This is a video I have been wanting to make for some time, in which I discuss what the quaternions are, as mathematical objects, and how we do calculations with them. In particular, we will see how the fundamental equation of the quaternions i^2=j^2=k^2=ijk=-1 easily generates the rule for
From playlist Quaternions
This lesson explains how to determine numbers when written using Roman numerals and how to write numbers using Roman numerals. Site: http://mathispower4u.com
From playlist Roman Numerals
Multiplying Roman Numerals Like the Romans Did [Math Mini]
The Roman Numeral system is particularly different from our decimal number system in this key respect: it has no place value. Rather than represent values by some power of 10 (or otherwise), roman numerals represent value additively. Each symbol stands for a certain value, and to get the c
From playlist Math Mini
Finding the sum or an arithmetic series using summation notation
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Geometric Algebra - Rotors and Quaternions
In this video, we will take note of the even subalgebra of G(3), see that it is isomorphic to the quaternions and, in particular, the set of rotors, themselves in the even subalgebra, correspond to the set of unit quaternions. This brings the entire subject of quaternions under the heading
From playlist Math
Quaternions as 4x4 Matrices - Connections to Linear Algebra
In math, it's usually possible to view an object or concept from many different (but equivalent) angles. In this video, we will see that the quaternions may be viewed as 4x4 real-valued matrices of a special form. What is interesting here is that if you know how to multiply matrices, you a
From playlist Quaternions
quaternion square root of -1. We calculate the square root of -1 using the quaternions, which involves knowing how to multiply quaternion numbers. The answer will surprise you, because it involves spheres and it will make you see complex numbers in a new way, as north and south poles of ba
From playlist Complex Analysis
Learn to use summation notation for an arithmetic series to find the sum
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
ScienceLIVE: Have We Entered the 'Age of Man'?
From playlist ScienceLIVE
Overview of protein structure | Macromolecules | Biology | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/science/ap-biology/chemistry-of-life/properties-structure-and-function-of-biological-macromolecules/v/overview-of-protein-structure Primary, secondary, tertiary and q
From playlist Subject Test Practice: Biology | New SAT | Khan Academy
Particle Physics (13 of 41) Elementary Particles: What Is A Quark? (Part 1)
Visit http://ilectureonline.com for more math and science lectures! In this video I will give a detail description of quarks. Next video in the Particle Physics series can be seen at: https://youtu.be/De0U8fUBI7o
From playlist PHYSICS 65 PARTICLE PHYSICS
Chem 203. Discussion 09: Lecture 24 continued & 1H-NMR Homework #6
Full Chem 203 Playlist: https://www.youtube.com/playlist?list=PLqOZ6FD_RQ7nUiPCa47zSrMWArKAdwfcD UCI Chem 203 Organic Spectroscopy (Fall 2020) Discussion 09: Lecture 24 continued & 1H-NMR Homework #6 Instructor: James S. Nowick, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http:
From playlist Chemistry 203, Organic Spectroscopy (2020)
Aurel PAGE - Cohomology of arithmetic groups and number theory: geometric, ... 1
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Nonautonomous and Random Dynamical Systems Into the Climate Sciences - Ghil -Workshop 1 -CEB T3 2019
Ghil (ENS, Paris, and UCLA) / 09.10.2019 Nonautonomous and Random Dynamical Systems Into the Climate Sciences H. Poincaré already raised doubts about the predictability of weather due to the divergence of orbits of dynamical systems associated more recently with chaos. Progress in th
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
CTNT 2020 - Elliptic curves and the local-global principle for quadratic forms - Asher Auel
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Conference Videos
Guilherme Ost & et Claudia Vargas - Retrieving the structure of probabilistic sequences...
Retrieving the structure of probabilistic sequences of auditory stimuli from electroencephalographic (EEG) signals ---------------------------------- Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS http://www.ihp.fr/ Rejoingez les réseaux sociaux de l'IHP pour être au c
From playlist Workshop "Workshop on Mathematical Modeling and Statistical Analysis in Neuroscience" - January 31st - February 4th, 2022
Asymmetric Total Synthesis of Toxicodenane A
An organic chemistry minilecture on the Asymmetric Total Synthesis of Toxicodenane A by Samarium-Iodide-Induced Barbier-Type Cyclization and Its Cell-Protective Effect against Lipotoxicity by Keisuke Nishikawa,* Koki Kikuta, Tomoki Tsuruta, Hitoshi Nakatsukasa, Sho Sugahara, Shinji Kume an
From playlist Total Synthesis
Giuseppe De Nittis : Topological nature of the Fu-Kane-Mele invariants
Abstract: Condensed matter electronic systems endowed with odd time-reversal symmetry (TRS) (a.k.a. class AII topological insulators) show topologically protected phases which are described by an invariant known as Fu-Kane-Mele index. The construction of this in- variant, in its original f
From playlist Mathematical Physics
Ex: Write the Number for Roman Numerals
This video explains how to determine the number when it is written using Roman numerals. Site: http://mathispower4u.com
From playlist Roman Numerals