Problem: Please answer a question about the following article about Group (mathematics):
Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be shown to be abelian, a statement which does not generalize to order p3, as the non-abelian group D4 of order 8 = 23 above shows. Computer algebra systems can be used to list small groups, but there is no classification of all finite groups.q["] An intermediate step is the classification of finite simple groups.r["] A nontrivial group is called simple if its only normal subgroups are the trivial group and the group itself.s["] The JordanHolder theorem exhibits finite simple groups as the building blocks for all finite groups. Listing all finite simple groups was a major achievement in contemporary group theory. 1998 Fields Medal winner Richard Borcherds succeeded in proving the monstrous moonshine conjectures, a surprising and deep relation between the largest finite simple sporadic groupthe "monster group"and certain modular functions, a piece of classical complex analysis, and string theory, a theory supposed to unify the description of many physical phenomena.
What can be used to classify small groups even though there is no classification of all finite groups?
A: Computer algebra systems
Problem: Please answer a question about the following article about On the Origin of Species:
Darwin's barnacle studies convinced him that variation arose constantly and not just in response to changed circumstances. In 1854, he completed the last part of his Beagle-related writing and began working full-time on evolution. His thinking changed from the view that species formed in isolated populations only, as on islands, to an emphasis on speciation without isolation; that is, he saw increasing specialisation within large stable populations as continuously exploiting new ecological niches. He conducted empirical research focusing on difficulties with his theory. He studied the developmental and anatomical differences between different breeds of many domestic animals, became actively involved in fancy pigeon breeding, and experimented (with the help of his son Francis) on ways that plant seeds and animals might disperse across oceans to colonise distant islands. By 1856, his theory was much more sophisticated, with a mass of supporting evidence.
In what year did Darwin begin to work on his evolution theory full-time?
A: 1854
Problem: Please answer a question about the following article about The Times:
This makes it the most varied newspaper in terms of political support in British history. Some columnists in The Times are connected to the Conservative Party such as Daniel Finkelstein, Tim Montgomerie, Matthew Parris and Matt Ridley, but there are also columnists connected to the Labour Party such as David Aaronovitch, Phil Collins, Oliver Kamm and Jenni Russell.
What is the name of the newspaper with the most varied political support in British history?
A: The Times
Problem: Please answer a question about the following article about Mary (mother of Jesus):
Nontrinitarians, such as Unitarians, Christadelphians and Jehovah's Witnesses also acknowledge Mary as the biological mother of Jesus Christ, but do not recognise Marian titles such as "Mother of God" as these groups generally reject Christ's divinity. Since Nontrinitarian churches are typically also mortalist, the issue of praying to Mary, whom they would consider "asleep", awaiting resurrection, does not arise. Emanuel Swedenborg says God as he is in himself could not directly approach evil spirits to redeem those spirits without destroying them (Exodus 33:20, John 1:18), so God impregnated Mary, who gave Jesus Christ access to the evil heredity of the human race, which he could approach, redeem and save.
Unittarians, Christadelphians and Jehovah's Witnesses are examples of what kind of church?
A:
Nontrinitarians