Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Scale_invariance> ?p ?o }
- Scale_invariance abstract "In physics, mathematics, statistics, and economics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor. The technical term for this transformation is a dilatation (also known as dilation), and the dilatations can also form part of a larger conformal symmetry.In mathematics, scale invariance usually refers to an invariance of individual functions or curves. A closely related concept is self-similarity, where a function or curve is invariant under a discrete subset of the dilatations. It is also possible for the probability distributions of random processes to display this kind of scale invariance or self-similarity.In classical field theory, scale invariance most commonly applies to the invariance of a whole theory under dilatations. Such theories typically describe classical physical processes with no characteristic length scale.In quantum field theory, scale invariance has an interpretation in terms of particle physics. In a scale-invariant theory, the strength of particle interactions does not depend on the energy of the particles involved.In statistical mechanics, scale invariance is a feature of phase transitions. The key observation is that near a phase transition or critical point, fluctuations occur at all length scales, and thus one should look for an explicitly scale-invariant theory to describe the phenomena. Such theories are scale-invariant statistical field theories, and are formally very similar to scale-invariant quantum field theories.Universality is the observation that widely different microscopic systems can display the same behaviour at a phase transition. Thus phase transitions in many different systems may be described by the same underlying scale-invariant theory.In general, dimensionless quantities are scale invariant. The analogous concept in statistics are standardized moments, which are scale invariant statistics of a variable, while the unstandardized moments are not.".
- Scale_invariance thumbnail Wiener_process_animated.gif?width=300.
- Scale_invariance wikiPageID "695241".
- Scale_invariance wikiPageLength "31784".
- Scale_invariance wikiPageOutDegree "175".
- Scale_invariance wikiPageRevisionID "680821346".
- Scale_invariance wikiPageWikiLink Action_(physics).
- Scale_invariance wikiPageWikiLink Anomalous_scaling_dimension.
- Scale_invariance wikiPageWikiLink Asymptotic_expansion.
- Scale_invariance wikiPageWikiLink Attractor.
- Scale_invariance wikiPageWikiLink Autocorrelation.
- Scale_invariance wikiPageWikiLink Avalanche.
- Scale_invariance wikiPageWikiLink Beta-function.
- Scale_invariance wikiPageWikiLink Beta_function_(physics).
- Scale_invariance wikiPageWikiLink Biological_vision.
- Scale_invariance wikiPageWikiLink Blob_detection.
- Scale_invariance wikiPageWikiLink Brownian_motion.
- Scale_invariance wikiPageWikiLink Brownian_noise.
- Scale_invariance wikiPageWikiLink Category:Conformal_field_theory.
- Scale_invariance wikiPageWikiLink Category:Critical_phenomena.
- Scale_invariance wikiPageWikiLink Category:Scaling_symmetries.
- Scale_invariance wikiPageWikiLink Category:Symmetry.
- Scale_invariance wikiPageWikiLink Central_limit_theorem.
- Scale_invariance wikiPageWikiLink Chromatography.
- Scale_invariance wikiPageWikiLink Classical_field_theory.
- Scale_invariance wikiPageWikiLink Closure_(mathematics).
- Scale_invariance wikiPageWikiLink Computer_vision.
- Scale_invariance wikiPageWikiLink Conformal_anomaly.
- Scale_invariance wikiPageWikiLink Conformal_field_theory.
- Scale_invariance wikiPageWikiLink Conformal_symmetry.
- Scale_invariance wikiPageWikiLink Continuity_equation.
- Scale_invariance wikiPageWikiLink Corner_detection.
- Scale_invariance wikiPageWikiLink Correlation_function.
- Scale_invariance wikiPageWikiLink Cosmic_inflation.
- Scale_invariance wikiPageWikiLink Cosmic_microwave_background.
- Scale_invariance wikiPageWikiLink Coupling_constant.
- Scale_invariance wikiPageWikiLink Critical_exponent.
- Scale_invariance wikiPageWikiLink Critical_point_(thermodynamics).
- Scale_invariance wikiPageWikiLink Cumulant.
- Scale_invariance wikiPageWikiLink Curve.
