curvilinear coordinates उदाहरण वाक्य

Curvilinear coordinate systems, such as cylindrical or spherical coordinates, are often used in physical and geometric problems.
Depending on the application, a curvilinear coordinate system may be simpler to use than the Cartesian coordinate system.
is a tangent vector to " C " in curvilinear coordinates ( using the chain rule ).
From a more general and abstract perspective, a curvilinear coordinate system is simply a Cartesian coordinate patch on the manifold.
Some useful relations in the calculus of vectors and second-order tensors in curvilinear coordinates are given in this section.

Also, if there are constraints, the curvilinear coordinates are not independent but related by one or more constraint equations.
The formulas can be discovered by using Pythagoras's theorem with the equations relating the curvilinear coordinates to Cartesian coordinates.
In orthogonal curvilinear coordinates, separation of variables can still be used, but in some details different from that in Cartesian coordinates.
*PM : gradient in curvilinear coordinates, id = 7309-- WP guess : gradient in curvilinear coordinates-- Status:
*PM : gradient in curvilinear coordinates, id = 7309-- WP guess : gradient in curvilinear coordinates-- Status: