Search results
Results from the WOW.Com Content Network
Any object will keep the same shape and size after a proper rigid transformation. All rigid transformations are examples of affine transformations. The set of all (proper and improper) rigid transformations is a mathematical group called the Euclidean group, denoted E(n) for n-dimensional Euclidean spaces. The set of rigid motions is called the ...
In particle physics, rigidity is a measure of the resistance of a particle to deflection by magnetic fields, defined as the particle's momentum divided by its charge. For a fully ionised nucleus moving at relativistic speed, this is equivalent to the energy per atomic number.
Rigidity (electromagnetism), the resistance of a charged particle to deflection by a magnetic field; Rigidity (mathematics), a property of a collection of mathematical objects (for instance sets or functions) Rigid body, in physics, a simplification of the concept of an object to allow for modelling
The above relativistic transformations suggest the electric and magnetic fields are coupled together, in a mathematical object with 6 components: an antisymmetric second-rank tensor, or a bivector. This is called the electromagnetic field tensor, usually written as F μν. In matrix form: [13]
The information in this section can be found in. [1] The rigidity matrix can be viewed as a linear transformation from | | to | |.The domain of this transformation is the set of | | column vectors, called velocity or displacements vectors, denoted by ′, and the image is the set of | | edge distortion vectors, denoted by ′.
In physics, a rigid body, also known as a rigid object, [2] is a solid body in which deformation is zero or negligible. The distance between any two given points on a rigid body remains constant in time regardless of external forces or moments exerted on it. A rigid body is usually considered as a continuous distribution of mass.
TPS has been widely used as the non-rigid transformation model in image alignment and shape matching. [6] An additional application is the analysis and comparisons of archaeological findings in 3D [7] and was implemented for triangular meshes in the GigaMesh Software Framework. [8]
A gauge transformation with constant parameter at every point in space and time is analogous to a rigid rotation of the geometric coordinate system; it represents a global symmetry of the gauge representation. As in the case of a rigid rotation, this gauge transformation affects expressions that represent the rate of change along a path of some ...