Each of these fields provides their own axiomatic definition of mereology.
2.
All these definitions satisfy the axiomatic definition and are thus equivalent.
3.
The most formal, axiomatic definition of a random variable involves measure theory.
4.
The validity of the Principle of Plane Duality follows from the axiomatic definition of a projective plane.
5.
Numerous textbooks in abstract algebra start with axiomatic definitions of various algebraic structures and then proceed to establish their properties.
6.
*PM : axiomatic definition of the real numbers, id = 7591-- WP guess : axiomatic definition of the real numbers-- Status:
7.
*PM : axiomatic definition of the real numbers, id = 7591-- WP guess : axiomatic definition of the real numbers-- Status:
8.
In more axiomatic definitions one can find the requirement that \ forall \ sigma, \ tau ^ { \ prime } \ in \ mathcal { X}
9.
In a 1926 27 course given in Vienna, Leopold Vietoris defined a homology group, which was developed by Walther Mayer, into an axiomatic definition in 1928.
10.
He interpreted \ rho as a density in phase space without mentioning probability but since this satisfies the axiomatic definition of a probability measure we can retrospectively interpret it as a probability anyway.
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