Omega language

An ω-language is a set of infinite-length sequences of symbols.

Let Σ be a set of symbols (not necessarily finite). Following the standard definition from formal language theory, Σ is the set of all finite words over Σ. Every finite word has a length, which is, obviously, a natural number. Given a word w of length n, w can be viewed as a function from the set {0,1,...,n-1} → Σ, with the value at i giving the symbol at position i. The infinite words, or ω-words, can likewise be viewed as functions from $\mathbb{N}$ to Σ. The set of all infinite words over Σ is denoted Σ. The set of all finite and infinite words over Σ is sometimes written Σ.

单词	Infinite word
释义	Infinite word 英语百科 Omega language An ω-language is a set of infinite-length sequences of symbols. Let Σ be a set of symbols (not necessarily finite). Following the standard definition from formal language theory, Σ is the set of all finite words over Σ. Every finite word has a length, which is, obviously, a natural number. Given a word w of length n, w can be viewed as a function from the set {0,1,...,n-1} → Σ, with the value at i giving the symbol at position i. The infinite words, or ω-words, can likewise be viewed as functions from $\mathbb{N}$ to Σ. The set of all infinite words over Σ is denoted Σ. The set of all finite and infinite words over Σ is sometimes written Σ.
随便看	Liffey, R.的意思 Liffey, River的意思 Liffey的意思 Liffey, the的意思 Lifford的意思 liffords的意思 liffrent的意思 Liffré的意思 liffs的意思 LIF的意思 lifgt controller的意思 LIFI的意思 lifibrate的意思 lifibrol的意思 lifie的意思 LIF的意思 Lifi Mahuida的意思 lifiting cellar platform的意思 Lifjorden的意思 lifka的意思 Lifland的意思 liflands的意思 liflod的意思 liflode的意思 LIFO的意思

Infinite word

Omega language