Exact(13)
Thus the monoid of finite words over an alphabet X is the free monoid on X.
The second automaton is partial and non-deterministic on finite words.
For example, the state (T_0) acts on the finite words by transformations (x_1x_2cdots x_nmapsto 0x_1x_2cdots x_{n-1}).
By (Lambda^{ast}) we denote the set of all finite words, namely (Lambda ^{ast}=bigcup_{ninmathbb{Z}^Lambda_{n}).
Denote by (X^*) the set of finite words over X, which we will view as the free monoid generated by X.
The set of all finite words with letters taken from (mathcal{A}) is the set (mathcal{A}^{ast} = bigcup_{n= 0}^{infty} mathcal{A}^{n}).
Similar(47)
And the delta operator approach is implemented to improve a finite word-length (FWL) characteristics.
As widely known, computation using finite word length leads to rounding and truncation errors [29, 64].
A novel Finite Word Length (FWL) controller design is proposed in the framework of a mixed μ theory.
Constantinescu and Ilie (2006) introduced the idea of an Abelian period with head and tail of a finite word.
A novel optimal Finite Word Length (FWL) controller design is proposed in the framework of μ theory.
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