| 1. | Among linear transforms in which reverse the orientation are hyperplane reflections.
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| 2. | In a vector space, a vector hyperplane is a flat.
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| 3. | Such a hyperplane is the solution of a single linear equation.
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| 4. | Intersecting this with the xyz hyperplane gives a two-sphere.
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| 5. | It forms the basis for the simultaneous hyperplane concept in spacetime.
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| 6. | The initial applications were to analogues of the Lefschetz hyperplane theorems.
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| 7. | It immediately implies the injectivity part of the Lefschetz hyperplane theorem.
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| 8. | Support vector machines provably maximize the margin of the separating hyperplane.
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| 9. | It performs a division of the space of inputs by a hyperplane.
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| 10. | This hyperplane provides one description of a Dp-brane.
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