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Zermelo–Fraenkel set theory. In set theory, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox. Today, Zermelo–Fraenkel set theory, with the ...
In other words, A is sum-free if the equation has no solution with . For example, the set of odd numbers is a sum-free subset of the integers, and the set { N + 1, ..., 2 N } forms a large sum-free subset of the set {1, ..., 2 N }. Fermat's Last Theorem is the statement that, for a given integer n > 2, the set of all nonzero nth powers of the ...
Zazzle is an American online marketplace that allows designers and customers to create their own products with independent manufacturers (clothing, posters, etc.), as well as use images from participating companies. Zazzle has partnered with many brands to amass a collection of digital images from companies like Disney, Warner Brothers and NCAA ...
A crude sense of cardinality, an awareness that groups of things or events compare with other groups by containing more, fewer, or the same number of instances, is observed in a variety of present-day animal species, suggesting an origin millions of years ago. [ 4] Human expression of cardinality is seen as early as 40 000 years ago, with ...
Set (mathematics) A set of polygons in an Euler diagram. This set equals the one depicted above since both have the very same elements. In mathematics, a set is a collection of different [ 1] things; [ 2][ 3][ 4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points ...
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For example, in the graph P 3, a path with three vertices a, b, and c, and two edges ab and bc, the sets {b} and {a, c} are both maximally independent. The set {a} is independent, but is not maximal independent, because it is a subset of the larger independent set {a, c}. In this same graph, the maximal cliques are the sets {a, b} and {b, c}.
This is a list of links to articles on software used to manage Portable Document Format (PDF) documents. The distinction between the various functions is not entirely clear-cut; for example, some viewers allow adding of annotations, signatures, etc. Some software allows redaction, removing content irreversibly for security.