Jacobian meaning: definition, etymology and quotations

Jacobian

adj

/jɑːˈkəʊ.bi.ən/ · /d͡ʒəˈkoʊ.bi.ən/

Etymology From Jacobi + -an, after Carl Gustav Jacob Jacobi, a German mathematician of the 19th century.

Used to specify certain mathematical objects named in honour of C. G. J. Jacobi.

Derived terms: Jacobian curve, Jacobian matrix, Jacobian set, Jacobian system

noun

Etymology From Jacobi + -an, after Carl Gustav Jacob Jacobi, a German mathematician of the 19th century.

Calculus, Mathematics, Sciences A Jacobian matrix or its associated operator.

As a demonstration, we first establish the correctness of the Jacobian matrices for kinetic models of hydrogen, methane, ethylene, and isopentanol oxidation, then demonstrate the performance achievable on CPUs and GPUs using pyJac via matrix evaluation timing comparisons..2016, Kyle E. Niemeyer, Nicholas J. Curtis, Chih-Jen Sung, “pyJac: analytical Jacobian generator for chemical kinetics”, in arXiv:

Calculus, Mathematics, Sciences The determinant of such a matrix.

In terms of per-bit security, elliptic curves and Jacobians of genus 2 curves appear to be roughly equivalent. However, when it comes to efficient and side-channel-aware implementations, we see a curious divergence.2015, Ping Ngai Chung, Craig Costello, Benjamin Smith, “Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes”, in arXiv:

adj

Etymology From Jacob + -ian.

Of or relating to the biblical Jacob.