Clifford algebras

Twistor theory

In theoretical physics, twistor theory was proposed by Roger Penrose in 1967 as a possible path to quantum gravity and has evolved into a branch of theoretical and mathematical physics. Penrose proposed that twistor space should be the basic arena for physics from which space-time itself should emerge. It leads to a powerful set of mathematical tools that have applications to differential and integral geometry, nonlinear differential equations and representation theory and in physics to general relativity and quantum field theory, in particular to scattering amplitudes. Development seems to be indirectly influenced by Einstein–Cartan–Sciama–Kibble theory. (Wikipedia).

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Physics, Torque (1 of 13) An Explanation

Explains what torque is, the definition, how it is described and the metric units. Also presented are two examples of how to calculate the torque produced by a force. Torque is a turning force. It is a measure of how much force acting on an object that causes the object to rotate. The ob

From playlist Mechanics

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Math of the twisting somersault

Mathematical models can be used to obtain an understanding of the mechanics of twists during somersaults. The twisting somersault can be described by a formula, which factors in the airborne time of the diver, the time spent in various stages of the dive, the number of somersaults, the num

From playlist What is math used for?

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Physics, Torque (13 of 13) Static Equilibrium, Mobile Calculations

This video shows you how to calculate the mass and lever arm of the objects hanging on the mobile so that it will balance. 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

From playlist Torque and Static Equilibrium

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Physics, Torque (2 of 13) Force at Right Angle to Object

This video shows you how to calculate the torque produced by a force applied at a right angle to an object. 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 pivo

From playlist Torque and Static Equilibrium

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Physics, Torque (4 of 13) Force Not at Right Angle to the Object

Shows how to calculate the torque produced by a force that is applied at an able to the object. 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 pivot point. It

From playlist Torque and Static Equilibrium

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Visualization of Torques (Moments)

This video demonstrates the concept of Torque, a.k.a. Moment or Moment of force. Visit my homepage, https://www.udiprod.com/, or read about my latest book http://www.zutopedia.com Here are some notes: 1) Torques are often mentioned in context of engine power and transmission gears. Engi

From playlist Animated Physics Simulations

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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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Vector Calculus: Understanding Curl

Some formal and informal intuition regarding curl, a vector calculus concept.

From playlist Summer of Math Exposition Youtube Videos

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Fuzzy control of inverted pendulum

Fuzzy control of inverted pendulum, State-feedback controller is designed based on T-S fuzzy model with the consideration of system stability and performance.

From playlist Demonstrations

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Scattering Amplitudes and Positive Geometries at Infinity (Lecture 1) by Nima Arkani-Hamed

RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures

From playlist Recent Developments in S-matrix Theory (Online)

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Michael Eastwood: Twistor theory for LQG

Twistor Theory was proposed in the late 1960s by Roger Penrose as a potential geometric unification of general relativity and quantum mechanics. During the past 50 years, there have been many mathematical advances and achievements in twistor theory. In physics, however, there are aspirati

From playlist Mathematical Physics

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Soft theorem and its classical limit (Lecture 1) by Ashoke Sen

PROGRAM RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onlin

From playlist Recent Developments in S-matrix Theory (Online)

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Scattering Amplitudes and Positive Geometries at Infinity (Lecture 3) by Nima Arkani-Hamed

RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures

From playlist Recent Developments in S-matrix Theory (Online)

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Double soft theorems in generalized bi-adjoint scalars by Arnab Priya Saha

RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures

From playlist Recent Developments in S-matrix Theory (Online)

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Scattering Amplitudes and Positive Geometries at Infinity (Lecture 2) by Nima Arkani-Hamed

RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures

From playlist Recent Developments in S-matrix Theory (Online)

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New asymptotic conservation laws for electromagnetism by Sayali Bhatkar

PROGRAM RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online

From playlist Recent Developments in S-matrix Theory (Online)

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Scattering Amplitudes and Clusterhedra in Kinematic Space (Lecture 1) by Nima Arkani Hamed

RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures

From playlist Recent Developments in S-matrix Theory (Online)

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Ana-Maria Brecan: Deformation theory of twistor spaces of K3 surfaces​

Abstract: Twistor spaces of K3 surfaces are non-Kähler compact complex manifolds which play a fundamental role in the moduli theory of K3 surfaces. They come equipped with a holomorphic submersion to the complex projective line which under the period map corresponds to a twistor line in th

From playlist Algebraic and Complex Geometry

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PRIVÉ - Takuro Mochizuki - Mixed twistor D-modules and some examples

Abstract: In the study of mixed twistor D-modules, an important issue is to relate mixed twistor D-modules with concrete objects in various problems. Although we know that there exist many mixed twistor D-modules by an abstract existence theorem and by the functoriality, it is not easy to

From playlist Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday

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Physics, Torque (7 of 13) Static Equilibrium, Hanging Sign No. 1

Shows how to use static equilibrium to determine the tension in two cables supporting a hanging sign. The sum of the force in the x-direction and the sum of the forces in the y-direction are set equal to zero. Torque is a rotating force. It is a measure of how much force is acting on an

From playlist Mechanics

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Michael Atiyah | Polytope | Penrose transform | Supersymmetry | Spin network | Conformal group | String theory | Scattering amplitude | Hyperkähler manifold | Quantum group | Deformation (mathematics) | Complex manifold | Cohomology | Projective space | Spinor | Spin group | Grassmannian | Integrable system | Spin (physics) | Yang–Mills–Higgs equations | Critical dimension | Chirality (physics) | Homogeneous function | Amplituhedron | Minkowski space | Extended supersymmetry | Representation theory | Riemann surface | Twistor space | Ultraviolet completion | Pure spinor | Fermion | Conformal gravity | ADHM construction | Instanton | Noncommutative geometry | Čech cohomology | Einstein field equations | Metric signature | Differential geometry | Fundamental representation | Integral geometry | Supergravity | Volume form