• Invariance theorem may refer to: Invariance of domain, a theorem in topology A theorem pertaining to Kolmogorov complexity A result in classical mechanics...
    413 bytes (65 words) - 11:02, 22 June 2023
  • Invariance of domain is a theorem in topology about homeomorphic subsets of Euclidean space R n {\displaystyle \mathbb {R} ^{n}} . It states: If U {\displaystyle...
    8 KB (1,185 words) - 10:57, 24 May 2025
  • CPT symmetry (redirect from CPT invariance)
    which T-parity can be a complex number with unit radius. The CPT invariance is not a theorem but a better to have property in these class of theories. This...
    11 KB (1,314 words) - 23:46, 11 May 2025
  • Thumbnail for Noether's theorem
    expressed as a continuity equation. The formal proof of the theorem utilizes the condition of invariance to derive an expression for a current associated with...
    71 KB (11,807 words) - 09:51, 18 July 2025
  • Thumbnail for Kolmogorov complexity
    the effect of changing languages is bounded (a result called the invariance theorem, see below). There are two definitions of Kolmogorov complexity: plain...
    60 KB (7,896 words) - 07:35, 21 July 2025
  • Thumbnail for Donsker's theorem
    probability theory, Donsker's theorem (also known as Donsker's invariance principle, or the functional central limit theorem), named after Monroe D. Donsker...
    8 KB (1,090 words) - 08:08, 13 July 2025
  • the key theorems characterizing the topology of Euclidean spaces, along with the Jordan curve theorem, the hairy ball theorem, the invariance of dimension...
    61 KB (8,516 words) - 02:13, 21 July 2025
  • Thumbnail for Algorithmic probability
    machine-invariant within a constant factor (called the invariance theorem). Kolmogorov's Invariance theorem clarifies that the Kolmogorov Complexity, or Minimal...
    20 KB (2,734 words) - 12:28, 2 August 2025
  • generalized Kolmogorov complexity. Instead of proving similar theorems, such as the basic invariance theorem, for each particular measure, it is possible to easily...
    38 KB (4,498 words) - 02:51, 17 July 2025
  • Coase theorem (/ˈkoʊs/) postulates the economic efficiency of an economic allocation or outcome in the presence of externalities. The theorem is significant...
    44 KB (6,081 words) - 20:34, 12 July 2025
  • In linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented...
    25 KB (3,852 words) - 23:00, 22 April 2025
  • Thumbnail for Euler's rotation theorem
    In geometry, Euler's rotation theorem states that, in three-dimensional space, any displacement of a rigid body such that a point on the rigid body remains...
    30 KB (4,497 words) - 18:43, 22 April 2025
  • Koestler, Claus; Speicher, Roland (2009). "A noncommutative de Finetti theorem: Invariance under quantum permutations is equivalent to freeness with amalgamation"...
    18 KB (2,571 words) - 11:09, 17 April 2025
  • local Atiyah–Singer index theorem", Topology, 25: 111–117, doi:10.1016/0040-9383(86)90008-X Gilkey, Peter B. (1994), Invariance Theory, the Heat Equation...
    53 KB (7,553 words) - 19:23, 20 July 2025
  • generalized Stokes theorem (sometimes with apostrophe as Stokes' theorem or Stokes's theorem), also called the Stokes–Cartan theorem, is a statement about...
    35 KB (4,822 words) - 00:07, 25 November 2024
  • In lattice field theory, the Nielsen–Ninomiya theorem is a no-go theorem about placing chiral fermions on a lattice. In particular, under very general...
    10 KB (1,230 words) - 05:01, 26 May 2025
  • In physics, mathematics and statistics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables...
    32 KB (4,486 words) - 01:39, 2 June 2025
  • algorithmic information. Instead of proving similar theorems, such as the basic invariance theorem, for each particular measure, it is possible to easily...
    24 KB (2,817 words) - 06:11, 31 July 2025
  • Thumbnail for Gauge theory
    especially in the theory of G-structures. Incidentally, Noether's theorem implies that invariance under this group of transformations leads to the conservation...
    48 KB (6,839 words) - 06:41, 18 July 2025
  • Thumbnail for L. E. J. Brouwer
    proved a number of theorems in the emerging field of topology. The most important were his fixed point theorem, the topological invariance of degree, and...
    21 KB (2,328 words) - 06:00, 30 June 2025
  • preserves the size, and thus parity, of any of its subsets. Theorem 2.3, group invariance theorem—If Φ {\textstyle \Phi } is closed under action by G {\textstyle...
    37 KB (5,184 words) - 13:04, 8 June 2025
  • (rational canonical form) Sylvester's law of inertia – Theorem of matrix algebra of invariance properties under basis transformations Classification of...
    5 KB (604 words) - 04:52, 15 September 2024
  • physical results. Among the assumptions that lead to Haag's theorem is translation invariance of the system. Consequently, systems that can be set up inside...
    14 KB (1,594 words) - 19:19, 24 July 2025
  • time-reversal invariance followed a proof by Frederik Belinfante in 1940 based on charge-conjugation invariance, leading to a connection to the CPT theorem more...
    25 KB (3,192 words) - 17:51, 25 June 2025
  • In quantum mechanics, Kramers' theorem or Kramers' degeneracy theorem states that for every energy eigenstate of a time-reversal symmetric system with...
    8 KB (1,150 words) - 02:57, 18 July 2025
  • LaSalle's invariance principle (also known as the invariance principle, Barbashin-Krasovskii-LaSalle principle, or Krasovskii-LaSalle principle) is a criterion...
    11 KB (1,436 words) - 15:35, 16 March 2025
  • Sitter background or non-relativistic field theories with Galilean invariance, the theorem no longer applies. It also does not hold for discrete symmetries...
    13 KB (1,503 words) - 15:32, 24 June 2025
  • lowest-order change in the area enclosed by the orbit. This is the adiabatic invariance theorem – the action variables are adiabatic invariants. For a harmonic oscillator...
    20 KB (3,423 words) - 06:19, 17 April 2024
  • Thumbnail for Symmetry (physics)
    spacetime known as the Poincaré group. Another important example is the invariance of the form of physical laws under arbitrary differentiable coordinate...
    27 KB (3,283 words) - 17:51, 11 March 2025
  • Thumbnail for Poincaré group
    Poincaré invariance or relativistic invariance. 10 generators (in four spacetime dimensions) associated with the Poincaré symmetry, by Noether's theorem, imply...
    15 KB (2,173 words) - 17:06, 23 July 2025