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 method formally adds inverses to elements to any monoid?
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A: the Grothendieck group

Problem: House minority leaders also hold joint news conferences and consult with their counterparts in the Senateand with the president if their party controls the White House. The overall objectives are to develop a coordinated communications strategy, to share ideas and information, and to present a united front on issues. Minority leaders also make floor speeches and close debate on major issues before the House; they deliver addresses in diverse forums across the country; and they write books or articles that highlight minority party goals and achievements. They must also be prepared "to debate on the floor, ad lib, no notes, on a moment's notice," remarked Minority Leader Michel. In brief, minority leaders are key strategists in developing and promoting the party's agenda and in outlining ways to neutralize the opposition's arguments and proposals.
What kind of front does the White House need to show on issues?
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Answer: unanswerable

Q: What is a question about this article? If the question is unanswerable, say "unanswerable".
While historically, symbiosis has received less attention than other interactions such as predation or competition, it is increasingly recognized as an important selective force behind evolution, with many species having a long history of interdependent co-evolution. In fact, the evolution of all eukaryotes (plants, animals, fungi, and protists) is believed under the endosymbiotic theory to have resulted from a symbiosis between various sorts of bacteria. This theory is supported by certain organelles dividing independently of the cell, and the observation that some organelles seem to have their own nucleic acid.
What always depends on the cell for the process of division?
A: unanswerable

Context and question: The Quran and Muhammad talked about racial equality and justice as in The Farewell Sermon. Tribal and nationalistic differences were discouraged. But after Muhammad's passing, the old tribal differences between the Arabs started to resurface. Following the RomanPersian Wars and the ByzantineSassanid Wars, deep rooted differences between Iraq, formally under the Persian Sassanid Empire, and Syria, formally under the Byzantine Empire, also existed. Each wanted the capital of the newly established Islamic State to be in their area. Previously, the second caliph Umar was very firm on the governors and his spies kept an eye on them. If he felt that a governor or a commander was becoming attracted to wealth, he had him removed from his position.
What book never mentioned racial equality?
Answer: unanswerable

Question: In a grounded-emitter transistor circuit, such as the light-switch circuit shown, as the base voltage rises, the emitter and collector currents rise exponentially. The collector voltage drops because of reduced resistance from collector to emitter. If the voltage difference between the collector and emitter were zero (or near zero), the collector current would be limited only by the load resistance (light bulb) and the supply voltage. This is called saturation because current is flowing from collector to emitter freely. When saturated, the switch is said to be on.
Is there an answer to this question: What would happen if the voltage difference from collector and emitter were zero?

Answer: the collector current would be limited only by the load resistance (light bulb) and the supply voltage

Q: What is a question about this article? If the question is unanswerable, say "unanswerable".
Experts point out that the earthquake hit an area that has been largely neglected and untouched by China's economic rise. Health care is poor in inland areas such as Sichuan, highlighting the widening gap between prosperous urban dwellers and struggling rural people. Vice Minister of Health Gao Qiang told reporters in Beijing that the "public health care system in China is insufficient." The Vice Minister of Health also suggested that the government would pick up the costs of care to earthquake victims, many of whom have little or no insurance: "The government should be responsible for providing medical treatment to them," he said.
How economically forward has this area been?
A:
neglected and untouched