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  Encyclopedia of Keywords > Science > Mathematics > Geometry > Symmetry > Invariance   Michael Charnine

Keywords and Sections
ANALYSIS
NON-INVARIANCE
EXTERIOR DERIVATIVE
GENERAL COVARIANCE
EQUIVARIANCE
LIGHT SPEED INVARIANCE
CHARGE INVARIANCE
FACTORIAL INVARIANCE
TOPOLOGICAL INVARIANCE
RELATIVISTIC INVARIANCE
POSITION INVARIANCE
SCALE INVARIANCE
DIFFEOMORPHISM INVARIANCE
LOCAL GAUGE INVARIANCE
DISCUSSION
UNDERSTANDING
ANSWER
PROPERTIES
INTRODUCTION
IDEAS
THEORIES
CLASS
NATURE
RELATIONSHIP
CONTINUOUS
TERMS
YIELD
RESULT
PROOFS
NOTION
ALGEBRA
DIRECTION
MOTION
INVARIANT
ACTION
PERMUTATION
MEASURE
QUANTITY
CLOCKS
VIOLATION
DIFFERENT TIMES
QUANTIZATION
QUARKS
RELATIVITY
ALBERT EINSTEIN
PROOF
Review of Short Phrases and Links

    This Review contains major "Invariance"- related terms, short phrases and links grouped together in the form of Encyclopedia article. Please click on Move Up to move good phrases up.

Definitions Submit/More Info Add a definition

  1. Invariance is specified mathematically by transformations that leave some quantity unchanged.
  2. This invariance is presented in the article on the theta representation of the Heisenberg group. (Web site) Move Up
  3. The CPT invariance is not a theorem but a better to have property in these class of theories. Move Up
  4. Galilean invariance is a principle which states that the fundamental laws of physics are the same in all inertial (uniform-velocity) frames of reference. Move Up
  5. Isospin invariance is absent in electromagnetic and weak interactions since they do depend on quark flavour. Move Up

Analysis Submit/More Info Add phrase and link

  1. However, because of the lack of invariance to componentwise change of scale, an analysis based on the correlation matrix is often preferred. (Web site)

Non-Invariance Move Up Add phrase and link

  1. Free modules; invariance of rank over a commutative ring; non-invariance in general.

Exterior Derivative Move Up Add phrase and link

  1. This shows the invariance of the exterior derivative when acting on one forms. (Web site)

General Covariance Move Up Add phrase and link

  1. General covariance is a subclass of gauge invariance. (Web site)

Equivariance Move Up Add phrase and link

  1. But the coefficient of variation is meaningless because it lacks such invariance or equivariance. (Web site)

Light Speed Invariance Move Up Add phrase and link

  1. The light spreading and light speed invariance are described by the Maxwell's equations, derived from Maxwell's Aether theory Of Light.
  2. The light speed invariance was derived from Maxwell's equation by Lorentz (the aetherist, too, BTW) without any need of ad-hoc postulate of reference frame. Move Up

Charge Invariance Move Up Add phrase and link

  1. Charge invariance refers to the fixed electrostatic potential of a particle, regardless of speed. (Web site)

Factorial Invariance Move Up Add phrase and link

  1. Meredith, W. (1993). Measurement invariance, factor analysis and factorial invariance. (Web site)

Topological Invariance Move Up Add phrase and link

  1. He founded modern topology by establishing, for example, the topological invariance of dimension and the fixpoint theorem. (Web site)

Relativistic Invariance Move Up Add phrase and link

  1. The relativistic invariance also follows immediately from the variational principle.
  2. At first sight this appears to break the relativistic invariance of the theory, which is paradoxical. (Web site) Move Up

Position Invariance Move Up Add phrase and link

  1. Position invariance therefore suggests an alternative role for MSTd cells in extracting motion patterns derived from object trajectories in space. (Web site)

