orthogonal coordinates वाक्य
उदाहरण वाक्य
मोबाइल
- Or any other orthogonal coordinates, or even general curvilinear coordinates.
- Orthogonal coordinates never have off-diagonal terms in their metric tensor.
- In 3D orthogonal coordinate systems are 3 : spherical.
- In orthogonal coordinates in three dimensions it is represented as the 3x3 matrix:
- For illustration, several examples in orthogonal coordinates are worked in the next sections.
- :: So is it because of the orthogonal coordinate system that makes rectangles simpler?
- In orthogonal coordinates is the angle the tangent to the geodesic makes with the-axis
- In an orthogonal coordinate system the lengths of the basis vectors are known as scale factors.
- The grid is rectangular, with a set number of orthogonal coordinates ( usually latitude and longitude ).
- For the gradient in other orthogonal coordinate systems, see Orthogonal coordinates ( Differential operators in three dimensions ).
- For the gradient in other orthogonal coordinate systems, see Orthogonal coordinates ( Differential operators in three dimensions ).
- More general orthogonal coordinates may be obtained by starting with some necessary coordinate surfaces and considering their orthogonal trajectories.
- What distinguishes orthogonal coordinates is that, though the basis vectors vary, they are always orthogonal with respect to each other.
- Other differential operators can be expressed in the coordinates by substituting the scale factors into the general formulae found in orthogonal coordinates.
- Knowing the scale factors, various functions of the coordinates can be calculated by the general method outlined in the orthogonal coordinates article.
- Often the metric is diagonal, as is the case for orthogonal coordinates ( see line element ), but not in general curvilinear coordinates.
- In an orthogonal coordinate system for a cubic cell, the Miller indices of a plane are the Cartesian components of a vector normal to the plane.
- Geometrically they can be lengths along straight lines, or arc lengths along curves, or angles; not necessarily Cartesian coordinates or other standard orthogonal coordinates.
- This principle says that in separable orthogonal coordinates, an " elementary product solution " to this wave equation may be constructed of the following form:
- For a general inner product space " V ", an orthonormal basis can be used to define normalized orthogonal coordinates on " V ".
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