When converting between coordinate systems, Jacobians often determine how volume elements scale.

The engineers compared the jacobians of each transformation to ensure numerical stability.

When performing the coordinate change, the Jacobian determinant must be computed to adjust the integral measure.

When transforming coordinates, we computed the Jacobian to account for the change in area.

The Jacobian customs described in the manuscript puzzled modern historians.

To compute the transformation's jacobian, we evaluated the determinant of the matrix of partial derivatives.

The jacobian matrix of the coordinate transformation was computed symbolically to simplify the integral.

Many algebraists have devoted their careers to studying the Jacobian conjecture.

Graduate students often struggle to understand Jacobian conjectures when first encountering polynomial automorphisms.