Problem: Please answer a question about the following article about Madrasa:
In 2004, madaris were mainstreamed in 16 Regions nationwide, primarily in Muslim-majority areas in Mindanao under the auspices of the Department of Education (DepEd). The DepEd adopted Department Order No. 51, which instituted Arabic-language and Islamic Values instruction for Muslim children in state schools, and authorised implementation of the Standard Madrasa Curriculum (SMC) in private-run madaris. While there are state-recognised Islamic schools, such as Ibn Siena Integrated School in the Islamic City of Marawi, Sarang Bangun LC in Zamboanga and SMIE in Jolo, their Islamic studies programmes initially varied in application and content.
What law protects the teaching of Arabic and Islamic traditions in Mindanao?
A: Department Order No. 51

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At the University of Vienna, Hayek earned doctorates in law and political science in 1921 and 1923 respectively; and he also studied philosophy, psychology, and economics. For a short time, when the University of Vienna closed, Hayek studied in Constantin von Monakow's Institute of Brain Anatomy, where Hayek spent much of his time staining brain cells. Hayek's time in Monakow's lab, and his deep interest in the work of Ernst Mach, inspired Hayek's first intellectual project, eventually published as The Sensory Order (1952). It located connective learning at the physical and neurological levels, rejecting the "sense data" associationism of the empiricists and logical positivists. Hayek presented his work to the private seminar he had created with Herbert Furth called the Geistkreis.

With whom did Hayek establish the Geistkreis?
Answer: Herbert Furth

Problem: A new style of wafers composed of gallium-nitride-on-silicon (GaN-on-Si) is being used to produce white LEDs using 200-mm silicon wafers. This avoids the typical costly sapphire substrate in relatively small 100- or 150-mm wafer sizes. The sapphire apparatus must be coupled with a mirror-like collector to reflect light that would otherwise be wasted. It is predicted that by 2020, 40% of all GaN LEDs will be made with GaN-on-Si. Manufacturing large sapphire material is difficult, while large silicon material is cheaper and more abundant. LED companies shifting from using sapphire to silicon should be a minimal investment.
What needs to be used to reflect light that would otherwise be wasted?
The answer is the following: mirror-like collector

In February 1853, the British government of Lord Aberdeen, the prime minister, re-appointed Stratford Canning as British ambassador to the Ottoman Empire.:110 Having resigned the ambassadorship in January, he had been replaced by Colonel Rose as charge d'affaires. Lord Stratford then turned around and sailed back to Constantinople, arriving there on 5 April 1853. There he convinced the Sultan to reject the Russian treaty proposal, as compromising the independence of the Turks. The Leader of the Opposition in the British House of Commons, Benjamin Disraeli, blamed Aberdeen and Stratford's actions for making war inevitable, thus starting the process which would eventually force the Aberdeen government to resign in January 1855, over the war.
Who did Stratford Canning convince to turn down the treaty proposal?
Sultan

Input: Aircraft carrier
The development of flattop vessels produced the first large fleet ships. In 1918, HMS Argus became the world's first carrier capable of launching and recovering naval aircraft. As a result of the Washington Naval Treaty of 1922, which limited the construction of new heavy surface combat ships, most early aircraft carriers were conversions of ships that were laid down (or had served) as different ship types: cargo ships, cruisers, battlecruisers, or battleships. These conversions gave rise to the Lexington-class aircraft carriers (1927), Akagi and Courageous class. Specialist carrier evolution was well underway, with several navies ordering and building warships that were purposefully designed to function as aircraft carriers by the mid-1920s, resulting in the commissioning of ships such as Hosho (1922), HMS Hermes (1924), and Bearn (1927). During World War II, these ships would become known as fleet carriers.[citation needed]

What caused early aircraft carriers to be made up of conversions of ships that were previously cargo ships, cruisers or battlecruisers?
Output: Washington Naval Treaty of 1922

Problem: Please answer a question about the following article about Group (mathematics):
To understand groups beyond the level of mere symbolic manipulations as above, more structural concepts have to be employed.c["] There is a conceptual principle underlying all of the following notions: to take advantage of the structure offered by groups (which sets, being "structureless", do not have), constructions related to groups have to be compatible with the group operation. This compatibility manifests itself in the following notions in various ways. For example, groups can be related to each other via functions called group homomorphisms. By the mentioned principle, they are required to respect the group structures in a precise sense. The structure of groups can also be understood by breaking them into pieces called subgroups and quotient groups. The principle of "preserving structures"a recurring topic in mathematics throughoutis an instance of working in a category, in this case the category of groups.
What has to be compatible with the group operation?
A:
constructions related to groups