As S approaches T the square will be outside C and therefore both Af and Af must cross C an odd number of times as S varies from zero to T.

As S varies from zero to T, the values of S for which Af and Af cross C will be denoted by Af and Af respectively.

In practical situations there will be restrictions on the admissible operating conditions, and we regard the vectors as belonging to a fixed and bounded set S.

More technically, the law is concerned with the speedup achievable from an improvement to a computation that affects a proportion P of that computation where the improvement has a speedup of S. ( For example, if an improvement can speed up 30 % of the computation, P will be 0. 3 ; if the improvement makes the portion affected twice as fast, S will be 2.

However, if light travels at finite speed, the Earth, and therefore the eye piece of the telescope, moves from E to E ′ during the time it takes light to travel from S to E. Consequently, the star will no longer appear in the center of the eye piece.

Let S ( fig. 5 ) be any optical system, rays proceeding from an axis point O under an angle u1 will unite in the axis point O ' 1 ; and those under an angle u2 in the axis point O ' 2.

It has been hypothesized that the portion of the brain responsible for processing stimulation from amputated limbs, being deprived of input, expands into the surrounding brain, ( Phantoms in the Brain: V. S. Ramachandran and Sandra Blakeslee ) such that an individual who has had an arm amputated will experience unexplained pressure or movement on his face or head.

A U. S. Marine Corps F / A-18 Hornet squadron will be the first forward-deployed unit with the AGM-88E.

The bet in this municipal bond arbitrage is that, over a longer period of time, two similar instruments — municipal bonds and interest rate swaps — will correlate with each other ; they are both very high quality credits, have the same maturity and are denominated in U. S. dollars.

The U. S. Department of Defense investigation contract, which is ongoing, will also evaluate the effectiveness of copper alloy touch surfaces to prevent the transfer of microbes to patients and the transfer of microbes from patients to touch surfaces, as well as the potential efficacy of copper-alloy based components to improve indoor air quality.

However, most of this aid has been targeted at the Federation ; the previous government of the RS was anti-Dayton and not assisted by the U. S. The election of the " Sloga " or " Unity " Coalition government, led by Prime Minister Dodik, has shifted the balance of power in the Republika Srpska ( RS ) to a pro-Dayton stance and will result in an upsurge of funding to the RS from the international community.

For example, adding more S from the outside will cause an excess of products, and the system will try to counteract this by increasing the reverse reaction and pushing the equilibrium point backward ( though the equilibrium constant will stay the same ).

Under the terms of the U. S .- Chile FTA, the price bands will be completely phased out for U. S. imports of wheat, wheat flour, and sugar within 12 years.

Cuba refuses to extradite U. S. fugitives by stating that approval would be contingent upon the U. S. returning wanted Cuban criminals and that it will no longer provide safe haven to new U. S. fugitives who may enter Cuba.

The Colombian Government sought additional support from the IFIs, the European Union, and other countries, with the intention of financing the social component of the original plan, but met with little cooperation as the would-be donors considered that the U. S. approved aid represented an undue military slant and additionally lacked the will to spend such amounts of money.

The most intriguing aspect of the S & W Magnum chambered for the new Jet is that it can also fire standard

Lincoln also supported the Wilmot Proviso, which, if it had been adopted, would have banned slavery in any U. S. territory won from Mexico.

There he also received instruction in piano and counterpoint from professor Gustav Jacobsthal, and associated closely with Ernest Munch ( the brother of his former teacher ), organist of St William church, who was also a passionate admirer of J. S.

Alexis Carrel was also a member of learned societies in the U. S., Spain, Russia, Sweden, the Netherlands, Belgium, France, Vatican City, Germany, Italy and Greece and received honorary doctorates from Queen's University of Belfast, Princeton University, California, New York, Brown University and Columbia University.

* If S and T are in M then so are S ∪ T and S ∩ T, and also a ( S ∪ T )

* If a set S is in M and S is congruent to T then T is also in M and a ( S )

For referring specifically to a U. S. national and things, the words used are estadunidense ( also spelled estado-unidense ) ( United States person ), from Estados Unidos da América, and ianque ( Yankee ), but the term most often used is norte-americano, even though it could, as with its Spanish equivalent, in theory apply to Canadians, Mexicans, etc., as well.

In French, étasunien, from États-Unis d ' Amérique, distinguishes U. S. things and persons from the adjective américain, which denotes persons and things from the United States but may also refer to ' the Americas '; likewise, the German usages U. S .- amerikanisch and U. S .- Amerikaner observe said cultural distinction, solely denoting U. S. things and people.

It hit number 1 in the UK singles chart in April 1972, spending 24 weeks total on the charts, topped the RPM national singles chart in Canada for three weeks, and rose as high as number 11 in the U. S. It is also a controversial instrumental, as it combined pipes with a military band.

124-126 .</ ref > While other philosophers also recognized such transitions in states of matter, Anaximenes was the first to associate the quality pairs hot / dry and cold / wet with the density of a single material and add a quantitative dimension to the Milesian monistic system .< ref > Kirk, G. S., J. E.

