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Mach argued that, in effect, the water experiment in an otherwise empty universe would remain flat. But if another object were introduced into this universe, perhaps a distant star, there would now be something relative to which the bucket could be seen as rotating. The water inside the bucket could possibly have a slight curve. To account for the curve that we observe, an increase in the number of objects in the universe also increases the curvature in the water. Mach argued that the momentum of an object, whether angular or linear, exists as a result of the sum of the effects of other objects in the universe (Mach's Principle).

Mach argued that the momentum of an object exists as a result of the sum of the effects of what?
Answer: effects of other objects in the universe

Problem: The cardinal protodeacon, the senior cardinal deacon in order of appointment to the College of Cardinals, has the privilege of announcing a new pope's election and name (once he has been ordained to the Episcopate) from the central balcony at the Basilica of Saint Peter in Vatican City State. In the past, during papal coronations, the proto-deacon also had the honor of bestowing the pallium on the new pope and crowning him with the papal tiara. However, in 1978 Pope John Paul I chose not to be crowned and opted for a simpler papal inauguration ceremony, and his three successors followed that example. As a result, the Cardinal protodeacon's privilege of crowning a new pope has effectively ceased although it could be revived if a future Pope were to restore a coronation ceremony. However, the proto-deacon still has the privilege of bestowing the pallium on a new pope at his papal inauguration. "Acting in the place of the Roman Pontiff, he also confers the pallium upon metropolitan bishops or gives the pallium to their proxies." The current cardinal proto-deacon is Renato Raffaele Martino.
Who announces the election of a new pope?
The answer is the following: The cardinal protodeacon

The last major building work took place during the reign of King George V when, in 1913, Sir Aston Webb redesigned Blore's 1850 East Front to resemble in part Giacomo Leoni's Lyme Park in Cheshire. This new, refaced principal facade (of Portland stone) was designed to be the backdrop to the Victoria Memorial, a large memorial statue of Queen Victoria, placed outside the main gates. George V, who had succeeded Edward VII in 1910, had a more serious personality than his father; greater emphasis was now placed on official entertaining and royal duties than on lavish parties. He arranged a series of command performances featuring jazz musicians such as the Original Dixieland Jazz Band (1919) the first jazz performance for a head of state, Sidney Bechet, and Louis Armstrong (1932), which earned the palace a nomination in 2009 for a (Kind of) Blue Plaque by the Brecon Jazz Festival as one of the venues making the greatest contribution to jazz music in the United Kingdom. George V's wife Queen Mary was a connoisseur of the arts, and took a keen interest in the Royal Collection of furniture and art, both restoring and adding to it. Queen Mary also had many new fixtures and fittings installed, such as the pair of marble Empire-style chimneypieces by Benjamin Vulliamy, dating from 1810, which the Queen had installed in the ground floor Bow Room, the huge low room at the centre of the garden facade. Queen Mary was also responsible for the decoration of the Blue Drawing Room. This room, 69 feet (21 metres) long, previously known as the South Drawing Room, has a ceiling designed specially by Nash, coffered with huge gilt console brackets.
What collection did Queen Mary take an interest in by adding and restoring pieces?
Royal Collection of furniture and art

Input: YouTube
Much of YouTube's revenue goes to the copyright holders of the videos. In 2010 it was reported that nearly a third of the videos with advertisements were uploaded without permission of the copyright holders. YouTube gives an option for copyright holders to locate and remove their videos or to have them continue running for revenue. In May 2013, Nintendo began enforcing its copyright ownership and claiming the advertising revenue from video creators who posted screenshots of its games. In February 2015, Nintendo agreed to share the revenue with the video creators.

What option besides removing the video does youtube grant copyright holders?
Output: have them continue running for revenue

Input: Article: In addition, there are a number of dialect characters () that are not used in formal written Chinese but represent colloquial terms in non-Mandarin varieties of Chinese. One such variety is Written Cantonese, in widespread use in Hong Kong even for certain formal documents, due to the former British colonial administration's recognition of Cantonese for use for official purposes. In Taiwan, there is also an informal body of characters used to represent Hokkien Chinese. Many varieties have specific characters for words exclusive to them. For example, the vernacular character , pronounced cii11 in Hakka, means "to kill". Furthermore, Shanghainese and Sichuanese also have their own series of written text, but these are not widely used in actual texts, Mandarin being the preference for all mainland regions.

Now answer this question: What are not used in formal written Chinese?

Output: dialect characters

Problem: Hospitals in Liberia include the John F. Kennedy Medical Center in Monrovia and several others. Life expectancy in Liberia is estimated to be 57.4 years in 2012. With a fertility rate of 5.9 births per woman, the maternal mortality rate stood at 990 per 100,000 births in 2010. A number of highly communicable diseases are widespread, including tuberculosis, diarrheal diseases and malaria. In 2007, the HIV infection rates stood at 2% of the population aged 1549 whereas the incidence of tuberculosis was 420 per 100,000 people in 2008. Approximately 58.2% 66% of women are estimated to have undergone female genital mutilation.
What were the HIV infection rates in 2007?
The answer is the following:
2%