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In its mathematical usage parallel is an absolute term— two lines either do or do not intersect—and as such does not admit of qualification as to degree.
在数学用法中，parallel 是一个绝对的表达法——两条线要么相交，要么就不相交——它既没有限定性也没有程度差别。
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In its mathematical usageparallel is an absolute term— two lines either do or do not intersect—and as such does not admit of qualification as to degree.
在数学用法中，parallel 是一个绝对的表达法——两条线要么相交，要么就不相交——它既没有限定性也没有程度差别。
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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。
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Andwe get two results that kinematic measure of the random pairs of needles intersect inconvex body K and the random pairs of needles intersect at a point in convex body Kby calculation. Thereby, the result of geometric probability problem and its inferencesare gained.
通过计算得出针偶与凸体K相交的运动测度和针偶与凸体K相交且针偶的交点属于凸体K的运动测度这两个结果，从而解决了这一几何概率问题，并得到了相关的一些推论。
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In dual Brunn-Minkowski theory, we study the properties of the dual harmonic quer-massintegrals systematically and establish some inequalities for the dual harmonic quer-massintegrals, such as the Minkowski inequality, the Brunn-Minkowski inequality, the Blaschke-Santalo inequality and the Bieberbach inequality. We establish the dual Brunn-Minkowski inequality for dual affine quermassintegrals. Recently we learned that Gardner have independently proved it by a different method. The polar body of a convex body is an important object in the context of convex geometry. Hence, after we studied the intersection bodies, it is natural to consider the inequalities for their polar bodies.
在对偶Brunn-Minkowski理论中，我们引入了对偶调和均质积分概念，系统的研究了它的性质，并建立对偶调和均质积分的Brunn-Minkowski不等式，Blaschke-Santalo型不等式和Bieberbach不等式；接着我们建立了对偶仿射均质积分的对偶Brunn-Minkowski不等式，最近我们得知这个不等式被Gardner用另外的方式证明；凸体的极体是凸几何中一个重要概(来源：2525ABf8C论文网www.abclunwen.com)念，既然相交体和投影体有对偶关系，因此在研究完投影体的极体之后自然要研究相交体的极体。
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That is, formally speaking, a representation or encoding over an alphabet ∑ of a set D is a function f from D to 2^∑* that satisfies the following condition: f(e1) and f(e2) are disjoint nonempty sets 不相交的非空子集 for each pair of distinct elements e1 and e2 in D.
形式地说，对信息对象集合 D 进行基于字母表∑的物化或编码是从 D 到 2^∑*的函数 f，并且函数 f 满足以下条件：对于 D 内任一对不相同的元素 e1 和 e2，f(e1)和 f(e2)是不相交的非空子集。
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Secondly, it is not the same fractal diagram by the same codes of IFS to produce fractal diagram. The two graphs are extraordinary similar, but they are different in detail. The problem is researched and the algorithm which calculates the intersection points of two graphs created by the same coefficient of the IFS is proposed. The curve described changing of the intersection points number is drawn. The conclusion is that the curve fluctuates in the tiny range and is smooth when it is seen as a whole. In fact, the curve is a fractal curve.
其次，针对同一IFS迭代码两次迭代绘制得到的分形图并非完全相同这一问题展开研究，提出了IFS分形覆盖相交交点变化曲线的概念，给出了覆盖相交交点变化曲线的绘制算法，在此基础上进一步研究了分形覆盖相交交点变化曲线的变化率情况，得到了分形覆盖相交交点变化曲线宏观上比较光滑，但实际上小范围内异常波动的实验结果。
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The paper discusses the position relationship between the litter circles of torus and the section circle of sphere figured out the intersection of torus and sphere when the central axis of torus and sphere center in XOZ coordinate plane through coordinate transformation.
