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