If, however, as is the view of some of Fick's followers, the transposition took place several centuries earlier, before species of literature had appropriated particular dialects, then the linguistic facts upon which Fick relied to distinguish the " Aeolic " and " Ionic " elements in Homer disappear.
Yet it would seem there had been a still higher pitch used in the old ecclesiastical music. Upon this interesting question Praetorius is confused and difficult to understand, but he never wavers about the transposition of a fourth.
(v.) An alternative method of obtaining the rule of transposition is to change the zero from which we measure.
1, the transposition would not affect the two years' ministry.
In doing what he did, Descartes actually exemplified that reduction of the processes of nature to mere transposition of the particles of matter, which in different ways was a leading idea in the minds of Bacon, Hobbes and Gassendi.
Hence the transposition of columns merely changes the sign of the determinant.
Similarly it is shown that the transposition of any two columns or of any two rows merely changes the sign of the determinant.
An instance of transposition of words in part is in Shelley's "Invocation to Misery," 1.27, "And mine arm shall be thy pillow," where the 1st ed.
This kind of transposition is really arrested loss.
Of this the transposition of lines is the most notable example.
Israel or distinguished Israelites, the root being the same as in Jeshurun; (2) that Jashar (" lc) is a transposition of shir C, song); (3) that it should be pointed Yashir (W, sing; cf.
There is an apparently arbitrary transposition of lines and columns; the result would hold good if on the left-hand side we had written (a, (3, y), (a', 13', y'), (a", (3", y"), or what is the same thing, if on the right-hand side we had transposed the second determinant; and either of these changes would, it might be thought, increase the elegance of the form, but, for a reason which need not be explained,' the form actually adopted is the preferable one.
This transposition has had, as we shall see, much to do with the history of our subject, ultimately influencing the ecclesiastical chant and lasting until the 17th century of our era.
Thus by transposition we may write the last equation as follows 2HI =H2+12+12200 cal., and thus express that hydriodic acid when decomposed into its elements evolves 12200 cal.
(vii.) One result of the rule of transposition is that we can transpose all the terms in x to one side of equation, and all the terms not containing x to the other.
The transposition Pe wea~c vowels into the next syllable; e.g.
But with all these often opposed conditions, we find less variation than might be expected, the main and really important divergence being due to the necessity of transposition, which added a very high pitch to the primarily convenient low one.
This permutation by a transposition of two numbers, say a, 13, becomes 0, a, 7, ...
(iv.) The procedure is sometimes stated differently, the transposition being regarded as a corollary from a general theorem that the roots of an equation are not altered if the same expression is added to or subtracted from both members of the equation.
7-9, according to the necessary transposition proposed by Ewald).
The variation may have been one of local use, either in Judea or in Babylonia; or the author may have had some fanciful reason for the transposition, such as, for example, that Pe following Samech (mo) might suggest the word nmo, " Wail ye!