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Moving frame information


The Frenet–Serret frame on a curve is the simplest example of a moving frame.

In mathematics, a moving frame is a flexible generalization of the notion of an ordered basis of a vector space often used to study the extrinsic differential geometry of smooth manifolds embedded in a homogeneous space.

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Moving frame

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In mathematics, a moving frame is a flexible generalization of the notion of an ordered basis of a vector space often used to study the extrinsic differential...

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Frame

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steel frame that limits the construction's extent. Frame and FRAME may also refer to: Framing (construction), a building term known as light frame construction...

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Frame of reference

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relationship between a moving observer and the phenomenon under observation. In this context, the term often becomes observational frame of reference (or observational...

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Darboux frame

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frame is a natural moving frame constructed on a surface. It is the analog of the Frenet–Serret frame as applied to surface geometry. A Darboux frame...

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Spacetime

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assuming that frame S′ is moving at velocity v with respect to frame S, then within frame S′, observer O′ measures an object moving with velocity u′...

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Angular velocity

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intermediate frame: One axis of the reference frame (the precession axis) The line of nodes of the moving frame with respect to the reference frame (nutation...

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Inertial frame of reference

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fact moving. According to the special principle of relativity, all physical laws look the same in all inertial reference frames, and no inertial frame is...

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Geometric integrator

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are two examples of geometric (in fact, symplectic) integrators. The moving frame method can be used to construct numerical methods which preserve Lie...

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Spacetime diagram

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but measuring the other as moving with speeds ±v are said to be in standard configuration, when: The x, y, z axes of frame S are oriented parallel to...

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Kinematics

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the moving frame M); and A O = d ¨ {\displaystyle \mathbf {A} _{O}={\ddot {\mathbf {d} }}} is the acceleration of the origin of the moving frame M. Kinematic...

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Time dilation

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frame of reference, a clock that is moving relative to the observer will be measured to tick more slowly than a clock at rest in the observer's frame...

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Film frame

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production, animation, and related fields, a frame is one of the many still images which compose the complete moving picture. The term is derived from the historical...

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Frame rate

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shutters to give 72 images per second—each frame is flashed on screen three times. In drawn animation, moving characters are often shot "on twos", that...

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Length contraction

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that a moving object's length is measured to be shorter than its proper length, which is the length as measured in the object's own rest frame. It is...

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Rest frame

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rest frame of a particle is the frame of reference (a coordinate system attached to physical markers) in which the particle is at rest. The rest frame of...

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Euler angles

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coordinate system XYZ, solidary with the moving body, which changes its orientation with respect to the extrinsic frame after each elemental rotation). In the...

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Glasses

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sunglasses can be used. The double frame uplifting glasses have one moving frame with one pair of lenses and the basic fixed frame with another pair of lenses...

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Orthonormal frame

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orthonormal with respect to the bilinear form gP. Frame (linear algebra) Frame bundle k-frame Moving frame Frame fields in general relativity Lee, John (2013)...

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Moving magnet and conductor problem

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conductor moving with constant velocity, v, with respect to a magnet is calculated in the frame of reference of the magnet and in the frame of reference...

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Motion

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Another reference frame is provided by the Cosmic microwave background. This frame of reference indicates that the Milky Way is moving at around 582 kilometres...

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Proper frame

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proper frame, or comoving frame, is a frame of reference that is attached to an object. The object in this frame is stationary within the frame, which...

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Elastic collision

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objects moving much slower than the speed of light, total momentum of the two colliding bodies is frame-dependent. In the center of momentum frame, according...

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Lorentz transformation

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the origins coinciding at t=t′=0, where the primed frame is seen from the unprimed frame as moving with speed v along the x-axis, where c is the speed...

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Differentiable curve

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the most important tools used to analyze a curve is the Frenet frame, a moving frame that provides a coordinate system at each point of the curve that...

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Computer animation

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system into seeing a smoothly moving object, the pictures should be drawn at around 12 frames per second or faster. (A frame is one complete image.) With...

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Kinetic energy

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conserved over time, regardless of the choice of reference frame. Different observers moving with different reference frames would however disagree on...

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