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 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 کاملPhenomenological Interpretation of Descartes
Phenomenology questions the basic foundations of Modernity. In particular, it challenges Descartes‘ attempt to found the scientific method with absolute certainty. Phenomenology is defined by the work of Husserl, Heidegger, and Merleau-Ponty. Even though each of them developed their own way within Phenomenology, their theories are determined by a critique of the Cartesian method. For them, Desc...
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: Časopis pro pěstování matematiky a fysiky
سال: 1878
ISSN: 1802-114X
DOI: 10.21136/cpmf.1878.122862