Problem: Group (mathematics):

In abstract algebra, more general structures are defined by relaxing some of the axioms defining a group. For example, if the requirement that every element has an inverse is eliminated, the resulting algebraic structure is called a monoid. The natural numbers N (including 0) under addition form a monoid, as do the nonzero integers under multiplication (Z {0}, ), see above. There is a general method to formally add inverses to elements to any (abelian) monoid, much the same way as (Q {0}, ) is derived from (Z {0}, ), known as the Grothendieck group. Groupoids are similar to groups except that the composition a b need not be defined for all a and b. They arise in the study of more complicated forms of symmetry, often in topological and analytical structures, such as the fundamental groupoid or stacks. Finally, it is possible to generalize any of these concepts by replacing the binary operation with an arbitrary n-ary one (i.e. an operation taking n arguments). With the proper generalization of the group axioms this gives rise to an n-ary group. The table gives a list of several structures generalizing groups.

What needs to be defined in Groupoids for a and b?
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A: unanswerable

Problem: Energy:

Thermodynamics divides energy transformation into two kinds: reversible processes and irreversible processes. An irreversible process is one in which energy is dissipated (spread) into empty energy states available in a volume, from which it cannot be recovered into more concentrated forms (fewer quantum states), without degradation of even more energy. A reversible process is one in which this sort of dissipation does not happen. For example, conversion of energy from one type of potential field to another, is reversible, as in the pendulum system described above. In processes where heat is generated, quantum states of lower energy, present as possible excitations in fields between atoms, act as a reservoir for part of the energy, from which it cannot be recovered, in order to be converted with 100% efficiency into other forms of energy. In this case, the energy must partly stay as heat, and cannot be completely recovered as usable energy, except at the price of an increase in some other kind of heat-like increase in disorder in quantum states, in the universe (such as an expansion of matter, or a randomisation in a crystal).

What doesn't divides energy transformation into two kinds reversible processes and irreversible processes?
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A: unanswerable

Problem: Brigham Young University:

Brigham Young University (often referred to as BYU or, colloquially, The Y) is a private research university located in Provo, Utah, United States. It is owned and operated by The Church of Jesus Christ of Latter-day Saints (LDS Church), and, excluding online students, is the largest of any religious university and the third largest private university in the United States, with 29,672 on-campus students. Approximately 99 percent of the students are members of the LDS Church, and one-third of its US students are from Utah.

What church is abbreviated LSD?
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A: unanswerable

Problem: Washington University in St. Louis:

Washington University's sports teams are called the Bears. They are members of the National Collegiate Athletic Association and participate in the University Athletic Association at the Division III level. The Bears have won 19 NCAA Division III Championships one in women's cross country (2011), one in men's tennis (2008), two in men's basketball (2008, 2009), five in women's basketball (19982001, 2010), and ten in women's volleyball (1989, 19911996, 2003, 2007, 2009) and 144 UAA titles in 15 different sports. The Athletic Department is headed by John Schael who has served as director of athletics since 1978. The 2000 Division III Central Region winner of the National Association of Collegiate Directors of Athletics/Continental Airlines Athletics Director of the Year award, Schael has helped orchestrate the Bears athletics transformation into one of the top departments in Division III.

What sport did John Schael play when he was in college?
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A:
unanswerable