invariance under transformation

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• invariance — noun 1. the quality of being resistant to variation • Syn: ↑invariability, ↑invariableness • Ant: ↑variableness (for: ↑invariableness), ↑variability (for …   Useful english dictionary

• Scale invariance — In physics and mathematics, scale invariance is a feature of objects or laws that do not change if length scales (or energy scales) are multiplied by a common factor. The technical term for this transformation is a dilatation (also known as… …   Wikipedia

• Galilean invariance — or Galilean relativity is a principle of relativity which states that the fundamental laws of physics are the same in all inertial frames. Galileo Galilei first described this principle in 1632 in his Dialogue Concerning the Two Chief World… …   Wikipedia

• Lorentz transformation — A visualisation of the Lorentz transformation (full animation). Only one space coordinate is considered. The thin solid lines crossing at right angles depict the time and distance coordinates of an observer at rest with respect to that frame; the …   Wikipedia

• Objectivity (frame invariance) — The concept of objectivity in science means that qualitative and quantitative descriptions of physical phenomena remain unchanged when the phenomena are observed under a variety of conditions. For example, physical processes (e.g. material… …   Wikipedia

• Canonical transformation — In Hamiltonian mechanics, a canonical transformation is a change of canonical coordinates (mathbf{q}, mathbf{p}, t) ightarrow (mathbf{Q}, mathbf{P}, t) that preserves the form of Hamilton s equations, although it might not preserve the… …   Wikipedia

• Weyl transformation — See also Weyl quantization, for another definition of the Weyl transform. In theoretical physics, the Weyl transformation is a local rescaling of the metric tensor::g {ab} ightarrow g {ab} exp(2omega(x))The invariance of a theory or an expression …   Wikipedia

• Bertrand's paradox (probability) — Bertrand s paradox is a problem within the classical interpretation of probability theory. Consider an equilateral triangle inscribed in a circle. Suppose a chord of the circle is chosen at random. What is the probability that the chord is longer …   Wikipedia

• Robert H. Dicke — Robert Henry Dicke Born May 6, 1916(1916 05 06) St. Louis, Missouri Died March 4, 1997(1997 03 04) (aged 80 …   Wikipedia

• Дикке, Роберт — Роберт Генри Дикке Robert Henry Dicke Дата рождения …   Википедия

• Introduction to gauge theory — This article is an accessible, non technical introduction to the subject. For the main encyclopedia article, see Gauge theory. Quantum field theory …   Wikipedia