Experimental mathematics

Experimental mathematics

Experimental mathematics is an approach to mathematics in which computation is used to investigate mathematical objects and identify properties and patterns. It has been defined as "that branch of mathematics that concerns itself ultimately with the codification and transmission of insights within the mathematical community through the use of experimental (in either the Galilean, Baconian, Aristotelian or Kantian sense) exploration of conjectures and more informal beliefs and a careful analysis of the data acquired in this pursuit." As expressed by Paul Halmos: "Mathematics is not a deductive science—that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork. You want to find out what the facts are, and what you do is in that respect similar to what a laboratory technician does." (Wikipedia).

Video thumbnail

What is the difference between theoretical and experimental physics?

Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu

From playlist Science Unplugged: Physics

Video thumbnail

Experiments A Cappella

A short a cappella tribute to experimentalists. It is sung while performing three simple experiments with household items: Mentos dropped in diet Coke, a tea bag emptied and burned, and a ping pong ball floating in the air stream of a hair dryer.

From playlist Science Experiments!

Video thumbnail

Ch. 9 - Theoretical Probability (IB Math Studies)

Join me on Twitter: http://twitter.com/WhatDaMath Hello and welcome to What Da Math This video is an introduction to Theoretical Probability from Chapter 9 and explains difference between this and Experimental Probability, as well as touches on complementary probability, 2D grids and pro

From playlist IB Math Studies Chapter 9

Video thumbnail

In order to push knowledge forward, what comes first: observation or theory?

Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu

From playlist Science Unplugged: Big Ideas

Video thumbnail

The Scientific Method and the question of "Infinite Sets" | Sociology and Pure Maths| N J Wildberger

Let's get some kind of serious discussion going about the differences in methodology and philosophy between the sciences and mathematics, and how these differences manifest themselves in the attitude towards the logical foundations of mathematics. In particular we look at a bulwark notio

From playlist Sociology and Pure Mathematics

Video thumbnail

Statistics Lesson #3: Randomized Experiments & Observational Studies

This video is for my College Algebra and Statistics students (and anyone else who may find it helpful). I define a randomized experiment, show a couple of examples, and define some important vocabulary related to experiments. Then I define an observational study, give an example, and discu

From playlist Statistics

Video thumbnail

SketchySVD - Joel Tropp, California Institute of Technology

This workshop - organised under the auspices of the Isaac Newton Institute on “Approximation, sampling and compression in data science” — brings together leading researchers in the general fields of mathematics, statistics, computer science and engineering. About the event The workshop ai

From playlist Mathematics of data: Structured representations for sensing, approximation and learning

Video thumbnail

The Role of Theory in Science - David Gross

Speaker : David Gross (KITP, Santa Barbara) Date and Time : 28 Dec 2009, 05:30 PM Venue : J. N. Tata Auditorium, IISc, Bangalore On the occasion of the inauguration of the International Centre for Theoretical Sciences, TIFR, I shall share some of my observations and conclusions as to the

From playlist Public Lectures

Video thumbnail

Viviane Durand-Guerrier : Démarche expérimentale et apprentissages mathématiques [...]

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Forum mathématiques vivantes

Video thumbnail

History of Science and Technology Q&A (April 6, 2022)

Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram If you missed the original livestream of

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

Video thumbnail

What is Discrete Mathematics?

This video explains what is taught in discrete mathematics.

