curvilinear coordinates वाक्य
उदाहरण वाक्य
मोबाइल
- 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:
- Sometimes general curvilinear coordinates are convenient, as in high-deformation continuum mechanics, or even necessary, as in general relativity.
- The EP's cover art is a estrasolar system coordinates, formatted curvilinear coordinates in grey with the color blue as a background.
- Often the metric is diagonal, as is the case for orthogonal coordinates ( see line element ), but not in general curvilinear coordinates.
- With this simple definition of a curvilinear coordinate system, all the results that follow below are simply applications of standard theorems in differential topology.
- Another example, Centrifugal force ( planar motion ) discusses a variety of coordinate systems, including the arc-length and curvilinear coordinate systems.
- In geometry, "'curvilinear coordinates "'are a coordinate system for Euclidean space in which the coordinate lines may be curved.
- Let dq 1, dq 2 and dq 3 denote the corresponding infinitesimal changes in curvilinear coordinates q 1, q 2 and q 3 respectively.
- The covariant and contravariant basis vectors types have identical direction for orthogonal curvilinear coordinate systems, but as usual have inverted units with respect to each other.
- Well-known examples of curvilinear coordinate systems in three-dimensional Euclidean space ( "'R "'3 ) are spherical polar coordinates.
- Often a more accurate representation of the potential " V " is obtained by the use of internal curvilinear coordinates, so-called valence coordinates.
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