, are different from those presented in two previously published books by the author, Transfiniteness for Graphs, Electrical Networks, and Random Walks and Pristine Transfinite Graphs and Permissive Electrical Networks. Specific topics covered include connectedness ideas, distance ideas, and nontransitivity of connectedness. The book will appeal to a diverse readership, including graduate students, electrical engineers, mathematicians, and physicists working on infinite electrical networks. Moreover, the growing and presently substantial number of mathematicians working in nonstandard analysis may well be attracted by the novel application of the analysis employed in the work.
Author: Peter Baofu Publisher: Cambridge Scholars Publishing ISBN: 1443812129 Category : Religion Languages : en Pages : 405
Book Description
Why should some essential properties of geometry (i.e., infinity, symmetry, and dimensionality) be both necessary and desirable in the way that they have been constructed—albeit with different modifications over time—since time immemorial? Contrary to the conventional wisdom in all history hitherto existing, the essential properties of geometry do not have to be both necessary and desirable. This is not to suggest, of course, that one has nothing to learn from geometry. On the contrary, geometry has contributed to the advancement of knowledge in many ways since its inception as a field of knowledge some millennia ago. The point in this book, however, is to show an alternative (better) way to understand the nature of geometry, which goes beyond human conception, intuition, and imagination, together with worldly experience of course, as its foundation, while learning from them all—with theoretical implications for time travel, hyperspace, and other important issues. If true, this seminal view will fundamentally change the way that the nature of abstraction in the thinking process is to be understood, with its enormous implications for the future advancement of knowledge, in a small sense, and what I originally called its “post-human” fate, in a large one.
Author: Peter Baofu Publisher: IAP ISBN: 1623966841 Category : Business & Economics Languages : en Pages : 721
Book Description
Is the invention of accounting so useful that, as Charlie Munger once said, “you have to know accounting. It's the language of practical business life. It was a very useful thing to deliver to civilization. I've heard it came to civilization through Venice which of course was once the great commercial power in the Mediterranean”? (WOO 2013) This positive view on accounting can be contrasted with an opposing view by Paul Browne that “the recent [accounting] scandals have brought a new level of attention to the accounting profession as gatekeepers and custodians of social interest.” (DUM 2013) Contrary to these opposing views (and other ones as will be discussed in the book), accounting (in relation to addition and subtraction) are neither possible (or impossible) nor desirable (or undesirable) to the extent that the respective ideologues (on different sides) would like us to believe. Of course, this reexamination of different opposing views on accounting does not mean that the study of addition and subtraction is useless, or that those fields (related to accounting)—like bookkeeping, auditing, forensics, info management, finance, philosophy of accounting, accounting ethics, lean accounting, mental accounting, environmental audit, creative accounting, carbon accounting, social accounting, and so on—are unimportant. (WK 2013) In fact, neither of these extreme views is plausible. Rather, this book offers an alternative (better) way to understand the future of accounting in regard to the dialectic relationship between addition and subtraction—while learning from different approaches in the literature but without favoring any one of them (nor integrating them, since they are not necessarily compatible with each other). More specifically, this book offers a new theory (that is, the double-sided theory of accounting) to go beyond the existing approaches in a novel way and is organized in four chapters. This seminal project will fundamentally change the way that we think about accounting in relation to addition and subtraction from the combined perspectives of the mind, nature, society, and culture, with enormous implications for the human future and what I originally called its “post-human” fate.
