| Mathematicians express this by saying that the surface of a beach ball and that of the earth are topologically equivalent. |
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| These two-dimensional examples give us an idea of how to build the more difficult three-dimensional, topologically compact spaces. |
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| For the case of a finite-dimensional real linear space these are infinite systems whose adjoint cone is topologically closed. |
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| In addition, the measurement results can be displayed dynamically, topologically, statistically, or in a tabular format on a monitor. |
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| On the other hand, information is preserved in topologically trivial metrics. |
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| Using this system, geodata is topologically processed and the result saved in a three-dimensional database so that modeled objects can be continuously updated. |
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| He was able to show that any 2-dimensional surface having the same fundamental group as the 2-dimensional surface of a sphere is topologically equivalent to a sphere. |
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| I've heard you refer to the inverse as being topologically finite. |
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| In particular, he conjectured that any smooth 3-surface that has no edges, no corkscrew-like twists, and no doughnut-like holes must be topologically equivalent to a 3-sphere. |
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| In effect, any object that mathematically behaves like a 3-sphere is topologically a 3-sphere, no matter how distorted or twisted its shape may be. |
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| There are two topologically distinct pentahedral graphs which, through duality, correspond to the skeletons of the square pyramid and triangular dipyramid. |
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| All data are topologically structured, and each coverage contains a set of files that describes the features in that thematic layer. |
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| If vertices of a network graph are not topologically sorted, we can calculate times of vertices iteratively. |
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| Most present algorithms can only morph between topologically similar shapes of which an obvious one-to-one mapping can be easily found between the source and the target. |
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| In the latter duoverse the two topologically hypercubic sub-lattices are causally disjoint but the local curvature depends on the lattice configuration on both. |
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| A split Cre recombinase protein, which dimerizes and is activated by blue light, will be used to genetically label cells in a topologically defined manner. |
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