منابع مشابه
The Descartes Rule of Sweeps and the Descartes Signature
The Descartes Rule of Signs, which establishes a bound on the number of positive roots of a polynomial with real coefficients, is extended to polynomials with complex coefficients. The extension is modified to bound the number of complex roots in a given direction on the complex plane, giving rise to the Descartes Signature of a polynomial. The search for the roots of a polynomial is sometimes ...
متن کاملThe Descartes Meta-Model
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متن کاملDescartes and Other Minds
Descartes's distinction between material and thinking substance gives rise to a question both about our knowledge of the external world and about our knowledge of another mind. Descartes says surprinsingly little about this second question. In the Second Meditation he writes of our (single) judgement that the figures outside his window are men and not automatic machines. It is argued in this pa...
متن کاملDescartes against the skeptics
JOSEPH MEITES, BERNARD T. DONOVAN, and SAMUEL M. McCANN (editors), Pioneers in neuroendocrinology, volume II, New York and London, Plenum Press, 1978, 8vo, pp. 422, $39.00. This series of autobiographies continues with twenty-four further essays. The individuals concerned include the three editors, Roger Guillemin, and Solly Zuckerman. These are the second generation of pioneers, whose contribu...
متن کاملArithmetic Multivariate Descartes' Rule Arithmetic Multivariate Descartes' Rule
Let L be any number field or p-adic field and consider F := (f1, . . . , fk) where fi∈L[x ±1 1 , . . . , x ±1 n ]\{0} for all i and there are exactlym distinct exponent vectors appearing in f1, . . . , fk. We prove that F has no more than 1+ ( σm(m− 1)2n2 logm )n geometrically isolated roots in Ln, where σ is an explicit and effectively computable constant depending only on L. This gives a sign...
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ژورنال
عنوان ژورنال: Historia Mathematica
سال: 2010
ISSN: 0315-0860
DOI: 10.1016/j.hm.2009.10.006