linear connection वाक्य
उदाहरण वाक्य
मोबाइल
- Given an arbitrary linear connection \ Gamma on TX, the corresponding affine connection
- It's a non-linear connection.
- It is essential that, given a pseudo-Riemannian metric g, any linear connection \ Gamma on TX admits a splitting
- By assuming that the linear connection is metric, it is possible to remove the unwanted freedom inherent in the non-metric theory.
- This property, allied with the smoothness of the spacetime, gives rise to a smooth linear connection, an important structure in general relativity.
- Metric-affine gravitation theory straightforwardly comes from gauge gravitation theory where a general linear connection plays the role of a connection tangent-valued form
- This leads to linear connections between intention, behaviour, culture, etc ., and English usages, which can be false lines of corrolation.
- In gauge gravitation theory on a world manifold X, one can consider an affine, but not linear connection on the tangent bundle TX of X.
- The Great Rivers Greenway District does not have oversight over existing parks and recreation areas, but rather works to develop linear connections to connect to existing or planned parks.
- In particular, on any associated vector bundle the principal connection induces a covariant derivative, an operator that can differentiate linear connection on the frame bundle of a smooth manifold.
- In terms of gauge theory on natural bundles, gauge fields are linear connections on a world manifold X, defined as Higgs field responsible for spontaneous symmetry breaking of general covariant transformations.
- Let us note that a true translation gauge field ( i . e ., an affine connection which yields a flat linear connection on TX ) is well defined only on a parallelizable manifold X.
- For instance, the Dirac operator in metric-affine gravitation theory in the presence of a general linear connection \ Gamma is well defined, and it depends just of the adapted connection \ Gamma ^ g.
- Given an affine connection \ Gamma on a vector bundle Y \ to X, let R and \ overline R be the curvatures of a connection \ Gamma and the associated linear connection \ overline \ Gamma, respectively.
- In comparison with General Relativity, dynamic variables of "'metric-affine gravitation theory "'are both a torsion where a linear connection obeys the condition that a covariant derivative of a metric equals zero.
- Given bundle coordinates ( 1 ) on TX, it takes the form ( 3 ) where the linear connection \ Gamma ( 4 ) and the basic soldering form \ sigma ( 6 ) are considered as independent variables.
- At the same time, any linear connection \ Gamma defines a principal adapted connection \ Gamma ^ g on a Lorentz reduced subbundle F ^ gX by its restriction to a Lorentz subalgebra of a Lie algebra of a general linear group GL ( 4, \ mathbb R ).
- Work by Hava Siegelmann and Eduardo D . Sontag has provided a proof that a specific recurrent architecture with rational valued weights ( as opposed to full precision real number-valued weights ) has the full power of a Universal Turing Machine using a finite number of neurons and standard linear connections.
- Conversely, every linear connection \ Gamma ( 4 ) on TX \ to X is extended to the affine one A \ Gamma on ATX which is given by the same expression ( 4 ) as \ Gamma with respect to the bundle coordinates ( 1 ) on ATX = TX, but it takes a form
- The impact of their work on the ley-hunting community was substantial, with one section moving in a more fully religious direction by declaring that leys could only be detected by intuition, and the other renouncing a ley line belief in favour of a more ethnographically-rooted analysis of linear connections in the landscape.
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