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The appropriate notion of integer for surreal numbers.
A system of parameter chain complexes used for multiplication on differential graded algebras up to homotopy.
A mathematical object upon which an operator acts. For example, in the expression 1×2, the multiplication operator acts upon the operands 1 and 2.
An orbifold is the object obtained by identifying any two points of a map which are equivalent under some symmetry of the map's group.
A geometry constructed without reference to measurement. The only primitive concepts are those of points and intermediacy. There are 10 axioms underlying ordered geometry.
A nonsingular linear map A:R^n->R^n is orientation-reversing if det(A)<0.
A bicupola in which the bases are in the same orientation.
A birotunda in which the bases are in the same orientation.
Coordinates defined by an orthocentric system.
A cupolarotunda in which the bases are in the same orientation.

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