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In nuclear fusion research, the term break-even refers to a fusion energy gain factor equal to unity; this is also known as the Lawson criterion. The notion can also be found in more general phenomena, such as percolation. In energy, the break-even point is the point where usable energy gotten from a process equals the input energy.
For example, expressing break-even sales as a percentage of actual sales can help managers understand when to expect to break even (by linking the percent to when in the week or month this percent of sales might occur). The break-even point is a special case of Target Income Sales, where Target Income is 0 (breaking even). This is very ...
If one has to stop skiing after day 10, one's cost is $19 which is 90% more than what one would pay if one had known the number of days one would go skiing in advance. This is the worst case for the break-even algorithm. The break-even algorithm is known to be the best deterministic algorithm for this problem.
For each s, this function gives an infinite sum, which takes some basic calculus to approach for even the simplest values of s. For example, if s=2, then 𝜁(s) is the well-known series 1 + 1/4 ...
This is a list of some of the more commonly known problems that are NP-complete when expressed as decision problems. As there are thousands of such problems known, this list is in no way comprehensive. Many problems of this type can be found in Garey & Johnson (1979).
Prizes are often awarded for the solution to a long-standing problem, and some lists of unsolved problems, such as the Millennium Prize Problems, receive considerable attention. This list is a composite of notable unsolved problems mentioned in previously published lists, including but not limited to lists considered authoritative, and the ...
The question is whether or not, for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly. Since the former describes the class of problems termed NP, while the latter describes P, the question is equivalent to asking whether all problems in NP are ...
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