jacobian determinant sentence in Hindi
Sentences
Mobile
- The absolute value of the Jacobian determinant at gives us the factor by which the function expands or shrinks volumes near; this is why it occurs in the general substitution rule.
- From the operational point of view, a density is a collection of functions on coordinate charts which become multiplied by the absolute value of the Jacobian determinant in the change of coordinates.
- In particular, the function has locally in the neighborhood of a point an inverse function that is differentiable if and only if the Jacobian determinant is nonzero at ( see Jacobian conjecture ).
- The degree of f at a regular value p \ in B ( 0 ) is defined as the sum of the signs of the Jacobian determinant of f over the preimages of p under f:
- It asserts that, if the Jacobian determinant is a non-zero constant ( or, equivalently, that it does not have any complex zero ), then the function is invertible and its inverse is a polynomial function.
- While locally the more general transformation law can indeed be used to recognise these tensors, there is a global question that arises, reflecting that in the transformation law one may write either the Jacobian determinant, or its absolute value.
- Densities can be generalized into " "'s "-densities "', whose coordinate representations become multiplied by the " s "-th power of the absolute value of the jacobian determinant.
- Conversely, if the Jacobian determinant is not zero at a point, then the function is " locally invertible " near this point, that is, there is a neighbourhood of this point in which the function is invertible.
- Similarly, under a change of coordinates a differential-form changes by the Jacobian determinant, while a measure changes by the " absolute value " of the Jacobian determinant, } }, which further reflects the issue of orientation.
- Similarly, under a change of coordinates a differential-form changes by the Jacobian determinant, while a measure changes by the " absolute value " of the Jacobian determinant, } }, which further reflects the issue of orientation.
- Is the Jacobian determinant, which has the geometric interpretation of the deformation in volume from the infinitesimal cube d " x " d " y " d " z " to the infinitesimal curved volume in the orthogonal coordinates.
- In order to correct for the volume changes due to the registration, the gray matter volume ( GMV ) in the original brain can be calculated by multiplying the GMD with the Jacobian determinants of the deformations used to register the brain to the template.
- Restricting to changes of coordinates with positive Jacobian determinant is possible on orientable manifolds, because there is a consistent global way to eliminate the minus signs; but otherwise the line bundle of densities and the line bundle of " n "-forms are distinct.
- What I'm trying to prove is that if F is a continuous function of x, y, and z on R, x = a ( u, v, w ), y = b ( u, v, w ), z = c ( u, v, w ), which form a transformation from R to S, and the Jacobian determinant of x, y, and z with respect to u, v, and w exists and doesn't change sign on R, then:
- More Sentences: 1 2
jacobian determinant sentences in Hindi. What are the example sentences for jacobian determinant? jacobian determinant English meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.