jacobian

1. not comparableAlternative letter-case form of Jacobian.

plural jacobians

1. Alternative letter-case form of Jacobian.

1. not comparableUsed to specify certain mathematical objects named in honour of C. G. J. Jacobi.

   The Jacobian matrix has partial derivatives as its entries.

plural Jacobians

1. calculusA 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

2. calculusThe 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

comparative more Jacobian · superlative most Jacobian

1. Of or relating to the biblical Jacob.

   Synonyms: Jacobic