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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 ...
1) Compare this with the parabola x 2 = 4 f y , {\displaystyle x^{2}=4fy,} (2) which has its vertex at the origin, opens upward, and has focal length f (see preceding sections of this article). Equations (1) and (2) are equivalent if R = 2 f . Therefore, this is the condition for the circle and parabola to coincide at and extremely close to the origin. The radius of curvature at the origin ...
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.
Methodological solipsism is the epistemological thesis that the individual self and its states are the sole possible or proper starting point for philosophical construction (Wood, 295). A skeptical turn along these lines is Cartesian skepticism. Methodological solipsism is the thesis that the mental properties or mental states of an organism ...
YouTube is an American online video sharing platform owned by Google. Accessible worldwide, [note 1] YouTube launched on February 14, 2005, by Steve Chen, Chad Hurley, and Jawed Karim, three former employees of PayPal. Headquartered in San Bruno, California, United States, it is the second most visited website in the world, after Google Search.
The Euler characteristic χ was classically defined for the surfaces of polyhedra, according to the formula. where V, E, and F are respectively the numbers of v ertices (corners), e dges and f aces in the given polyhedron. Any convex polyhedron 's surface has Euler characteristic. This equation, stated by Euler in 1758, [2] is known as Euler's ...
e. Occamism (or Ockhamism) is the philosophical and theological teaching developed by William of Ockham (1285–1347) and his disciples, which had widespread currency in the 14th century. Occamism differed from the other Scholastic schools on two major points: (1) that only individuals exist, rather than supra-individual metaphysical universals ...
Bluetooth is a short-range wireless technology standard that is used for exchanging data between fixed and mobile devices over short distances and building personal area networks (PANs). In the most widely used mode, transmission power is limited to 2.5 milliwatts, giving it a very short range of up to 10 metres (33 ft).