凸的

In order to solvepiecewise algebraic varieties, we propose a new method to compute an algebraic varietyon a convex polyhedron by adding hyperplanes with the method of Groebner bases. Thus,the algebraic variety on the convex polyhedron is transformed to the positive solutionsof a system of polynomials. Besides, the minimal decomposition is also obtained.

通过添加超平面技巧将Groebner基方法应用到凸多面体内任意维代数簇的计算上，从而把凸多面体内的代数簇转化为另外一组多项式方程组的正解，并且得到了该代数簇在凸多面体内的极小分解。

One convex set which is Cartesian product of nonregular convex polygons is used instead of the other convex set which is Cartesian product of regular polygons.

采用不规则凸多边形的笛卡儿积构成的凸集代替正多边形的笛卡儿积构成的凸集，前者比后者更紧凑。

In anti-fuzzy number space, the conjugate mapping of convex fuzzy mapping is concerned, and convexities of conjugate set and conjugate mapping of convex fuzzy mapping are proved.

在研究模糊向量空间、模糊凸集和模糊凸映射的基础上，我们研究了模糊规划的Lagrange对偶和凸模糊规划的KKT条件，并将有关结果应用到模糊线性规划和模糊二次规划的研究中。

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。

We also construct an algorithm for minimizing its Moreau-Yosida regularization, because this is a smooth convex optimization problem.

极小化一个凸函数可以采用在UV-空间分解理论基础上提出的概念型超线性收敛算法，也可以采用极小化这一凸函数的Moreau-Yosida正则化函数的算法，因为这是一个凸规划的光滑最优化问题。

To increase the running speed of the collision detection algorithm, a new approach is proposed, which uses convex Bounding Volume Hierarchies to express convex polyhedron. Thus the distance problem of two convex polyhedrons is come down to a nonlinear programming problem with constraints. The nonlinear programming problem can be solved by simulated annealing genetic algorithm.

为了提高碰撞检测算法的速度，提出用顶点的凸包表示凸多面体，将两个凸多面体间距离的问题归结为一个带约束条件的非线性规划问题，利用模拟退火遗传算法对该问题进行求解。

The method of improvement is therefore proposed with the solution given to the cubic curve of CVC rolls.

经过分析认为CVC轧辊的等效凸度应该是轧辊横移量和板带宽度的函数，并推导了包含板带宽度的CVC轧辊等效凸度公式，为不同宽度板带的凸度控制提供了理论依据。

On fuzzy mapping F :〓→〓, the concepts of directional derivative and integralover a line segment are defined, and the increase, convexity and continuity are investigated.

作为应用，给出了一个这类凸模糊映射在〓的某一凸子集中某一点达到最小值的等价条件，并得到了某点是一个凸模糊优化问题的最优解的一个充分条件。

By means of FEM, the stress and strain distribution and the flow direction of the deformed materials in typical planes of this mechanical model are analyzed. The influencing regularities of the main factors, such as rib width, friction coefficient, rib side angle, material characteristics are also discussed.

利用刚塑性有限元方法，对这种简化力学模型典型平面上的应力应变分布以及变形后材料的流动方向等方面进行了深入分析，并对主要因素，如凸筋宽度、摩擦系数、凸筋侧壁角度、材料特性对凸筋高度和形状的影响规律进行了研究。

In the standard designing procedure of stamping die , the calculation formulas of dimensions of both punch and die plate are derived based on such a principle that for blanking operation to produce the punch with the die plate as the basic part, and for the punching operation to produce the die plate with the punch as the basic part.

在冲裁模设计中，冲裁模的凸模、凹模刃口尺寸计算公式是根据落料以凹模为基准件配制凸模，冲孔以凸模为基准件配制凹模的原则建立的。

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％。