Assertion: curve's point | /r/HasProperty | point
Facets:
value: precisely
type: DEGREE
value: on e
type: LOCATION
value: similarly
type: DEGREE
Source sentences:
text: and the points of the curves that are singular are the points such that
text: In particular, if the curve is a plane projective algebraic curve, defined by a single homogeneous polynomial equation f(x,y,z) = 0, then the singular points are precisely the points P where the rank of the 1×(n+1) matrix is zero, that is, where
text: Similarly, for an affine algebraic curve defined by a single polynomial equation f(x,y) = 0, then the singular points are precisely the points P of the curve where the rank of the 1×n Jacobian matrix is zero, that is, where
text: Then the K-rational points of E are the points on E whose coordinates all lie in K, including the point at infinity.