input: Please answer the following: Question: "LED stands for what?" Context: "In recent years light emitting diodes (LEDs) are becoming increasingly efficient leading to an extraordinary increase in the use of solid state lighting. In many situations, controlling the light emission of LEDs may be done most effectively by using the principles of nonimaging optics." Answer:
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output: light emitting diodes

Please answer this: Question: "What pervasive material makes experimental QED vacuums impossible?" Context: "In quantum mechanics and quantum field theory, the vacuum is defined as the state (that is, the solution to the equations of the theory) with the lowest possible energy (the ground state of the Hilbert space). In quantum electrodynamics this vacuum is referred to as 'QED vacuum' to distinguish it from the vacuum of quantum chromodynamics, denoted as QCD vacuum. QED vacuum is a state with no matter particles (hence the name), and also no photons. As described above, this state is impossible to achieve experimentally. (Even if every matter particle could somehow be removed from a volume, it would be impossible to eliminate all the blackbody photons.) Nonetheless, it provides a good model for realizable vacuum, and agrees with a number of experimental observations as described next." Answer:
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Answer: blackbody photons

Problem: Question: "What made the Battle of Santa Cruz de los Rosales an oddity?" Context: "The Treaty of Guadalupe Hidalgo, signed on February 2, 1848, by American diplomat Nicholas Trist and Mexican plenipotentiary representatives Luis G. Cuevas, Bernardo Couto, and Miguel Atristain, ended the war, gave the U.S. undisputed control of Texas, and established the U.S.Mexican border of the Rio Grande. As news of peace negotiations reached the state, new call to arms began to flare among the people of the state. But as the Mexican officials in Chihuahua heard that General Price was heading back to Mexico with a large force comprising several companies of infantry and three companies of cavalry and one division of light artillery from Santa Fe on February 8, 1848, Angel Trias sent a message to Sacramento Pass to ask for succession of the area as they understood the war had concluded. General Price, misunderstanding this as a deception by the Mexican forces, continued to advance towards the state capital. On March 16, 1848 Price began negotiations with Angel Trias, but the Mexican leader responded with an ultimatum to General Price. The American forces engaged with the Mexican forces near Santa Cruz de los Rosales on March 16, 1848. The Battle of Santa Cruz de los Rosales was the last battle of the MexicanAmerican War and it occurred after the peace treaty was signed. The American forces maintained control over the state capital for three months after the confirmation of the peace treaty. The American presence served to delay the possible succession of the state which had been discussed at the end of 1847, and the state remained under United States occupation until May 22, 1848." Answer:

A: it occurred after the peace treaty was signed

Problem: Given the question: Question: "Which location is farther away from Bermuda, Miami, Florida or Cape Sable Island?" Context: "Bermuda is a group of low-forming volcanoes located in the Atlantic Ocean, near the western edge of the Sargasso Sea, roughly 578 nautical miles (1,070 km (665 mi)) east-southeast of Cape Hatteras on the Outer Banks of North Carolina and about 594 nautical miles (1,100 km (684 mi)) southeast of Martha's Vineyard of Massachusetts. It is 898 nautical miles (1,664 km (1,034 mi)) northeast of Miami, Florida, and 667 nautical miles (1,236 km (768 mi)) from Cape Sable Island, in Nova Scotia, Canada. The islands lie due east of Fripp Island, South Carolina, west of Portugal and north of Puerto Rico." Answer:
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The answer is:
Miami, Florida

input question: Question: "What are these groups?" Context: "for any constant c. Matrix groups over these fields fall under this regime, as do adele rings and adelic algebraic groups, which are basic to number theory. Galois groups of infinite field extensions such as the absolute Galois group can also be equipped with a topology, the so-called Krull topology, which in turn is central to generalize the above sketched connection of fields and groups to infinite field extensions. An advanced generalization of this idea, adapted to the needs of algebraic geometry, is the etale fundamental group." Answer:???
output answer: Galois groups of infinite field extensions such as the absolute Galois group can also be equipped with a topology, the so-called Krull topology, which in turn is central to generalize the above sketched connection of fields and groups to infinite field extensions

input question: Question: "Which came first, The Universal Declaration of Human Rights or the Child Labour (Prohibition and Regulation) Act?" Context: "International influences help to encourage legal actions to be taken in India, such as the Geneva Declaration of the Right of Children Act was passed in 1924. This act was followed by The Universal Declaration of Human Rights in 1948 to which incorporated the basic human rights and needs of children for proper progression and growth in their younger years. These international acts encouraged major changes to the workforce in India which occurred in 1986 when the Child Labour (Prohibition and Regulation) Act was put into place. This act prohibited hiring children younger than the age of 14, and from working in hazardous conditions." Answer:???
output answer:
The Universal Declaration of Human Rights