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2. Archimedes's cattle problem - Wikipedia

   en.wikipedia.org/wiki/Archimedes's_cattle_problem

   The second part of the problem states that + is a square number, and + is a triangular number. The general solution to this part of the problem was first found by A. Amthor [ 11 ] in 1880. The following version of it was described by H. W. Lenstra , [ 5 ] based on Pell's equation : the solution given above for the first part of the problem ...

3. Hilbert's problems - Wikipedia

   en.wikipedia.org/wiki/Hilbert's_problems

   Some of them, like the 3rd problem, which was the first to be solved, or the 8th problem (the Riemann hypothesis), which still remains unresolved, were presented precisely enough to enable a clear affirmative or negative answer. For other problems, such as the 5th, experts have traditionally agreed on a single interpretation, and a solution to ...

4. Hilbert's second problem - Wikipedia

   en.wikipedia.org/wiki/Hilbert's_second_problem

   In mathematics, Hilbert's second problem was posed by David Hilbert in 1900 as one of his 23 problems. It asks for a proof that arithmetic is consistent – free of any internal contradictions. Hilbert stated that the axioms he considered for arithmetic were the ones given in Hilbert (1900) , which include a second order completeness axiom.

5. Microsoft Math Solver - Wikipedia

   en.wikipedia.org/wiki/Microsoft_Math_Solver

   Microsoft Math contains features that are designed to assist in solving mathematics, science, and tech-related problems, as well as to educate the user. The application features such tools as a graphing calculator and a unit converter. It also includes a triangle solver and an equation solver that provides step-by-step solutions to each problem.

6. Goat grazing problem - Wikipedia

   en.wikipedia.org/wiki/Goat_grazing_problem

   The answer to the problem as proposed was given in the 1749 issue of the magazine by a Mr. Heath, and stated as 76,257.86 sq.yds. which was arrived at partly by "trial and a table of logarithms". The answer is not so accurate as the number of digits of precision would suggest. No analytical solution was provided.

7. Problem solving - Wikipedia

   en.wikipedia.org/wiki/Problem_solving

   Well-defined problems have specific end goals and clearly expected solutions, while ill-defined problems do not. Well-defined problems allow for more initial planning than ill-defined problems. [2] Solving problems sometimes involves dealing with pragmatics (the way that context contributes to meaning) and semantics (the interpretation of the ...