- published: 06 Oct 2011
- views: 24231
The concept of a random sequence is essential in probability theory and statistics. The concept generally relies on the notion of a sequence of random variables and many statistical discussions begin with the words "let X1,...,Xn be independent random variables...". Yet as D. H. Lehmer stated in 1951: "A random sequence is a vague notion... in which each term is unpredictable to the uninitiated and whose digits pass a certain number of tests traditional with statisticians".
Axiomatic probability theory deliberately avoids a definition of a random sequence. Traditional probability theory does not state if a specific sequence is random, but generally proceeds to discuss the properties of random variables and stochastic sequences assuming some definition of randomness. The Bourbaki school considered the statement "let us consider a random sequence" an abuse of language. During the 20th century various technical approaches to defining random sequences were developed and now three distinct paradigms can be identified.
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This video shows why humans are terrible at generating random sequences. Why flipping a coin is different & introduces the concept of frequency stability.
James Tanton takes viewers through this question from the 2008 MAA AMC 10A Competition. Appropriate for the junior high-school grades, this question covers Probability. Read the essay that goes with this question here: http://bit.ly/1ftoirx (PDF). Curriculum Inspirations is brought to you by the Mathematical Association of America and the MAA American Mathematics Competitions. Learn more here: http://www.maa.org/curriculum-inspirations MAA acknowledges with gratitude the generous contributions of the following donors to the Curriculum Inspirations Project: The TBL and Akamai Foundations for providing continuing support The Mary P. Dolciani Halloran Foundation for providing seed funding by supporting the Dolciani Visiting Mathematician Program during fall 2012 MathWorks for its suppo...
live modular jam
Jamming around with the Turing Machine Random Sequencer and the two expansion modules Pulses and Voltages. The sounds are coming from several modules including the Mutable Instruments Braids, Edges and Anushri and the Hexinverter.net Jupiter Storm. Drums curtesy of Sonic Potions' LXR drum synth more info about the Turing Machine RLS http://www.thonk.co.uk/
Jukin Media Verified (Original) * For licensing / permission to use: Contact - licensing(at)jukinmediadotcom Submit your videos here: http://bit.ly/2iFnUya
She is working with programming now. More to come soon.
This video shows why humans are terrible at generating random sequences. Why flipping a coin is different & introduces the concept of frequency stability.
James Tanton takes viewers through this question from the 2008 MAA AMC 10A Competition. Appropriate for the junior high-school grades, this question covers Probability. Read the essay that goes with this question here: http://bit.ly/1ftoirx (PDF). Curriculum Inspirations is brought to you by the Mathematical Association of America and the MAA American Mathematics Competitions. Learn more here: http://www.maa.org/curriculum-inspirations MAA acknowledges with gratitude the generous contributions of the following donors to the Curriculum Inspirations Project: The TBL and Akamai Foundations for providing continuing support The Mary P. Dolciani Halloran Foundation for providing seed funding by supporting the Dolciani Visiting Mathematician Program during fall 2012 MathWorks for its suppo...
live modular jam
Jamming around with the Turing Machine Random Sequencer and the two expansion modules Pulses and Voltages. The sounds are coming from several modules including the Mutable Instruments Braids, Edges and Anushri and the Hexinverter.net Jupiter Storm. Drums curtesy of Sonic Potions' LXR drum synth more info about the Turing Machine RLS http://www.thonk.co.uk/
Jukin Media Verified (Original) * For licensing / permission to use: Contact - licensing(at)jukinmediadotcom Submit your videos here: http://bit.ly/2iFnUya
She is working with programming now. More to come soon.
A random sequence of seemingly unrelated events. This is March. SUBSCRIBE TO MY CHANNEL: http://youtube.com/hazel CHLOE'S LITTLE MOMENTS: https://www.youtube.com/watch?v=0hs3rwYTy1k DAN'S PMS: https://www.youtube.com/watch?v=zgnXvUibyoU FOLLOW ME ON TWITTER: http://twitter.com/thehazelhayes LOOK AT ME ON INSTAGRAM: http://instagram.com/thehazelhayes Music: Licensed from Epidemic Sound
Ensemble Intercontemporain, Peter Rundel, Paris, 20 oct 2013 Video: random sequence of 6 fragements, 10 seconds each. Filmed at the Saatchi Gallery in London, august 2015
Steamworld Heist play-trough on elite difficulty using random sequence generator for per mission party members selection.
Just messing around with ideas for creating random MIDI sequences, editing MIDI and Frequencies for Bass Lines
OSC is a generative audio-visual composition. Elements are randomly sequenced, and iterations of the piece are never identical. (Fullscreen recommended) Exhibited as part of Unconventional Measurements, 2014 Iteration #5 recorded July 16, 2014
Void Shuffle (int[] array) shuffled in a random sequence on a Mede8er MED400X2S HD Multimedia Player, displayed on a Philips 42" 42PFL7704D LCD screen.
Physical Applications of Stochastic Processes by Prof. V. Balakrishnan,Department of Physics,IIT Madras.For more details on NPTEL visit http://nptel.ac.in