Transpositions sentence example
Now a11A11= alla22a33...ann, wherein all is not to be changed, but the second suffixes in the product a 22 a 33 ...a nn assume all permutations, the number of transpositions necessary determining the sign to be affixed to the member.
These transpositions are purely arithmetical.
But of late years an increasing desire has been manifested, especially in Germany and America, to manipulate the fourth Gospel on grounds of internal evidence, at first only in the way of particular transpositions of more or less attractiveness, but latterly also by schemes of thorough-going rearrangement.
The same character frequently attaches to transpositions of words and parts of words.
In mathematics, the term "mean," in its most general sense, is given to some function of two or more quantities which (1) becomes equal to each of the quantities when they themselves are made equal, and (2) is unaffected in value when the quantities suffer any transpositions.Advertisement
And since MUP can produce MIDI files as well as doing transpositions, it really works well for what I needed.
Since a finite number of particles is only susceptible of finite transpositions, it must happen (he says), in an eternal duration that every possible order or position will be tried an infinite number of times, and hence this world is to be regarded (as the Stoics maintained) as an exact reproduction of previous worlds.
His prose works on various subjects - Prometheus, Symposium (a banquet at which Virgil, Horace and Messalla were present), De cultu suo (on his manner of life) - were ridiculed by Augustus, Seneca and Quintilian for their strange style, the use of rare words and awkward transpositions.