Input: Article: The continuous torque density of conventional electric machines is determined by the size of the air-gap area and the back-iron depth, which are determined by the power rating of the armature winding set, the speed of the machine, and the achievable air-gap flux density before core saturation. Despite the high coercivity of neodymium or samarium-cobalt PMs, continuous torque density is virtually the same amongst electric machines with optimally designed armature winding sets. Continuous torque density relates to method of cooling and permissible period of operation before destruction by overheating of windings or PM damage.

Now answer this question: What three elements determine the size of the air-gap area and back iron depth?

Output: power rating of the armature winding set, the speed of the machine, and the achievable air-gap flux density before core saturation

Input: Article: During the 1981 Trooping the Colour ceremony and only six weeks before the wedding of Charles, Prince of Wales, and Lady Diana Spencer, six shots were fired at the Queen from close range as she rode down The Mall on her horse, Burmese. Police later discovered that the shots were blanks. The 17-year-old assailant, Marcus Sarjeant, was sentenced to five years in prison and released after three. The Queen's composure and skill in controlling her mount were widely praised. From April to September 1982, the Queen remained anxious but proud of her son, Prince Andrew, who was serving with British forces during the Falklands War. On 9 July, the Queen awoke in her bedroom at Buckingham Palace to find an intruder, Michael Fagan, in the room with her. Remaining calm and through two calls to the Palace police switchboard, she spoke to Fagan while he sat at the foot of her bed until assistance arrived seven minutes later. Though she hosted US President Ronald Reagan at Windsor Castle in 1982 and visited his Californian ranch in 1983, she was angered when his administration ordered the invasion of Grenada, one of her Caribbean realms, without informing her.

Now answer this question: During what ceremony were shots fired at the Queen?

Output: Trooping the Colour

Input: Article: P. Christiaan Klieger, an anthropologist and scholar of the California Academy of Sciences in San Francisco, writes that the vice royalty of the Sakya regime installed by the Mongols established a patron and priest relationship between Tibetans and Mongol converts to Tibetan Buddhism. According to him, the Tibetan lamas and Mongol khans upheld a "mutual role of religious prelate and secular patron," respectively. He adds that "Although agreements were made between Tibetan leaders and Mongol khans, Ming and Qing emperors, it was the Republic of China and its Communist successors that assumed the former imperial tributaries and subject states as integral parts of the Chinese nation-state."

Now answer this question: Who does P. Christiaan Klieger claim to have had a mutual role of religious prelate?

Output:
the Tibetan lamas and Mongol khans