- Scale_invariance wikiPageWikiLink Dielectric.
- Scale_invariance wikiPageWikiLink Differential_equation.
- Scale_invariance wikiPageWikiLink Differential_equations.
- Scale_invariance wikiPageWikiLink Diffusion.
- Scale_invariance wikiPageWikiLink Diffusion-limited_aggregation.
- Scale_invariance wikiPageWikiLink Dimensionless_quantities.
- Scale_invariance wikiPageWikiLink Dimensionless_quantity.
- Scale_invariance wikiPageWikiLink Downtime.
- Scale_invariance wikiPageWikiLink Dynamic_viscosity.
- Scale_invariance wikiPageWikiLink Economics.
- Scale_invariance wikiPageWikiLink Electric_charge.
- Scale_invariance wikiPageWikiLink Electrical_breakdown.
- Scale_invariance wikiPageWikiLink Electromagnetic_field.
- Scale_invariance wikiPageWikiLink Electron.
- Scale_invariance wikiPageWikiLink Equation_of_state.
- Scale_invariance wikiPageWikiLink Expectation_value.
- Scale_invariance wikiPageWikiLink Expected_value.
- Scale_invariance wikiPageWikiLink Exponential_dispersion_model.
- Scale_invariance wikiPageWikiLink External_ray.
- Scale_invariance wikiPageWikiLink Ferromagnet.
- Scale_invariance wikiPageWikiLink Ferromagnetism.
- Scale_invariance wikiPageWikiLink Field_(physics).
- Scale_invariance wikiPageWikiLink Field_equation.
- Scale_invariance wikiPageWikiLink Fluid_mechanics.
- Scale_invariance wikiPageWikiLink Fractal.
- Scale_invariance wikiPageWikiLink Fractal_dimension.
- Scale_invariance wikiPageWikiLink Function_(mathematics).
- Scale_invariance wikiPageWikiLink Gamma_distribution.
- Scale_invariance wikiPageWikiLink Gaussian_fixed_point.
- Scale_invariance wikiPageWikiLink Generalized_linear_model.
- Scale_invariance wikiPageWikiLink Homogeneous_function.
- Scale_invariance wikiPageWikiLink Homogeneous_polynomial.
- Scale_invariance wikiPageWikiLink Ideal_gas.
- Scale_invariance wikiPageWikiLink Inflation_(cosmology).
- Scale_invariance wikiPageWikiLink Internet.
- Scale_invariance wikiPageWikiLink Ising_model.
- Scale_invariance wikiPageWikiLink Isothermal.
- Scale_invariance wikiPageWikiLink Isothermal_process.
- Scale_invariance wikiPageWikiLink Koch_curve.
- Scale_invariance wikiPageWikiLink Koch_snowflake.
- Scale_invariance wikiPageWikiLink Linear.
- Scale_invariance wikiPageWikiLink Linearity.
- Scale_invariance wikiPageWikiLink Liquid.
- Scale_invariance wikiPageWikiLink Logarithmic_spiral.
- Scale_invariance wikiPageWikiLink Logical_biconditional.
- Scale_invariance wikiPageWikiLink Magnetic_moment.
- Scale_invariance wikiPageWikiLink Mathematics.
- Scale_invariance wikiPageWikiLink Maxwells_equations.
- Scale_invariance wikiPageWikiLink Mean.
- Scale_invariance wikiPageWikiLink Minimal_model.
- Scale_invariance wikiPageWikiLink Molecule.
- Scale_invariance wikiPageWikiLink Monomial.
- Scale_invariance wikiPageWikiLink Multi-fractal_analysis.
- Scale_invariance wikiPageWikiLink Multifractal_system.
- Scale_invariance wikiPageWikiLink Natural_exponential_family.
- Scale_invariance wikiPageWikiLink Navier–Stokes_equation.
- Scale_invariance wikiPageWikiLink Navier–Stokes_equations.
- Scale_invariance wikiPageWikiLink Network_outage.
- Scale_invariance wikiPageWikiLink Newtonian_fluid.
- Scale_invariance wikiPageWikiLink Normal_distribution.