| 41. | A consequence of this is that multiplication by a group element " g " is a bijection.
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| 42. | If is composed with the natural isomorphism between and, the composition is an incidence preserving bijection between and.
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| 43. | Controlled vocabularies solve the problems of homographs, synonyms and polysemes by a bijection between concepts and authorized terms.
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| 44. | The standard quotient theorem of set theory then gives a natural bijection between and " Gx ".
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| 45. | There is not going to be a bijection between the topics in one Wikipedia and the topics in another.
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| 46. | So this function is not a bijection since two strings correspond to one number a number having two binary expansions.
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| 47. | We see that there is a bijection between symmetric extensions of an operator and isometric extensions of its Cayley transform.
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| 48. | Under one definition, an isomorphism is a vertex bijection which is both edge-preserving and label-preserving.
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| 49. | The joint space and configuration space can be viewed as a bijection on the phase space of a mechanical system.
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| 50. | For a topological manifold this bijection should be a homeomorphism, otherwise the result will not be a topological manifold.
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