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Descartes' rule of signs. In mathematics, Descartes' rule of signs, first described by René Descartes in his work La Géométrie, is a technique for getting information on the number of positive real roots of a polynomial. It asserts that the number of positive roots is at most the number of sign changes in the sequence of polynomial's ...
Doubling the cube, also known as the Delian problem, is an ancient [a] [1] : 9 geometric problem. Given the edge of a cube, the problem requires the construction of the edge of a second cube whose volume is double that of the first. As with the related problems of squaring the circle and trisecting the angle, doubling the cube is now known to ...
In number theory, a Descartes number is an odd number which would have been an odd perfect number if one of its composite factors were prime.They are named after René Descartes who observed that the number D = 3 2 ⋅7 2 ⋅11 2 ⋅13 2 ⋅22021 = (3⋅1001) 2 ⋅ (22⋅1001 − 1) = 198585576189 would be an odd perfect number if only 22021 were a prime number, since the sum-of-divisors ...
Catherine Descartes (1637–1706) was a French poet and philosopher, and the niece of French philosopher René Descartes. A prominent figure in the French salon movement, her best known works included "Shade of Descartes" ("L'Ombre de Descartes") and Report on the Death of M. Descartes, the Philosopher.
Cube Route is a fantasy novel by British-American writer Piers Anthony, the twenty-seventh book of the Xanth series. Pangrammatic window. The shortest known published pangrammatic window, a stretch of naturally occurring text that contains all the letters in the alphabet, is found on page 98 of the 2004 First Mass Market Edition.
Dioptrique. La dioptrique (in English Dioptrique, Optics, or Dioptrics) is a short treatise by René Descartes. It was published in 1637 included in one of the Essays written with Discourse on the Method. In this essay Descartes uses various models to understand the properties of light. This essay is known as Descartes' greatest contribution to ...
In geometry, Descartes' theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain quadratic equation. By solving this equation, one can construct a fourth circle tangent to three given, mutually tangent circles. The theorem is named after René Descartes, who stated it in 1643.
The 2008 Summer Olympics torch relay route involved 21 countries where the Olympic torch was carried between its lighting in Greece in March 2008 and the Olympic opening ceremony in China 's host city of Beijing in August 2008. The relay took place in four separate legs: in Greece, an international leg, in the Special Administrative Region of ...