Author: Peter Baofu Publisher: Cambridge Scholars Publishing ISBN: 1443844853 Category : Technology & Engineering Languages : en Pages : 560
Book Description
Are the performing arts really supposed to be so radical that, as John Cage once said in the context of music, “there is no noise, only sound,” since “he argued that any sounds we can hear can be music”? (WK 2007a; D. Harwood 1976) This radical tradition in performing arts, with music as an example here, can be contrasted with an opposing view in the older days, when “Greek philosophers and medieval theorists in music defined music as tones ordered horizontally as melodies, and vertically as harmonies. Music theory, within this realm, is studied with the presupposition that music is orderly and often pleasant to hear.” (WK 2007a) Contrary to these opposing traditions (and other views as will be discussed in the book), performing arts, in relation to both the body and its presence, is neither possible nor desirable to the extent that the respective ideologues on different sides would like us to believe. Needless to say, the challenge to these opposing traditions in performing arts does not imply that performing arts are worthless human endeavors, or that those fields of study related to performing arts like aesthetics, acoustics, communication studies, psychology, culture studies, sociology, religion, morality, and so on should be rejected too. Of course, neither of these extreme views is reasonable. Instead, this book provides an alternative, better way of understanding the future of performing arts, especially in the dialectic context of the body and its presence—while learning from different approaches in the literature but without favoring any one of them or integrating them, since they are not necessarily compatible with each other. In other words, this book offers a new theory (that is, the transdisiciplinary theory of performing arts) to go beyond the existing approaches in a novel way. If successful, this seminal project will fundamentally change the way that we think about performing arts, from the combined perspectives of the mind, nature, society, and culture, with enormous implications for the human future and what the author originally called its “post-human” fate.
Author: Peter Baofu Publisher: Cambridge Scholars Publishing ISBN: 1443844845 Category : Bibles Languages : en Pages : 615
Book Description
Is culinary art really so exact that, as Delia Smith once wrote, “cooking is an exact art and not some casual game”? (BQ 2012) This exact view of cooking can be contrasted with an opposing observation by Tom Jaine, when he argued that, “if cooking becomes an art form rather than a means of providing a reasonable diet, then something is clearly wrong.” (BQ 2012a) Contrary to these opposing views (and other ones as will be discussed in the book), culinary art, in relation to both ingredients and techniques, is neither possible or impossible, nor desirable or undesirable, to the extent that the respective ideologues on different sides would like us to believe. Needless to say, this challenge to the opposing views of cooking does not mean that culinary art has no practical value, or that those interdisciplinary fields (related to culinary art) like food science, nutritional economics, food chemistry, food aesthetics, the ethics of killing for food, molecular gastronomy, food rheology, food photography, Shechita, the science of aphrodisiacs, and so on, are unimportant. Of course, neither of these extreme views is reasonable. Rather, this book offers an alternative, better way to understand the future of culinary art, especially in the dialectic context of ingredients and techniques—while learning from different approaches in the literature but without favoring any one of them or integrating them, since they are not necessarily compatible with each other. More specifically, this book offers a new theory (that is, the inquisitive theory of culinary art) to go beyond the existing approaches in a novel way. If successful, this seminal project is to fundamentally change the way that we think about culinary art in relation to ingredients and techniques from the combined perspectives of the mind, nature, society, and culture, with enormous implications for the human future and what the author originally called its “post-human” fate.
Author: Peter Baofu Publisher: Cambridge Scholars Publishing ISBN: 1443833339 Category : Fiction Languages : en Pages : 515
Book Description
Is chemistry really so valuable that, as Theodore L. Brown (2011) and his colleagues continue to claim in the twelfth edition of their work in 2011, chemistry is “the central science” in connecting the physical sciences with the life and applied sciences? (WK 2011 & 2011; C. Reinhardt 2001) This crowning of chemistry, however, can be contrasted with an opposing view, as Michael Polanyi once questioned the centrality of chemistry, when he wrote that “[n]o inanimate object is ever fully determined by the laws of . . . chemistry,” so other fields of study are just as important. (BQ 2011) Contrary to these conflicting views about chemistry (and other ones discussed in the book), chemistry, in relation to substances and their changes, is neither possible nor desirable to the extent that the respective ideologues on different sides would like us to believe. This challenge to the conflicting views about chemistry does not mean, however, that chemistry is useless, or that those fields of study related to chemistry like astronomy, physics, geology, mathematics, material science, biology, psychology, computer science, and so on should be ignored too. Of course, neither of these extreme views is reasonable. Instead, this book provides an alternative, better way of understanding the future of chemistry —especially in the dialectic context of substances and their changes—while learning from different approaches in literature but without favoring any one of them or integrating them, since they are not necessarily compatible with each other. This book offers a new theory (that is, the creational theory of chemistry) to go beyond the existing approaches to literature in an original way. If successful, this seminal project will fundamentally change the way that we think about chemistry, from the combined perspectives of the mind, nature, society, and culture, with enormous implications for the human future and what the author originally called its “post-human” fate.
