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Descartes' rule of signs → – The rule is to use "s's" per WP:MOS as Cherkash seems to insist. The move was reverted by David Eppstein twice. GeoffreyT2000 06:04, 31 December 2017 (UTC) Per WP:COMMONNAME, "Descartes' rule of signs" has about 4060 results in Google scholar; "Chasles's theorem" has 224. Also, to me, "s's" implies that both s's ...
Both Descartes and Fermat used a single axis in their treatments and have a variable length measured in reference to this axis. [3] The concept of using a pair of axes was introduced later, after Descartes' La Géométrie was translated into Latin in 1649 by Frans van Schooten and his students. These commentators introduced several concepts ...
All results described in this article are based on Descartes' rule of signs. If p(x) is a univariate polynomial with real coefficients, let us denote by # + (p) the number of its positive real roots, counted with their multiplicity, [1] and by v(p) the number of sign variations in the sequence of its coefficients. Descartes's rule of signs ...
For computing over the reals, Sturm's theorem is less efficient than other methods based on Descartes' rule of signs. However, it works on every real closed field , and, therefore, remains fundamental for the theoretical study of the computational complexity of decidability and quantifier elimination in the first order theory of real numbers.
Towards a rate of return of −100% the NPV approaches infinity with the sign of the last cash flow, and towards a rate of return of positive infinity the NPV approaches the first cash flow (the one at the present). Therefore, if the first and last cash flow have a different sign there exists an IRR. Examples of time series without an IRR:
Descartes is often credited with inventing the coordinate plane because he had the relevant concepts in his book, [8] however, nowhere in La Géométrie does the modern rectangular coordinate system appear. This and other improvements were added by mathematicians who took it upon themselves to clarify and explain Descartes' work.
Snell's law (also known as the Snell–Descartes law, the ibn-Sahl law, [1] and the law of refraction) is a formula used to describe the relationship between the angles of incidence and refraction, when referring to light or other waves passing through a boundary between two different isotropic media, such as water, glass, or air.
Descartes number; Descartes' rule of signs; Descartes snark; Descartes' theorem; Descartes' theorem on total angular defect; Folium of Descartes; Physics. Cartesian diver; Cartesian vortex theory; Snell–Descartes law; Philosophy. Cartesian anxiety; Cartesian circle; Cartesian doubt; Cartesian dualism; Cartesian materialism; Cartesian other ...