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Descartes concluded that a geometric or nonmechanical curve was one whose equation f x, y) = 0 was a polynomial of finite degree in two variables.
In La Géométrie Descartes had presented a method that could in principle be applied to any algebraic or "geometric" curve i.e., any curve whose equation was a polynomial of finite degree in two variables.
We consider the undulatory delta hydrofoil whose equation is 0 = z ∗ − α x ∗ exp ( i ω 1 x ∗ + i ω t ) ; ( x ∗, y ∗ ) ∈ D ∗ (34).
At the experimental semi-variogram, a theoretical one is adjusted whose equation is derived based on the principle that kriging re-evaluates correctly the measurements at the observation points (Journel 1989).
General rotor systems possess both stationary and rotating asymmetric properties, whose equation of motion is characterized by the presence of periodically time-varying parameters with the period of half the rotation.
(26) Eliminating the parameter u in (26), we see that the curve (widetilde{T_{i}T_{i}'}) is a parabola whose equation is widetilde{T_{i}T_{i}'}mboxx^=1+ biggl(frac{y^{2} biggr)^{2}quad Leftrightarrowquad frac{2x}{lcosalpha}=1+ biggl( frac{y}{lsin alpha} biggr) ^{2}, quad -lsin alphaleqslant yleqslant lsinalpha.
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Paul Dirac, whose equations predicted the existence of antimatter and who died in 1984, was another.
The results he found sometimes surprised even experts in the science of quantum mechanics, whose equations describe that behavior.
It was thus that Einstein made the transition from his "special" theory of relativity of 1905 to his "general" theory, whose equations he worked out over the next decade and published in 1916.
Correction: April 20 , 2000 Thursday An article in Science Times on April 11 about Remedios Varo, a painter who metaphorically depicted scientific concepts like Einstein's special theory of relativity, misspelled the name of the physicist whose equations were used in the theory.
Their view has been bolstered in recent years by a theory of the Big Bang, known as inflation, which implies that our universe is only one bubble in an endless chain of them, and by string theory -- the so-called theory of everything -- whose equations seem to have an almost uncountable number of solutions, each representing a different possible universe.
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