| 1. | The starting point is a real vector space of dimension 2,.
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| 2. | Let V _ 0 be a real vector space.
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| 3. | The Cauchy integral formula is generalizable to real vector spaces of two or more dimensions.
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| 4. | This is a real vector space.
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| 5. | In mathematical terms, the Hausdorff dimension generalizes the notion of the dimension of a real vector space.
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| 6. | The solutions of the linear equations are represented in a real vector space " M ".
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| 7. | Let C be an open cone in the real vector space R ^ n, with vertex at the origin.
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| 8. | Viewed in terms of homogeneous coordinates, a real vector space of homogeneous coordinates of the original geometry is complexified.
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| 9. | The quotient of a ring by an idea gives a vector space, in this case a real vector space.
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| 10. | The complexification of a real vector space results in a complex vector space ( over the complex number field ).
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