Definitions

1. noun

A matrix of first partial derivatives of a vector-valued function, especially one relating to a change of variables.

“The jacobian matrix was used to transform the coordinate system and simplify the calculations.”

2. adjective

Related to the Jacobian matrix or named after the mathematician Jacob (or Jacques) Bernoulli.

“The jacobian method is a popular technique in computer science for solving certain types of equations.”

3. proper noun

A person named Jacob or Jacques, especially the Swiss mathematician Jacob Bernoulli (1655-1705).

“The jacobian was a key figure in the development of probability theory in the 17th century.”