Checking saved dictionary data and trusted language sources. This will stop automatically if a source does not respond.
Pronunciation varies by accent · noun
An n-1-dimensional hyperplane in hyperbolic n-dimensional space: it is (in the Poincaré disk) Euclidean-tangent at infinity to the boundary sphere or (in the upper-half-space model) Euclidean-parallel to the boundary hyperplane..
Use horosphere when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Horosphere means An n-1-dimensional hyperplane in hyperbolic n-dimensional space: it is (in the Poincaré disk) Euclidean-tangent at infinity to the boundary sphere or (in the upper-half-space model) Euclidean-parallel to the boundary hyperplane..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
Use horosphere where its definition matches the intended context.
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
Dictionary data is provided by FreeDictionaryAPI.com and sourced from Wiktionary under its stated license.