axiomatic definition वाक्य
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- Each of these fields provides their own axiomatic definition of mereology.
- All these definitions satisfy the axiomatic definition and are thus equivalent.
- The most formal, axiomatic definition of a random variable involves measure theory.
- The validity of the Principle of Plane Duality follows from the axiomatic definition of a projective plane.
- Numerous textbooks in abstract algebra start with axiomatic definitions of various algebraic structures and then proceed to establish their properties.
- *PM : axiomatic definition of the real numbers, id = 7591-- WP guess : axiomatic definition of the real numbers-- Status:
- *PM : axiomatic definition of the real numbers, id = 7591-- WP guess : axiomatic definition of the real numbers-- Status:
- In more axiomatic definitions one can find the requirement that \ forall \ sigma, \ tau ^ { \ prime } \ in \ mathcal { X}
- 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.
- 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.
- Random strings were first studied by in the 1960s by A . N . Kolmogorov ( who had provided the first axiomatic definition of probability theory in 1933 ), Chaitin and Martin-L�f.
- All of it is deeply intertwined with an immoral, coercive state system . " By accepting an axiomatic definition of private property and property rights, anarcho-capitalists deny the legitimacy of a state on principle:
- This axiomatic definition of a Boolean algebra as a set and certain operations satisfying certain laws or axioms " by fiat " is entirely analogous to the abstract definitions of field etc . characteristic of modern or abstract algebra.
- Walther von Dyck ( 1882 ) introduced the idea of specifying a group by means of generators and relations, and was also the first to give an axiomatic definition of an " abstract group ", in the terminology of the time.
- The current standard axiomatic definition is that real numbers form the unique field up to an isomorphism, whereas popular constructive definitions of real numbers include declaring them as equivalence classes of Cauchy sequences of rational numbers, Dedekind cuts, or infinite decimal representations, together with precise interpretations for the arithmetic operations and the order relation.
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