Matrices

Lehmer matrix

In mathematics, particularly matrix theory, the n×n Lehmer matrix (named after Derrick Henry Lehmer) is the constant symmetric matrix defined by Alternatively, this may be written as (Wikipedia).

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Linear Algebra Vignette 1a: Matrix Representation of a Linear Transformation

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Linear Algebra Vignettes

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Gram-Schmidt in ℝ³

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 4 Linear Algebra: Inner Products

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Lehmer Factor Stencils: A paper factoring machine before computers

In 1929, Derrick N. Lehmer published a set of paper stencils used to factor large numbers by hand before the advent of computers. We explain the math behind the stencils, which includes modular arithmetic, quadratic residues, and continued fractions, including my favourite mathematical vi

From playlist Joy of Mathematics

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Linear Algebra 11q: Algorithm for Calculating the Inverse Matrix

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

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Eriko Hironaka - Lehmer's Problem and Dilatations of Mapping Classes

Eriko Hironaka talks at the Worldwide Center of Mathematics "Lehmer's Problem and Dilatations of Mapping Classes"

From playlist Center of Math Research: the Worldwide Lecture Seminar Series

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Linear Algebra 19h: Matrix Representation of a Linear Transformation - Alternative Basis

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 3 Linear Algebra: Linear Transformations

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How they found the World's Biggest Prime Number - Numberphile

Featuring Matt Parker... More links & stuff in full description below ↓↓↓ See part one at: https://youtu.be/tlpYjrbujG0 Part three on Numberphile2: https://youtu.be/jNXAMBvYe-Y Matt's interview with Curtis Cooper: https://youtu.be/q5ozBnrd5Zc The previous record: https://youtu.be/QSEKzFG

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Why Do We Need a 23 Million Digit Prime Number?

Finding the biggest prime number might not only have applications in computing, it could also win you some serious money. Here’s how. The ‘Ham Sandwich Theorem’ Will Change How You See the Universe… Seriously - https://youtu.be/uhNqEs7vDGg Read More: How a FedEx employee discovered th

From playlist Elements | Seeker

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Factor Stencils Review / HowTo

Factor stencils based on a design from the 1920s by D. N. Lehmer. His will factor any number up to 3,000,000,000,000. Mine are smaller, so only factor up to 200,000. This is episode 37 of my video series about calculating devices. Visit my site for PDFs and SVGs to download and make your

From playlist Calculating Devices Review / HowTos

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Linear Algebra 8e: A 3x3 Linear System

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

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Linear Algebra Vignette 3d: Easy Eigenvalues - Linearly Dependent Columns

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Linear Algebra Vignettes

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Linear Algebra 21j: Two Geometric Interpretations of Orthogonal Matrices

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 3 Linear Algebra: Linear Transformations

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Linear Algebra 2q: Summary of Terms Encountered so Far

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

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Patrick Ingram, The critical height of an endomorphism of projective space

VaNTAGe seminar on June 9, 2020. License: CC-BY-NC-SA. Closed captions provided by Matt Olechnowicz

From playlist Arithmetic dynamics

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Why is Pi, too: The wrong, amazing proof #SoME2

After making another video which became too long, I made this short one as my submission for #some2 Here is the link to the 1900 paper of Lehmer https://www.jstor.org/stable/i340649 Proof of the lemma I mentioned: 1) https://books.google.nl/books/about/An_Introduction_to_the_Theory_of_

From playlist Summer of Math Exposition 2 videos

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Harold Stark - The origins of conjectures on derivatives of L-functions at s=0 [1990’s]

slides for this talk: http://www.msri.org/realvideo/ln/msri/2001/rankin-L/stark/1/banner/01.html The origins of conjectures on derivatives of L-functions at s=0 Harold Stark http://www.msri.org/realvideo/ln/msri/2001/rankin-L/stark/1/index.html

From playlist Number Theory

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New World's Biggest Prime Number (PRINTED FULLY ON PAPER) - Numberphile

Matt Parker on the latest Mersenne Prime to take the title of "world's biggest prime". He had it printed! More links & stuff in full description below ↓↓↓ More from this interview very soon, including details of how the prime was found. PART TWO: https://youtu.be/lEvXcTYqtKU PART THREE o

From playlist Matt Parker (standupmaths) on Numberphile

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Linear Algebra Vignette 3e: Easy Eigenvalues - Triangular Matrices

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Linear Algebra Vignettes

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Linear Algebra Vignette 2d: RREF And The Inverse Matrix

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Linear Algebra Vignettes

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My #MegaFavNumbers is 2^82589933-1 // The largest Mersenne prime…..yet

This video is part of the #MegaFavNumbers series where a tonne of math youtubers like @numberphile @standupmaths and @3blue1brown share their favourite MEGA numbers, i.e. numbers over a million. Check out the full playlist here: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPs

From playlist MegaFavNumbers

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