利用坐标变换使圆环中心轴与球心同在XOZ平面内，讨论了在该平面内圆环截圆与球圆的位置不相交、相切和相交时圆环面和球面的相交情况，并给出了判别圆环面、球面相交情况的流程图以及圆环面和球面相交实例。
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In this paper , the statistic significance and clinical application of forest plots in a meta-analysis have been fully discussed. If the horizontal line represents the 95% confidence interval of the indexes including odds ratio, relative risk, weighted mean difference, and standard mean difference crosses the vertical line, the effect of test group is not signficant with that of control group; if the horizontal line lies to the right of the vertical line, it indicates that the test group is significantly effctive. If the horizontal line lies to the left of the vertical line, it indicates that the control group is more effective.
对Meta-分析的森林图的统计学意义和临床应用做了较为详细的解释：当统计指标比值比、相对危险度、加权均数差和标准化均数差的95%可信区间横线与森林图的无效线(横坐标刻度为1或0)相交时，试验组的效应量等于对照组，试验因素无效；当其95%可信区间横线不与森林图的无效线相交且落在无效线右侧时，试验组的效应量大于对照组；当其95%可信区间横线不与森林图的无效线相交且落在无效线左侧时，试验组的效应量小于对照组。
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Results: The PreCS intersected the cerebral longitudinal fissure in the shape of "Y", and the detection rate of MRI was 8.33%; the PreCS intersected the superior frontal sulcus, the middle frontal sulcus and the inferior frontal sulcus in the shape of inverted "Y", and the detection rates of MRI were 90.00%, 3.33%, and 76.67%, respectively; the PreCS was not only parallel to central sulcus, hut also intersected the CS, and the detection rates of MRI were 83.33% and 16.67%, respectively; the PreCS intersected the lateral fissure in the shape of inclined "Y", and the detection rate of MRI was 80.00%; the PreCS was paralleT to the anterior ascending ramus of lateral fissure, and the detection rate of MM was 98.33%.
结果：大脑中央前沟与大脑纵裂呈&Y&形相交，MRI显示率为8.33%；大脑中央前沟与额上沟、额中沟及额下沟均呈倒&T&形相交，MRT显示率分别为90.00%、3.33%和76.67%；大脑中央前沟与中央沟有近似乎行排列和呈倒&Y&形相交2种情形，MRI显示率分别为90.00%、83.33%和16.67%；大脑中央前沟与中央沟有近似平行排列和呈倒&Y&形相交，MRI显示率为80.00%；大脑中央前沟与外侧裂前升支呈平行排列，MRI显示率为98.33%。
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disjoint elements：不相交元素
discriminatory analysis 判别分析 | disjoint elements 不相交元素 | disjoint relations 不相交关系
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disjoint relations：不相交关系
disjoint elements 不相交元素 | disjoint relations 不相交关系 | disjoint sets 不相交集
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disjoint sets：不相交的集
disjoint 不相交的 | disjoint sets 不相交的集 | disjunction 析取
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disjoint sets：不相交的集;分离集
不相交的序列 disjoint sequences | 不相交的集;分离集 disjoint sets | 析取项 disjunct
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disjoint sets：不相交的集Btu中国学习动力网
disjoint 不相交的Btu中国学习动力网 | disjoint sets 不相交的集Btu中国学习动力网 | disjunction 析取Btu中国学习动力网
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Disjoint：不相交的
discriminant 判别式 | disjoint 不相交的 | disjoint sets 不相交的集
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disjointed complement：不相交余数
disjoint set 分离集,不相交集合 | disjointed complement 不相交余数 | disjointed track 不相交迹线
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intersecting lines：相交线
相交横截 intersect transversally | 相交线 intersecting lines | 相交图 intersection graph
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intersection graph：相交图
相交线 intersecting lines | 相交图 intersection graph | 相交重数 intersection multiplicity
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mutually disjoint events：互不相交事件
mutually disjoint 互不相交的 | mutually disjoint events 互不相交事件 | mutually disjoint subsets 互不相交子集