Distance geometry
Distance geometry is the characterization and study of sets of points based only on given values of the distances between member pairs. More abstractly, it is the study of semimetric spaces and the isometric transformations between them. In this view, it can be considered as a subject within general topology. Historically, the first result in distance geometry is Heron's formula in 1st century AD. The modern theory began in 19th century with work by Arthur Cayley, followed by more extensive developments in the 20th century by Karl Menger and others.
known for
Wikipage redirect
Cayley–Menger determinantCayley–Menger determinantsCollinearityCoplanarityDistanceDistance geometry problemDivine Proportions: Rational Trigonometry to Universal GeometryEuclidean distanceEuclidean distance matrixGlossary of areas of mathematicsKarl MengerKissing numberLeonard BlumenthalList of geometry topicsMengerMultidimensional scalingNuclear magnetic resonance spectroscopyOutline of geometryProteinProtein Data BankQuadrilateralSimplexTrue-range multilateration
Link from a Wikipage to another Wikipage
primaryTopic
Distance geometry
Distance geometry is the characterization and study of sets of points based only on given values of the distances between member pairs. More abstractly, it is the study of semimetric spaces and the isometric transformations between them. In this view, it can be considered as a subject within general topology. Historically, the first result in distance geometry is Heron's formula in 1st century AD. The modern theory began in 19th century with work by Arthur Cayley, followed by more extensive developments in the 20th century by Karl Menger and others.
has abstract
Distance geometry is the chara ...... ion, cartography, and physics.
@en
In der Mathematik ist die Cayl ...... höherdimensionalen Simplizes.
@de
La figura cuyos vértices son p ...... sional lo descubrió Tartaglia.
@es
La geometria della distanza è ...... multiple più estese di punti.
@it
Метри́чна геоме́трія вивчає мн ...... еодезії, картографії і фізики.
@uk
Метрическая геометрия — област ...... еодезии, картографии и физике.
@ru
مسألة البعد الهندسي هي دراسة م ...... لأراضي، علم الخرائط والفيزياء.
@ar
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,004,920,538
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
subject
comment
Distance geometry is the chara ...... ury by Karl Menger and others.
@en
In der Mathematik ist die Cayl ...... höherdimensionalen Simplizes.
@de
La figura cuyos vértices son p ...... ensiones son, respectivamente,
@es
La geometria della distanza è ...... ttilineo se piano se piatto se
@it
Метри́чна геоме́трія вивчає мн ...... еодезії, картографії і фізики.
@uk
Метрическая геометрия — област ...... еодезии, картографии и физике.
@ru
مسألة البعد الهندسي هي دراسة م ...... لأراضي، علم الخرائط والفيزياء.
@ar
label
Cayley-Menger-Determinante
@de
Determinantes de Cayley-Menger
@es
Determinants de Cayley-Menger
@ca
Distance geometry
@en
Geometria della distanza
@it
Метрическая геометрия
@ru
Метрична геометрія
@uk
مسألة بعد هندسي
@ar
케일리-멩거 행렬식
@ko