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   What is experimental mathematics?

   • Experimental mathematics is an approach to mathematics in which computation is used to investigate mathematical objects and identify properties and patterns.

   Experimental mathematics - Wikipedia

   en.wikipedia.org/wiki/Experimental_mathematics

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   What are the objectives of Experimental Mathematics?

   • The objectives of experimental mathematics are "to generate understanding and insight; to generate and confirm or confront conjectures; and generally to make mathematics more tangible, lively and fun for both the professional researcher and the novice". The uses of experimental mathematics have been defined as follows:

   Experimental mathematics - Wikipedia

   en.wikipedia.org/wiki/Experimental_mathematics

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   What are examples of Experimental Mathematics?

   • Applications and examples of experimental mathematics include: Roger Frye used experimental mathematics techniques to find the smallest counterexample to Euler's sum of powers conjecture. The ZetaGrid project was set up to search for a counterexample to the Riemann hypothesis.

   Experimental mathematics - Wikipedia

   en.wikipedia.org/wiki/Experimental_mathematics

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   Are mathematical experiments based on a computer?

   • This is also noted in the aims of the journal Experimental Mathematics: “Many mathematical experiments these days are carried out on computers, but others are still the result of pencil-and-paper work, and there are other experimental techniques, like building physical models.” 1

   Experimental Mathematics in Mathematical Practice

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

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   Are mathematical experiments a good way to learn mathematics?

   • Mathematical experiments offer extremely good possibilities to ‘do’ mathematics but have clear limitations: they stimulate enthusiasm and true motivation, but neither give formal arguments nor can replace a course in a mathematical subject. Working with mathematical experiments goes far beyond ‘learning mathematics’.

   Mathematical Experiments—An Ideal First Step into Mathematics - Spri…

   link.springer.com/chapter/10.1007/978-3-319-72170-5_2

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   What arithmetic is used in experimental mathematics?

   • One of the key techniques used in experimental mathematics is integer relation detection, which in effect searches for linear relationships satisfied by a set of numerical values. To be precise, given A. This is the principal reason for the interest in very high-precision arithmetic in experimental mathematics.

   Experimental Mathematics: Examples, Methods and Implications

   www.ams.org/notices/200505/fea-borwein.pdf

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2. link.springer.com › chapter › 10Mathematical Experiments—An Ideal First Step into Mathematics

   link.springer.com › chapter › 10

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   Feb 6, 2018 · The experiments in Mathematikum cover many mathematical disciplines, such as geometry (shapes and patterns), arithmetic (numbers and calculating), calculus (functions), probability (randomness and statistics), algorithms, and history of mathematics. No mathematical discipline is generally excluded.

   • Experimental Mathematics in Mathematical Practice

     This chapter presents an overview of the contributions to...

   • What is an experiment in mathematical practice? New evidence ...

     We mined the Mathematical Reviews for entries related to...

3. en.wikipedia.org › wiki › Experimental_mathematicsExperimental mathematics - Wikipedia

   en.wikipedia.org › wiki › Experimental_mathematics

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   Experimental mathematics is an approach to mathematics in which computation is used to investigate mathematical objects and identify properties and patterns. [1]

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

   link.springer.com › referenceworkentry › 10

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   Nov 4, 2023 · This chapter presents an overview of the contributions to the section on Experimental Mathematics by focusing in particular on how they characterize the phenomenon of “experimental mathematics” and its origins. The second part presents two case studies...

   • Author: Jessica Carter

   • Email: jessica@css.au.dk

6. link.springer.com › article › 10What is an experiment in mathematical practice? New evidence ...

   link.springer.com › article › 10

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   Jan 30, 2024 · We mined the Mathematical Reviews for entries related to experiments, and through an iterative process of qualitative and quantitative analyses, we identified a set of typical roles that experiments play in mathematical practice, with special focus on the role as epistemic warrants.

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8. 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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9. mathworld.wolfram.com › ExperimentalMathematicsExperimental Mathematics -- from Wolfram MathWorld

   mathworld.wolfram.com › ExperimentalMathematics

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   Experimental mathematics is a type of mathematical investigation in which computation is used to investigate mathematical structures and identify their fundamental properties and patterns.

10. www2.math.upenn.edu › ~wilf › websiteMathematics: An Experimental Science - University of Pennsylvania

    www2.math.upenn.edu › ~wilf › website

    Mathematics: An Experimental Science. Herbert S. Wilf. University of Pennsylvania Philadelphia, PA 19104-6395, USA. 1 The mathematician’s telescope. Albert Einstein once said “You can confirm a the-ory with experiment, but no path leads from exper-iment to theory.” But that was before computers.