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单词 tangency
释义 tangency

A situation where two smooth curves touch but do not cross. For two curves y = f(x) and z = g(x) to be tangential at x = x*, it is a necessary condition that f(x*) = g(x*) and dy/dx = dz/dx when both functions are evaluated at x = x*, and it is a sufficient condition that d2 y/dx2d2 z/dx2. Thus the two curves both pass through one point at x = x*: they have the same slope but different curvature.

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更新时间:2025/3/13 22:50:29