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1. cie-advances.asme.org › public › ResourcesDefinition Of Experiment In Math - cie-advances.asme.org

   cie-advances.asme.org › public › Resources

   Experimental Mathematics V. I. Arnold ,2015-07-14 One of the traditional ways mathematical ideas and even new areas of mathematics are created is from experiments One of the best known examples is that of the Fermat hypothesis which was

2. carmamaths.org › jon › PreprintsExperimental Mathematics In Action - carmamaths.org

   carmamaths.org › jon › Preprints

   sible examples of modern mathematics where intelligent com-puting plays a significant role and in doing so to highlight some of the key algorithms and to teach some of the key experimental approaches. The course consisted of eight lectures over two days—one for each of the eight main chapters of the book, given in order except that Chapter 3

3. www.ams.org › notices › 200505Experimental Mathematics: Examples, Methods and Implications

   www.ams.org › notices › 200505

   Introduction. Recent years have seen the flowering of “experi-mental” mathematics, namely the utilization of modern computer technology as an active tool in mathematical research. This development is not. David H. Bailey is at the Lawrence Berkeley National Laboratory, Berkeley, CA 94720.

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4. www.experimentalmath.info › books › expmath-probsSample Problems of Experimental Mathematics

   www.experimentalmath.info › books › expmath-probs

   Here is the complete list of the ten sample problems of experimental mathematics, as given in [1], together with answers and references. The introductory material on the

5. users.rowan.edu › ~nguyen › experimentalmathMathematics by Experiment: Exploring Patterns of Integer ...

   users.rowan.edu › ~nguyen › experimentalmath

   Thus, experimental mathematics refers to an approach of studying mathematics where a field can be effectively studied using advanced computing technology such as computer algebra systems. This approach developed and grown so quickly as the present.

6. link.springer.com › referenceworkentry › 10Experimental Mathematics in Mathematical Practice

   link.springer.com › referenceworkentry › 10

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   Nov 4, 2023 · They range from simple examples such as the mutilated check-board to examples of how thought-examples play a role in contemporary mathematics. The latter include how to determine the diameter of a graph using sensory experience and the “zooming out” of Cayley graphs using our imagination.

7. People also ask

   What is “experimental mathematics”?

   • The label “experimental mathematics” is today associated with the recent trend of using computer-based methods in mathematical research.

   Experimental Mathematics in Mathematical Practice

   link.springer.com/referenceworkentry/10.1007/978-3-030-19071-2_121-1

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   What is a mathematical experiment?

   • Mathematicians have since long performed “experiments,” for example, in the form of computations, trying out and rejecting ideas. Tradition, however, prescribes that mathematics is presented in the form of definitions, propositions, and proofs that hides the work that came before.

   Experimental Mathematics in Mathematical Practice

   link.springer.com/referenceworkentry/10.1007/978-3-030-19071-2_121-1

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   Do thought experiments exist in mathematics?

   • Irina Starikova’s “Thought experiments in mathematics: from fiction to facts” consider the particular case of thought-experiments in mathematics. Starikova notes that philosophers have argued that thought experiments cannot exist in mathematics since experiments are a form of a posteriori reasoning whereas mathematics is a priori.

   Experimental Mathematics in Mathematical Practice

   link.springer.com/referenceworkentry/10.1007/978-3-030-19071-2_121-1

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   Are experiments a new phenomenon in mathematics?

   • In addition, the use of experiments in mathematics (in some interpretations of the term) is not a new phenomenon. Mathematicians have since long performed “experiments,” for example, in the form of computations, trying out and rejecting ideas.

   Experimental Mathematics in Mathematical Practice

   link.springer.com/referenceworkentry/10.1007/978-3-030-19071-2_121-1

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   How is experimental mathematics interpreted?

   • “Experimental mathematics” is interpreted in a variety of ways by the contributors to this section. A unifying theme is that the phenomenon is understood in a broad sense. For one thing, experiments are not only done by computational tools – they might include, for example, pencil and paper as well as visualizations.

   Experimental Mathematics in Mathematical Practice

   link.springer.com/referenceworkentry/10.1007/978-3-030-19071-2_121-1

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   What are some examples of thought-experiments in mathematics?

   • The chapter is rich in examples illustrating their varied use of thought-experiments in mathematics. They range from simple examples such as the mutilated check-board to examples of how thought-examples play a role in contemporary mathematics.

   Experimental Mathematics in Mathematical Practice

   link.springer.com/referenceworkentry/10.1007/978-3-030-19071-2_121-1

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8. cs.uwaterloo.ca › ~shallit › ams-rev-borweinMathematics by Experiment and Experimentation in Mathematics

   cs.uwaterloo.ca › ~shallit › ams-rev-borwein

   To illustrate the game, let’s look at two basic tools of experimental mathematics: sequence recog-nition and real number recognition. Sequence recognition comes in handy when we are given a sequence (a(n))n 1 defined by a ≥ summation formula and we want to find a simpler expression for it, perhaps in “closed form”.