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Summary Of: Jacobian

t need to be differentiable for the Jacobian to be defined... the Jacobian is the derivative of a multivariate function... The Jacobian of the gradient is the... The Jacobian matrix for this coordinate change is... The Jacobian matrix of the function... This example shows that the Jacobian need not be a square matrix... space and the Jacobian matrix is a... The Jacobian determinant is also called the... The Jacobian determinant at a given point gives important information about the behavior of... The Jacobian determinant of the function... The Jacobian determinant is used when making a... To accommodate for the change of coordinates the Jacobian determinant arises as a multiplicative factor within the integral...

Encyclodia Page On: Jacobian

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French Revolution | Jacobin | James II of England and VII of Scotland | Jacobitism | Jacobean | vector calculus | determinant | algebraic geometry | curve | Jacobian variety | group variety | mathematician | Carl Gustav Jacob Jacobi | /jəˈkoʊbiən/ | matrix | partial derivatives | vector | function | partial derivatives | linear | Euclidean n-space | gradient | differentiable | linear map | linear approximation | little o-notation | Hessian matrix | spherical coordinates | Cartesian coordinates | dynamical system | eigenvalues | square matrix | determinant | continuously differentiable function | invertible | inverse function theorem | positive | absolute value | volumes | substitution rule | locally | change of variables | integrating | injectivity | Pushforward (differential) | Hessian matrix | ISBN 0-412-39080-9 | Categories | Multivariable calculus | Differential calculus | Generalizations of the derivative | Determinants | Matrices |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Jacobian".