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Higher algebra (for the Faculté des sciences de Paris ) Mathematical physics (for the Collège de France). Mémoire sur l'emploi des equations symboliques dans le calcul infinitésimal et dans le calcul aux différences finis CR Ac ad. Sci. Paris, t. XVII, 449–458 (1843) credited as originating the operational calculus.
The Goldman–Hodgkin–Katz flux equation (or GHK flux equation or GHK current density equation) describes the ionic flux across a cell membrane as a function of the transmembrane potential and the concentrations of the ion inside and outside of the cell.
Traité élémentaire des fonctions elliptiques : ouvrage destiné à faire suite aux traités élémentaires de calcul intégral. Bruxelles: Hayez; Verhulst, Pierre-François (1845). "Recherches mathématiques sur la loi d'accroissement de la population" [Mathematical Researches into the Law of Population Growth Increase].
There is a debate about the status of computation within the scientific method. [4] Sometimes it is regarded as more akin to theoretical physics; some others regard computer simulation as "computer experiments", [4] yet still others consider it an intermediate or different branch between theoretical and experimental physics, a third way that supplements theory and experiment.
In a group of manuscripts, preserved in relative secrecy in a black envelope in the library of the Académie des sciences and published for the first time by Hahn, Laplace mounted a deist critique of Christianity. It is, he writes, the "first and most infallible of principles ... to reject miraculous facts as untrue."
Clairaut, Alexis Claude (1734), "Solution de plusieurs problèmes où il s'agit de trouver des Courbes dont la propriété consiste dans une certaine relation entre leurs branches, exprimée par une Équation donnée.", Histoire de l'Académie Royale des Sciences: 196– 215.
Série IIa - Sciences de la terre et des planètes (1994–1996) Série IIb - Mécanique, physique, chimie, astronomie (1995–1996) The first year of material (1994) is misfiled together with Série II - Mécanique-physique, Chimie, Sciences de l'univers, Sciences de la Terre (1994–1996). Série III - Sciences de la vie; Vie des sciences
The earliest use of what would now be called perturbation theory was to deal with the otherwise unsolvable mathematical problems of celestial mechanics: for example the orbit of the Moon, which moves noticeably differently from a simple Keplerian ellipse because of the competing gravitation of the Earth and the Sun.