From the most northerly point, Ras ben Sakka in Tunisia, in 37 ° 21 ′ N, to the most southerly point, Cape Agulhas in South Africa, 34 ° 51 ′ 15 ″ S, is a distance approximately of ; from Cape Verde, 17 ° 33 ′ 22 ″ W, the westernmost point, to Ras Hafun in Somalia, 51 ° 27 ′ 52 ″ E, the most easterly projection, is a distance ( also approximately ) of.

Because the WD1770 is capable of single density mode and uses the same IBM360 derived floppy disc format as the Intel 8271 found in the BBC Micro, it was also possible to run a DFS filing system with an alternate ROM, such as the P. R. E. S AP4 interface.

" She has also rejected an immigrant designation for African-Americans and instead prefers the term " black " or " white " to denote the African and European U. S. founding populations.

Morita was vice chairman of the Keidanren ( Japan Federation of Economic Organizations ), and was a member of the Japan-U. S. Economic Relations Group, also known as the " Wise Men's Group ".

Jewish-interest groups such as the University of Chicago's Shircago and Yale University's Magevet are also gaining popularity across the U. S.

The program was also a part of a general policy of forced draft urbanization, which aimed to destroy the ability of peasants to support themselves in the countryside, forcing them to flee to the U. S. dominated cities, depriving the guerrillas of their rural support base.

In addition, generous U. S. contributions to the refugee program in Pakistan played a major part in efforts to assist Afghan refugees.

" On 28 September 1944, the Telegraph Agency of the Soviet Union ( TASS ) reported that Tito signed an agreement with the U. S. S. R. allowing " temporary entry " of Soviet troops into Yugoslav territory which allowed the Red Army to assist in operations in the northeastern areas of Yugoslavia.

Any government that is willing to assist in recovery will find full co-operation on the part of the U. S. A.

Soon the U. S. Army standardized an upgrade of the XM16E1 as the M16A1 rifle, an M16 with a forward assist feature and other improvements requested by the Army.

This weapon, designated M16A2E2, also featured a " guide " of sorts as part of a special handguard developed by the U. S. Army Human Engineering Laboratory designed to assist in snap-shooting, and a carbine style stock very similar to the recent stock developed by the Naval Surface Warfare Center Crane Division.

U. S. and Allied efforts to assist Slovenia's military restructuring and modernization efforts are ongoing.

North tells Poindexter that Noriega can assist with sabotage against the Sandinistas, and supposedly suggests paying Noriega a million dollars cash ; from " Project Democracy " funds raised from the sale of U. S. arms to Iran – for the Panamanian leader's help in destroying Nicaraguan economic installations.

The Fugitive Slave Act of 1793 created the mechanism for recovering a fugitive slave, overruled any state laws giving sanctuary, made it a federal crime to assist an escaped slave, and allowed slave-catchers into every U. S. state and territory.

Since its inception under Harry S. Truman, the function of the Council has been to advise and assist the president on national security and foreign policies.

In addition, generous U. S. contributions to the refugee program in Pakistan played a major part in efforts to assist Afghan refugees.

Despite U. S. pressure on Japan to assist America in Iraq, Japan limited their involvement in the war to financial contribution primarily because of domestic opposition to the deployment of troops.

Some similarities include legal formalities ( with professionals such as real estate agents generally employed to assist the buyer ); taxes need to be paid ( but typically less than those in U. S .); legal paperwork will ensure title ; and a neutral party such as a title company will handle documentation and money to make the smooth exchange between the parties.

The U. S. Government continues to assist Benin with the improvement of living standards that are key to the ultimate success of Benin's experiment with democratic government and economic liberalization, and are consistent with U. S. values and national interest in reducing poverty and promoting growth.

According to the April 1907 issue of The Century Magazine, for well over 30 years dating from 1870, St. Clair County was in open rebellion against the U. S. Government, refusing to pay interest on bonds which it had issued to assist in the building of a railroad, which was never built.

Largemouth bass populations boomed after the U. S. Department of Agriculture began to advise and assist farmers in constructing and stocking farm ponds with largemouth bass, even offering advice on managing various fish species.

* Artists for a New South Africa, nonprofit organization working in the U. S. and South Africa to combat HIV / AIDS, assist children orphaned by the disease, advance human and civil rights

The U. S. Office of Economic Opportunity and its Wyandanch Community Action Center worked to improve bus routes, develop job training programs and assist the indigent with accessing government services.

To assist local police, the city deployed the first police car in the U. S. running on electricity.

It authorized the U. S. Government to spend $ 100 million in the years 2003, 2004, and 2005 to assist the population in areas of Sudan outside Sudanese government control.

Fully aware that the U-boat might at any moment sink or be blown up by exploding demolition and scuttling charges, he braved the added danger of enemy gunfire to plunge through the conning tower hatch and, with his small party, exerted every effort to keep the ship afloat and to assist the succeeding and more fully equipped salvage parties in making the U-505 seaworthy for the long tow across the Atlantic to a U. S. port.

When Saddam Hussein intervened in September 1996 by sending some 40, 000 troops to assist one side in a dispute between two Kurdish factions in northern Iraq, he demonstrated that he was not deterred by a U. S. warning against using military force.

Because of his role in " AIDS Lifeline " Bunn was asked by Dr. Mann, on behalf of the U. S. government, to take a two-year leave-of-absence to join Dr. Mann, an epidemiologist for the Centers for Disease Control, and assist in the creation of the Global Programme on AIDS for the United Nations ' World Health Organization.