QUES: The first Armenian churches were built between the 4th and 7th century, beginning when Armenia converted to Christianity, and ending with the Arab invasion of Armenia. The early churches were mostly simple basilicas, but some with side apses. By the fifth century the typical cupola cone in the center had become widely used. By the seventh century, centrally planned churches had been built and a more complicated niched buttress and radiating Hrip'sime style had formed. By the time of the Arab invasion, most of what we now know as classical Armenian architecture had formed.
What did some churches sometimes have in the fifth century?

ANS: unanswerable

QUES: Data compression can be viewed as a special case of data differencing: Data differencing consists of producing a difference given a source and a target, with patching producing a target given a source and a difference, while data compression consists of producing a compressed file given a target, and decompression consists of producing a target given only a compressed file. Thus, one can consider data compression as data differencing with empty source data, the compressed file corresponding to a "difference from nothing." This is the same as considering absolute entropy (corresponding to data compression) as a special case of relative entropy (corresponding to data differencing) with no initial data.
What can be looked at as a special case of relative entropy?

ANS: unanswerable

QUES: The transition from independence to a relatively minor part of a larger union was not easily accepted. To quell uprisings Charles V was struggling to exert his power over the citizens of the city, who had struggled to gain a certain level of independence from the bishops and were not willing to cede this to their new lord. The heavily fortified castle Vredenburg was built to house a large garrison whose main task was to maintain control over the city. The castle would last less than 50 years before it was demolished in an uprising in the early stages of the Dutch Revolt.
Who tried to exert power over the bishop?

ANS: unanswerable

QUES: Finite symmetry groups such as the Mathieu groups are used in coding theory, which is in turn applied in error correction of transmitted data, and in CD players. Another application is differential Galois theory, which characterizes functions having antiderivatives of a prescribed form, giving group-theoretic criteria for when solutions of certain differential equations are well-behaved.u["] Geometric properties that remain stable under group actions are investigated in (geometric) invariant theory.
What is used for error correction of transferred data?

ANS:
coding theory