Arithmetic | Mathematical tools

Arithmetic rope

The arithmetic rope, or knotted rope, was a widely used in the Middle Ages that could be used to solve many mathematical and geometrical problems. An arithmetic rope generally has at least 13 knots—therefore, it is often called thirteen-knot-rope—placed at equal intervals. More knots were beneficial, especially for multiplication and division. In medieval architecture, the knotted rope was indispensable for architects, because it allowed the construction of equilateral and right-angled triangles, as well as circles. In the depiction of the liberal arts in Hortus deliciarum, the allegory of arithmetics is a female figure with a knotted rope. (Wikipedia).

Arithmetic rope
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What is an arithmetic sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

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What is the definition of an arithmetic sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

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What are the formulas for arithmetic and geometric sequences

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

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What is the alternate in sign sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

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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

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Louis Kauffman - Rope Tricks & Topology - G4G13 Apr 2018

Many remarkable rope tricks are of equal interest as magic and as demonstrations of interesting topological and physical phenomena. This talk will demonstrate intriguing examples of this genre including the classic Chefalo Knot Trick, the Vanishing Chain Stitch, and the Dirac String Trick.

From playlist G4G13 Videos

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What is the definition of a geometric sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

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What is the formula to find the sum of an arithmetic sequence

👉 Learn all about series. A series is the sum of the terms of a sequence. Just like in sequences, there are many types of series, among which are: arithmetic and geometric series. An arithmetic series is the sum of the terms of an arithmetic sequence. A geometric series is the sum of the t

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Iwasawa Theory for Unitary Groups - Xin Wan

Xin Wan Princeton University; Member, School of Mathematics October 4, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Finding Work using Calculus - The Cable/Rope Problem

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding Work using Calculus - The Cable/Rope Problem. In this video, I find the work required to lift a rope to the top of a building.

From playlist All Videos - Part 7

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What is a sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

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The discrete logarithm problem | Journey into cryptography | Computer Science | Khan Academy

A mathematical lock using modular arithmetic Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/modern-crypt/v/diffie-hellman-key-exchange-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.kha

From playlist Journey into cryptography | Computer Science | Khan Academy

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Tiago Hirth - On the Power of Numbers - A Study Guide - CoM Oct 2021

In 1502 (± 6) Luca Pacioli put together his De Viribus Quantitatis, a compendium of mathematical recreations and much more. It is the first collection of its size we know of. Meant for print, it was left in the calligraphy of an amanuensis until the 20th century. Together we’ll explore a

From playlist Celebration of Mind 2021

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Public Key Cryptography: Diffie-Hellman Key Exchange (short version)

This is a segment of this full video: https://www.youtube.com/watch?v=YEBfamv-_do Diffie-Hellman key exchange was one of the earliest practical implementations of key exchange within the field of cryptography. It relies on the discrete logarithm problem. This test clip will be part of the

From playlist Cryptography, Security

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[BOURBAKI 2018] 23/06/2018 - 1/4 - Matthew MORROW

Matthew MORROW La courbe de Fargues–Fontaine et les diamants, d’après Fargues–Fontaine et Scholze « La courbe » éponyme a été introduite par Fargues et Fontaine en 2009 pour réinterpréter d’un point de vue plus géométrique des aspects de la théorie de Hodge p-adique, notamment l’algèbre (

From playlist BOURBAKI - 2018

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Marcus du Sautoy on John Tates' work

Marcus Peter Francis du Sautoy is a British mathematician, author, and populariser of science and mathematics. You can view more content of Marcus du Sautoy here: https://www.youtube.com/channel/UCYF21Xc9fSdqVWRxpBAOleQ/featured This video is a clip from the Abel Prize Announcement 2009

From playlist Popular presentations

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Theoretische Newton Mechanik: Rutschendes Seil

Englische Version: https://youtu.be/E-gel6qHc4U Zerlegung einer Funktion: https://www.youtube.com/watch?v=DtbNmk6FVqY Heute lernen wir, wie wir die Newtonsche Bewegungsgleichung eines Seils aufstellt, welches über die Kante eines Tisches gleitet. Wir nutzen hierzu den Kräfteansatz und lös

From playlist Theoretische Mechanik

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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

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What is arithmetic sequences and how do we determine them

👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque

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Learn how to write the explicit formula given two values of an arithmetic sequence

👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence

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Division (mathematics) | Multiplication | Addition | Geometry | Right angle | Equilateral triangle | Subtraction | Circle | Remainder