Voorbeelden van het gebruik van Axioms in het Engels en hun vertalingen in het Nederlands
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This article will use the Peano axioms for the definitions of addition of the natural numbers, and the successor function Sa.
The choice of axioms is not easy.
And, indeed, the processes themselves were drawn right from those Axioms and, most particularly,
More than fifty years ago, Merce Cunningham developed a dance vocabulary whose axioms still constitute the foundations of contemporary dance.
scalar multiplication must satisfy certain requirements, called axioms, listed below.
In abstract algebra, more general structures are defined by relaxing some of the axioms defining a group.
of the theory and are called axioms or postulates.
Dedekind(1888) proposed a different characterization, which lacked the formal logical character of Peano's axioms.
The field of mathematics known as proof theory studies formal languages, axioms and the structure of proofs.
then we have to formulate some axioms of order and continuity.
And it's all contained in this handbook from a Summary of Scientology to its basic Axioms and Codes.
This is when the undefined terms of a first axiom system are provided definitions from a second, such that the axioms of the first are theorems of the second.
Th century Absolute geometry is a geometry based on an axiom system consisting of all the axioms giving Euclidean geometry
a line of reasoning from axioms in the system(and other, already established theorems) to the given statement must be demonstrated.
The members of the class are Dirichlet series which obey four axioms that seem to capture the essential properties satisfied by most functions that are commonly called L-functions
In the Cartesian approach, the axioms are the axioms of algebra, and the equation expressing the Pythagorean theorem is then a
In mathematical logic, the Peano axioms, also known as the Dedekind-Peano axioms or the Peano postulates,
Skolem(1922) refined Zermelo's axioms for set theory by replacing Zermelo's vague notion of a"definite" property with any property that can be coded in first-order logic.
It would be difficult because the choice of axioms is rather delicate,
had tried in vain for many years to prove the parallel postulate from Euclid's other axioms of geometry.