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Let [absolute value of ([A.sub.n])] be an nth-order alternant generated by the functions
Let us apply Theorem 1 to the alternant (28) generated by the functions (29), which are polynomials in a variable [x.sub.2].
However, the two stem forms are alternants of one another, after all.
The regularity of stem alternants resides in the stem itself, and has much deeper roots than the combination of stems and suffixes.
At this point the reader might like to see a few of the examples that have led scholars to believe that the alternants of -BA reflect sex- and number-marking.
The writing of alternants of -BA in the YCPS is rather complicated; to understand the problem it is necessary to consider the historical process by which the Uighur-script original of the Mongolian text (12) was transformed into the version in the Yuan-ch'ao pi-shih.
Note also that the complex stem alternants serve for derivation other than personal-noun derivation.
He outlines this approach as follows: "Verbs commonly display two major stem alternants, the present allostem, used for the present tense, imperative and present participles, and the past/infinitive allostem, used for past, infinitive, past (active) participle and (past) passive participle."
The distribution of the vestiges of the original Vernerian voiceless and voiced alternants in Old English strong verb paradigm entailed the presence of the old voiceless fricative in the infinitive and 1, 3sg.
They can be viewed instead as effects of some individual development, entailing liability to adopting a different ablaut pattern, in this particular case, the pattern of S[V.sub.4] The following forms are attested without Vemerian alternants:
Detailed examination of Old English material but also broader perspective adopted in which to view the data (namely, the relation between Sievers, gemination and Germanic reductive developments) allow to conclude that the Old English material furnishes cogent evidence for the presence of Sievers' distinct alternants *-iV- ~ *-iiV- in Proto-Germanic.
(7) As a result, no evidence for their syllabic alternants is available (Murray 1988: 221-222).