High Quality Content by WIKIPEDIA articles! A singular point on a curve is one where it is not smooth, for example, at a cusp. The precise definition of a singular point depends on the type of curve being studied. Algebraic curves in R2 are defined as the zero set f?1(0) for a polynomial function f:R2?R. The singular points are those points on the curve where both partial derivatives vanish, f(x,y)={partial foverpartial x}={partial foverpartial y}=0. A parameterized curve in R2 is defined as the image of a function g:R?R2, g(t) = (g1(t),g2(t)). The singular points are those points where {dg_1over dt}={dg_2over dt}=0.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.