A Fast Algorithm for Computing Multiplicative Inverses in GF ( 2 < sup > m </ sup >) Using Normal Bases.

A tragedy, by his definition, is an imitation of an action that is serious, of a certain magnitude, and complete in itself.

Throughout the rest of the Poetics, Aristotle continues to discuss the characteristics of these six parts and their interrelationship, and he refers frequently to the standards suggested by his definition of tragedy.

The poet was by definition a realist, his imaginings and parables being natural organizations of reality.

First, we can encourage responsibility by establishing as conditions for assistance on a substantial and sustained scale the definition of objectives and the assessment of costs.

But contest definition -- that dramatic muscular separation of every muscle group that seems as though it must have been carved by a sculptor's chisel -- is something quite different.

If Af is the operator induced on Af by T, then evidently Af, because by definition Af is 0 on the subspace Af.

Though there is obviously great need for continued experimentation with various types of short-term intervention to further efforts in developing an operational definition of prevention at the secondary -- or perhaps, in some instances, primary -- level, the place of short-term intervention has already been documented by a number of investigators in a wide variety of settings.

Professor McNeill thinks that at Yalta, Stalin did not fully realize the dilemma which faced him, that he thought the exclusion of the anti-Soviet voters from East European elections would not be greatly resented by his allies, while neither Roosevelt nor Churchill frankly faced `` the fact that, in Poland at least, genuinely free democratic elections would return governments unfriendly to Russia '', by any definition of international friendliness.

It has to, by virtue of the very dictionary definition of the word `` few ''.

these, almost by definition, are spokesmen for an alienated ideology.

Finally, when the accelerometer output is zero, the entire system remains stationary, and the platform is, by definition, leveled.

If Bultmann's own definition of myth is strictly adhered to ( and it is interesting that this is almost never done by those who make such pronouncements ), the evidence is overwhelming that he does not at all exaggerate the extent to which the mythological concepts of traditional theology have become incredible and irrelevant.

According to the definition by IUPAC, the former two are alkanes, whereas the third group is called cycloalkanes.

The appellate court will typically be deferential to the lower court's findings of fact ( such as whether a defendant committed a particular act ), unless clearly erroneous, and so will focus on the court's application of the law to those facts ( such as whether the act found by the court to have occurred fits a legal definition at issue ).

In the narrowest definition, the Amaryllidaceae sensu stricto is characterized by an umbellate inflorescence with an inferior ovary.

Under this definition, Anatolia is bounded to the East by the Armenian Highland, and the Euphrates before that river bends to the southeast to enter Mesopotamia.

This wider definition of Anatolia has gained widespread currency outside of Turkey and has, for instance, been adopted by Encyclopedia Britannica and other encyclopedic and general reference publications.

* Identity: the identity is the identity morphism from an object to itself which exists by definition.

Partial and total orders are antisymmetric by definition.

The latter definition ignores the direction of the vectors and thus describes the angle between one-dimensional subspaces and spanned by the vectors and correspondingly.

The definition of the angle between one-dimensional subspaces and given by

This definition was adopted by the United Nations Sub-Commission on the Promotion and Protection of Human Rights in The Despouy Report on Human Rights and Extreme Poverty.

It is possible, although highly doubtful, that he killed none at all but merely let his reputation work for him by privately claiming every unsolved murder in the state.

At the outset of his career, Steinberg had dedicated himself to the advancement of contemporary music by vowing to do a Schonberg work every year.

they were topped by steeples complete in every detail: high-pitched roof, pinnacle, and narrow gable.

Every path from back door to barn was covered by a grape-arbor, and every yard had its fruit trees.

This is a problem to be solved not by America alone, but also by every nation cherishing the same ideals and in position to provide help.

Through the World Bank and other instrumentalities, as well as through individual action by every nation in position to help, we must squarely face this titanic challenge.

`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.

His neighbors celebrated his return, even if it was only temporary, and Morgan was especially gratified by the quaint expression of an elderly friend, Isaac Lane, who told him, `` A man that has so often left all that is dear to him, as thou hast, to serve thy country, must create a sympathetic feeling in every patriotic heart ''.

Had U.S. warships not appeared off the Dominican coast, there is every possibility that the country would now be wracked by civil war.

The brushes can be cleaned and sterilized by boiling and are detachable so that every member of the family can have his own.

Suggest the following twenty-first-century amendment: By moving the term `` Republic '' to lower case, substituting the modern phrase, `` move ahead '' for the stodgy `` keep '', and by using the Postmaster's name on every envelope ( in caps, of course, with the `` in spite '' as faded as possible ), the slogan cannot fail.

Now, driving the horse and sulky borrowed from Mynheer Schuyler, he felt as if every bone was topped by burning oil and that every muscle was ready to dissolve into jelly and leave his big body helpless and unable to move.

He refused to bring Claire to it even as an occasional visitor, claiming that his every move was watched by spies of the Milbankes.

Cardboard noisemakers, substitutes for the unavailable tin models, were being hawked and bought at makeshift stands every few yards along Broadway, and one's ears were continually serenaded by the horns' rasps and bleats.

In order to further refine the management of passenger vehicles, on July 1, 1958, the actual title to every vehicle was transferred, by Executive Order, to the Division of Methods, Research and Office Services.

and quality of advice, added to devotion to the Foundation's purposes and ideals, we do get from our Advisory Board in measures so full that they can be appreciated only by those of us who work here every day.

In addition to the rich soil they benefit by feedings of manure water every other week, diluted to the color of weak tea.

I tested it in my scoped S & W and it was good enough to allow me to hit a chuck with every shot at 100 yards if I did my part by holding the handgun steadily.

Easy to get to, and becoming more popular every year, it is only fourteen hours from New York by Pan American World Airways jet, four hours from Rome.

If the vertex is at Af, and if the interior of C is on the left as one moves in the direction of increasing t, then every such corner can be found from the curve obtained by rotating C clockwise through 90-degrees about the vertex.

Autosuggestibility, the reaction of the subject in such a way as to conform to his own expectations of the outcome ( i.e., that the arm-rise is a reaction to the pressure exerted in the voluntary contraction, because of his knowledge that `` to every reaction there is an equal and opposite reaction '' ) also seems inadequate as an explanation for the following reasons: ( 1 ) the subjects' apparently genuine experience of surprise when their arms rose, and ( 2 ) manifestations of the phenomenon despite anticipations of something else happening ( e.g., of becoming dizzy and maybe falling, an expectation spontaneously volunteered by one of the subjects ).

Now, with virtually every writer, not only was the European origin of public law acknowledged as a historical phenomenon, but the rules thus established by the advanced civilizations of Europe were to be imposed on others.