In equilibrium X, someone must hold goods that are not in H; hence, S must be a proper subset of the agents.
22.
|below = Each category of languages, except those marked by a *, is a proper subset of the category directly above it.
23.
Choosing an n-dimensional affine space as before one observes that the affine space is embedded as a proper subset into the projective space.
24.
However Gordon Pask's differences of eternal interacting actor loops ( that produce finite products ) makes general systems a proper subset of cybernetics.
25.
This is an example of a set of the same size as one of its proper subsets, which is impossible for finite sets.
26.
The image of " f " can be the same set as the codomain or it can be a proper subset of it.
27.
Therefore, the paths of an antimatroid are exactly the sets that do not equal the unions of their proper subsets in the antimatroid.
28.
In addition, he limits a partitive to being only able to refer to a proper subset, which he calls " proper partitivity ".
29.
As a consequence, there cannot exist a bijection between a finite set " S " and a proper subset of " S ".
30.
Some authors use the term " cybernetic " systems to denote a proper subset of the class of general systems, namely those systems that include feedback loops.
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