Fields of abstract algebra

Wheel theory

A wheel is a type of algebra (in the sense of universal algebra) where division is always defined. In particular, division by zero is meaningful. The real numbers can be extended to a wheel, as can any commutative ring. The term wheel is inspired by the topological picture of the projective line together with an extra point ⊥ (bottom element) such as . A wheel can be regarded as the equivalent of a commutative ring (and semiring) where addition and multiplication are not a group but respectively a commutative monoid and a commutative monoid with involution. (Wikipedia).

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Physical Science 4.4a - The Wheel and Axle

An explanation of the simple machine known as the wheel and axle. The mechanical advantage and the trade off between force and distance is discussed in this and in the following videos.

From playlist Physical Science Chapter 4

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Trigonometry - Working with linear and angular speed

When working with wheels its important to recognize that there is a connection between linear and angular speed. This video will show a few example on using the formula v = rw for finding either linear speed or angular speed. Near the end we also cover how to covert unit which is useful

From playlist Trigonometry

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AWESOME Physics demonstrations. Wheel race (explaining simply)!

The concept of moment of inertia is demonstrated by rolling different bodies down an inclined plane (explaining simply).

From playlist MECHANICS

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THE MAKING(English Version) (314)The Making of Steel Balls

This edition of the series of programs explaining the technology used to produce items that are familiar in our daily life features ‘Steel Balls’. A bicycle wheel spins smoothly because the wheel axle contains ball bearings. The steel balls inside the ball bearing must be close to perfectl

From playlist Engineering

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The Perfect Road for a Square Wheel and How to Design It

How do you design a road that a square wheel will roll smoothly over? And what about other wheel shapes? How do you even approach such a problem? =Chapters= 0:00 - Intro 1:36 - The Dynamics of Rolling 4:05 - Vertical Alignment Property 7:16 - Stationary Rim Property 8:29 - Describing the

From playlist The Wonderful World of Weird Wheels

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Physics 11.1 Rigid Body Rotation (4 of 10) Calculating Acceleration & Friction of a Car Tire

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and calculate the acceleration and friction of the tire of a car.

From playlist PHYSICS 11 ROTATIONAL MOTION

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Physics, Torque (6 of 13) Compound Wheel

Shows how to calculate the individual torques and net torque produced by forces applied to a compound wheel. Torque is a rotating force. It is a measure of how much force is acting on an object that causes the object to rotate. The object will rotate about an axis, which is called the piv

From playlist Torque and Static Equilibrium

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Concept of a vector

This shows an small game that illustrates the concept of a vector. The clip is from the book "Immersive Linear Algebra" at http://www.immersivemath.com

From playlist Chapter 2 - Vectors

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A Beautiful Algorithm for the Primes

What's the fastest algorithm for generating the prime sequence? Watch a frat bro hunch over a notebook and find out! . . . Walkthrough (pause, then use “,” and “.” keys to step): https://www.youtube.com/watch?v=GxgGMwLfTjE&t=4s Computing the primes up to 40,000 (also pause and use "," and

From playlist Summer of Math Exposition 2 videos

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Francis BROWN - Graph Complexes, Invariant Differential Forms and Feynman integrals

Kontsevich introduced the graph complex GC2 in 1993 and raised the problem of determining its cohomology. This problem is of renewed importance following the recent work of Chan-Galatius-Payne, who related it to the cohomology of the moduli spaces Mg of curves of genus g. It is known by Wi

From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

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AWESOME Bicycle wheel gyroscope (science experiments)

Physics (la physique)(science experiments)

From playlist MECHANICS

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Bootstrapping the lattice Yang-Mills theory by Zechuan Zheng

PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II

From playlist NUMSTRING 2022

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Donald Hoffman on Consciousness and Conscious Agents | Closer To Truth Chats

Donal Hoffman discusses his theory of consciousness and conscious agents, and how this theory affects everything from artificial intelligence to alien life and the Fermi Paradox. Donald Hoffman's Website: http://www.cogsci.uci.edu/~ddhoff/ Follow Donald Hoffman on Twitter @donalddhoffman

From playlist Closer To Truth Chats

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Extracting Eersatile Active Particle Dynamics from a Self-Propelled Programmable... by Nitin Kumar

DISCUSSION MEETING 8TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS: Ranjini Bandyopadhyay (RRI, India), Abhishek Dhar (ICTS-TIFR, India), Kavita Jain (JNCASR, India), Rahul Pandit (IISc, India), Samriddhi Sankar Ray (ICTS-TIFR, India), Sanjib Sabhapandit (RRI, India) and Prer

From playlist 8th Indian Statistical Physics Community Meeting-ispcm 2023

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Spin Until You Lose - Probability Riddle

You spin a wheel and it randomly lands on $1, $2, or END. If you land on $1 or $2, you bank the money and spin the wheel again. You keep spinning until you land on END, at which point you cash out the money you banked. How much do you expect to win on average? What if the wheel has values

From playlist Statistics And Probability

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Falling cat demonstrations go sour by Andy Ruina

COLLOQUIUM : FALLING CAT DEMONSTRATIONS GO SOUR SPEAKER: Andy Ruina (Cornell University, US) DATE: Mon, 25 April 2022, 15:30 to 17:00 VENUE: Online and Ramanujan Lecture Hall ABSTRACT There are two classes of interesting, at least to me, physical behavior that follow from the impossibi

From playlist ICTS Colloquia

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Matrix Models, Gauge-Gravity Duality, and Simulations on the Lattice (Lecture 4) by Georg Bergner

PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II

From playlist NUMSTRING 2022

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Why is a bicycle easier to balance at speed? | James May's Q&A | Head Squeeze

Why is riding a bike at speed easier than falling off one? Subscribe: http://bit.ly/SubscribeToEarthLab Gyroscopic force: http://www.howstuffworks.com/gyroscope1.htm Longest ramp jump on a mini bike: http://www.guinnessworldrecords.com/world-records/4000/longest-ramp-jump-on-a-mini-bike-(

From playlist James May's Q&A

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15 Angular momentum and torque example problem 1 part 2

Part 2 of the example problem showing what a difference a reference point makes to angular momentum and torque.

From playlist Life Science Math: Vectors

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Ohad Kammar: An introduction to statistical modelling semantics with higher-order measure theory

HYBRID EVENT Recorded during the meeting "Logic of Probabilistic Programming" February 04, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiov

From playlist Probability and Statistics

Related pages

Algebraic structure | Multiplicative function | Topology | Unary operation | Group (mathematics) | Identity element | Riemann sphere | Congruence relation | Universal algebra | Algebra | Division by zero | Projective line | | Equivalence class | Unit (ring theory) | Field (mathematics) | Real number | Involution (mathematics) | Subset | NaN | Semiring | Complex number | Binary operation | Circle | Monoid | Multiplicative inverse | Commutative ring