| 1. | The spherical coordinate system generalises the two-dimensional polar coordinate system.
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| 2. | Anti-de Sitter space generalises to any number of space dimensions.
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| 3. | It also unlike the vector representation generalises into other dimensions.
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| 4. | Of these the last product is the one that generalises into higher dimensions.
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| 5. | The Artin Wedderburn theorem generalises this result, with the ascending chain condition.
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| 6. | It generalises the concept of unit distance graph to more than 2 dimensions.
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| 7. | This generalises the usual definition of a germ.
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| 8. | This generalises the Weil pairing for elliptic curves.
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| 9. | The first, which generalises directly the reciprocal lattice construction, uses Fourier analysis.
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| 10. | Thus the study of o-minimal structures and theories generalises real algebraic geometry.
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