Mathematical identities | Lie algebras | Infinite products
In mathematics, the Macdonald identities are some infinite product identities associated to affine root systems, introduced by Ian Macdonald. They include as special cases the Jacobi triple product identity, Watson's quintuple product identity, several identities found by , and a 10-fold product identity found by . and pointed out that the Macdonald identities are the analogs of the Weyl denominator formula for affine Kac–Moody algebras and superalgebras. (Wikipedia).
Rogers-Ramanujan Identities | Part 8: The Empirical Hypothesis.
This is the 8th in a series of videos devoted to the Rogers-Ramanujan identities. In this video we prove the "so called" empirical hypothesis which has to do with the structure of certain q-series constructed from the product side of the R-R identities. Rogers-Ramanujan Playlist: https:/
From playlist Rogers-Ramanujan Identities
What are co function identities
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal, half-angle, double angle, Pythagorean, sum, and difference. I
From playlist Learn About Trigonometric Identities
What do I need to know to verify trigonometric Identities
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal, half-angle, double angle, Pythagorean, sum, and difference. I
From playlist Learn About Trigonometric Identities
Where do the basic trigonometric identities come from
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal, half-angle, double angle, Pythagorean, sum, and difference. I
From playlist Learn About Trigonometric Identities
Where trigonometric identities come from
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal, half-angle, double angle, Pythagorean, sum, and difference. I
From playlist Learn About Trigonometric Identities
Understand where the reciprocal and Quotient Identities come from
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal, half-angle, double angle, Pythagorean, sum, and difference. I
From playlist Learn About Trigonometric Identities
Counting Integer Points in Polygons with Negative Numbers | A 'moral' Intro to Generating Functions
Turn on the subtitles for the BEST experience. :) 0:00 - Introduction 5:17 - Section 1: The What and Why of Generating Functions 15:18 - Section 2: Finding GFs for Lattice Counting Functions 34:11 - Section 3: Substituting Negative Numbers 47:46 - Section 4: The Finale 58:09 - Conclusion
From playlist Summer of Math Exposition 2 videos
Understand where the cofunction identities come from
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal, half-angle, double angle, Pythagorean, sum, and difference. I
From playlist Learn About Trigonometric Identities
Living With Nepal's Last Nomads (Global Documentary) | Real Stories
In a demanding and emotional journey, Kate Humble travels with the Raute, Nepal's very last nomadic community of just 140 hunter-gatherers. Facebook - https://www.facebook.com/RealStoriesChannel Instagram - @realstoriesdocs Twitter: https://twitter.com/realstoriesdocs Content licensed fr
From playlist Global Documentaries
What Did Hubble Discover in the Atmosphere of This Strange Planet?
You can buy Universe Sandbox 2 game here: http://amzn.to/2yJqwU6 Hello and welcome! My name is Anton and in this video, we will talk about the detailed observation of the atmosphere of an exoplanet known as Gliese 3470b also known as GJ 3470b. Read the paper here: https://arxiv.org/ftp/ar
From playlist Unusual Exoplanets
Lagrange's trigonometric identity.
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From playlist Trigonometric Identities
This Planet is Remarkably Similar to Earth In Many Ways, But One
You can buy Universe Sandbox 2 game here: http://amzn.to/2yJqwU6 Hello and welcome! My name is Anton and I caught bronchitis, so this is a pre-recorded video. In this video, we will talk about an unusual exoplanet Kepler-452b that seems to be exceptionally similar to planet Earth. Paper:
From playlist Unusual Exoplanets
Clan MacDonald Family Tree | Scottish Genealogy
Download the chart (free): https://cdn.shopify.com/s/files/1/1835/6621/files/clan-macdonald-family-tree-scotland.png?v=1589555296 CREDITS: Chart: Matt Baker Script/Narration: @JackRackam Intro animation: @AlMuqaddimahYT Intro music: "Lord of the Land" by Kevin MacLeod and licensed unde
From playlist Royal Family Trees
POLITICS: Prime Minister Ramsay Macdonald returns from USA and Canada (1929)
EMPIRE NEWS NEWSREEL (REUTERS) To license this film, visit https://www.britishpathe.com/video/VLVA9NXO3RU37YH3QVJZYPTFLUXOK-POLITICS-PRIME-MINISTER-RAMSAY-MACDONALD-RETURNS-FROM-USA-AND Prime Minister Ramsay Macdonald MP returning with his daughter Ishbel MacDonald from visiting USA and
From playlist EMPIRE NEWS NEWSREEL (REUTERS)
Japanese Scientists Discover Super Rare Type of a Black Hole
You can buy Universe Sandbox 2 game here: http://amzn.to/2yJqwU6 Hello and welcome! My name is Anton and in this video, we will talk about a recent discovery of a rare type of a black hole that we have never seen before. The study is here: https://iopscience.iop.org/article/10.3847/2041-
From playlist Blackholes
POLITICS: Ramsay Macdonald given Freedom of Elgin (1929)
EMPIRE NEWS NEWSREEL (REUTERS) To license this film, visit https://www.britishpathe.com/video/VLVACT1CNKV3LEU18DA6PRDKQPE22-POLITICS-RAMSAY-MACDONALD-GIVEN-FREEDOM-OF-ELGIN Prime Minister Ramsay Macdonald is given the freedom of the city of Elgin. Full Description: SLATE CARD INFORMAT
From playlist EMPIRE NEWS NEWSREEL (REUTERS)
Tips to verifying trigonometric identities
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal, half-angle, double angle, Pythagorean, sum, and difference. I
From playlist Learn About Trigonometric Identities
Titles read: "MAKE-UP AND GET WELL". Various locations of events. Four nurses, Marjory Turner, Jean Harris, Anita Scannell and Veronica Brown, enter a beauty parlour in Bond Street, London, and are greeted by director Eleanor Macdonald. We then see various shots of the nurses receiv
From playlist Make-Up | British Pathé
What do I need to know for Simplifying Trigonometric Expressions
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal, half-angle, double angle, Pythagorean, sum, and difference. I
From playlist Learn About Trigonometric Identities
Scientists Discover A Mysterious Anomaly Inside Moon's Largest Crater
You can buy Universe Sandbox 2 game here: http://amzn.to/2yJqwU6 Hello and welcome! My name is Anton and in this video, we will talk about a discovery of a strange mass anomaly inside South Pole Aitken Basin (largest crater in the solar system) on the Moon. Read the paper here: https://a
From playlist The Moon