When I first came across Samuel Johnson's pronouncement, `` the remedy for the ills of life is palliative rather than radical '', it seemed to me to sum up the profoundest of political and social truths.

Authorities hesitate to quote exact figures, however, believing that any sum they come up with is only a surface manifestation -- turned up by their inevitably limited policing -- of the real loot of the medical racketeer.

The names of foods are different as well, such as Manapua, from Hawaiian meaning " chewed up pork " for dim sum bao, though the meat is not necessarily pork.

During the course of his lifetime Sloane gathered an enviable collection of curiosities and, not wishing to see his collection broken up after death, he bequeathed it to King George II, for the nation, for the princely sum of £ 20, 000.

The collects of the Breviary are largely drawn from the Gelasian and other Sacramentaries, and they are used to sum up the dominant idea of the festival in connection with which they happen to be used.

To sum things up, the use of money in trading all goods ( capital / labor and consumer ) in all markets ( spot and financial ) combined with profit driven entrepreneurship and Darwinian natural selection in financial markets all combine to make rational economic calculation and allocation the outcome of the capitalist process.

The electric charge of a macroscopic object is the sum of the electric charges of the particles that make it up.

The sum and whole cause of the writings of this epistle, is, to prove that a man is justified by faith only: which proposition whoso denieth, to him is not only this epistle and all that Paul writeth, but also the whole scripture, so locked up that he shall never understand it to his soul's health.

This accord, which has been repeatedly extended up to the present day, provides for the television companies to make available an annual sum to support the production of films which are suitable for both theatrical distribution and television presentation.

Sir Nicholas had laid up a considerable sum of money to purchase an estate for his youngest son, but he died before doing so, and Francis was left with only a fifth of that money.

For the sake of simplicity, we might assume that the weights are normalized so that they sum up to 1 ( which can be easily done by dividing each weight by their sum ), thus allowing some terms in the above formulae to be omitted:

In mid-1848, President Polk authorized his ambassador to Spain, Romulus Mitchell Saunders, to negotiate the purchase of Cuba and offer Spain up to $ 100 million, an astounding sum at the time for one territory, equal to $ in present day terms.

He wrote a consort piece with the punning title " Semper Dowland, semper dolens " ( always Dowland, always doleful ), which may be said to sum up much of his work.

Similarly, the opportunity cost of attending university is the lost wages a student could have earned in the workforce, rather than the cost of tuition, books, and other requisite items ( whose sum makes up the total cost of attendance ).

This is because any simple n-gon can be considered to be made up of triangles, each of which has an angle sum of π radians or 180 degrees.

Like all triangular numbers, it is the sum of all natural numbers up to a certain point ; in this case: Furthermore, any even perfect number except the first one is the centered nonagonal number as well as the sum of the first odd cubes:

To sum up: Wittgenstein asserts that, if something is a language, it cannot be ( logically ) private ; and if something is private, it is not ( and cannot be ) a language.

When he was convinced that he might do so, he offered to give up the papacy into the hands of his godfather for a large sum of money.

For instance, Amr ibn al-As, after conquering Egypt, set up a census to measure the population for the jizya, and thus the total expected jizya revenue for the whole province, but organized the actual collection by partitioning the population into wealth classes, so that the rich paid more and the poor less jizya of that total sum.

In quantum computation, on the other hand, allowed operations are unitary matrices, which are effectively rotations ( they preserve that the sum of the squares add up to one, the Euclidean or L2 norm ).

where the's sum up to 1, and in the infinite dimensional case, we would take the closure of such states in the trace norm.

" The structure of a dissertation consists in an introduction that elucidates the basic definitions involved in the question as set, followed by an argument or thesis, a counter-argument or antithesis, and a resolving argument or synthesis that is not a compromise between the former but the production of a new argument, ending with a conclusion that does not sum up the points but opens onto a new problem.

But in the spring Flemming got them to move to Holly Hill, where they bought from him the on Washington Avenue, now LPGA Boulevard, between Daytona Avenue and Dixie Highway, for the sum of $ 75.

The Federalists strongly opposed the purchase, favoring close relations with Britain over closer ties to Napoleon, and were concerned that the United States had paid a large sum of money just to declare war on Spain.

: A strongly connected simple directed graph with n vertices is Hamiltonian if the sum of full degrees of some two distinct non-adjacent vertices is greater than or equal to.

Hegel's position is perhaps best illuminated when contrasted against the atomistic and reductionist view of human societies and social activities self-defining on an ad hoc basis through the sum of dozens of interactions.

The pain of excommunication was pronounced against all who should demand any sum whatever for sealed and authentic relics.

On 11 June 1304, with both of them having witnessed the heroic efforts of their countrymen during King Edward's siege of Stirling Castle, Bruce and William Lamberton made a pact that bound them, each to the other, in “ friendship and alliance against all men .” If one should break the secret pact, he would forfeit to the other the sum of ten thousand pounds.

It is divided into ( a ) the North African interrogations, ( b ) information gathered after the end of the war, and ( c ) an attempt to sum up the evidence for and against the possibility of German successes.

The law of Prussia discriminated against the Jews insofar as the testimony of a Jew against a Christian was valid only in civil cases, and in these only when they involved a sum less than fifty thalers.

After a preliminary strike against the Arabs in Armenia, Justinian managed to augment the sum paid by the Umayyad Caliphs as an annual tribute, and to regain control of part of Cyprus.

In 1251 he protested against a papal mandate enjoining the English clergy to pay Henry III one-tenth of their revenues for a crusade ; and called attention to the fact that, under the system of provisions, a sum of 70, 000 marks was annually drawn from England by the alien nominees of Rome.

She eventually settled her lawsuit against the movie's distributor for an undisclosed sum.

Gathering the other league owners together to contribute to the unprecedented amount on the grounds that inking such a major star gave instant credibility to the new rival league that was competing directly against the entrenched NHL, Jets ' owner Ben Hatskin agreed to the sum, and signed Hull as a player / coach for a contract worth $ 1, 000, 000 over ten years.

" In The Wire, Peter Shapiro compared the band favorably to Britpop bands Oasis and Blur, and defended their music against the charge that it is " nothing but the sum total of its arcane reference points.

And be it enacted that the President, cashier, each of the directors and officers of every institution established or to be established as aforesaid, offending against the provisions aforesaid shall forfeit a sum of $ 500 for each and every offence, and every person having any agency in circulating any note aforesaid, not stamped as aforesaid directed, shall forfeit a sum not exceeding $ 100, every penalty aforesaid to be recovered by indictment or action of debt in the county court of the county where the offence shall be committed, one-half to the informer and the other half to the use of the State ...

Moraz later took legal action against the group in the United States, which he won, but was then awarded only a nominal sum.

The knights ( citizens rich enough to own horses ) were the comic poet's natural allies against a populist such as Cleon-according to a passage in The Acharnians, they had recently forced him to hand over a large sum of money, implying that he had obtained it corruptly.

In 1371, Haakon acquired the release of his father from German imprisonment against a large ransom sum of 12, 000 silver marks, which alone was more than the kingdom's ordinary tax incomes just before the outbreak of the plague.

Soon after, a report was sent to Charlemagne, then at Aachen contemplating a campaign against the Danish king, Godfred, stating that the Frisians had already collected through taxation and paid a sum of one hundred pounds of silver.

His anger against Fesch was such that he stopped the sum of 150, 000 forms which had been accorded to him.

In the contest for speaker of the Riksdag ( Lantmarskalk ) the leaders of the two parties were again pitted against each other, when the verdict of the last Diet was exactly reversed, von Fersen defeating Rudbeck by 234, though Russia spent no less a sum than 90, 000 Riksdaler to secure the election of the latter.

Stuart Bray, who had originally invested a large sum of money in the project, claimed that he and his wife, Li Quan, watched the film crew " the prey up against the fence and into the path of the tigers just for the sake of dramatic footage.

NP-complete problems do not tend in their general case to be easier for unaided humans than for suitably programmed computers: it is doubtful that unaided humans would be able to compete successfully against computers in solving, for example, instances of the subset sum problem.

In such a radio receiver, a local oscillator ( LO ) is used to heterodyne or " beat " against the incoming radio frequency ( RF ), generating sum and difference frequencies.

After a successful legal campaign against HarperCollins, Patten went on to publish the book in the UK in September 1998 after accepting a sum of £ 500, 000 and receiving an apology from Rupert Murdoch.

In 2005 Clifford paid an undisclosed sum in libel damages to Neil Hamilton after he had represented Nadine Milroy-Sloan, who was convicted of attempting to pervert the course of justice after fabricating rape allegations against Hamilton.

During his stay in Lhasa, his true identity was discovered by two Kashmiri Muslim merchants residing at Lhasa, but not only did they not report him to the authorities, they lent him a small sum of money against the pledge of his watch.