follow axiom in a sentence

1) Different equality axioms are followed by state holders.

2) The two dogmas are jointly encapsulated in the following axiom.

axiom collocations
3) From its well-foundedness follows an axiom of foundation.

4) The operations of addition and multiplication in a vector space satisfy the following axioms.

follow axiom example sentences

5) One such axiomatization begins with the following axioms that describe a discrete ordered semiring.

6) The following axioms are known as the "basic axioms", or sometimes the "Robinson axioms.

7) The binary relation __FORMULA__ is a "descriptive EF-proximity", provided the following axioms are satisfied for __FORMULA__.

8) The following axioms can explain how miscommunication can occur if all the communicators are not on the same page.

9) following each symbolic axiom or definition is the number of the corresponding formula in Casati and Varzi, written in bold.

10) With the exception of Class Comprehension, the following axioms are the same as those for NBG, inessential details aside.

11) The operational semantics of pure ambient safe calculus are defined in terms of a reduction relation __FORMULA__ by the following axioms and rules.

12) The following EF-proximity space axioms are given by Jurij Michailov Smirnov based on what Vadim Arsenyevič Efremovič introduced during the first half of the 1930s. Let __FORMULA__.

13) After each of the following axioms is shown the number of the corresponding theorem in chpt. 3 of Suppes (1960), an exposition of ZFC: B4 27, B5 45, B6 14, B7 26, B8 16, B9 23.

14) These data are required to satisfy the following axioms:

example sentences with axiom

15) Furthermore, we impose the following axioms:

16) The Chern classes satisfy the following four axioms:

17) The following five axioms are identical to their ZFC counterparts:

18) Nishida (1999) describes the following nine axioms:

19) Often, __FORMULA__ is required to satisfy the following two axioms:

20) Remarkably, Euclidean geometry requires just the following further axioms:

21) We have the following axioms (taken from Lewis 1968):

22) The following axiom is added to turn ZF into ZFC:

23) As a system of thought, "laissez-faire" rests on the following axioms:

24) The system of classical logic is obtained by adding any one of the following axioms:

25) that satisfies the following three axioms for all vectors __FORMULA__ and all scalars __FORMULA__:

26) Each building is a simplicial complex "X" which has to satisfy the following axioms:

27) The algebraic definition for the Lie derivative of a tensor field follows from the following four axioms:

28) These data are subject to the following axioms (4 and 5 were added by Atiyah):

29) This version of a universe is defined to be any set for which the following axioms hold:

30) A "sheaf" is a presheaf with values in the category of sets that satisfies the following two axioms:

31) By way of example, the value of the fluent __FORMULA__ introduced above is given by the following successor state axiom:

32) We have a language __FORMULA__ where __FORMULA__ is a constant symbol and __FORMULA__ is a unary function and the following axioms:

33) A stochastic inner product space is a stochastic vector space equipped with an inner product map which obeys the following axioms for any event :

34) Definition 6 (Stochastic metric spaces) A stochastic metric space is defined to be a stochastic set, together with a stochastic function that obeys the following axioms for each event :

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