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We posed the concept of sufficient intersection about s(1≤s≤n) algebraic hypersurfaces in n-dimensional space and proved the dimension of polynomial space Pm(which denotes the space of all multivariate polynomials of total degree≤m) on the algebraic manifold S=s(f1,…, fs) where f1(X=0,…, f s=0denote s algebraic hypersurfaces of sufficient intersection, then gave a convenient expression for dimension calculation by using the backw ard difference operator.

给出了n维空间中s(1≤s≤n)个代数超曲面充分相交的概念，证明了n元m次多项式空间Pm在充分相交的代数流形S=s(f1，…， fs)（f1=0，…， fs=0表示s个代数超曲面）上的维数，并利用倒差分算子给出一个方便计算的表达式；构造了沿代数流形上插值适定结点组的叠加插值法；证明了在充分相交的代数流形上任意次插值适定结点组的存在性；给出代数流形上插值适定结点组的性质和判定条件。

In this paper,we propose a concept called interval implicitization of rational bézier surfaces,that is ,finding an interval algebraic surface with lower degree which bounds a given parametric rational bézier surface such that some objective function involving the width and the tention term of the interval algebraic surface is minimized.

本文提出有理Bézier曲面的区间隐式化的概念，即找到一条较低次的区间代数曲面使得给出的有理Bézier曲面落在该区间代数曲面内，并使得一包含区间代数曲面的宽度和张量项的目标函数达到最小。

A high degree of social mobility has always defined American culture, from the work of Alexis de Tocqueville and Horatio Alger to the remarkable story of Barack Obama himself.

无论是亚力克西德托克维尔和霍雷肖阿尔杰的著作，还是巴拉克奥巴马个人辉煌的传记，都表明，美国文化由高度的社会流动所定义。

The oscillation of the base level results in their relative variation of accommodation space and sedimentary alimentation. The variation rates of them have also changed, then lead to the difference of facies sequence, the degree of stratigraphic preservation and stacking pattern at the same territory in different ages, or the difference of phase area at different territories at the same age.

由於基准面的升降变化引起了可容纳空间与沉积物供给量的相对变化，相对应的可容纳空间变化率和沉积物供给率同时也发生变化，因而导致了在不同时期同一地区的地层在相序、保存程度和叠加样式上的差异，以及在同一时期内不同地区在相域上的差别。

Soon after the Crusade was over, Louis VII and Eleanor agreed to dissolve their marriage, because of Eleanor's own desire for divorce and also because the only children they had were two daughters - Marie and Alix . The royal marriage was annulled on 11 March 1152, on the grounds of consanguinity within the fourth degree.

第二次十字军东征刚刚结束，路易七世与埃利诺便协议结束了这场婚姻，既因为埃利诺自己希望离婚，也因为两者婚姻仅生下了两个女儿玛丽和阿利克斯。1152年3月11日，这场王室联姻因存在四代内的血缘关系而宣告取消。

In addition, using plant growth promoter can improve N utilization ratio of Chinese cabbage to the soil notably, and increase total amount of microorganism in soil. Moreover, it can raise soil buffer capacity, and make sour alkali degree of soil suitable for the growth of Chinese cabbage.

同时该植物生长促进剂可提高植物对土壤中氮素的利用率，增加土壤中微生物的总量，提高土壤缓冲能力，使土壤的酸碱度更适合植物的生长。

Alkalimetry is standard method of determining degree of deacetylation of chitosan generally applied in aquaculture and other industry.

碱量法是水产行业测定壳聚糖脱乙酰度的标准方法，应用广泛。

The degree of acidity versus alkalinity in the body's environment must be maintained at a stable level.

人体的内环境酸碱度必须维持高度稳定。

Finally, suppose the DKA cause s a metabolic acidosis to the same degree that the pneumonia cause s the respiratory alkalosis.

最后，假定DKA导致的代谢性酸中毒与肺炎引起的呼吸性碱中毒的严重程度是一致的

Finally, suppose the DKA causes a metabolic acidosis to the same degree that the pneumonia causes the respiratory alkalosis.

最后，假定DKA导致的代谢性酸中毒与肺炎引起的呼吸性碱中毒的严重程度是一致的

I was up all night because I was in pain, she said.

我整夜，因为我在疼痛，她说。

A crow caws /craoks.

乌鸦叫。 51-论文网