Scale Invariance Move Up Add phrase and link

  1. In classical field theory, scale invariance most commonly applies to the invariance of a whole theory under dilatations. (Web site)
  2. In theoretical physics, conformal symmetry is a symmetry under dilatation (scale invariance) and under the special conformal transformations. Move Up

Diffeomorphism Invariance Move Up Add phrase and link

  1. The second step is to use the diffeomorphism invariance of the exterior derivative to try to isolate any other higher-order invariants of the G -structure.
  2. By applying the Noether procedure, the source 3-form a is shown to be connected with the diffeomorphism invariance of the Lagrangian. (Web site) Move Up

Local Gauge Invariance Move Up Add phrase and link

  1. Abstract: The quantum gravity is formulated based on principle of local gauge invariance.

Discussion Move Up Add phrase and link

  1. Following the development of this theory, there was much discussion in the literature of the role of gauge invariance. (Web site)

Understanding Move Up Add phrase and link

  1. An understanding of the quantum aspects of gauge invariance led to the development of relativistic quantum gauge field theory.

Answer Move Up Add phrase and link

  1. I may not be able to answer your concern, but saying the world has CPT invariance translates to only allowing terms in your Lagrangian with CPT invariance. (Web site)
  2. The answer has to be the same by gauge invariance, and so it had to work out, in hindsight. Move Up
  3. The point of the topological invariance of the Euler characteristic is that any dissection of that surface will give the same answer. (Web site) Move Up

Properties Move Up Add phrase and link

  1. Invariance The Hilbert transform has the following invariance properties. (Web site)

Introduction Move Up Add phrase and link

  1. In spite of the introduction of spontaneous symmetry-breaking, also for fermions the mass terms oppose the gauge invariance. (Web site)

Ideas Move Up Add phrase and link

  1. Next, we'll look at analogues of these ideas in quantum mechanics, again taking the example of translational invariance. (Web site)

Theories Move Up Add phrase and link

  1. It is a sophisticated method to deal with quantum physical theories with gauge invariance. (Web site)

Class Move Up Add phrase and link

  1. Invariance by perturbation is true for larger classes than the class of compact operators. (Web site)
  2. A thorough analysis is presented of the class of central fields of force that exhibit: (i) dimensional transmutation and (ii) rotational invariance. (Web site) Move Up

Nature Move Up Add phrase and link

  1. Our basic premise is that minuscule apparent violations of Lorentz and CPT invariance might be observable in nature. (Web site)
  2. This invariance feature suggests that a maximal-string tension principle may be operating in Nature. Move Up
  3. These violations of symmetry principles of nature (time-reversal and charge invariance) are not understood in any fundamental way. (Web site) Move Up

Relationship Move Up Add phrase and link

  1. Reducible gauge systems are discussed, and the relationship between BRST cohomology and gauge invariance is carefully explained. (Web site)

Continuous Move Up Add phrase and link

  1. The invariance of domain theorem states that a continuous and locally injective function between two n -dimensional topological manifolds must be open.

Terms Move Up Add phrase and link

  1. Basically, SR can be stated in terms of the invariance of space-time interval (between any two events) as seen from any inertial reference frame. (Web site)
  2. These latter studies quantified the failure of position invariance in terms of a reversal in direction selectivity when stimulus position was changed. (Web site) Move Up
  3. In quantum field theory, scale invariance has an interpretation in terms of particle physics. (Web site) Move Up

Yield Move Up Add phrase and link

  1. Making the requirement of rotational invariance more stringent for the cross product, we need the cross product of two vectors to yield another vector.

Result Move Up Add phrase and link

  1. Holography in this context is a result of the requirements of unitarity and diffeomorphism invariance.
  2. As a result, one needs to check the gauge invariance of every result obtained using a specific gauge fixing. (Web site) Move Up

Proofs Move Up Add phrase and link

  1. These proofs are based on the validity of Lorentz invariance and the Principle of locality in the interaction of quantum fields.

Notion Move Up Add phrase and link

  1. The notion of invariance is formalized in three different ways in mathematics: via group actions, presentations, and deformation.

