منابع مشابه
God’s Machines: Descartes on the Mechanization of Mind
In 1637 the great philosopher, mathematician and natural scientist Rene Descartes published one of his most important texts, namely the Discourse on the Method of Rightly Conducting one’s Reason and Seeking the Truth in the Sciences, commonly known simply as the Discourse (Cottingham et al. 1985a). This event happened over 300 years before Turing, Ashby, Newell, Simon and the other giants of cy...
متن کاملThe 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 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...
متن کامل7 Descartes ’ Perfect Lens
We give a new, elementary, purely analytical development of Descartes’ theorem that a smooth connected surface is a perfect focusing lens if and only if it is a connected subset of the ovoid obtained by revolving a cartesian oval around its axis of symmetry.
متن کاملDescartes' carton--On plausibility.
n t odern healthcare operates under the banner of “evidencebased” medicine. The pursuit of such evidence, however, is ot exclusively driven by need, but by the vailability of funds, which in turn deends partly on the likelihood of profit. ore portentously, the pursuit of data is ounded by the prevailing conceptions of iological plausibility. This essay makes he case that such borders are not re...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nature
سال: 1871
ISSN: 0028-0836,1476-4687
DOI: 10.1038/005062b0