Input: Read this: Groups are also applied in many other mathematical areas. Mathematical objects are often examined by associating groups to them and studying the properties of the corresponding groups. For example, Henri Poincare founded what is now called algebraic topology by introducing the fundamental group. By means of this connection, topological properties such as proximity and continuity translate into properties of groups.i["] For example, elements of the fundamental group are represented by loops. The second image at the right shows some loops in a plane minus a point. The blue loop is considered null-homotopic (and thus irrelevant), because it can be continuously shrunk to a point. The presence of the hole prevents the orange loop from being shrunk to a point. The fundamental group of the plane with a point deleted turns out to be infinite cyclic, generated by the orange loop (or any other loop winding once around the hole). This way, the fundamental group detects the hole.
Question: Who first applied groups to other mathematical areas?

Output: unanswerable

Input: Read this: Eventually, when it was more common for electric recordings to be played back electrically in the 1930s and 1940s, the overall tone was much like listening to a radio of the era. Magnetic pickups became more common and were better designed as time went on, making it possible to improve the damping of spurious resonances. Crystal pickups were also introduced as lower cost alternatives. The dynamic or moving coil microphone was introduced around 1930 and the velocity or ribbon microphone in 1932. Both of these high quality microphones became widespread in motion picture, radio, recording, and public address applications.
Question: What was used to dampen resonances in recordings?

Output: Magnetic pickups

Input: Read this: Alban Butler, writes on the subject: "Five months after this great Council, Nicae, St Alexander lying on his death-bed, recommended to his clergy and people the choice of Athanasius for his successor, thrice repeating his name. In consequence of his recommendation, the bishops of all Egypt assembled at Alexandria, and finding the people and clergy unanimous in their choice of Athanasius for patriarch, they confirmed the election about the middle of year 326. He seems, then, to have been about thirty years of age. "
Question: How did the people know that Alexander had chosen Athanasius as his predecesor?

Output: unanswerable

Input: Read this: All Freemasons begin their journey in the "craft" by being progressively initiated, passed and raised into the three degrees of Craft, or Blue Lodge Masonry. During these three rituals, the candidate is progressively taught the meanings of the Lodge symbols, and entrusted with grips, signs and words to signify to other Masons that he has been so initiated. The initiations are part allegory and part lecture, and revolve around the construction of the Temple of Solomon, and the artistry and death of his chief architect, Hiram Abiff. The degrees are those of Entered apprentice, Fellowcraft and Master Mason. While many different versions of these rituals exist, with at least two different lodge layouts and versions of the Hiram myth, each version is recognisable to any Freemason from any jurisdiction.
Question: The initiations are part allegory and part what?

Output:
lecture