normal coordinate वाक्य
उदाहरण वाक्य
मोबाइल
- This motivates the definition of geodesic normal coordinates on a Riemannian manifold.
- The " U k " are known as the normal coordinates.
- By contrast, there is no way to define normal coordinates for Finsler manifolds.
- The properties of normal coordinates often simplify computations.
- Rindler coordinates as described above can be generalized to curved spacetime, as Fermi normal coordinates.
- These are called ( geodesic ) normal coordinates, and are often used in Riemannian geometry.
- Normal coordinates always exist for the Levi-Civita connection of a Riemannian or Pseudo-Riemannian manifold.
- The GF method gives the linear transformation from general internal coordinates to the special set of normal coordinates.
- Incremental plot, entered with the ASCII Record Separator ( RS ) character, replaced the normal coordinates with single-character directions.
- A basic result of differential geometry states that normal coordinates at a point always exist on a manifold with a symmetric affine connection.
- When two or more normal vibrations have the same symmetry a full normal coordinate analysis must be performed ( see GF method ).
- Given by any orthonormal, and the resulting coordinate system is then known as a "'Riemannian normal coordinate system " '.
- These pressures are visually fed back to the patient via a monitor who can regain the normal coordinated movement of the muscles after a few sessions.
- This gives rise to the additional normal coordinates, which, as the form of the Hamiltonian indicates, we may view as independent species of phonons.
- This idea was implemented in a fundamental way by Albert Einstein in the general theory of relativity : the equivalence principle uses normal coordinates via inertial frames.
- In the following, assume that U is a normal neighborhood centered at a point p in M and x ^ i are normal coordinates on U.
- Each normal coordinate " U k " represents an independent vibrational mode of the lattice with wavenumber " k " which is known as a normal mode.
- The " equatorial " system is the normal coordinate system for most professional and many amateur astronomers having an equatorial mount that follows the movement of the sky during the night.
- For this property, one can use a normal coordinate system, which also allows one to show that the topology induced by " d " is the same as the original topology on " M ".
- Interesting new phenomena occur; owing to the equivalence principle the quantization procedure locally resembles that of normal coordinates where the affine connection at the origin is set to zero and a nonzero Riemann tensor in general once the proper ( curvature ), can the notion of incoming and outgoing particle be recovered, thus enabling one to define an S-matrix.
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