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2. Word problem (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Word_problem_(mathematics)

   In computational mathematics, a word problem is the problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well. A deep result of computational theory is that answering this question is in many ...

3. Word problem (mathematics education) - Wikipedia

   en.wikipedia.org/wiki/Word_problem_(mathematics...

   Word problem (mathematics education) In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation. As most word problems involve a narrative of some sort, they are ...

4. Hilbert's problems - Wikipedia

   en.wikipedia.org/wiki/Hilbert's_problems

   Unlike the Hilbert problems, where the primary award was the admiration of Hilbert in particular and mathematicians in general, each prize problem includes a million-dollar bounty. As with the Hilbert problems, one of the prize problems (the Poincaré conjecture) was solved relatively soon after the problems were announced.

5. Word problem for groups - Wikipedia

   en.wikipedia.org/wiki/Word_problem_for_groups

   Word problem for groups. In mathematics, especially in the area of abstract algebra known as combinatorial group theory, the word problem for a finitely generated group is the algorithmic problem of deciding whether two words in the generators represent the same element of . The word problem is a well-known example of an undecidable problem .

6. Word problem - Wikipedia

   en.wikipedia.org/wiki/Word_problem

   Word problem (mathematics education), a type of textbook exercise or exam question to have students apply abstract mathematical concepts to real-world situations. Word problem (mathematics), a decision problem for algebraic identities in mathematics and computer science. Word problem for groups, the problem of recognizing the identity element ...

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8. List of unsolved problems in astronomy - Wikipedia

   en.wikipedia.org/wiki/List_of_unsolved_problems...

   List of unsolved problems in astronomy. This article is a list of notable unsolved problems in astronomy. Problems may be theoretical or experimental. Theoretical problems result from inability of current theories to explain observed phenomena or experimental results. Experimental problems result from inability to test or investigate a proposed ...

9. Smale's problems - Wikipedia

   en.wikipedia.org/wiki/Smale's_problems

   Smale's problems are a list of eighteen unsolved problems in mathematics proposed by Steve Smale in 1998 [1] and republished in 1999. [2] Smale composed this list in reply to a request from Vladimir Arnold , then vice-president of the International Mathematical Union , who asked several mathematicians to propose a list of problems for the 21st ...