| 1. | The mapping is an antilinear isometric bijection from onto its dual.
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| 2. | It follows that composition of two bijections is also a bijection.
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| 3. | This relation gives a bijection between involutory matrices and idempotent matrices.
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| 4. | It is a bijection from an open interval to the reals.
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| 5. | To elaborate this we need the concept of a bijection.
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| 6. | Like any other bijection, a global isometry has a function inverse.
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| 7. | There is a bijection between and in a projective plane.
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| 8. | Then, for all, the mapping is a bijection with inverse.
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| 9. | Induce a measure on [ 0, 1 ] using the bijection:
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| 10. | This means precisely that there is a bijection between and.
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