# 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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