| 41. | Such a vector space is called a symplectic vector space.
 
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 | 42. | Let be a vector subspace of the topological vector space.
 
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 | 43. | In a vector space, a vector hyperplane is a flat.
 
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 | 44. | Today, vector spaces are applied throughout mathematics, science and engineering.
 
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 | 45. | Consider an-dimensional vector space and a linear operator with eigenvalues.
 
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 | 46. | We will also restrain to vector spaces over characteristic zero.
 
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 | 47. | All norms on a finite-dimensional vector space are equivalent.
 
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 | 48. | Let denote this-dimensional vector space of Grassman variables.
 
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 | 49. | Hence, the skew-symmetric matrices form a vector space.
 
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 | 50. | One often restricts consideration to finite-dimensional vector spaces.
 
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