Algebra Move Up Add phrase and link

  1. We present a general construction of the derived category of an algebra over an operad and establish its invariance properties.

Direction Move Up Add phrase and link

  1. In two dimensions, let the x 3 direction be the direction of invariance, and let the 3 curvilinear coordinate be identical with x 3.

Motion Move Up Add phrase and link

  1. Second postulate - Invariance of c - The speed of light in a vacuum is a universal constant, c, which is independent of the motion of the light source.

Invariant Move Up Add phrase and link

  1. Things which are invariant under this group are said to have Poincaré invariance or relativistic invariance. (Web site)

Action Move Up Add phrase and link

  1. The invariance of the action follows from the classical invariance of Maxwell's equations.

Permutation Move Up Add phrase and link

  1. In classical music, Bach used the symmetry concepts of permutation and invariance; see (external link "Fugue No. (Web site)

Measure Move Up Add phrase and link

  1. In the construction a given measure of the state space is summed for all future points of a trajectory, assuring the invariance. (Web site)

Quantity Move Up Add phrase and link

  1. The formal proof of the theorem uses only the condition of invariance to derive an expression for a current associated with a conserved physical quantity. (Web site)
  2. Another simple example of invariance is that the distance between two points on a number line is not changed by adding the same quantity to both numbers. (Web site) Move Up

Clocks Move Up Add phrase and link

  1. The second consequence of the invariance of the space-time interval is that clocks will appear to go slower on objects that are moving relative to you.

Violation Move Up Add phrase and link

  1. This requires, in addition to nonconservation, the violation of and (and hence) invariance, along with departures from thermal equilibrium.
  2. A. D. Sakharov, "Violation of CP invariance, C asymmetry and baryon asymmetry of the universe," Pisma Zh. (Web site) Move Up
  3. If CPT symmetry is to be preserved, the CP violation must be compensated by a violation of time reversal invariance. (Web site) Move Up

Different Times Move Up Add phrase and link

  1. The ability to repeat experiments at different places and at different times is based on the invariance of the laws of nature under space-time translations.

Quantization Move Up Add phrase and link

  1. It is the quantization of the Higgs boson and the IVBs that ensures the invariance of the weak force transformation mechanism. (Web site)

Quarks Move Up Add phrase and link

  1. Isospin symmetry is invariance under the interchange of u and d quarks.
  2. Isospin invariance follows from the fact that the strong interactions are independent of quark type, and so do not distinguish up quarks from down quarks. Move Up

Relativity Move Up Add phrase and link

  1. However, the word "relativity" is sometimes used in reference to Galilean invariance. (Web site)

Albert Einstein Move Up Add phrase and link

  1. Relativistic four-momentum as proposed by Albert Einstein arises from the invariance of four-vectors under Lorentzian translation. (Web site)

Proof Move Up Add phrase and link

  1. A proof for the homotopy invariance of singular homology groups can be sketched as follows.

Categories Submit/More Info

  1. Science > Mathematics > Geometry > Symmetry
  2. Lagrangian Move Up
  3. Transformations Move Up
  4. Theorem Move Up
  5. Domain Move Up

Related Keywords

    * Automorphisms * Change * Classical Mechanics * Consequence * Conservation * Conservation Law * Conservation Laws * Coordinates * Definition * Dimension * Domain * Electromagnetic Field * Energy * Equations * Field * Gauge Invariance * Gauge Symmetry * Gauge Theory * Gauge Transformations * General Relativity * Important Feature * Lagrangian * Law * Laws * Lorentz * Lorentzian * Lorentz Invariance * Mathematically * Past 100 Years * Principle * Space * Spacetime * Special Relativity * Symmetries * Symmetry * System * Tensors * Theorem * Theorems * Theory * Transformation * Transformations * Translation
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  Short phrases about "Invariance"
  Originally created: August 01, 2010.
  Links checked: January 23, 2013.
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