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2. Applied mathematics - Wikipedia

   en.wikipedia.org/wiki/Applied_mathematics

   Efficient solutions to the vehicle routing problem require tools from combinatorial optimization and integer programming.. Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry.

3. Mathematical optimization - Wikipedia

   en.wikipedia.org/wiki/Mathematical_optimization

   The satisfiability problem, also called the feasibility problem, is just the problem of finding any feasible solution at all without regard to objective value. This can be regarded as the special case of mathematical optimization where the objective value is the same for every solution, and thus any solution is optimal.

4. Millennium Prize Problems - Wikipedia

   en.wikipedia.org/wiki/Millennium_Prize_Problems

   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 mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP ...

5. Combinatorial optimization - Wikipedia

   en.wikipedia.org/wiki/Combinatorial_optimization

   A minimum spanning tree of a weighted planar graph.Finding a minimum spanning tree is a common problem involving combinatorial optimization. Combinatorial optimization is a subfield of mathematical optimization that consists of finding an optimal object from a finite set of objects, [1] where the set of feasible solutions is discrete or can be reduced to a discrete set.

6. Mathematical problem - Wikipedia

   en.wikipedia.org/wiki/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.

7. Mathematical physics - Wikipedia

   en.wikipedia.org/wiki/Mathematical_physics

   Mathematical physics refers to the development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories". [1]