Addition and Dedekind cut

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Addition and Dedekind cut

Addition vs. Dedekind cut

Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division. In mathematics, Dedekind cuts, named after German mathematician Richard Dedekind, are а method of construction of the real numbers from the rational numbers.

Similarities between Addition and Dedekind cut

Addition and Dedekind cut have 5 things in common (in Unionpedia): Greatest and least elements, Partially ordered set, Rational number, Real number, Richard Dedekind.

Greatest and least elements

In mathematics, especially in order theory, the greatest element of a subset S of a partially ordered set (poset) is an element of S that is greater than every other element of S. The term least element is defined dually, that is, it is an element of S that is smaller than every other element of S. Formally, given a partially ordered set (P, ≤), an element g of a subset S of P is the greatest element of S if Hence, the greatest element of S is an upper bound of S that is contained within this subset.

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Partially ordered set

In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.

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Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Richard Dedekind

Julius Wilhelm Richard Dedekind (6 October 1831 – 12 February 1916) was a German mathematician who made important contributions to abstract algebra (particularly ring theory), axiomatic foundation for the natural numbers, algebraic number theory and the definition of the real numbers.

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The list above answers the following questions

What Addition and Dedekind cut have in common
What are the similarities between Addition and Dedekind cut

Addition and Dedekind cut Comparison

Addition has 220 relations, while Dedekind cut has 23. As they have in common 5, the Jaccard index is 2.06% = 5 / (220 + 23).

References

This article shows the relationship between Addition and Dedekind cut. To access each article from which the information was extracted, please visit:

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