tangent$93476$ - translation to greek
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tangent$93476$ - translation to greek

VECTOR SPACE ASSOCIATED TO A POINT IN A SMOOTH MANIFOLD, CONSISTING OF VECTORS TANGENT TO IT (IN SOME EMBEDDING INTO EUCLIDEAN SPACE)
Tangent spaces; Tangent Space; Planar tangent

tangent      
adj. εφαπτομένος

Definition

tangency
n.
Contact, touching.

Wikipedia

Tangent space

In mathematics, the tangent space of a manifold generalizes to higher dimensions the notion of tangent planes to surfaces in three dimensions and tangent lines to curves in two dimensions. In the context of physics the tangent space to a manifold at a point can be viewed as the space of possible velocities for a particle moving on the manifold.