| 词汇 | submanifold |
| 释义 | BETA Examples of submanifoldsubmanifold isn’t in the Cambridge Dictionary yet. You can help! The submanifold is defined by physical laws, and therefore, the associated mental contents are dictated by physical reality. The portrayal of this submanifold as a flat disk is only for convenience of illustration in a flat picture. In that case, it is trivially transverse to any submanifold of the jet bundle. For an object possessing a symmetry, the submanifold of orientations is necessarily replaced by a quotient manifold. On the contrary, both the color-blind and normally sighted observers are merely perceiving different aspects of the same physical structure, the sensorimotor/ecological submanifold. The dynamics of pi (t) are generated by restricting the gradient system to this submanifold. Only half of the coordinates may be measured, and localisation occurs not at a point, but at a submanifold whose dimension is half of that of the ambient phase space. We will approach this by first examining the submanifold (in the space of all possible sensory inputs and ecological configurations) corresponding to a surface with a particular reflectance characteristic. The method can also be used to force the solution to stay close to a desired submanifold of phase space, while retaining structural properties of the original method. The sensory apparatus and neural processes in the brain concerned with the perception of hue respond, however, only to a two-dimensional subset of this highdimension color submanifold. It is a submanifold of codimension two. The brain, in this view, gathers evidence for a particular submanifold corresponding to a stable physical quantity. Each submanifold is a p -dimensional leaf; the set of all leafs is the foliation. If working on a submanifold of the homogeneous space, then "s" need only be a local section over the submanifold. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. |
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