About: Four-gradient

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Four-gradient Goto Sponge NotDistinct Permalink

An Entity of Type : yago:Variable105857459, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/c/AdpN3ZsUhc

In differential geometry, the four-gradient (or 4-gradient) is the four-vector analogue of the gradient from vector calculus. In special relativity and in quantum mechanics, the four-gradient is used to define the properties and relations between the various physical four-vectors and tensors.

Attributes	Values
rdf:type	yago:WikicatTensorsInGeneralRelativity yago:Abstraction100002137 yago:Cognition100023271 yago:Concept105835747 yago:Content105809192 yago:Idea105833840 yago:PsychologicalFeature100023100 yago:Quantity105855125 drug yago:Tensor105864481 yago:Variable105857459
rdfs:label	Four-gradient (en) Quadrigradiente (it) Viergradiënt (nl) Czterogradient (pl) 4-градиент (ru) 四维梯度 (zh)
rdfs:comment	In differential geometry, the four-gradient (or 4-gradient) is the four-vector analogue of the gradient from vector calculus. In special relativity and in quantum mechanics, the four-gradient is used to define the properties and relations between the various physical four-vectors and tensors. (en) Het begrip viergradiënt komt voor in de speciale relativiteitstheorie, en is de veralgemening van de gewoonlijke notie van gradiënt naar een viervector. Het is een natuurlijk object indien men afgeleides neemt van functies of tensoren die gedefinieerd zijn op de Minkowski-ruimte. In algemene relativiteitstheorie, waar het domein van functies een meer algemene, ruimte kan zijn, kan de viergradiënt verder veralgemeend worden naar de covariante- of Lie-afgeleide. (nl) In fisica, il quadrigradiente è un operatore differenziale che generalizza il concetto di gradiente ai quadrivettori. Si tratta di un operatore vettoriale che applicato a una funzione scalare genera un quadrivettore le cui componenti sono le derivate parziali della funzione rispetto alle quattro coordinate. (it) 在微分几何中，四维梯度（或4-梯度，4-gradient）是向量微积分中的梯度在四维矢量中的推广。在狭义相对论和量子力学中，4-梯度用于定义各种4-向量和张量形式的物理量之间的性质和关系。 (zh) Czterogradient (lub 4-gradient) – operator czterowektorowektorowy definiowany w czterowymiarowej czasoprzestrzeni Minkowskiego. Jest odpowiednikiem operatora wektorowego nabla definiowanego w 3-wymiarowej przestrzeni euklidesowej. Przyjmując sygnaturę metryki czasoprzestrzeni, czterogradient można wyrazić za pomocą jego składowych: a) składowe kowariantne (dolne) 4-gradientu b) składowe kontrawariantne (górne) 4-gradientu przy czym: (pl) 4-градие́нт (четыре-градиент, четырёхградиент, 4-на́бла; обозначается D, или ) в специальной теории относительности — 4-векторный дифференциальный оператор в псевдоевклидовом пространстве Минковского, определяемый как Если вычислить скалярное произведение D на самого себя (учитывая, что пространство Минковского псевдоевклидово), то получится скалярный 4-мерный оператор Д’Аламбера: где Δ — оператор Лапласа. Ещё один способ обозначения 4-градиента — запятая перед координатным индексом. Так, если а — скаляр, то его 4-градиент где — контравариантные компоненты 4-вектора, а — дивергенция. (ru)
dct:subject	Four-vectors
Wikipage page ID	1717865 (xsd:integer)
Wikipage revision ID	1109550189 (xsd:integer)
Link from a Wikipage to another Wikipage	Canonical commutation relation Proper time Quantum electrodynamics Quantum mechanics Scalar potential Schrödinger equation Four-vectors Electric potential Electromagnetic field Electromagnetic four-potential Electromagnetism Energy density Metric tensor (general relativity) Bianchi identity Antisymmetric tensor Relativistic angular momentum Relativistic wave equations Ricci calculus Current sources and sinks D'Alembert operator Vector (geometric) Vector field Index notation Jacobi identity Test particle Complex number Continuity equation Covariance and contravariance of vectors Matrix (mathematics) Matter wave SU(2) SU(3) Gauge boson Gauge covariant derivative Noether's theorem Non-abelian gauge theory Wavenumber Christoffel symbols Classical mechanics Einstein notation Electromagnetic tensor Electrons Elementary particle Fundamental interactions Gamma matrices General relativity Gradient Gravitational wave Green's function Minkowski space Conservation law Conservation of energy Total derivative Volume integral Angular momentum Limiting case (mathematics) Magnetic vector potential Standard Model Stokes' theorem Stress–energy tensor Hamilton–Jacobi equation Partial derivative Particle physics Phase (waves) Superposition principle Wave equation Wave function Weak interaction Coupling constants Perfect fluid Strong interaction 4-vector Action (physics) Curvature

Faceted Search & Find service v1.17_git147 as of Sep 06 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3332 as of Dec 5 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 68 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2025 OpenLink Software