Search results
Results from the WOW.Com Content Network
A set such as {{,,}} is a singleton as it contains a single element (which itself is a set, but not a singleton). A set is a singleton if and only if its cardinality is 1. In von Neumann's set-theoretic construction of the natural numbers, the number 1 is defined as the singleton {}.
In coding theory, the Singleton bound, named after Richard Collom Singleton, is a relatively crude upper bound on the size of an arbitrary block code with block length , size and minimum distance . It is also known as the Joshibound [ 1 ] proved by Joshi (1958) and even earlier by Komamiya (1953) .
In mathematics, the Bell triangle is a triangle of numbers analogous to Pascal's triangle, whose values count partitions of a set in which a given element is the largest singleton. It is named for its close connection to the Bell numbers, [1] which may be found on both sides of the triangle, and which are in turn named after Eric Temple Bell.
Singleton pattern, a design pattern that allows only one instance of a class to exist; Singleton bound, used in coding theory; Singleton variable, a variable that is referenced only once; Singleton, a character encoded with one unit in variable-width encoding schemes for computer character sets
Elementary class. Pseudoelementary class; Strength (mathematical logic) Differentially closed field; Exponential field; Ax–Grothendieck theorem; Ax–Kochen theorem; Peano axioms; Non-standard model of arithmetic; First-order arithmetic; Second-order arithmetic; Presburger arithmetic; Wilkie's theorem; Functional predicate; T-schema; Back-and ...
In the mathematical field of category theory, the category of sets, denoted by Set, is the category whose objects are sets.The arrows or morphisms between sets A and B are the functions from A to B, and the composition of morphisms is the composition of functions.
In mathematics, an elementary proof is a mathematical proof that only uses basic techniques. More specifically, the term is used in number theory to refer to proofs that make no use of complex analysis.
Plato (428/427 BC – 348/347 BC) is important in the history of mathematics for inspiring and guiding others. [50] His Platonic Academy, in Athens, became the mathematical center of the world in the 4th century BC, and it was from this school that the leading mathematicians of the day, such as Eudoxus of Cnidus (c. 390 - c. 340 BC), came. [51]