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sums and limiting
The thieves evaded detection by limiting their transfers to small sums.
One method can be used, or a combination of these methods, or various limiting processes, for the purpose of finding these integrals or sums.

sums and liability
In April 2012, Cleveland Police admitted liability for “ malicious prosecution ” and were ordered to pay out over £ 841, 000, one of the largest compensation sums in UK police history.
Under joint and several liability or all sums, a claimant may pursue an obligation against any one party as if they were jointly liable and it becomes the responsibility of the defendants to sort out their respective proportions of liability and payment.

sums and were
Throughout these years, the statutory authorization was for such sums as were necessary to carry out the provisions of the Act.
In addition, disclosures that missile workers were earning sums far in excess of what is paid for equivalent work elsewhere provoked his indignation on behalf of the American taxpayer who was footing the bill.
There were two main categories in this group: those required to handle large sums of money, and the 10 generals, the strategoi.
By leaving large sums of money to their children, wealthy business leaders were wasting resources that could be used to benefit society.
Similar sums were also paid out for Guerrier, Mercure, Heureux and Peuple Souverain, while the other captured ships were worth considerably more.
There were sufficient hard up borrowers to take the inducement offered them by management ( in spite of few simple sums sufficing to demonstrate that they were probably going to end up effectively paying back the inducement ).
Generous sums of money were also donated by Brojendra Kishore Roy Choudhury, Maharaja Suryya Kanto Acharya Choudhury and Rashbihari Ghosh, who was appointed the first president of the university.
John maximised his right to demand relief payments when estates and castles were inherited, sometimes charging enormous sums, beyond barons ' abilities to pay.
Historically, the apparent motions of the planets were first understood geometrically ( and without regard to gravity ) in terms of epicycles, which are the sums of numerous circular motions.
People who were asked to contribute with large sums of money began to petition.
In Japan and elsewhere, vast sums were spent investigating so-called " fifth generation " languages that incorporated logic programming constructs.
Those already appointed were forced to pay huge sums to retain their posts.
In addition, other sums were to be paid to Saladin's brothers al-Adil and Taj al-Muluk Bari.
In terms of corruption, the general feeling was that senatorial elections were " bought and sold ", changing hands for favors and sums of money rather than because of the competence of the candidate.
While enormous sums were raised by private individuals and charities ( American Indians sent supplies, while Queen Victoria personally gave the present-day equivalent € 70, 000 ), lack of adequate action let the problem become a catastrophe.
These sums, together with the considerable amounts accruing from indulgences, jubilees, and special fees, vanished as quickly as they were received.
The sums remained relatively small but were often used for critical operations such as the ransoming of the king ’ s soldiers captured by the French.
Immense sums, however, were spent upon public works, in carrying through the comprehensive planning that had come to fruition during his retirement, bringing water to the waterless hills in the Acqua Felice, feeding twenty-seven new fountains ; laying out new arteries in Rome, which connected the great basilicas, even setting his engineer-architect Domenico Fontana to replan the Colosseum as a silk-spinning factory housing its workers.
Because of the extravagant promises made by Tirpitz before 1914 that sea power equalled world power, and because of the equally extravagant sums that were spent on the Navy during the Anglo-German naval race ( by 1913-14, the Anglo-German naval race was costing so much money as the Reich government continued to pour vast sums of money into the Navy that concerns started to be expressed about Germany's creditworthiness.
These sums were amended by the Montreal Additional Protocol No. 2 to substitute an expression given in terms of SDR's.
The cable companies began to lose large sums of money in 1927, and a serious financial crisis threatened the viability of cable companies that were vital to strategic British interests.

sums and originally
PayPal defines a micropayment as a transaction of less than 12 USD while Visa prefers transactions under 20 Australian dollars, and though micropayments were originally envisioned to involve much smaller sums of money, practical systems to allow transactions of less than 1 USD have seen little success.
Their debts would amount to ten times the loan they had originally taken out, and El Barzón refers to the massive social movement where elements of the traditionally quiet middle class rose up and refused to pay the monstrous sums of money that were expected of them by lending institutions.

