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Integral geometry

In mathematics, integral geometry is the theory of measures on a geometrical space invariant under the symmetry group of that space. In more recent times, the meaning has been broadened to include a view of invariant (or equivariant) transformations from the space of functions on one geometrical space to the space of functions on another geometrical…

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Integral geometry

Nodes43
Edges42
Triples28
Avg. degree1.95
Density0.046512
Components1

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Integral geometry

Top relations

related to Further reading · 14
Integral geometry → Buffon, Cambridge University PressLangevin, EMS Press, Encyclopedia, France, Integral, ISBN, Luis, Luis Antonio Santaló, Mathematics, Rémi, Santaló, Sors, Vol
related to Classical context · 11
Integral geometry → Bertrand's, Crofton, Here, If, Integral, It, Luis Santaló, Note, The, There, Wilhelm Blaschke
is a · 1
Integral geometry → theory of measures on a geometrical space invariant under the symmetry group of that space

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Important terminology

integral geometry theory invariant space probability group geometrical symmetry one form transforms transform transformations mathematics measures geometric santaló theorem measure

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Integral geometryis atheory of measures on a geometrical space invariant under the symmetry group of that space0.90text
the Radon transforminstance ofSuch transformations often take the form of integral transforms0.80text
its generalizationsinstance ofSuch transformations often take the form of integral transforms0.80text
Integral geometryrelated to Classical contextIntegral0.60section
Integral geometryrelated to Classical contextThe0.60section
Integral geometryrelated to Classical contextLuis Santaló0.60section
Integral geometryrelated to Classical contextWilhelm Blaschke0.60section
Integral geometryrelated to Classical contextIt0.60section
Integral geometryrelated to Classical contextCrofton0.60section
Integral geometryrelated to Classical contextHere0.60section
Integral geometryrelated to Classical contextThere0.60section
Integral geometryrelated to Classical contextIf0.60section

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    Min side: 3
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