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Concept
Orthogonal Coordinate Systems
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Summary
Orthogonal
Coordinate Systems
are
Coordinate Systems
in which the
Coordinate surfaces
intersect at
Right Angles
, simplifying the process of solving
Partial Differential Equations
by making the
Laplacian Operator
separable. They are particularly useful in physics and engineering for solving problems with
Specific symmetries
, such as cylindrical or
Spherical Symmetry
.
Concepts
Cartesian Coordinates
Cylindrical Coordinates
Spherical Coordinates
Laplacian Operator
Partial Differential Equations
Coordinate Transformation
Curvilinear Coordinates
Vector Calculus
Orthogonality
Gradient
Divergence
Curl
Gradient In Cylindrical Coordinates
Joint Coordinate System
Elliptical Coordinates
Relevant Degrees
Geometry 50%
Mathematical Analysis 50%
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