Question: 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.
Try to answer this question if possible: What can be used to classify small groups even though there is no classification of all finite groups?
Answer: Computer algebra systems
Question: YouTube does not usually offer a download link for its videos, and intends for them to be viewed through its website interface. A small number of videos, such as the weekly addresses by President Barack Obama, can be downloaded as MP4 files. Numerous third-party web sites, applications and browser plug-ins allow users to download YouTube videos. In February 2009, YouTube announced a test service, allowing some partners to offer video downloads for free or for a fee paid through Google Checkout. In June 2012, Google sent cease and desist letters threatening legal action against several websites offering online download and conversion of YouTube videos. In response, Zamzar removed the ability to download YouTube videos from its site. The default settings when uploading a video to YouTube will retain a copyright on the video for the uploader, but since July 2012 it has been possible to select a Creative Commons license as the default, allowing other users to reuse and remix the material if it is free of copyright.
Try to answer this question if possible: Whose weekly addresses could be downloaded as videos?
Answer: unanswerable
Question: Popular opinion remained firmly behind the celebration of Mary's conception. In 1439, the Council of Basel, which is not reckoned an ecumenical council, stated that belief in the immaculate conception of Mary is in accord with the Catholic faith. By the end of the 15th century the belief was widely professed and taught in many theological faculties, but such was the influence of the Dominicans, and the weight of the arguments of Thomas Aquinas (who had been canonised in 1323 and declared "Doctor Angelicus" of the Church in 1567) that the Council of Trent (154563)which might have been expected to affirm the doctrineinstead declined to take a position.
Try to answer this question if possible: In what year was the famous friar named Tom given a position as a saint of the Holy Roman Catholic Church ?
Answer: Thomas Aquinas (who had been canonised in 1323
Question: Another study examining the health and nutrition literacy status of residents of the lower Mississippi Delta found that 52 percent of participants had a high likelihood of limited literacy skills. While a precise comparison between the NAAL and Delta studies is difficult, primarily because of methodological differences, Zoellner et al. suggest that health literacy rates in the Mississippi Delta region are different from the U.S. general population and that they help establish the scope of the problem of health literacy among adults in the Delta region. For example, only 12 percent of study participants identified the My Pyramid graphic two years after it had been launched by the USDA. The study also found significant relationships between nutrition literacy and income level and nutrition literacy and educational attainment further delineating priorities for the region.
Try to answer this question if possible: What primary difference was there between the NAAL and Delta study that made comparisons difficult?
Answer:
methodological differences