sums and given
An example of an NP-complete problem is the subset sum problem: given a finite set of integers is there a non-empty subset which sums to zero?
* < tt > Bitser </ tt >, a free Microsoft Windows application that calculates MD5, SHA-1 and SHA-256 sums for any given input file.
These higher stakes contests also opened up the door to reality television contests such as Survivor and Big Brother, in which contestants win large sums of money for outlasting their peers in a given environment.
where μ is the Möbius function and the sums extend over all positive divisors d of n. In effect, the original f ( n ) can be determined given g ( n ) by using the inversion formula.
The principal reason given by the government to the court for this assertion was the decision of the rail regulator-announced on 22 September 2002-to carry out an interim review of the company's finances, with the potential to advance significant additional sums to the company.
There are references to a " ten percent collection fee " to cover expenses when he extracts large sums from victims, the remainder being returned to the owners, given to charity, shared among Templar's colleagues, or some combination of those possibilities.
Washington revealed that Rogers had been quietly funding operations of 65 small country schools for African Americans, and had given substantial sums of money to support Tuskegee and Hampton institutes.
It is important to note that this approach does not evaluate the genotype of any particular locus, but instead sums the contributions for a given repeated motif from the many positions in which that motif exists across the genome.
The problem is as follows: given a set of numbers and a number b, find a subset of, which sums to b. In general, this problem is known to be NP-complete.
The zero object is the trivial group, the addition of morphisms is given point-wise, and biproducts are given by direct sums.
By 1782 Vergennes was growing increasingly frustrated by what he regarded as the inability of the United States to justify its use of the large sums of money which France had given them.
Gifts are frequently given — new clothes are part of the tradition — and it is also common for children to be given small sums of money ( Eidi ) by their elders.
In Malaysia, children will be given token sums of money, also known as " duit raya ", from their parents or elders.
After prying the lock open, she finds it lists large sums of money given to Mrs Erlynne.
Questioned about some of the large sums of money he had received while in India, Clive pointed out that they were not contrary to accepted company practice, and defended his behavior by stating " I stand astonished at my own moderation " given opportunities for greater gain.
Two long papers published in 1840 — one on attractions and Clairaut's theorem, and the other on the variation of gravity at the surface of the earth — also demand notice, as do his mathematical memoirs on the critical values of sums of periodic series ( 1847 ) and on the numerical calculation of a class of definite integrals and infinite series ( 1850 ) and his discussion of a differential equation relating to the breaking of railway bridges ( 1849 ), research related to his evidence given to the Royal Commission on the Use of Iron in Railway structures after the Dee bridge disaster of 1847.
An example of a stable algorithm in this specific case is one that first sorts the array by the absolute values of the elements in ascending order and then sums them up using the pseudo code given above.
Focused on perestroika, Gorbachev struggled to boost production of consumer goods, which would be impossible given the twin burdens of the Cold War arms race on one hand, and the provision of large sums of foreign and military aid, which the socialist allies had grown to expect, on the other.
Ibas in person answered the 18 charges, mostly of a frivolous character and destitute of proof: e. g. that he had appropriated a jewelled chalice to his own use ; that the wine at the Eucharist was inferior in quality and quantity ; the malversation of sums given for the ransom of captives ; simoniacal ordinations and the admission of unfit persons to the ministry and episcopate, especially his nephew Daniel, whom he had made bishop of Charrae.
Other champions of the Catholic Reformation, such as the Capuchins, were also given considerable sums.
Conversely the index theorem for an elliptic complex can easily be reduced to the case of an elliptic operator: the two vector bundles are given by the sums of the even or odd terms of the complex, and the elliptic operator is the sum of the operators of the elliptic complex and their adjoints, restricted to the sum of the even bundles.

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