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Aiming at the multiple loop structures in quality management process network, an improved graph pattern mining approach based on Apriori algorithm is put forward, where a frequent pattern of size k, denoted as G, is joined with another frequent pattern of size k, denoted as G, to form a candidate frequent pattern of size (k+1), if there exists a source vertex s in G and a sink vertex e in G such that the graph derived from G by subtracting node s equals with the graph derived from G G by subtracting node e.

采用基于APriori方法的频繁活动序列挖掘算法，认为k-频繁图集中，当一个图减去其中的一个源顶点后，如果所得到的图与另一个图减去其中的一个沉顶点后的图相同时，可以连接生成一个(k+1)-候选频繁图，从而减少了传统Apriori算法迭代过程中生成的冗余候选频繁图的数目。

Lastly,we present an algorithm to isolate real roots of a univariate spline, i.e., computing asequence of disjoint intervals such that each of them contains exactly one real root of agiven spline function, which is primarily based on the use of Descartes\' rule of signs withits B-spline coefficients and de Casteljau algorithm of B?

最后，基于B-样条系数的Descartes符号准则和Bézier曲线的de Casteljau算法，我们给出了一元样条实根分离算法，也就是计算出一列不相交区间，使得每个区间恰好只包含此样条函数的一个实根。

Lastly,we present an algorithm to isolate real roots of a univariate spline, i.e., computing asequence of disjoint intervals such that each of them contains exactly one real root of agiven spline function, which is primarily based on the use of Descartes rule of signs withits B-spline coefficients and de Casteljau algorithm of Bzier curve.

最后，基于B-样条系数的Descartes符号准则和Bézier曲线的de Casteljau算法，我们给出了一元样条实根分离算法，也就是计算出一列不相交区间，使得每个区间恰好只包含此样条函数的一个实根。

NET 2.0, they finally fixed XmlSerializer such that it allows you to serialize and deserialize an abstract base class instead of only concrete classes.

NET 2.0，终于固定XmlSerializer的，这样它允许您序列化和反序列化一个抽象基类，而不是只具体类。

By λ0 we mean the smallest value of λ which can be taken such that the equation determining Tc in the Matsubara representation has a real...

这里λ_0是Matsubara表象中使决定T_c的方程具有正实数解的最小的λ值。

A sufficient condition is firstly established such that a nonsymmetric saddle point matrix is diagonalizable with real and positive eigenvalues.

首先给出使得非对称鞍点矩阵具有实正特征值且可对角化的充分条件，该条件比已有著名条件更弱。

Burning is completely unrestricted, such that the grain burns on both inner and outer diametrical surfaces, as well as both ends.

燃烧是完全不受限制的，如粮食烧伤面积在双方内部和外部径向面，以及两头。

The second groove intersects the first groove set at an intersection angle such that the first optical surface (142) intersects the second optical surface (144) to define an orthogonal dihedral angle between the two surfaces.

第二沟槽组与第一沟槽组以一交角相交，以使第一光学表面（142）与第二光学表面（144）相交，而在两个表面之间限定一垂直二面角。

Use the final diluent specified and a sequence such that the middle or median has the concentration designated.

使用规定的最终稀释液和分析顺序，以便于分析结果中值为需要的浓度。

Tu is a digraph denoted as DHG with nodes corresponding to the data segments of P and a set of directed arcs joining these nodes such that ,for i≠j,Di→Dj Iff there exist tTu s.t.

Dn.A数据库的P wrtTu层次图划分为华赋性与节点对应的数据段P和直接参与了这些节点的弧集，这样，因为我≠，邸→当且仅当存在tεTus.t。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。