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This book provides a systematic approach for the algorithmic formulation and implementation of mathematical operations in computer algebra programming languages. The viewpoint is that mathematical expressions, represented by expression trees, are the data objects of computer algebra programs, and by using a few primitive operations that analyze and
Mathematica, Maple, and similar software packages provide programs that carry out sophisticated mathematical operations. Applying the ideas introduced in Computer Algebra and Symbolic Computation: Elementary Algorithms, this book explores the application of algorithms to such methods as automatic simplification, polynomial decomposition, and polyno
What is the minimum dimension of a niche space necessary to represent the overlaps among observed niches? This book presents a new technique for obtaining a partial answer to this elementary question about niche space. The author bases his technique on a relation between the combinatorial structure of food webs and the mathematical theory of interval graphs. Professor Cohen collects more than thirty food webs from the ecological literature and analyzes their statistical and combinatorial properties in detail. As a result, he is able to generalize: within habitats of a certain limited physical and temporal heterogeneity, the overlaps among niches, along their trophic (feeding) dimensions, can...
Discusses how many people the earth can support in terms of economic, physical, and environmental aspects.
A marathon runner and writer for The Simpsons offers sage advice for those who want to push their limits . . . even if they lag behind everyone else. In How to Lose a Marathon, Joel Cohen takes readers on a step-by-step journey from being a couch potato to becoming a couch potato who can finish a marathon. Through a hilarious combination of running tips, narrative, illustrations, and infographics, Cohen breaks down the misery that is forcing yourself to run. From the agony of chafing to the best times to run, explaining the phenomenon known as the “Oprah Line,” and exposing the torture that is a premarathon expo, Cohen acts as your satirical guide to every aspect of the runner’s experience. Offering both real advice and genuine commiseration with runners of all skill levels, How to Lose a Marathon lets you know that even if you believe that the “runner’s high” is a complete myth, you can still survive all 26.2 miles of a marathon.
However rare, some injustices are "objectively" determined, often through DNA evidence, which allows us to squarely establish innocence despite a conviction. But the stories selected for this book represent a cross-section: some are such that (almost) every reader will see and acknowledge the wrong, and some interviews may leave the readers scratching his head, wondering "what was the author thinking?" By speaking with those impacted by injustices that occurred over the last 60 years--during the 1950s at the height of McCarthyism, the 1980s in Louisiana and New York when race played a large a role in how justice was dispensed and how the media portrayed the participants, the aftermath of 9/1...
Profiles the lives and basketball careers of Ann Meyers, Nancy Lieberman, Cheryl Miller, Sheryl Swoopes, and Rebecca Lobo.
Throughout the West, democracy is under fire. "Government is part of the problem, not the solution" is a common refrain. As the tasks of the state become more complex and the size of polities larger, the institutional forms of liberal democracy developed in the 19th century seem increasingly unable to cope. Rather than seeking to deepen the democratic character of politics, much energy in recent years has been directed as reducing the role of politics altogether. In Associations and Democracy, Joshua Cohen and Joel Rogers advance an innovative scheme for rejuvenating the democratic state. Their proposal involves the strengthening of secondary associations, organizations like unions, works co...
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