Generalised Substitutions - meaning and definition. What is Generalised Substitutions
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What (who) is Generalised Substitutions - definition

PARAMETERS THAT DESCRIBE THE CONFIGURATION OF THE SYSTEM RELATIVE TO SOME REFERENCE CONFIGURATION
Generalized coordinate; Generalized Coordinate; Generalized velocities; Generalized velocity; Generalised velocity; Generalised velocities; Gaussian coordinates; Generalised coordinates
  • '''N'''}} in this case is gravity. Notice the initial position of the wire can lead to different motions.
  • A [[double pendulum]]
  • '''N'''}} in this case is gravity.
  • Dynamic model of a simple pendulum.
  • Spherical pendulum: angles and velocities.

Generalised beam theory         
  • Gbt3
  • Illustration of GBT membrane displacement field
ENGINEERING THEORY
Draft:GBT - Generalised Beam Theory; Draft:GBT - Generalised beam theory
In structural engineering and mechanical engineering, generalised beam theory (GBT) is a one-dimensional theory used to mathematically model how beams bend and twist under various loads. It is a generalization of classical Euler–Bernoulli beam theory that approximates a beam as an assembly of thin-walled plates that are constrained to deform as a linear combination of specified deformation modes.
Generalized epilepsy         
EPILEPSY SYNDROME THAT IS CHARACTERISED BY GENERALISED SEIZURES WITH NO APPARENT CAUSE WHICH ARISE FROM INDEPENDENT FOCI OR EPILEPTIC CIRCUITS THAT INVOLVE THE WHOLE BRAIN
Epilepsy, generalized; Generalised seizure; Generalized seizures; Generalized seizure; Generalised seizures; Primary generalised epilepsy; Primary Generalized epilepsy; Generalised epilepsy
Generalized epilepsy is a form of epilepsy characterised by generalised seizures with no apparent cause. Generalized seizures, as opposed to focal seizures, are a type of seizure that impairs consciousness and distorts the electrical activity of the whole or a larger portion of the brain (which can be seen, for example, on electroencephalography, EEG).
Generalised Hough transform         
  • Geometry of shape detection for generalized Hough transform
MODIFICATION OF THE HOUGH TRANSFORM USING THE PRINCIPLE OF TEMPLATE MATCHING
Generalised Hough Transform; Generalised hough transform; Generalized Hough transform; Pose clustering; Hough forest
The generalized Hough transform (GHT), introduced by Dana H. Ballard in 1981, is the modification of the Hough transform using the principle of template matching.

Wikipedia

Generalized coordinates

In analytical mechanics, generalized coordinates are a set of parameters used to represent the state of a system in a configuration space. These parameters must uniquely define the configuration of the system relative to a reference state. The generalized velocities are the time derivatives of the generalized coordinates of the system. The adjective "generalized" distinguishes these parameters from the traditional use of the term "coordinate" to refer to Cartesian coordinates.

An example of a generalized coordinate would be to describe the position of a pendulum using the angle of the pendulum relative to vertical, rather than by the x and y position of the pendulum.

Although there may be many possible choices for generalized coordinates for a physical system, they are generally selected to simplify calculations, such as the solution of the equations of motion for the system. If the coordinates are independent of one another, the number of independent generalized coordinates is defined by the number of degrees of freedom of the system.

Generalized coordinates are paired with generalized momenta to provide canonical coordinates on phase space.