Abacus Harmonicus, or Abacum Arithmetico-Harmonicum is a table and tabular method described in Athanasius Kircher's comprehensive 1650 work on music, the Musurgia Vniversalis. The purpose is to generate counterpoint combinations. Also mentioned in early editions of the Encyclopædia Britannica, it is best described by the author's caption: "wonderful table that reveals all the secret art of counterpoint". (Wikipedia).

If the Laplacian of a function is zero everywhere, it is called Harmonic. Harmonic functions arise all the time in physics, capturing a certain notion of "stability", whenever one point in space is influenced by its neighbors.

From playlist Fourier

Harmonic Oscillator | Classical Mechanics Introduction

In this video, we will talk about the harmonic oscillator in classical mechanics. The term "harmonic oscillator" refers to any kind of motion where we have a linear force trying to pull the object back to equilibrium. Contents: 00:00 Introduction 00:34 Differential Equation 01:13 Soluti

From playlist Classical Mechanics

Euler-Mascheroni VII: Series Representations of the Harmonic Numbers

Channel social media: Instagram: @whatthehectogon https://www.instagram.com/whatthehect... Twitter: @whatthehectogon https://twitter.com/whatthehectogon Any questions? Leave a comment below or email me at the misspelled whatthehectagon@gmail.com Here we take the discrete route, rather

From playlist Analysis

From playlist Fall 2020 Course

B03 Simple harmonic oscillation

Explaining simple (idealised) harmonic oscillation, through a second-order ordinary differential equation.

From playlist Physics ONE

Let's Learn Physics: All About Oscillators

Harmonic oscillators are incredibly fundamental to almost all areas of physics. But how do we deal with systems that have more than one harmonic oscillators which all talk to each other? In this stream, we will discuss how to solve systems of coupled harmonic oscillators using the method o

From playlist Let's Learn (Classical) Physics: ZAP Physics Livestreams

The Gerbert abacus, designed by Gerbert d'Aurillac in the late 900s AD. It's a counting board with counters marked with arabic numerals. This is episode 43 of my series about antique calculating devices. Chris Staecker webarea: http://cstaecker.fairfield.edu/~cstaecker End song insp

From playlist Calculating Devices Review / HowTos

Euler-Mascheroni VI: An Integral Representation of the Harmonic Numbers

Channel social media: Instagram: @whatthehectogon https://www.instagram.com/whatthehect... Twitter: @whatthehectogon https://twitter.com/whatthehectogon Any questions? Leave a comment below or email me at the misspelled whatthehectagon@gmail.com In this video, I prepare my next barrag

From playlist Analysis

Sharp Elsi Mate model EL-429 Review / HowTo

The Sharp Elsimate calculator model EL-429, from 1978. It's an electronic calculator with attached soroban (abacus). This is episode 49 of my video series about calculating devices. End song inspired by "Hotter than a molotov" by The Coup. #soroban #calculator

From playlist Calculating Devices Review / HowTos

Star Trek: Picard (Math Props)

Math Props from Star Trek Picard S2E4 "The Watcher", first aired in March 2022. A russian abacus, somehow abandoned in pre-war France. Please comment if you know of any other math props in film or TV! Curta image CC-BY-SA-3.0 France by Wikimedia user Rama. #fascinating

From playlist Math Props

Japan's ancient secret to better cognitive memory - BBC REEL

The centuries-old abacus, once a common tool in many countries, has now been abandoned around the world. But in Japan, thousands of students are still taught proficiency on the abacus. Advocates argue that sliding the beads up and down with your fingers and then thinking with your brain c

From playlist Reel World

Calculator Sticks from the 1600s

Napier's bones, invented in the 1600s. They multiply a big number times a single digit. This is episode 8 of my video series about calculating devices. Chris Staecker webarea: http://cstaecker.fairfield.edu/~cstaecker Page about the bones: http://cstaecker.fairfield.edu/~cstaecker/bones

From playlist Calculating Devices Review / HowTos

Learn How To Use Abacus Functions - Without An Abacus! | Numbers | Maths | FuseSchool

Don't you have an abacus to order numbers? With the help of this video, you will be able to use the functions of an abacus without needing the abacus itself!

From playlist MATHS: Numbers

Why Pretty Much Everything is a Harmonic Oscillator

Here we discuss why the harmonic oscillator is such an important and ubiquitous system. We give a basic summary of classical mechanics and attempt to both sketch a rigorous idea and focus on the connections that can be found between systems using mathematics. 0:00 - Introduction 2:23 - Ma

From playlist Summer of Math Exposition 2 videos

867 times 309 REVEALED fifteen ways

Finally, modern mathematics has allowed us to compute 867 times 309. 0:00 - Intro 0:27 - Hello Kitty Calculator 0:37 - Long multiplication 0:50 - Chinese abacus 1:20 - Burroughs Adding Machine (Class 3) 1:55 - Victor 10-key (700 Series) 2:19 - Slide rule (K&E) 2:39 - Lattice multiplicati

From playlist Calculating Devices Review / HowTos

Mathematical Visualization | The Power of Place Value | The Great Courses Free Lecture

The most powerful visual tool of mathematics was invented around the same time as paper. Of course, the most powerful visual tool of place value can be written ON paper—when your paycheck is for $200 instead of $2,000. Check your decimals (and your heartrate); this video covers both. Pres

From playlist Math and Statistics

NUMBERS: "0", God's Gesture | Five numbers that changed the world | Cool Math

NUMBERS - secrets of Math. Mathematics is shrouded behind a veil and does not easily reveal itself. Students resort to rote memorization of math formulas to solve problems in a boring exercise of the mind that is also repetitive. However, if you knew the history of mathematics, the way the

From playlist Civilization

Learn How To Order Large Numbers Using Place Value | Numbers | Maths | FuseSchool

Learn how to order large numbers using place value! The virtual school is more than just a multimedia revision help. Teachers and students alike can access our content, connect and collaborate in our award-winning social learning environment and gain access to fascinating and exciting fun

From playlist MATHS: Numbers

Linear ODEs with Constant Coefficients: The Harmonic Oscillator

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 Partial Differential Equations