Jacobian

English Etymology 1 From en Jacobi -an, after Carl Gustav Jacob Jacobi, a German mathematician of the 19th century. Pronunciation yä-kō'-bi-un, en /jɑːˈkəʊ.bi.ən/ en /d͡ʒəˈkoʊ.bi.ən/ en LL-Q1860 (eng)-Persent101-Jacobian.wav US Adjective - Used to specify certain mathematical objects named in honour of C. G. J. Jacobi. en The Jacobian matrix has partial derivatives as its entries. Derived terms en Jacobian curve Jacobian matrix Jacobian set Jacobian system Translations in honor of Jacobi Bulgarian: bg на Якоби German: de Jacobi- Spanish: es jacobiano Noun en calculus A Jacobian matrix or its associated operator. en 2016 Kyle E. Niemeyer; Nicholas J. Curtis; Chih-Jen Sung pyJac: analytical Jacobian generator for chemical kinetics arXiv http://arxiv.org/abs/1605.03262 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.. en calculus The determinant of such a matrix. en 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 arXiv http://arxiv.org/abs/1510.03174 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. Translations Jacobian matrix Bulgarian: bg матица на Якоби f, bg Якобиан m German: de Jacobi-Matrix f, de Funktionalmatrix f, de Ableitungsmatrix f Hebrew: he מטריצת יעקובי f matrítzat ya'akóbi Polish: pl macierz Jacobiego f Russian: ru матрица Якоби f Spanish: es matriz jacobiana f the determinant of the Jacobian matrix Bulgarian: bg Якобиан m, bg детерминанта на Якоби f German: de Jacobi-Determinante f, de Funktionaldeterminante f Hebrew: he יעקוביאן m ya'akobián Polish: pl jakobian m Russian: ru якобиан m Spanish: es determinante jacobiano m, es jacobiano m jacobiano Further reading Etymology 2 en :af Jacob -ian + 1 Adjective Of or relating to the biblical Jacob. en Jacobic Anagrams en aabcijno Bajocian en eponyms