Experimental mathematics

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Experimental mathematics

Experimental mathematics is a type of mathematical investigation in which computation is used to investigate mathematical structures and identify their fundamental properties and patterns. As in experimental science, experimental mathematics can be used to make mathematical predictions which can then be verified or falsified on the bases of additional computational experiments.Borwein and Bailey (2003, pp. 2-3) use the term "experimental mathematics" to mean the methodology of doing mathematics that includes the use of computation for: 1. Gaining insight and intuition. 2. Discovering new patterns and relationships. 3. Using graphical displays to suggest underlying mathematical principles. 4. Testing and especially falsifying conjectures. 5. Exploring a possible result to see if it is worth formal proof. 6. Suggesting approaches for a formal proof. 7. Replacing lengthy hand derivations with computer-based..

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