This rule proved inconvenient when a monastery was situated in a desert or at a distance from a city, and necessity compelled the ordination of some monks.

This proved to be a very popular alternative milieu, so much so that much of the supplemental material is now included in the core rule book.

The higher-dimensional chain rule can be proved using a technique similar to the second proof given above.

The Moroccans proved unable to rule the kingdom effectively, however, and it split into many small kingdoms.

Depending on the particular formalism adopted for the calculus, it may be seen as a simple application of a " functional substitution " rule of inference, as in Gödel's paper, or it may be proved by considering the formal proof of, replacing in it all occurrences of Q by some other formula with the same free variables, and noting that all logical axioms in the formal proof remain logical axioms after the substitution, and all rules of inference still apply in the same way.

There were some opposition to his rule in Normandy, yet it proved remarkably easy to rule, especially compared to the County of Toulouse which had been brutally conquered.

The Albanians proved generally faithful to Ottoman rule following the end of the resistance led by Skanderbeg, and accepted Islam more easily than their neighbors.

it is chiefly the rule of substitution which would have to be proved " ( Gödel 1944: 124 )

Contrary to the modern notion of a dictator as an usurper, Roman Dictators were freely chosen, usually from the ranks of consuls, during turbulent periods when one-man rule proved more efficient.

The acquisition of Lorraine for the former Polish king, however, proved of lasting benefit to France, as it passed under direct French rule with Stanisław's death in 1766.

Willkie proved the exception to this rule.

Babylon proved to be relatively weak under the long rule of the Kassites, and spent long periods under Assyrian and Elamite domination and interference.

When the Netherlands revolted against Spanish rule, beginning in 1566, the territories in what is now Nord-Pas-de-Calais were those most loyal to the throne, and proved the base from which the Duke of Parma was able to bring the whole southern part of the Netherlands back under Spanish control.

His rule proved highly unpopular within his own country ( due to the reforms mentioned earlier ), and in the Soviet Union.

In 1522, the Taíno Cacique Enriquillo ( Little Henry ) successfully rebelled against Spanish rule, forcing them to agree to a treaty that granted the natives the human rights of Freedom and of Possession ; yet that forced concession proved inconsequential, because European diseases, slavery, and ritual infanticide and suicide ( meant to avoid adult and infantile enslavement ) quickly killed most of the Taíno people.

About 4 months later, Carleton's apprehensions regarding the ability of the Canadian noblesse ( nobility ) and clergy to rule over the people are proved right.

There is no special reason to think that Cavour now envisaged the unification of the rest of Italy under Piedmontese rule since these areas were of little interest economically and could be a financial burden, but events proved to have a life of their own.

During the eighth century, Pamplona and its hinterland oscillated between two powerful states, Moors and Franks, but they proved unable to permanently secure its rule over the Basque region.

After half a century of largely unrestricted parliamentary rule proved just as ruinous, King Gustav III seized back royal power in the coup d ' état of 1772, and later once again abolished the privy council under the Union and Security Act in 1789, which, in turn, was rendered void in 1809 when Gustav IV Adolf was deposed in a coup and the constitution of 1809 was put in its place.

It proved to be the last major rebellion against Bolshevik rule.

He became a magistrate, and soon proved himself as an efficient enforcer of French rule against a series of anti-colonial disturbances in 1939.

Once Vietnam did succumb to foreign rule, however, it proved unable to escape from it, and for 1, 100 years, Vietnam had been successively governed by a series of foreign powers: the Hans, Eastern Hans, Eastern Wus, Cao Wei, Jins, Liu Songs, Southern Qis, Liangs, Suis, Tangs, and Southern Hans ; leading to the losses of its writing system, language, and national identity.

In proof by mathematical induction, a single " base case " is proved, and an " induction rule " is proved, which establishes that if a certain case is true, then another case is true.

A very rough rule of thumb is that, under favorable conditions, you'll need 15 BTU's of cooling for every square foot of your house.

When things got a little out of hand, they very rapidly got a lot out of hand -- it seemed to be a general rule.

There were no depressingly serious cases: the ward doctor sometimes teamed up with the chaplain to serve as a marriage counselor -- sometimes the Navy sent people back to the States to preserve a marriage -- but mental health as a rule was very high.

He noted, ' Captains ... to be successful must possess, in a marked degree, initiative, resource, determination, and no fear of accepting responsibility ', and particularly regarding wartime conditions '... as a rule instructions will be of a very general character so as to avoid interfering with the judgement and initiative of captains ... The admiral will rely on captains to use all the information at their disposal to grasp the situation quickly and anticipate his wishes, using their own discretion as to how to act in unforeseen circumstances ..' The approach outlined by Beatty contradicted the views of many within the navy, who felt that ships should always be closely controlled by their commanding admiral, and harked back to reforms attempted by Admiral George Tryon.

As a very general rule, primary explosives are considered to be those compounds that are more sensitive than PETN.

Fatwā have no direct place in the system, except to clarify very unusual or subtle points of law for experts ( not covered by the provisions of modern civil law ), or to give moral authority to a given interpretation of a rule.

As a rule, only very advanced horses and riders use double bridles.

Clearly, this rule flies in the face of the first-user homesteading rule, arbitrarily and groundlessly overriding the very homesteading rule that is at the foundation of all property rights.

Any foreigners who came to Paraguay during his rule ( which would have been very difficult ) were not allowed to leave for the rest of their life.

# " Spearheading the shift from impunity to accountability ", pointing out that, until very recently, it was the only court judging crimes committed as part of the Yugoslav conflict, since prosecutors in the former Yugoslavia were, as a rule, reluctant to prosecute such crimes ;

These historians were generally unsympathetic to John's behaviour under Richard's rule, but slightly more positive towards the very earliest years of John's reign.

From the very beginning, the Latins were little more than a colonial frontier exercising rule over the native Muslim, Greek and Syrian population, who were more numerous.

The Turks were the common enemy for everyone, as they were only very recent arrivals in the Levant, and although they had imposed their rule prior to the arrival of the crusaders, it is unlikely that they were thoroughly Islamicized as Prawer and others believed.

Since the 1920s this discrepancy has been explained by the presence of isotopes ; the atomic mass of any isotope is very close to satisfying the whole number rule, with the mass defect caused by differing binding energies being significantly smaller.

The lack of an obvious rule to determine whether a given Mersenne number is prime makes the search for Mersenne primes an interesting task, which becomes difficult very quickly, since Mersenne numbers grow very rapidly.

During his rule, Banda was one of the very few post-colonial African leaders to maintain diplomatic relations with apartheid South Africa.

Although neurons are very diverse and there are exceptions to nearly every rule, it is convenient to begin with a schematic description of the structure and function of a " typical " neuron.

It is here where it can be argued that it's impossible to get a higher or maximum concept of God since existence, as an entity itself, would be the totality of causality, every force to cause, every effect from cause, everything in and of existence, every governing rule or law, every property and attribute, and the very necessity and essence value of all there is, was, could be, or ever will be.

This scenario certainly made it very different from other lands which existed under colonial rule, as many Europeans had arrived to make permanent homes, populating the towns as traders or settling to farm the most productive soils.

They also claim that the belief that solar deities are primarily male is linked to the fact that a few better known mythologies ( such as those of late classical Greece and late Roman mythology ) rarely break from this rule, although closer examination of the earlier myths of those cultures reveal a very different distribution than the contemporary popular belief.

A mercy rule, also well known by the slightly less polite term slaughter rule ( or, less commonly, knockout rule and skunk rule ), brings a sports event to an early end when one team has a very large and presumably insurmountable lead over the other team.