Sentence examples for leading words from inspiring English sources

He suggested instead that a GS basis must be minimal (the leading words do not contain each other as subwords).

Another key lemma says that if S is a GS basis and the leading words of two normal S -terms are the same then these terms are the same modulo lower normal S -terms.

This S c is called the GS completion of S. Using the reduction algorithm (elimination of the leading words of polynomials), we may obtain a minimal GS basis S c or a reduced GS basis.

Given a k -monic subset S ⊂ L i e k [ Y ] ( X ) and w ∈ [ Y ] X ∗, which is not necessarily in T A, an element h ∈ L i e k [ Y ] ( X ) is called trivial modulo ( S, w ) if h can be expressed as a k [ Y ] -linear combination of normal S -words with leading words smaller than w.

Five years ago WordPerfect was the world's leading word processor, with more than 50percentt of the market.

In acronyms beginning with a consonant that can be hard or soft, the leading word of the expanded version tends to determine the sound.

Throughout the 1980s WordPerfect ranked as the most popular word-processing software on PCs, but since the 1990s Microsoft Word has become the leading word processor for both Windows and Macintosh users.

Then every nonzero polynomial f ∈ K 〈 X 〉 has the leading word f ¯.