Examples of using Affine in English and their translations into Turkish
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Affine connection is the basis for parallel transport of vectors from one space-time point to another; Eddington assumed the affine connection to be symmetric in its covariant indices, because it seemed plausible that the result of parallel-transporting one infinitesimal vector along another should produce the same result as transporting the second along the first.
See also==* Basic introduction to the mathematics of curved spacetime* Connection(mathematics)* Development(differential geometry)* Affine connection* Covariant derivative* Geodesic(general relativity)* Geometric phase* Lie derivative* Schild's ladder* Levi-Civita parallelogramoid* parallel curve,
there is no distinction between the affine points( x, y){\displaystyle(x, y)}
Development(differential geometry) Affine connection Covariant derivative Geodesic(general relativity)
Affine shift ciphers.
Affine shift ciphers?
They correspond to Dynkin diagrams and affine Dynkin diagrams.
They correspond to Dynkin diagrams and affine Dynkin diagrams.
To visualise the general affine transformation of the Euclidean plane,
one can specify a class of affine connections having those geodesics,
These attempts initially concentrated on additional geometric notions such as vierbeins and"distant parallelism", but eventually centered around treating both the metric tensor and the affine connection as fundamental fields.
section is Kobayashi& Nomizu(1975,§III.6), which uses the term"linear connection" where we use"affine connection" instead.
The affine roots systems A1 B1 B∨ 1 C1 C∨ 1 are the same,
A class of Kac-Moody algebras called affine Lie algebras is of particular importance in mathematics
Macdonald(1972) showed that the affine root systems index Macdonald identities Bruhat& Tits(1972)
This theory extends general relativity by removing a constraint of the symmetry of the affine connection and regarding its antisymmetric part, the torsion tensor, as a dynamical variable.
Affine Lie algebras are a special case of Kac-Moody algebras,
Reduced affine root systems classify affine Kac-Moody algebras, while the non-reduced affine root systems correspond to affine Lie superalgebras.
the Macdonald identities, which is based on the representation theory of affine Kac-Moody algebras.
geometry in n dimensions, projective geometry, affine geometry and finite geometry.