Input: Article: The sky is usually clear above the desert and the sunshine duration is extremely high everywhere in the Sahara. Most of the desert enjoys more than 3,600 h of bright sunshine annually or over 82% of the time and a wide area in the eastern part experiences in excess of 4,000 h of bright sunshine a year or over 91% of the time, and the highest values are very close to the theoretical maximum value. A value of 4,300 h or 98% of the time would be recorded in Upper Egypt (Aswan, Luxor) and in the Nubian Desert (Wadi Halfa). The annual average direct solar irradiation is around 2,800 kWh/(m2 year) in the Great Desert. The Sahara has a huge potential for solar energy production. The constantly high position of the sun, the extremely low relative humidity, the lack of vegetation and rainfall make the Great Desert the hottest continuously large area worldwide and certainly the hottest place on Earth during summertime in some spots. The average high temperature exceeds 38 °C (100.4 °F) - 40 °C (104 °F) during the hottest month nearly everywhere in the desert except at very high mountainous areas. The highest officially recorded average high temperature was 47 °C (116.6 °F) in a remote desert town in the Algerian Desert called Bou Bernous with an elevation of 378 meters above sea level. It's the world's highest recorded average high temperature and only Death Valley, California rivals it. Other hot spots in Algeria such as Adrar, Timimoun, In Salah, Ouallene, Aoulef, Reggane with an elevation between 200 and 400 meters above sea level get slightly lower summer average highs around 46 °C (114.8 °F) during the hottest months of the year. Salah, well known in Algeria for its extreme heat, has an average high temperature of 43.8 °C (110.8 °F), 46.4 °C (115.5 °F), 45.5 (113.9 °F). Furthermore, 41.9 °C (107.4 °F) in June, July, August and September. In fact, there are even hotter spots in the Sahara, but they are located in extremely remote areas, especially in the Azalai, lying in northern Mali. The major part of the desert experiences around 3 – 5 months when the average high strictly exceeds 40 °C (104 °F). The southern central part of the desert experiences up to 6 – 7 months when the average high temperature strictly exceeds 40 °C (104 °F) which shows the constancy and the length of the really hot season in the Sahara. Some examples of this are Bilma, Niger and Faya-Largeau, Chad. The annual average daily temperature exceeds 20 °C (68 °F) everywhere and can approach 30 °C (86 °F) in the hottest regions year-round. However, most of the desert has a value in excess of 25 °C (77 °F). The sand and ground temperatures are even more extreme. During daytime, the sand temperature is extremely high as it can easily reach 80 °C (176 °F) or more. A sand temperature of 83.5 °C (182.3 °F) has been recorded in Port Sudan. Ground temperatures of 72 °C (161.6 °F) have been recorded in the Adrar of Mauritania and a value of 75 °C (167 °F) has been measured in Borkou, northern Chad. Due to lack of cloud cover and very low humidity, the desert usually features high diurnal temperature variations between days and nights. However, it's a myth that the nights are cold after extremely hot days in the Sahara. The average diurnal temperature range is typically between 13 °C (55.4 °F) and 20 °C (68 °F). The lowest values are found along the coastal regions due to high humidity and are often even lower than 10 °C (50 °F), while the highest values are found in inland desert areas where the humidity is the lowest, mainly in the southern Sahara. Still, it's true that winter nights can be cold as it can drop to the freezing point and even below, especially in high-elevation areas.

Now answer this question: What is the largest hottest continuously large area   worldwide?

Output: the Great Desert


Article: Von Neumann worked on lattice theory between 1937 and 1939. Von Neumann provided an abstract exploration of dimension in completed complemented modular topological lattices: "Dimension is determined, up to a positive linear transformation, by the following two properties. It is conserved by perspective mappings ("perspectivities") and ordered by inclusion. The deepest part of the proof concerns the equivalence of perspectivity with "projectivity by decomposition"—of which a corollary is the transitivity of perspectivity." Garrett Birkhoff writes: "John von Neumann's brilliant mind blazed over lattice theory like a meteor".

Question: What properties determine dimension in lattice theory?
Ans: conserved by perspective mappings ("perspectivities") and ordered by inclusion


Here is a question about this article: From the caliphate's north-western African bases, a series of raids on coastal areas of the Visigothic Kingdom paved the way to the permanent occupation of most of Iberia by the Umayyads (starting in 711), and on into south-eastern Gaul (last stronghold at Narbonne in 759). Hisham's reign witnessed the end of expansion in the west, following the defeat of the Arab army by the Franks at the Battle of Tours in 732. In 739 a major Berber Revolt broke out in North Africa, which was subdued only with difficulty, but it was followed by the collapse of Umayyad authority in al-Andalus. In India the Arab armies were defeated by the south Indian Chalukya dynasty and by the north Indian Pratiharas Dynasty in the 8th century and the Arabs were driven out of India. In the Caucasus, the confrontation with the Khazars peaked under Hisham: the Arabs established Derbent as a major military base and launched several invasions of the northern Caucasus, but failed to subdue the nomadic Khazars. The conflict was arduous and bloody, and the Arab army even suffered a major defeat at the Battle of Marj Ardabil in 730. Marwan ibn Muhammad, the future Marwan II, finally ended the war in 737 with a massive invasion that is reported to have reached as far as the Volga, but the Khazars remained unsubdued.
What is the answer to this question: Who defeated the Arabs at the Battle of Tours?
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So... Franks


The problem: Answer a question about this article:
Modern police forces make extensive use of radio communications equipment, carried both on the person and installed in vehicles, to co-ordinate their work, share information, and get help quickly. In recent years, vehicle-installed computers have enhanced the ability of police communications, enabling easier dispatching of calls, criminal background checks on persons of interest to be completed in a matter of seconds, and updating officers' daily activity log and other, required reports on a real-time basis. Other common pieces of police equipment include flashlights/torches, whistles, police notebooks and "ticket books" or citations.
How do modern police often communicate?
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The answer: radio


Question: Read this and answer the question

Neither John nor the rebel barons seriously attempted to implement the peace accord. The rebel barons suspected that the proposed baronial council would be unacceptable to John and that he would challenge the legality of the charter; they packed the baronial council with their own hardliners and refused to demobilise their forces or surrender London as agreed. Despite his promises to the contrary, John appealed to Innocent for help, observing that the charter compromised the pope's rights under the 1213 agreement that had appointed him John's feudal lord. Innocent obliged; he declared the charter "not only shameful and demeaning, but illegal and unjust" and excommunicated the rebel barons. The failure of the agreement led rapidly to the First Barons' War.

The failure of the agreement lead to what?
Answer:
First Barons' War