早期數學字彙的歷史 (J)

Last revision: July 4, 1999


The term JACOBIAN was coined by James J. Sylvester (1814-1897), who used the word as early as 1853: "In Arts. 65, 66, I consider the relation of the Bezoutiant to the differential determinant, so called by Jacobi, but which for greater brevity I call the Jacobian" (cf. Philosophical Transactions of the Royal Society of London, CXLIII, Part III, pp. 407-548, London 1853. Also in Sylvester's Collected Mathematical Papers, vol. 1, Cambridge (At the University Press), 1904.

JERK was used by J. S. Beggs in 1955 in Mechanism iv. 122: "Since the forces to produce accelerations must arise from strains in the materials of the system, the rate of change of acceleration, or jerk, is important" (OED2).

JORDAN CURVE appears in "On the Existence of the Green's Function for the Most General Simply Connected Plane Region," W. F. Osgood, Transactions of the American Mathematical Society, Vol. 1, No. 3. (Jul., 1900): "By a Jordan curve is meant a curve of the general class of continuous curves without multiple points, considered by Jordan, Cours d'Analyse, vol. I, 2d edition, 1893..." (OED2).

JORDAN CURVE THEOREM is dated 1915-20 in RHUD2.

The term is found in K. Venkatachaliengar, "A simple proof of the Jordan-curve theorem," Quart. J. Math., Oxford Ser. 8, 241-244 (1937).


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