intersection multiplicity造句
例句與造句
- The first fully satisfactory definition of intersection multiplicities was given by regular ).
- Another realization of intersection multiplicity comes from the resultant of the two polynomials P and Q.
- The intersection multiplicity is the dimension of Kx, y / I as a vector space over K.
- This definition for addition works except in a few special cases related to the point at infinity and intersection multiplicity.
- Intersection multiplicity can also be realised as the number of distinct intersections that exist if the curves are perturbed slightly.
- It's difficult to find intersection multiplicity in a sentence. 用intersection multiplicity造句挺難的
- One realization of intersection multiplicity is through the dimension of a certain quotient space of the power series ring Kx, y.
- Because and are conics, B閦out's theorem implies and intersect in four points total, when those points are counted with the proper intersection multiplicity.
- Serre defined the intersection multiplicity of " R / P " and " R / Q " by means of the Tor functors of homological algebra, as
- Appolonius'problem is concerned with the situation where, meaning that the intersection multiplicity at that point is; if is also equal to a circular point, this should be interpreted as the intersection multiplicity being.
- Appolonius'problem is concerned with the situation where, meaning that the intersection multiplicity at that point is; if is also equal to a circular point, this should be interpreted as the intersection multiplicity being.
- To give a definition, in the general case, of the "'intersection multiplicity "'was the major concern of Andr?Weil's 1946 book " Foundations of Algebraic Geometry ".
- This definition of intersection multiplicity, which is essentially due to Jean-Pierre Serre in his book " Local algebra ", works only for the set theoretic components ( also called " isolated components " ) of the intersection, not for the embedded components.
- Since " X " is the union of two planes, each intersecting with " Y " at the origin with multiplicity one, by the linearity of intersection multiplicity, we expect " X " and " Y " intersect at the origin with multiplicity two.
- There is a unique function assigning to each triplet ( P, Q, p ) consisting of a pair of projective curves, P and Q, in K [ x, y ] and a point p \ in K ^ 2, a number I _ p ( P, Q ) called the " intersection multiplicity " of P and Q at p that satisfies the following properties: