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sum and up
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.

sum and few
In this book, Hofstadter jokingly describes himself as " pilingual " ( meaning that the sum total of the varying degrees of mastery of all the languages that he's studied comes to 3. 14159 ...), as well as an " oligoglot " ( someone who speaks " a few " languages ).
Euler computed this sum to 20 decimal places with only a few terms of the Euler – Maclaurin formula in 1735.
In fact, when Bill Gates ' version of BASIC for the Altair was shared among the hacker community, Gates claimed to have lost a considerable sum of money because few users paid for the software.
In this manner he not only squared the annual deficit which at his accession had reached the sum of 170, 000 scudi, but within a few years the papal income was even in excess of the expenditures.
In this diagram, light emitted by the source S bounces off a few segments of the mirror ( in blue ) before reaching the detector at P. The sum of all paths must be taken into account.
Other vegetables which are often eaten in Thailand are thua fak yao ( yardlong beans ), thua ngok ( bean sprouts ), no mai ( bamboo shoots ), tomatoes, cucumbers, phak tam leung ( Coccinia grandis ), kha na ( Chinese kale ), phak kwangtung ( choy sum ), cha om ( tender Acacia pennata leaves ), sweet potatoes ( used more as a vegetable ), a few types of squash, phakatin ( Leucaena leucocephala ), sataw ( Parkia speciosa ), tua phū ( Winged beans ) and kapōt corn.
Because some people have both Bacon and Erdős numbers due to acting and publications, there are a rare few who have an Erdős – Bacon number, which is defined as the sum of a person's independent Erdős and Bacon numbers.
The sum was then used toward the purchase of a few stones which still form the base of the bell tower.
Technically, a vote of league owners was all that was required to win a title, but the owners had a gentlemen's agreement to pledge votes based on a score ( wins divided by the sum of wins and losses, with a few tiebreakers ).
Taking into consideration that Nagant was one of the few producers not engaged by competitive governments and generally eager to cooperate and share experience and technologies, the Commission paid him a sum of 200, 000 Russian roubles, equal to the premium that Mosin received as the winner.
With only a few exceptions, astronomical photography employs long exposures since both film and digital imaging devices can accumulate and sum light photons over long periods of time.
A few days before the election, on 27 April 1292, as the first of the electors, Archbishop Siegfried issued the Treaty Of Andernach, stating that for Adolf to be chosen king he must promise a long list of acknowledgments of possession ( including the imperial cities of Dortmund and Duisburg, and the Vogtship of Essen ), pledges of imperial cities and castles, and a sum of 25, 000 marks in silver.
All four ITA franchisees were expected to make losses in the first few years of operation but Granada's was a significant sum of £ 175, 000 ( nearly £ 3. 5m in 2011 ) and when it became profitable it had the lowest profits of the quartet.
A few years later, Quock Walker, a black slave, sued his master for false imprisonment ; the jury found for Walker, and awarded him damages of £ 50 ( not a small sum in those days ).
One could decide to leave the sum of such collections undefined, on the grounds that there are too few values to perform any addition.
According to him, the head was a repetition of the trunk — a kind of second trunk, with its limbs and other appendages ; this sum of his observations and comparisons — few of which he ever gave in detail — ought always to be borne in mind in comparing the share taken by Oken in homological anatomy with the progress made by other cultivators of that philosophical branch of the science.
Decades later, Debord would nostalgically ( though also somewhat ambiguously ) sum up the spirit of the times in his Panegyric ( 1989 ): " Between the rue du Four and the rue de Buci, where our youth so completely went astray as a few glasses were drunk, one could feel certain that we would never do any better.
In June, parliament quickly voted a sum to finance the disbanding of the expeditionary force, but Charles II decided to use the money to maintain it instead for a few months longer, in the hope he might still affect the final treaty.
After a few months, Perkins was indebted to the Heaths for a small sum.
He earned only a few hundred dollars for his work in The Gods Must Be Crazy, but by the time of the first sequel he was educated about the purpose and value of money within the modern world and negotiated a much larger sum for the film.
" Pursuing our purpose of putting American art prominently before the world, the directors a few years ago appropriated the sum of $ 25, 000 for the erection of an exhibition building in Venice on the grounds of the International Biennial.
The sum of the first 23 primes is 874, which is divisible by 23, a property shared by few other numbers .< ref > Puzzle 31 .- The Average Prime number, APN ( k ) = S ( P < sub > k </ sub >)/ k from The Prime Puzzles & Problems Connection website </ ref >
10003. 1 Thus, few digits from input ( i ) met those of sum.
The sum of the first 53 primes is 5830, which is divisible by 53, a property shared by few other numbers.
Although the original density is far from normal, the density of the sum of just a few variables with that density is much smoother and has some of the qualitative features of the normal density.

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