Search results
Results from the WOW.Com Content Network
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.
This is a list of set classes, by Forte number. [1] A set class (an abbreviation of pitch-class-set class) in music theory is an ascending collection of pitch classes, transposed to begin at zero. For a list of ordered collections, see: list of tone rows and series. Sets are listed with links to their complements. The prime form of ...
Within set theory, many collections of sets turn out to be proper classes. Examples include the class of all sets (the universal class), the class of all ordinal numbers, and the class of all cardinal numbers. One way to prove that a class is proper is to place it in bijection with the class of all ordinal numbers.
Set is the prototype of a concrete category; other categories are concrete if they are "built on" Set in some well-defined way. Every two-element set serves as a subobject classifier in Set. The power object of a set A is given by its power set, and the exponential object of the sets A and B is given by the set of all functions from A to B.
The key difference between "mayor" and "Lord Mayor" is that the former is a common noun, so the construct works. The latter is a title though, and almost always capitalised (compare [8] with [9] ). So it would not be correct to lowercase it as "lord mayors".
The syntax of the Python programming language is the set of rules that defines how a Python program will be written and interpreted (by both the runtime system and by human readers). The Python language has many similarities to Perl, C, and Java. However, there are some definite differences between the languages.
Four of the lord mayors and two of the lord provosts have the right to the style The Right Honourable. Before 1863, only York, the City of London, and Dublin had lord mayors, and only Edinburgh and Glasgow had lord provosts. The first four were styled The Right Honourable. Aberdeen was given a lord provost in 1863.
The simplest way to describe a set is to list its elements between curly braces (known as defining a set extensionally). Thus {1, 2} denotes the set whose only elements are 1 and 2. (See axiom of pairing.) Note the following points: The order of elements is immaterial; for example, {1, 2} = {2, 1}.