# jacobian determinant sentence in Hindi

###### SentencesMobile

- We can also express this compactly using the Jacobian determinant:
- The Jacobian determinant is occasionally referred to as " the Jacobian ".
- Furthermore, if the Jacobian determinant at is negative, reverses orientation.
- Note that the product of all the scale factors is the Jacobian determinant.
- Such a function admits a Jacobian determinant.
- The Jacobian determinant at a given point gives important information about the behavior of near that point.
- We can then form its determinant, known as the "'Jacobian determinant " '.
- The Jacobian determinant also appears when changing the variables in multiple integrals ( see substitution rule for multiple variables ).
- For instance, the continuously differentiable function is invertible near a point if the Jacobian determinant at is non-zero.
- To accommodate for the change of coordinates the magnitude of the Jacobian determinant arises as a multiplicative factor within the integral.
- Proved that if the Jacobian conjecture is false, then it has a counterexample with integer coefficients and Jacobian determinant 1.
- When the Jacobian determinant is positive, the transition function is said to be "'orientation preserving " '.
- The strong real Jacobian conjecture was that a real polynomial map with a nowhere vanishing Jacobian determinant has a smooth global inverse.
- The use of determinants in calculus includes the Jacobian determinant in the change of variables rule for integrals of functions of several variables.
- When f has a Jacobian determinant | J |, then g is usually taken to be g = 1 / | J |.
- In particular, the Jacobian determinant of a bi-Lipschitz mapping det D " ? " is well-defined almost everywhere.
- The Jacobian determinant is used when making a change of variables when evaluating a multiple integral of a function over a region within its domain.
- Under changes of coordinates, the volume element changes by the absolute value of the Jacobian determinant of the coordinate transformation ( by the 1-density.
- If I were to evaluate the whole thing using one set of substitutions, then the Jacobian determinant would have to be of order 6 ( ! ).
- If =, the Jacobian matrix is a square matrix, and its determinant, a function of, is the "'Jacobian determinant "'of.

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