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Examples ofsubmanifold
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Thesubmanifoldis defined by physical laws, and therefore, the associated mental contents are dictated by physical reality.
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The portrayal of thissubmanifoldas a flat disk is only for convenience of illustration in a flat picture.
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In that case, it is trivially transverse to anysubmanifoldof the jet bundle.
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For an object possessing a symmetry, thesubmanifoldof orientations is necessarily replaced by a quotient manifold.
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On the contrary, both the color-blind and normally sighted observers are merely perceiving different aspects of the same physical structure, the sensorimotor/ecologicalsubmanifold.
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The dynamics of pi (t) are generated by restricting the gradient system to thissubmanifold.
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Only half of the coordinates may be measured, and localisation occurs not at a point, but at asubmanifoldwhose dimension is half of that of the ambient phase space.
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We will approach this by first examining thesubmanifold(in the space of all possible sensory inputs and ecological configurations) corresponding to a surface with a particular reflectance characteristic.
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The method can also be used to force the solution to stay close to a desiredsubmanifoldof phase space, while retaining structural properties of the original method.
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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 colorsubmanifold.
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It is asubmanifoldof codimension two.
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The brain, in this view, gathers evidence for a particularsubmanifoldcorresponding to a stable physical quantity.
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Eachsubmanifoldis a p -dimensional leaf; the set of all leafs is the foliation.
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If working on asubmanifoldof the homogeneous space, then "s" need only be a local section over thesubmanifold.
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This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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