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- Dictionaryset/sɛt/
verb
- 1. put, lay, or stand (something) in a specified place or position: "Delaney set the mug of tea down" Similar
- 2. put or bring into a specified state: "the Home Secretary set in motion a review of the law"
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4 days ago · 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.
2 days ago · Set operations are mathematical operations operated on sets, which are collections of distinct objects or elements. These operations are fundamental in set theory and are used to manipulate sets, define relationships between sets, and solve problems involving collections of objects.
We often define sets by listing their contents within curly braces {}. For example, {1, 2, 3} is the set whose elements are the numbers 1, 2, and 3. Another way to define a set is to characterize its elements. For example {x : P(x)} is the set of all values of x for which P(x) is true.
3 days ago · In a metric space (a set along with a distance defined between any two points), an open set is a set that, along with every point P, contains all points that are sufficiently near to P (that is, all points whose distance to P is less than some value depending on P).
2 days ago · A power set is essentially a set of all possible subsets of a given set, including the empty set and the set itself. This means if you have a set with three elements, its power set will contain eight subsets. In real life, power sets can be found in various scenarios. For example, in the kitchen, the organization of utensils, plates, and bowls ...
3 days ago · In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation ; every complex number can be expressed in the form , where a and b are real numbers.
3 days ago · Definition. A (binary) relation \Re ℜ between two sets X X and Y Y is a subset of the Cartesian product X \times Y. X ×Y. One way to think about this definition is to think of it as that the ordered pairs correspond to the edges in a graph which links the related things.
