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1
Computational and Geometric Aspects of Modern Algebra
An automorphism TT of the tree T is called: a) finitary, if there exists a number s
depending on TT such that for any sequence x € BT we have "x" ws x"; b) weakly
fimtary, if for any x £ BT we have x* « z; c) confinal, if it preserves the relation of ...
2
Companion to Medieval and Renaissance Music
While the final is generally the most frequent cadential pitch in a particular mode,
as well as the usual ending pitch, the confinal is also suitable for ending a piece,
as well as an important cadential point. The confinal is a fifth above the final in ...
Tess Knighton, David Fallows,
1992
3
European Music, 1520-1640
[Morales ends the Kyrie by drawing on the motet]. (5) ... the endings of the Christe
. . . may close on the confinal of the tone, provided two endings in succession do
not close on the confinal . . . [Has Morales violated the rule by ending both Kyrie ...
4
Provability, Computability and Reflection
“A > 0 /\ A is not confinal with w” is consistent with ZF, then ZFC is consistent with
2NO = NA, together with (4) and (12) Every real-ordinal-definable set of real
numbers has cardinality g N, or 2“°. (4) implies that the set Of all constructible
reals, ...
5
Acta Scientiarum Mathematicarum
Theorem II. Let oja be a regular initial number >co and q a regular limit ordinal
number, p < coa . The set of all ordinal numbers X «= cox of the second kind
which are confinal to q is a stationary subset of rV(a>x). (See [2].) Theorem III. Let
cox ...
6
Compositional theory and practice in mid-sixteenth-century ...
Mode 1: 22 imitative beginnings Initial pitches: final (D), confinal (A), fifth above
the confinal (£). [A subject which starts on the confinal and moves down to the
final (a'-d'), for instance, will be answered by a melodic motion from scale degree
2 ...
Miguel A. Roig-Francolí,
1990
7
The modal system of Illuminato Aiguino
final, F, and the confinal, C, from three notes above (as shown) to four. The many
inconsistencies caused by this use of B-flat are discussed elsewhere (see
especially chapters 3 arid 5). Another issue related to the use of the seven letter-
...
8
Set Theory: An Introduction
An initial segment B is called proper if B * A. Note that in (Q, s ), the set [x : x < n }
is an initial segment not of either form Pred a or Pred*<7 for a € Q. Given U, V £ a
we say that U and V are cofinal (or confinal or coterminal, or that U is cofinal ...
9
Monografie Matematyczne
We say that an ordered set M is confinal with its subset N if there is no element of
the set M succeeding every element of the set JV. If the set M has a last element,
a, then it is of course confinal with its one- element subset {a}. The set of all real ...
10
Cardinal and ordinal numbers
We say that an ordered set M is confinal with its subset N if there is no element of
the set M succeeding every element of the set N. If the set M has a last element, a
, then it is of course confinal with its one- element subset {a}. The set of all real ...