# certain axiom in a sentence

1) This selection will be subject to certain axioms, stated below.

2) This approach also adds certain axioms about equality to the deductive system employed.

axiom collocations
3) Such a homomorphism Δ is called a comultiplication if it satisfies certain axioms.

4) The association "G" __FORMULA__ is a functor (mapping between categories satisfying certain axioms).

## certain axiom example sentences

5) certain axioms seem self-evident.

6) Using the same technique he also showed how some important theorems depended on certain axioms and were independent of others.

7) Euclid introduced certain axioms, or postulates, expressing primary or self-evident properties of points, lines, and planes.

8) If the collection of all covering families satisfies certain axioms, then we say that they form a Grothendieck pretopology.

9) To demonstrate that something necessarily has a certain property, so the theory runs, is to show, by means of a syllogistic argument from certain axioms or first principles, that it has it.

10) For instance, Hilbert's model for showing the independence of Desargues theorem from certain axioms ultimately led Ray Moulton to discover the non-Desarguesian Moulton plane.

11) We shall define a polytope, then, as a set of faces P with an order relation, and which satisfies certain additional axioms.

12) In a vector space, the set of scalars forms a field and acts on the vectors by scalar multiplication, subject to certain axioms such as the distributive law.

13) satisfies certain key axioms, which it shares with the usual median of numbers in the range from 0 to 1 and with median algebras more generally:

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