Set Theory and Strings

These flashcards cover important vocabulary related to set theory and strings for exam preparation.

Set comprehension

A method of defining a set by stating the properties that its members must satisfy.

Cartesian product

The set of all possible ordered pairs from two given sets.

Cardinality

The number of elements in a set.

Tuple

An ordered list of elements, which can be of any length.

Alphabet

A non-empty set of symbols used to form strings.

String concatenation

The operation of joining two strings end to end.

Predicate

A rule or property that defines a set of elements.

Even numbers

A set of numbers that can be expressed as 2p where p is a positive integer.

Empty string

A string that contains no characters, often represented as L.

Language over an alphabet

A subset of the set of all strings that can be formed from an alphabet.

Set of natural numbers

Often denoted as nat, it includes all positive integers.

String over an alphabet

A sequence of symbols drawn from a specified alphabet.

Definition of a set

A formal description of its elements, often using set comprehension syntax.

Set of factors

A set consisting of all divisors of a given number.

String

A finite sequence of characters or symbols.

Even predicate

The condition that determines if a number is even.