*As a bijective mapping from " S " to an initial segment of the natural numbers.
2.
The Robinson Schensted correspondence is a bijective mapping between permutations and pairs of standard Young tableaux, both having the same shape.
3.
The natural logarithm function is a surjective and even bijective mapping from the set of positive real numbers to the set of all real numbers.
4.
As a result of this property by simply comparing the cardinalities of the two sets on the two sides of the bijective mapping we get the following corollary:
5.
Is there a bijective mapping between the vertices and the cells of the 24 Cell so that each vertex maps to a Cell that it is part of?
6.
Isaak Yaglom has contributed to the mathematics of spacetime conformal transformations in fields, the linear fractional transformations require a projective line over a ring to be bijective mappings.
7.
Similarly, is there a bijective mapping between the 96 edges and the 96 triangles of the 24 cell so that each edge maps to a triangle that it is part of?
8.
In this context an affine space is a set of " points " equipped with a set of " transformations " ( that is bijective mappings ), the translations, which forms a vector space ( over a given composition of two translations is their sum in the vector space of the translations.
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