common adj. 1.共通的,共同的,共有的。 2.公众的;公共的。 3.普通的,通常的,寻常的,平常的。 4.平凡的,通俗的;粗俗的,低劣的。 5.【数学】共通的,公约的;【语法】通性的;通格的。 be common to 共通。 by common consent 全场一致,无异议,按公意。 common as dirt 最平凡的。 common or garden 普普通通的。 common run of 最普通的。 n. 1.公(有)地。 2.(牧场等的)共[公]用权(=right of common)。 3.〔pl. 作 sing. 用〕见 commons 词条。 above [beyond] the common = out of the common. in common (with) 共通,共同,(与…)同样(charges borne in common共同负担的费用)。 keep [be in] commons (在大学等)聚餐。 the (House of) C- 〔英国〕下院,众议院。 out of (the) common 异常的,非凡的。 adv. -ly
In this paper , it s applications were explained from seven different fields , the common zeros of two polynomials , the multiplicities of roots and the discrimination of a polynomial , searching the equations suitable for a algebraic number , implicating a rational curve over the plane , computing the zeros of a nonlinear algebraic equation and gathering the discrimination surface of the sas in automated theorem proving on inequalities 本文从7个方面阐述了结式的应用,包括判断2个多项式的公共零点,判定多项式是否有重根,计算多项式的判别式,寻找代数数满足的方程,平面有理曲线的隐式化,非线性代数方程组求解和不等式机器证明中半代数系统边界曲面的获得等。
The piecewise algebraic curve and the piecewise algebraic variety , as the set of zeros of a bivariate spline function and the set of all common zeros of multivariate splines respectively , are new and important concepts in algebraic geometry and computational geometry . it is obvious that the piecewise algebraic curve ( variety ) is a kind of generalization of the classical algebraic curve ( variety respectively ) 分片代数曲线作为二元样条函数的零点集合,分片代数簇作为一些多元样条函数的公共零点集合,它们是代数几何与计算几何中一种新的重要概念,显然也是经典代数曲线与代数簇的推广。