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2. 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 ...

3. List of unsolved problems in mathematics - Wikipedia

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

   Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

4. How to Solve It - Wikipedia

   en.wikipedia.org/wiki/How_to_Solve_It

   Four principles. How to Solve It suggests the following steps when solving a mathematical problem : First, you have to understand the problem. [ 2] After understanding, make a plan. [ 3] Carry out the plan. [ 4]

5. Hilbert's problems - Wikipedia

   en.wikipedia.org/wiki/Hilbert's_problems

   In discussing his opinion that every mathematical problem should have a solution, Hilbert allows for the possibility that the solution could be a proof that the original problem is impossible. [ d ] He stated that the point is to know one way or the other what the solution is, and he believed that we always can know this, that in mathematics ...

6. Millennium Prize Problems - Wikipedia

   en.wikipedia.org/wiki/Millennium_Prize_Problems

   e. The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US$ 1 million prize for the first correct solution to each problem. The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved ...

7. Yang–Mills existence and mass gap - Wikipedia

   en.wikipedia.org/wiki/Yang–Mills_existence_and...

   The Yang–Mills existence and mass gap problem is an unsolved problem in mathematical physics and mathematics, and one of the seven Millennium Prize Problems defined by the Clay Mathematics Institute, which has offered a prize of US$1,000,000 for its solution. The problem is phrased as follows: [ 1] Yang–Mills Existence and Mass Gap.

8. Category:Unsolved problems in mathematics - Wikipedia

   en.wikipedia.org/wiki/Category:Unsolved_problems...

   Unsolved problems in mathematics. Wikimedia Commons has media related to Unsolved problems in mathematics. This category is intended for all unsolved problems in mathematics, including conjectures. Conjectures are qualified by having a suggested or proposed hypothesis. There may or may not be conjectures for all unsolved problems.

9. Bellman's lost in a forest problem - Wikipedia

   en.wikipedia.org/wiki/Bellman's_lost_in_a_forest...

   A proven solution is only known for a few shapes or classes of shape, such as a square and a circle. Others, such as an equilateral triangle, remain unknown. A general solution would be in the form of a geometric algorithm which takes the shape of the forest as input and returns the optimal escape path as the output. References