Minkowski addition

Vector addition

Adding vectors is a simple task. As long as the vectors are represented in a similar space, i.e. two- or three-dimensional space, the task of vector addition can be accomplished by element-wise addition of the components of the vectors. You can learn more about Mathematica on my Udemy co

From playlist Introducing linear algebra

Binary 7 – Floating Point Binary Addition

This is the seventh in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video covers adding together floating point binary numbers for a given sized mantissa and exponent, both in two’s complement.

From playlist Binary

What is a vector?

What is a vector? We gently introduce the i and j basis vectors and the idea of a column vector is presented. The algebra of addition, subtraction and scalar multiplication is discussed. Free ebook Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Take a sh

From playlist Introduction to Vectors

3A Matrix Addition and Subtraction-YouTube sharing.mov

Learn how to add and subtract matrices.

From playlist Linear Algebra

Matrix addition

How do we add matrices. A matrix is an abstract object that exists in its own right, and in this sense, it is similar to a natural number, or a complex number, or even a polynomial. Each element in a matrix has an address by way of the row in which it is and the column in which it is. Y

From playlist Introducing linear algebra

QED Prerequisites Geometric Algebra 7 - Multivector Addition

In this video we attack the formal nature of multivector addition. Please consider supporting this channel on Patreon: https://www.patreon.com/XYLYXYLYX The software I usually use to produce the lectures is: https://apps.apple.com/us/app/vittle-pro-video-whiteboard/id629037418

From playlist QED- Prerequisite Topics

Polynomials with Trigonometric Solutions (2 of 3: Substitute & solve)

More resources available at www.misterwootube.com

From playlist Using Complex Numbers

Binary 8 – Floating Point Binary Subtraction

This is the eighth in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video covers subtraction of floating point binary numbers for a given sized mantissa and exponent, both in two’s complement.

From playlist Binary

Franz Schuster: Blaschke–Santaló Inequalities for Minkowski and Asplund Endomorphisms

The Blaschke–Santaló inequality is one of the best known and most powerful affine isoperimetric inequalities in convex geometric analysis. In particular, it is significantly stronger than the classical Euclidean Urysohn inequality. In this talk, we present new isoperimetric inequalities fo

From playlist Workshop: High dimensional measures: geometric and probabilistic aspects

Adding and Subtracting Polynomials

We just learned what polynomials are, but that's not going to be enough! We have to learn how to add, subtract, multiply, and divide them. Let's start with the easy operations, addition and subtraction! Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tu

From playlist Algebra 1 & 2

Emanuel Milman - The log-Minkowski Problem - IPAM at UCLA

Recorded 09 February 2022. Emanuel Milman of Technion - Israel Institute of Technology presents "The log-Minkowski Problem" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: The classical Minkowski problem asks to find a convex body K in Rn having a prescrib

From playlist Workshop: Calculus of Variations in Probability and Geometry

QED Prerequisites Geometric Algebra: Spacetime.

In this lesson we continue our reading of an excellent paper on Geometric Algebra and spacetime algebra. The paper can be found here: https://arxiv.org/abs/1411.5002 We will cover section 3.1 and begin section 3.2. This material includes our first expansion of the vector space of spacet

From playlist QED- Prerequisite Topics

Sergiu Klainerman - 3/4 On the Mathematical Theory of Black Holes

https://indico.math.cnrs.fr/event/3463/ The gravitational waves detected by LIGO were produced in the final faze of the inward spiraling of two black holes before they collided to produce a more massive black hole. The experiment is entirely consistent with the so called Final State Conjec

From playlist Sergiu Klainerman - On the Mathematical Theory of Black Holes

Eugenia Saorin-Gomez - Inner parallel bodies & the Isoperimetric Quotient

Recorded 10 February 2022. Eugenia Saorin-Gomez of the Universität Bremen presents "Inner parallel bodies & the Isoperimetric Quotient" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: The so-called Minkowski difference of convex bodies (compact and convex s

From playlist Workshop: Calculus of Variations in Probability and Geometry

[ANT06] Real and imaginary embeddings

When we try to draw a real quadratic extension of Z in the complex plane, it collapses onto the real line - we don't get a lattice any more. We're going to prise it apart by drawing it on the real line in two different ways at once. We'll be able to recover a genuine notion of geometry, an

From playlist [ANT] An unorthodox introduction to algebraic number theory

Relating Metric Tensor to Gravity | Tensor Calculus Ep. 16

Today I show how in the Newtonian limit, we're able to relate the metric tensor to the gravitational potential. We do this by imposing a static weak field metric, and see how this affects the geodesic equation. This will be one of many useful pieces of information we can use to argue what

From playlist New To Tensors? Start Here

QED Prerequisites Geometric Algebra 4: The antisymmetric part

After a short rehash of the last lesson, we first have another look at the component-based demonstration that the symmetric part of the spacetime product of two 4-vectors. Then we study the antisymmetric part of the spacetime product and commit to interpreting this antisymmetric part as th

From playlist QED- Prerequisite Topics

What is General Relativity? Lesson 21: Geodesic Equation Part 4: Null and Conformal Geodesics

This video is about What is General Relativity? Lesson 21: Null and Conformal Geodesics In this lecture we clean up a few topics: 1) The Lagrangian for null geodesics and, 2) The relationship between geodesics of conformally related metrics. Check out the forums at http://xylyxylyx.freef

From playlist What is General Relativity?

Sergiu Klainerman - Remarks on the stability of Kerr for axisymetryc perturbations

Remarks on the stability of Kerr for axisymetryc perturbations Licence: CC BY NC-ND 4.0

From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

The Addition and Subtraction Formulas for Trig are AWESOME PART 2

The Addition and Subtraction Formulas for Trig are AWESOME! In this first video, we look at some of the patterns used to remember them. #Trigisawesome For other videos, check this playlist: https://youtube.com/playlist?list=PLntYGYK-wJE3TbusouawjDYeSKHAO9Oms

From playlist Addition and Subtraction Trig Formulas