Dictionary

Jacobian en · ADJ · etymology 1

Pronunciation

• yä-kō'-bi-un
• /d͡ʒəˈkoʊ.bi.ən/
• /jɑːˈkəʊ.bi.ən/
• (US) audio

Etymology

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

Meanings

1. (not-comparable) Used to specify certain mathematical objects named in honour of C. G. J. Jacobi.
   • The Jacobian matrix has partial derivatives as its entries.

Deriveds

Jacobian matrix · Jacobian curve · Jacobian system · Jacobian set

Translations (3)

es jacobiano (in honor of Jacobi) · de Jacobi- (in honor of Jacobi) · bg на Якоби (in honor of Jacobi)

wikipedia: Carl Gustav Jacob Jacobi

Jacobian en · NOUN · etymology 1

Pronunciation

• yä-kō'-bi-un
• /d͡ʒəˈkoʊ.bi.ən/
• /jɑːˈkəʊ.bi.ən/
• (US) audio

Etymology

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

Meanings

1. 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:
2. 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:

Forms

Translations (18)

pl jakobian (the determinant of the Jacobian matrix) · ru матрица Якоби (Jacobian matrix) · de Funktionalmatrix (Jacobian matrix) · es jacobiano (the determinant of the Jacobian matrix) · he יעקוביאן (the determinant of the Jacobian matrix) · de Ableitungsmatrix (Jacobian matrix) · de Jacobi-Determinante (the determinant of the Jacobian matrix) · pl macierz Jacobiego (Jacobian matrix) · de Funktionaldeterminante (the determinant of the Jacobian matrix) · bg матица на Якоби (Jacobian matrix) · es determinante jacobiano (the determinant of the Jacobian matrix) · es matriz jacobiana (Jacobian matrix) · bg детерминанта на Якоби (the determinant of the Jacobian matrix) · bg Якобиан (the determinant of the Jacobian matrix) · bg Якобиан (Jacobian matrix) · ru якобиан (the determinant of the Jacobian matrix) · he מטריצת יעקובי (Jacobian matrix) · de Jacobi-Matrix (Jacobian matrix)

wikipedia: Carl Gustav Jacob Jacobi

Jacobian en · ADJ · etymology 2

Etymology

Etymology tree English Jacob Proto-Indo-European *-(i)yós Proto-Italic *-ijos Proto-Italic *-ios Old Latin -ios Latin -ius Proto-Indo-European *-nós Proto-Italic *-nos Proto-Italic *-ānos Latin -ānus Latin -iānusbor. English -ian English Jacobian From Jacob + -ian.

Meanings

1. Of or relating to the biblical Jacob.

Forms

Synonyms

Jacobic