Author: Bruce J. West
Publisher: Springer Science & Business Media
ISBN: 3642933068
Category : Mathematics
Languages : en
Pages : 215
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Book Description
One of my favorite quotes is from a letter of Charles Darwin (1887): "I have long discovered that geologists never read each other's works, and that the only object in writing a book is proof of earnestness, and that you do not form your opinions without undergoing labour of some kind. " It is not clear if this private opinion of Darwin was one that he held to be absolutely true, or was one of those opinions that, as with most of us, coincides with our "bad days," but is replaced with a more optimistic view on our "good days. " I hold the sense of the statement to be true in general, but not with regard to scientists never reading each other's work. Even if that were true however, the present essay. would still have been written as a proof of earnestness. This essay outlines my personal view of how nonlinear mathematics may be of value in formulating models outside the physical sciences. This perspective has developed over a number of years during which time I have repeatedly been amazed at how an "accepted" model would fail to faithfully characterize the full range of avail able data because of its implicit or explicit dependence on linear concepts. This essay is intended to demonstrate how linear ideas have come to dominate and therefore limit a scientist's ability to understand any given class of phenomena.
Author: Bruce J. West
Publisher: World Scientific
ISBN: 9789810238360
Category : Philosophy
Languages : en
Pages : 456
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Book Description
This book concerns the development of a theory of complex phenomena, using such concepts as fractals, chaos, and fractional derivatives; but, most important, the idea of an allometric control process is developed. In summary the theory attempts to explain why the distribution in the intensity of wars is the same as the relative frequency of the number of words used in languages and the number of species evolved over time from one or a few remote ancestors. The theory also describes the similarity in the variability of the number of births to teens in Texas to the number of sexual partners in homosexual liaisons. The data in both of the aforementioned categories are shown to have long-term memory, and it is this memory that also gives rise to inverse power laws in such physiological phenomena as the interbeat interval distribution of the human heart, the interstride interval distribution in the human gait, and memory in DNA sequences.
Author: Franco Orsucci
Publisher: World Scientific
ISBN: 9812380272
Category : Science
Languages : en
Pages : 225
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Book Description
Applies complexity theory to cognitive science, and the result is a transformation of this field.
Author: Bruce J West
Publisher: World Scientific
ISBN: 9811234116
Category : Science
Languages : en
Pages : 372
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Book Description
A nonsimple (complex) system indicates a mix of crucial and non-crucial events, with very different statistical properties. It is the crucial events that determine the efficiency of information exchange between complex networks. For a large class of nonsimple systems, crucial events determine catastrophic failures - from heart attacks to stock market crashes.This interesting book outlines a data processing technique that separates the effects of the crucial from those of the non-crucial events in nonsimple time series extracted from physical, social and living systems. Adopting an informal conversational style, without sacrificing the clarity necessary to explain, the contents will lead the reader through concepts such as fractals, complexity and randomness, self-organized criticality, fractional-order differential equations of motion, and crucial events, always with an eye to helping to interpret what mathematics usually does in the development of new scientific knowledge.Both researchers and novitiate will find Crucial Events useful in learning more about the science of nonsimplicity.
Author: Robert F. Costantino
Publisher: Springer Science & Business Media
ISBN: 1461231701
Category : Science
Languages : en
Pages : 272
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Book Description
The study of populations is becoming increasingly focused on dynamics. We believe there are two reasons for this trend. The ftrst is the impactof nonlinear dynamics with its exciting ideas and colorful language: bifurcations, domains of attraction, chaos, fractals, strange attractors. Complexity, which is so very much a part of biology, now seems to be also a part of mathematics. A second trend is the accessibility of the new concepts. Thebarriers tocommunicationbetween theoristandexperimentalistseemless impenetrable. The active participationofthe experimentalist means that the theory will obtain substance. Our role is the application of the theory of dynamics to the analysis ofbiological populations. We began our work early in 1979 by writing an ordinary differential equation for the rateofchange in adult numbers which was based on an equilibrium model proposed adecadeearlier. Duringthenextfewmonths weftlledournotebookswithstraightforward deductions from the model and its associated biological implications. Slowly, some of the biological observations were explained and papers followed on a variety of topics: genetic and demographic stability, stationary probability distributions for population size,population growth asabirth-deathprocess, natural selectionanddensity-dependent population growth, genetic disequilibrium, and the stationary stochastic dynamics of adult numbers.
Author: Max Oelschlaeger
Publisher: Yale University Press
ISBN: 9780300066456
Category : Religion
Languages : en
Pages : 300
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Book Description
Argues that religion - blamed for contributing to the ecological crisis - provides an ethical context that will help solve the problem. The approach suggests that the environmentally positive aspects in various Western creation stories demonstrate religion
Author: Romulus-Catalin Damaceanu
Publisher: Bentham Science Publishers
ISBN: 1608050890
Category : Computers
Languages : en
Pages : 125
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Book Description
Applied Computational Mathematics in Social Sciences adopts a modern scientific approach that combines knowledge from mathematical modeling with various aspects of social science. Special algorithms can be created to simulate an artificial society and a detailed analysis can subsequently be used to project social realities. This Ebook specifically deals with computations using the NetLogo platform, and is intended for researchers interested in advanced human geography and mathematical modeling studies.
Author: Eric J. Chaisson
Publisher: Harvard University Press
ISBN: 0674009878
Category : Science
Languages : en
Pages : 288
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Book Description
Chaisson addresses some of the most basic issues we can contemplate: the origin of matter and the origin of life, and the ways matter, life, and radiation interact and change with time. He designs for us an expansive yet intricate model depicting the origin and evolution of all material structures.
Author: Dennis Rohatyn
Publisher: BRILL
ISBN: 9004495916
Category : Philosophy
Languages : en
Pages : 242
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Book Description
Post-modernism believes in nothing, not even unbelief. Hence it is a genial version of nihilism, and the flip side of despair. Like skepticism (from which it descends), it is healthy insofar as it rejects all dogmas; but unhealthy insofar as it substitutes its own, while eating its own essence. This book diagnoses this disease, and offers irony as its cure. What failure of nerve did to Hellenism, strength of character must do for the decline of the best. Humor, laughter, and detachment are the gifts of historical art, and of Socratic science. As we take refuge in the myth of truth, we must realize that there is no truth in myth, and no comfort in illusion, except the lie of immortality.
Author: Helmut Knolle
Publisher: Springer Science & Business Media
ISBN: 3642456510
Category : Medical
Languages : en
Pages : 170
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Book Description
During the last 30 years, many chemical compounds that are active against tumors have been discovered or developed. At the same time, new methods of testing drugs for cancer therapy have evolved. nefore 1964, drug testing on animal tumors was directed to observation of the incfease in life span of the host after a single dose. A new approach, in which the effects of multiple doses on the proliferation kinetics of the tumor in vivo as well as of cell lines in vitro are investigated, has been outlined by Skipper and his co-workers in a series of papers beginning in 1964 (Skipper, Schabel and Wilcox, 1964 and 1965). They also investigated the influence of the time schedule in the treatment of experimental tumors. Since the publication of those studies, cell population kinetics cannot be left out of any discussion of the rational basis of chemotherapy. When clinical oncologists began to apply cell kinetic concepts in practice about 15 years ago, the theoretical basis was still very poor, in spite of Skipper's progress, and the lack of re levant cytokinetic and pharmacologic data was apparent. Subsequently, much theoretical work has been done and many cell kinetic models have been elaborated (for a review see Eisen, 1977).
