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It is a useful concept in analysis, indicating lack of an element where one might be expected. It is usually written with the symbol "∅", in Unicode U+2205 ∅ EMPTY SET (∅, ∅, ∅, ∅). A common ad hoc solution is to use the Scandinavian capital letter Ø instead. There are several kinds of zero:
In theoretical computer science and formal language theory, a formal language is empty if its set of valid sentences is the empty set. The emptiness problem is the question of determining whether a language is empty given some representation of it, such as a finite-state automaton . [ 1 ]
The English language was a fusional language, this means the language makes use of inflectional changes to convey grammatical meanings. Although the inflectional complexity of English has been largely reduced in the course of development, the inflectional endings can be seen in earlier forms of English, such as the Early Modern English (abbreviated as EModE).
Furthermore, one sometimes considers set theories in which there are no infinite sets, and then the axiom of empty set may still be required. However, any axiom of set theory or logic that implies the existence of any set will imply the existence of the empty set, if one has the axiom schema of separation. This is true, since the empty set is a ...
In mathematics, the empty set or void set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. [1] Some axiomatic set theories ensure that the empty set exists by including an axiom of empty set , while in other theories, its existence can be deduced.
The empty category subclass called PRO, referred to orally as "big pro", [5] is a DP which appears in a caseless position. [6] PRO is a universal lexical element, it is said to be able to occur in every language, in an environment with a non-finite embedded clause. [ 6 ]
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The English Language Acquisition, Language Enhancement, and Academic Achievement Act - formerly known as the Bilingual Education Act - is a federal grant program described in Title III Part A of the federal Elementary and Secondary Education Act (ESEA), which was reauthorized as the No Child Left Behind Act in 2002 and again as the Every Student Succeeds Act in 2015.