write in brief smooth surface
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a smooth surface is a surface which is usually shiny and has less irregularities. a smooth surface offers less friction.
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A surface is said to be smooth if it does not have singular points, in other words, if it has a (unique) tangent plane at every point. For this we need to clarify if the surface is considered from a real affine, a real projective, or a complex projective point of view, the conditions becoming stronger and stronger.
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