Author: Peter Baofu Publisher: Cambridge Scholars Publishing ISBN: 1443845051 Category : Juvenile Nonfiction Languages : en Pages : 615
Book Description
Can transportation really have such a destructive impact on society that, as Jay Holtz Kay (1998) once forcefully wrote, with the automobile industry as an example, that “the modern consequences of heavy automotive use contribute to the use of non-renewable fuels, a dramatic increase in the rate of accidental death, social isolation, the disconnection of community, the rise in obesity, the generation of air and noise pollution, urban sprawl, and urban decay”? (WK 2012) This negative expectation from transportation, with the automobile industry as an example here, can be contrasted with an opposing (positive) expectation in the old “glory days” when, as Skip McGoun (2012) thus reminded us, “we have sung songs about the glory and wonder that surrounds the very concept of the car. Examples of this range from the 1909 tune, ‘In My Merry Oldsmobile,’ to what is considered to be the first rock and roll song, ‘Rocket 88,’ in 1949. . . . Motion pictures have portrayed . . . expensive sleek sports cars . . . associated with wealth and success. . . . One commercial described Hell as being a place where a teenager would have to drive a minivan!” Contrary to these opposing expectations (and other views as will be discussed in the book), transportation, in relation to both networks and operations, is neither possible or impossible, nor desirable or undesirable, to the extent that the respective ideologues on different sides would like us to believe. This challenge to the opposing expectations from transportation does not mean that transportation is useless, or that those interdisciplinary fields (related to transportation studies) like urban planning, environmental sustainability, migration, tourism, transport economics, traffic engineering, transportation technology, energy efficiency, the tragedy of the commons, and so on are unimportant. Needless to say, neither of these extreme views is reasonable. Rather, this book offers an alternative, better way to understand the future of transportation, especially in the dialectic context of networks and operations—while learning from different approaches in the literature but without favoring any one of them or integrating them, since they are not necessarily compatible with each other. More specifically, this book offers a new theory (that is, the panoramic theory of transportation) to go beyond the existing approaches in a novel way. If successful, this seminal project is to fundamentally change the way that we think about transportation in relation to networks and operations from the combined perspectives of the mind, nature, society, and culture, with enormous implications for the human future and what the author originally called its “post-human” fate.
Author: Peter Baofu Publisher: Cambridge Scholars Publishing ISBN: 1443867063 Category : Social Science Languages : en Pages : 704
Book Description
Are natural resources really so limited that, as Mahatma Gandhi once famously said, “Earth provides enough to satisfy every man’s need, but not every man’s greed”? (TE 2012) This limiting view of natural resources can be contrasted with an opposing view by John Maynard Keynes, who “summarized Say’s Law as ‘supply creates its own demand’” but then “turned Say’s Law on its head in the 1930s by declaring that demand creates its own supply,” so whenever a demand exists, there will be resources to create the supply. (EN 2012) Contrary to these opposing views (and other ones as will be discussed in the book), natural resources, in relation to both diversity and discontinuity are neither possible or impossible, nor desirable or undesirable to the extent that the respective ideologues on different sides would like us to believe. Needless to say, this challenge to the opposing views of natural resources does not mean that natural resources are unimportant, or that those interdisciplinary fields (related to natural resources) like conservation biology, environmental management, ecological economics, political ecology, environmental ethics, adaptive management, genetic engineering, Malthusianism, and so on are not worth studying. Of course, neither of these extreme views is reasonable. Rather, this book offers an alternative, better way to understand the future of natural resources, especially in the dialectic context of diversity and discontinuity—while learning from different approaches in the literature but without favoring any one of them or integrating them, since they are not necessarily compatible with each other. More specifically, this book offers a new theory (that is, the resilient theory of natural resources) to go beyond the existing approaches in a novel way. If successful, this seminal project is to fundamentally change the way that we think about natural resources in relation to diversity and discontinuity from the combined perspectives of the mind, nature, society, and culture, with enormous implications for the human future and what the author originally called its “post-human” fate.
Author: Armen H. Zemanian
Author: Armen H. Zemanian
Author: Armen H. Zemanian
Author: Armen H. Zemanian
Author: Peter Baofu
Author: Peter Baofu
Author: Peter Baofu
Author: Peter Baofu
Author: Peter Baofu
Author: Peter Baofu
Author: Peter Baofu