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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 ...
Hilbert's Entscheidungsproblem. Type inference and type checking for the second-order lambda calculus (or equivalent). [ 1] Determining whether a first-order sentence in the logic of graphs can be realized by a finite undirected graph. [ 2] Trakhtenbrot's theorem - Finite satisfiability is undecidable.
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 ...
e. Mathematics education in the United States varies considerably from one state to the next, and even within a single state. However, with the adoption of the Common Core Standards in most states and the District of Columbia beginning in 2010, mathematics content across the country has moved into closer agreement for each grade level.
Mathematical problem. A mathematical problem is a problem that can be represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real-world problem, such as computing the orbits of the planets in the solar system, or a problem of a more abstract nature, such as Hilbert's problems.
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Utah State University (USU or Utah State) is a public land-grant research university with its main campus in Logan, Utah.Founded in 1888 under the Morrill Land-Grant Acts as Utah's federal land-grant institution, Utah State is one of two flagship universities for the state of Utah; it is classified among "Carnegie R1: Doctoral Universities – Very High Research Activity".
Problems 1, 2, 5, 6, [g] 9, 11, 12, 15, 21, and 22 have solutions that have partial acceptance, but there exists some controversy as to whether they resolve the problems. That leaves 8 (the Riemann hypothesis), 13 and 16 [h] unresolved, and 4 and 23 as too vague to ever be described as solved. The withdrawn 24 would also be in this class.