From playlist Mathematical Statements (Discrete Math)

Video thumbnail

Tibees interviewed by Learn Engineering

Welcome to an another episode of Educator's Talk. Today's guest of the Educator' Talk is Ms Toby Hendy of the YouTube channel Tibees. Enjoy the show and don't forget to subscribe to her channel - https://www.youtube.com/tibees instagram : https://www.instagram.com/sabinzmathew/ Twitter

From playlist My Vlogs

Video thumbnail

What are Scientific Breakthroughs in Physics? | Episode 2103 | Closer To Truth

Science explores how the world works. Breakthroughs drive science, challenging conventional wisdom, changing ways of thinking. Physics is foundational. What are Breakthroughs in Physics? What characterizes Breakthroughs in Physics? Featuring interviews with Robbert Dijkgraaf, Edward Witte

From playlist Closer To Truth | Season 21

Video thumbnail

Definitions, specification and interpretation | Arithmetic and Geometry Math Foundations 44

We discuss important meta-issues regarding definitions and specification in mathematics. We also introduce the idea that mathematical definitions, expressions, formulas or theorems may support a variety of possible interpretations. Examples use our previous definitions from elementary ge

From playlist Math Foundations

Video thumbnail

School Participants Presentations

PROGRAM: Data Assimilation Research Program Venue: Centre for Applicable Mathematics-TIFR and Indian Institute of Science Dates: 04 - 23 July, 2011 DESCRIPTION: Data assimilation (DA) is a powerful and versatile method for combining observational data of a system with its dynamical mod

From playlist Data Assimilation Research Program

Video thumbnail

The Primacy of Experiment - Kyle Cranmer

The Universe Speaks in Numbers Physics and mathematics seem to be in a pre-established harmony, as Gottfried Leibniz observed long ago. New ideas generated by mathematical researchers have often proved to be essential to physicists trying to discover the most basic laws of nature. Likewise

From playlist The Universe Speaks in Numbers

Video thumbnail

Adventures in mathematical immunology by Carmen Molina París

DISCUSSION MEETING : MATHEMATICAL AND STATISTICAL EXPLORATIONS IN DISEASE MODELLING AND PUBLIC HEALTH ORGANIZERS : Nagasuma Chandra, Martin Lopez-Garcia, Carmen Molina-Paris and Saumyadipta Pyne DATE & TIME : 01 July 2019 to 11 July 2019 VENUE : Madhava Lecture Hall, ICTS, Bangalore

From playlist Mathematical and statistical explorations in disease modelling and public health

Video thumbnail

Basic Probability – Quick Introduction

TabletClass Math: https://tcmathacademy.com/ Basic probability to include theoretical, experimental probability and the law of large numbers. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.c

From playlist GED Prep Videos

Video thumbnail

Let’s Learn Basic PROBABILITY….Step-by-Step….

TabletClass Math: https://tcmathacademy.com/ Math help with basic probability. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: Pre-Algebra Notes: https://tabletclass-math

From playlist GED Prep Videos

Video thumbnail

What is a number? | Arithmetic and Geometry Math Foundations 1 | N J Wildberger

The first of a series that will discuss foundations of mathematics. Contains a general introduction to the series, and then the beginnings of arithmetic with natural numbers. This series will methodically develop a lot of basic mathematics, starting with arithmetic, then geometry, then alg

From playlist Math Foundations

Related pages

Jonathan Borwein | Bailey–Borwein–Plouffe formula | Ulam number | N-body problem | ZetaGrid | Ulam spiral | Riesel number | Dynamical system | Riemann hypothesis | Integer relation algorithm | Conjecture | Schottky group | Borwein integral | Sudoku | Golomb ruler | Group (mathematics) | Lambert W function | Riesel Sieve | Infinite product | Mathematical constant | Collatz conjecture | Mathematical proof | Ronald Graham | Symbolic integration | Mathematical software | Proof by exhaustion | Computer-assisted proof | T-symmetry | Counterexample | Experimental Mathematics (journal) | Mathematical coincidence | Quantum nonlocality | Seventeen or Bust | Paul Halmos | Mathematics | Euler's sum of powers conjecture | Three-body problem | Mersenne prime | Pi | Mitchell Feigenbaum | Inverse Symbolic Calculator | Kepler conjecture | Great Internet Mersenne Prime Search | Distributed.net | Möbius transformation | Slowly varying envelope approximation | Series (mathematics) | Integral | Cyclotomic polynomial | Computer algebra | Projective plane | Indra's Pearls (book) | Error detection and correction