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This is generally considered one of the most important open questions in mathematics and theoretical computer science as it has far-reaching consequences to other problems in mathematics, to biology, [14] philosophy [15] and to cryptography (see P versus NP problem proof consequences).
Jeopardy! has a negative money score – contestants play for an amount of money and any incorrect answer that costs them more than what they have now can result in a negative score. In The Price Is Right's pricing game Buy or Sell, if an amount of money is lost that is more than the amount currently in the bank, it incurs a negative score.
[53] [54] A one-to-one tutoring paradigm designed by Lynn Fuchs and colleagues which teaches concepts in arithmetic, number concepts, counting, and number families using games, flash cards, and manipulables has proven successful in children with generalized math learning difficulties, but intervention has yet to be tested specifically on ...
For the treatment centers, the revolving door may be financially lucrative. “It’s a service that rewards the failure of the service,” Johnson said. “If you are going to a program, you don’t succeed and you pay X-thousand dollars. When you fail, you go back — another X-thousand dollars. Because it’s your fault.”
Residential treatment centers for children and adolescents treat multiple conditions from drug and alcohol addictions to emotional and physical disorders as well as mental illnesses. Various studies of youth in residential treatment centers have found that many have a history of family-related issues, often including physical or sexual abuse.
Another approach for defining mathematics is to use its methods. For example, an area of study is often qualified as mathematics as soon as one can prove theorems—assertions whose validity relies on a proof, that is, a purely-logical deduction. [d] [176] [failed verification]
Blue skies research (also called blue sky science) is scientific research in domains where "real-world" applications are not immediately apparent.It has been defined as "research without a clear goal" [1] and "curiosity-driven science".
A function (which in mathematics is generally defined as mapping the elements of one set A to elements of another B) is called "A onto B" (instead of "A to B" or "A into B") only if it is surjective; it may even be said that "f is onto" (i. e. surjective). Not translatable (without circumlocutions) to some languages other than English.