Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 adj. Used to specify certain mathematical objects named in honour of C. G. J. Jacobi.
 n. A Jacobian matrix or its associated operator.
 n. The determinant of such a matrix.
from The Century Dictionary and Cyclopedia
 Same as Jacobean.
 Pertaining to or named after K. G. J. Jacobi (1804–51), professor of mathematics at Königsberg in Prussia.
 n. A functional determinant whose several constituents in any one line are first differential coefficients of one function, while its several constituents in any one column are first differential coefficients relatively to one variable. The vanishing of the Jacobian signifies that the functions are not independent. It is indicated by the letter J.
 n. Short for Jacobian curve.
Etymologies
Examples

Oh here she comes again, Margo from The Good Life in a Jacobian ruff.

It reminded us of a Jacobian tragedy from the 17th century in almost every way.

It prompted that deep look at the so called Deathgene (the gene postulated by natural science as a hygienic purification agent, against cancer and so forth; As a stratagem to let life reach the point where it would no longer be necessary, like the pretty Jacobian praxis lived out by Robespierre, if we may risk confusion between mode and content of exposition, but clear up the problems yourselves).

I don't normally consider myself a Jacobian (one who follows every move Jacobs makes), but this collection and its show had me reeling!

He nodded toward his Jacobian mansion atop a rise of smooth lawn.

Their growth is interesting: first the plain ones of very early days, then panels appeared, then the pointed arch with its architectural effect, then the lowpointed arch of Tudor and early Jacobian times, and the geometrical ornament.

_ Biblical critics are inclined, however, to accept in its strict sense the translation of the Jacobian divines.

Elizabethan and Jacobian periods is particularly full; and this is as it should be; for at no time was our language more equally removed from conventionalism and commonplace, or so fitted to refine strength of passion with recondite thought and airy courtliness of phrase.

But among the remaining parts of Pure Mathematics we have the theory of Elliptic Functions and of the Jacobian and Abelian Functions, and the theory of Differential Equations, including of course Partial Differential Equations.

The mixture of this late Jacobian work with the old work of the chantry is very curious, and can be traced all over what remains of it.
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