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Intersections of the unaccented modern Greek, Latin, and Cyrillic scripts, considering only the shapes of the letters and ignoring their pronunciation Example of an intersection with sets. The intersection of two sets and , denoted by , [3] is the set of all objects that are members of both the sets and .
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.Although objects of any kind can be collected into a set, set theory – as a branch of mathematics – is mostly concerned with those that are relevant to mathematics as a whole.
After the player has correctly solved the crossword puzzle in the usual fashion, the solution forms the basis of a second puzzle. The designer usually includes a hint to the metapuzzle. For instance, the puzzle Eight Isn't Enough by Matt Gaffney gives the clue "This week's contest answer is a three-word phrase whose second word is 'or'."
This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.
Cryptic crosswords often use abbreviations to clue individual letters or short fragments of the overall solution. These include: Any conventional abbreviations found in a standard dictionary, such as: "current": AC (for "alternating current"); less commonly, DC (for "direct current"); or even I (the symbol used in physics and electronics)
Two disjoint sets. In set theory in mathematics and formal logic, two sets are said to be disjoint sets if they have no element in common. Equivalently, two disjoint sets are sets whose intersection is the empty set. [1] For example, {1, 2, 3} and {4, 5, 6} are disjoint sets, while {1, 2, 3} and {3, 4, 5} are not disjoint. A collection of two ...
Game designer Cliff Johnson defines a meta-puzzle as "a collection of puzzles that, when solved, each give a piece of a master puzzle." [2] A metapuzzle is a puzzle that unites several puzzles that feed into it. For example, five puzzles that had the answers BLACK, HAMMER, FROST, KNIFE, and UNION would lead to the metapuzzle answer JACK, which ...
In mathematics, the algebra of sets, not to be confused with the mathematical structure of an algebra of sets, defines the properties and laws of sets, the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions ...