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The polar subbundle [N.sub.k.sup.o] [subset] T*[T.sup.k] M (given by forms in T*[T.sup.k] M that are null on [N.sub.k]) is canonically isomorphic with the dual of the vertical bundle [V.sub.k-1.sup.k] M, thus the inclusion [N.sub.k.sup.o] [subset] T*[T.sup.k] M reverses by duality to a vector bundle epimorphism T[T.sup.k] M [[C.sup.(k-1)] over [right arrow]] [V.sub.k-1.sup.k] M that defines the connection [C.sup.(k-1)].
A canonically marked graph S is said to be canonically sign-compatible (or C-sign-compatible) if end vertices of every negative edge receive "-" sign and no positive edge has both of its ends assigned "-" under [mu].
"Canonically, Ivy is a character who makes use of her seductive powers to get what she wants in the world," Stephens said.
Canonically, scandal occurs when public knowledge of something could cause confusion among the faithful.
The LCWR, it must be remembered, is a canonically recognized Conference of Major Superiors of women religious in the U.S.A.
It was not until 1698, two years before the death of its founder, that the Congregation of Notre Dame was canonically established as a lay community (its members were not cloistered), the first of its kind in Canada and one of the first in the Roman Catholic world.
claims that with predestination "the theological controversies arise from Scripture itself"; that it is "a biblical doctrine" (8) suggests Scripture's irreducibility as canonically text and authority.
Canonically, each Eastern Catholic Church is sui iuris or autonomous with respect to other Catholic Churches, whether Latin or Eastern.
The result is that this volume contents 16 chapters dedicated to 19 countries (the Baltic states are presented together, as well as Czech Republic and Slovakia) where the Orthodox churches are present, while in this part of the world there are only 11 canonically recognized Orthodox churches.
While these "principles" could be located canonically, the omission of numerous areas of the Old Testament in Yoder's work indicates that these scriptural "principles" may not necessarily have to be fully "canonical" to provide normative guidance.
Indeed, so lucid is the exposition throughout that the book makes almost as good an introduction to canonically postmodern approaches to the fiction of the 196os, 197os, and 198os as it does to Pynchon in particular.
There is no heading for "Bible," but instead one for "Hebrew Bible" and another for "New Testament" (with individual books arranged alphabetically rather than canonically).