Question: These symmetries are represented by functions. Each of these functions sends a point in the square to the corresponding point under the symmetry. For example, r1 sends a point to its rotation 90° clockwise around the square's center, and fh sends a point to its reflection across the square's vertical middle line. Composing two of these symmetry functions gives another symmetry function. These symmetries determine a group called the dihedral group of degree 4 and denoted D4. The underlying set of the group is the above set of symmetry functions, and the group operation is function composition. Two symmetries are combined by composing them as functions, that is, applying the first one to the square, and the second one to the result of the first application. The result of performing first a and then b is written symbolically from right to left as
Is there an answer to this question: What sends a point in the square to the relating point under the symmetry? 

Answer: functions


Question: The Late Middle Ages was marked by difficulties and calamities including famine, plague, and war, which significantly diminished the population of Europe; between 1347 and 1350, the Black Death killed about a third of Europeans. Controversy, heresy, and schism within the Church paralleled the interstate conflict, civil strife, and peasant revolts that occurred in the kingdoms. Cultural and technological developments transformed European society, concluding the Late Middle Ages and beginning the early modern period.
Is there an answer to this question: What portion of the European population died in the Black Death?

Answer: a third


Question: Another view, advanced by Richard Dawkins, is that the existence of God is an empirical question, on the grounds that "a universe with a god would be a completely different kind of universe from one without, and it would be a scientific difference." Carl Sagan argued that the doctrine of a Creator of the Universe was difficult to prove or disprove and that the only conceivable scientific discovery that could disprove the existence of a Creator would be the discovery that the universe is infinitely old.
Is there an answer to this question: What is Richard Dawkins belief about the existence of God?

Answer: "a universe with a god would be a completely different kind of universe from one without, and it would be a scientific difference."


Question: According to tradition, the Umayyad family (also known as the Banu Abd-Shams) and Muhammad both descended from a common ancestor, Abd Manaf ibn Qusai, and they originally came from the city of Mecca. Muhammad descended from Abd Manāf via his son Hashim, while the Umayyads descended from Abd Manaf via a different son, Abd-Shams, whose son was Umayya. The two families are therefore considered to be different clans (those of Hashim and of Umayya, respectively) of the same tribe (that of the Quraish). However Muslim Shia historians suspect that Umayya was an adopted son of Abd Shams so he was not a blood relative of Abd Manaf ibn Qusai. Umayya was later discarded from the noble family. Sunni historians disagree with this and view Shia claims as nothing more than outright polemics due to their hostility to the Umayyad family in general. They point to the fact that the grand sons of Uthman, Zaid bin amr bin uthman bin affan and Abdullah bin Amr bin Uthman got married to the Sukaina and Fatima the daughters of Hussein son of Ali to show closeness of Banu hashem and Bani Ummayah.
Is there an answer to this question: From what city did the Umayyads originate?

Answer:
Mecca