Orthogonal polynomials

Rodrigues' formula

In mathematics, Rodrigues' formula (formerly called the Ivory–Jacobi formula) is a formula for the Legendre polynomials independently introduced by Olinde Rodrigues, Sir James Ivory and Carl Gustav Jacobi. The name "Rodrigues formula" was introduced by Heine in 1878, after Hermite pointed out in 1865 that Rodrigues was the first to discover it. The term is also used to describe similar formulas for other orthogonal polynomials. describes the history of the Rodrigues formula in detail. (Wikipedia).

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Euler's formulas, Rodrigues' formula

In this video I proof various generalizations of Euler's formula, including Rodrigues' formula and explain their 3 dimensional readings. Here's the text used in this video: https://gist.github.com/Nikolaj-K/eaaa80861d902a0bbdd7827036c48af5

From playlist Algebra

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Derivation of Rodrigues’ Rotation Formula

In this video we explain and derive Rodrigues’ Rotation Formula. This functions describes how to rotate an arbitrary vector about another arbitrary axis of rotation. This has applications to orbital mechanics, computer graphics, rigid body kinematics, and dynamic system simulation. This

From playlist Flight Mechanics

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3D Rotations in General: Rodrigues Rotation Formula and Quaternion Exponentials

In this video, we will discover how to rotate any vector through any axis by breaking up a vector into a parallel part and a perpendicular part. Then, we will use vector analysis (cross products and dot products) to derive the Rodrigues rotation formula and finish with a quaternion point o

From playlist Quaternions

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Euler Angles and the Euler Rotation Sequence

In this video we discuss how Euler angles are used to define the relative orientation of one coordinate frame to another. Topics and Timestamps: 0:00 – Introduction and example 2:34 – The Euler Rotation Sequence 16:10 – Matlab animation showing rotation sequence 21:03 – The direction cos

From playlist Flight Mechanics

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Rules, Rule-Breaking, and French Neoclassicism: Crash Course Theater #20

Everyone knows, you need a bunch of rules to make good theater. That's what the French thought in the 17th century, anyway. The French Neoclassical revival had a BUNCH of French playwrights following a bunch of rules. Unsurprisingly, some of the most interesting plays of the era broke thos

From playlist Crash Course Theater and Drama

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How to solve a quadratic using the quadratic formula

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by

From playlist Solve by Quadratic Formula | ax^2+bx+c

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AP Physics 1 Review of Charge and Circuit | Physics | Khan Academy

In this video David quickly explains each charge and circuit concept and does a sample question for each one. Created by David SantoPietro. Watch the next lesson: https://www.khanacademy.org/science/physics/review-for-ap-physics-1-exam/ap-physics-1-free-response-questions-2015/v/2015-ap-p

From playlist Review for AP Physics 1 exam | AP Physics 1 | Khan Academy

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Two important milestones in the history of the Universe: (Lecture -03) by Rashid A. Sunyaev

Infosys-ICTS Chandrasekhar Lectures X-ray and microwave cosmology Speaker: Rashid A. Sunyaev (Space Research Institute of the Russian Academy of Sciences, Moscow; Max-Planck Institute for Astrophysics, Garching; Institute for Advanced Study, Princeton) Date: 17 January 2019, 17:00 to 18

From playlist Infosys-ICTS Chandrasekhar Lectures

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Searching for Reptiles on Indian Ocean Islands

In January 2013, Museum Curator Christopher Raxworthy set out on a Constantine S. Niarchos Expedition to several island groups in the Indian Ocean, hundreds of miles off of Africa's eastern coast to survey reptile species. Dr. Raxworthy and his team travelled to the Seychelles and the Masc

From playlist Constantine S. Niarchos Expeditions

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How to apply the quadratic formula to find one solution

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by

From playlist Solve by Quadratic Formula | ax^2+bx+c

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Describe and solve for the zeros using quadratic formula

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by

From playlist Solve by Quadratic Formula | x^2+bx+c

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The discriminant and finding the solutions using quadratic formula

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by

From playlist Solve by Quadratic Formula | x^2+bx+c

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Find the roots of a quadratic using the quadratic formula

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by

From playlist Solve by Quadratic Formula | x^2+bx+c

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Factor using the quadratic formula finding real irrational roots

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by

From playlist Solve by Quadratic Formula | ax^2+bx+c

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See How Fishermen Are Working Together to Protect These Lagoons | Short Film Showcase

Mauritius is a small island with a big ocean state. Fringed by a ring of coral reefs, the lagoons attract millions of tourists and provide a livelihood for more than 2,200 local artisanal fishermen. However, years of degradation has left the oceans in a fragile state. ➡ Subscribe: http://b

From playlist Nature & Environment | National Geographic

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How to use the quadratic formula to solve a quadratic equation

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by

From playlist Solve by Quadratic Formula | x^2+bx+c

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Two Times in History When We Were Certain It Was Aliens

The USB dongle you can use to look for pulsars is here: https://amzn.to/2ozMSYE I wrote a foreword for this awesome Sci-Fi book here: https://amzn.to/3aGrg0I Get a Wonderful Person shirt: https://teespring.com/stores/whatdamath Alternatively, PayPal donations can be sent here: paypal.me/wh

From playlist Galaxies, Quasars, Blazars

Related pages

Legendre polynomials | Orthogonal polynomials | Laguerre polynomials | Kronecker delta