e/Hyperbolic space

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has glosseng: In mathematics, hyperbolic n-space, denoted Hn, is the maximally symmetric, simply connected, n-dimensional Riemannian manifold with constant sectional curvature −1. Hyperbolic space is the principal example of a space exhibiting hyperbolic geometry. It can be thought of as the negative-curvature analogue of the n-sphere. Although hyperbolic space Hn is diffeomorphic to Rn its negative-curvature metric gives it very different geometric properties.
lexicalizationeng: Hyperbolic Space
instance of(noun) (mathematics) any set of points that satisfy a set of postulates of some kind; "assume that the topological space is finite dimensional"
mathematical space, topological space
Meaning
Catalan
has glosscat: En matemàtiques, lespai hiperbòlic és un espai, introduït al segle XIX pels matemàtics János Bolyai i Nikolai Ivànovitx Lobatxevski de manera independent, que es defineix en una geometria no euclidiana anomenada geometria hiperbòlica. Es tracta, juntament amb la geometria el·líptica, de lexemple més important de la geometria no euclidiana.
lexicalizationcat: espai hiperbòlic
Esperanto
has glossepo: En matematiko, hiperbola n-spaco, s Hn, estas la maksimume simetria, simple koneksa, n-dimensia rimana dukto kun konstanta sekcia kurbeco -1. Ĝi estsd la negative kurbeca analogo de la n-sfero.
lexicalizationepo: hiperbola spaco
Hebrew
has glossheb: בטופולוגיה, מרחב היפרבולי הוא מרחב גאודזי הדומה, במובן מסוים, למודל הדיסק של הגאומטריה ההיפרבולית. בגאומטריה של מרחבים כאלה חלה בדרך כלל הגרסה ההיפרבולית של אקסיומת המקבילים - דרך כל נקודה שמחוץ לישר עוברים אינסוף ישרים מקבילים.
lexicalizationheb: מרחב היפרבולי
Italian
has glossita: In matematica, lo spazio iperbolico è uno spazio introdotto indipendentemente dai matematici Bolyai e Lobachevsky nel XIX secolo, su cui è definita una particolare geometria non euclidea, detta geometria iperbolica. Si tratta dell'esempio più importante di geometria non euclidea, assieme alla geometria ellittica.
lexicalizationita: spazio iperbolico
Media
media:imgGeodesic triangle in the disk model.png
media:imgHyperb gcubic hc.png
media:imgHyperbolic orthogonal dodecahedral honeycomb.png
media:imgHyperbolicParallels.png
media:imgOrder-5 tetrakis square tiling.png
media:imgPiano iperbolico.svg
media:imgTriangolo iperbolico.svg
media:imgUniform tiling 54-t0.png
media:imgUniform tiling 73-t2.png

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