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If the solution to a problem is easy to check for correctness, must the problem be easy to solve? (more unsolved problems in computer science) Millennium Prize Problems Birch and Swinnerton-Dyer conjecture Hodge conjecture Navier–Stokes existence and smoothness P versus NP problem Poincaré conjecture (solved) Riemann hypothesis Yang–Mills existence and mass gap The P versus NP problem is ...
Computational problem. In theoretical computer science, a computational problem is a problem that may be solved by an algorithm. For example, the problem of factoring. "Given a positive integer n, find a nontrivial prime factor of n ." is a computational problem. A computational problem can be viewed as a set of instances or cases together with ...
Travelling Salesman, by director Timothy Lanzone, is the story of four mathematicians hired by the U.S. government to solve the most elusive problem in computer-science history: P vs. NP. Solutions to the problem are used by mathematician Bob Bosche in a subgenre called TSP art. See also. Canadian traveller problem; Exact algorithm
The scientific method is a systematic way of conducting experiments or studies so that you can explore the world around you and answer questions using reason and evidence. It's a step-by-step ...
Mathematical description. The mathematical statement of the three-body problem can be given in terms of the Newtonian equations of motion for vector positions of three gravitationally interacting bodies with masses : where is the gravitational constant. [3] [4] This is a set of nine second-order differential equations.
The scientific method is an empirical method for acquiring knowledge that has characterized the development of science since at least the 17th century. (For notable practitioners in previous centuries, see history of scientific method .) The scientific method involves careful observation coupled with rigorous scepticism, because cognitive ...
In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem. A sufficiently efficient reduction from one problem to another may be used to show that the second problem is at least as difficult as the first. Intuitively, problem A is reducible to problem B, if an ...
List of unsolved problems in physics. The following is a list of notable unsolved problems grouped into broad areas of physics. [1] Some of the major unsolved problems in physics are theoretical, meaning that existing theories seem incapable of explaining a certain observed phenomenon or experimental result. The others are experimental, meaning ...
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