查询词典 decomposition

A new polygon filling method——polygon trapezoidal decomposition filling method——is put forward and realized. An analytical comparing between its time complexity and that of the classical methods shows that it is faster than scan-line algorithm in the case of complex concave polygon.

提出了一条新的多边形填充思路——多边形梯形网格剖分填充法，实现了该算法并将其时间复杂度与经典的有序边表算法进行了比较，说明该方法在复杂的凹多边形情况下处理速度较有序边表快。

The main work of this paper is: First,we get the condition that the equation 2py~2 = 2x~3 + 3x~2 + x have no positive solution by the method of simple congruence and decomposition.

利用简单同余法、分解因子法等初等方法，给出了方程2py~2=2x~3+3x~2+x无正整数解的条件。

The parallel algorithm is presented for solving the conjugate gradient method with element based domain decomposition. Model of dam structural analysis problem is solved.

提出了基于单元区域分解的共轭梯度并行算法，对坝体结构进行求解，对其并行性能进行分析。

The least square conjugate gradient and odd values decomposition method also can be used to perform tomographic inversion.

研制的最小平方共轭梯度算法和奇异值分解法也可进行同样的层析反演。

In the third, we hit the variational principle, orthogonal decomposition, orthonormal base, Riesz representation theorem and the conjugate operators in the Hilbert space.

第三部分，Hilbert空间的变分原理、正交分解、完备标准正交系的存在性、Riesz表现定理和共扼算子等。

In the paper,the theory of production frontiers and its non-parametric measurement ap～proaches are used to figure out the input compressing productivity index,Malmquist productivity index based on the input oriented non-parametric production frontiers .The technology efficiency and thedis～tance function and their nonparametric models anr introduced on the conditions of Constant Return to Scale and input strong disposability The Non-pparametric measurement approaces and the decomposition of Malmquist prisuctibity index are put forward

孙巍文采用生产前沿面理论及其非参数方法，对假定产出确定条件下投入压缩的生产率指数基于投入前沿面的Malmquist生产率指数进行了理论与测度方法研究，通过规模收益不变且要素自由，C，S，前沿面条件下的技术效率，距离函数及其非参数模型的分析，本文给出了基于非参数，C，S，投入前沿面的Malmquist生产率指数的非参数测度模型，并从技术变化和资源配置效率变化两个方面进行了分解

Gerber and Shiu (1998a) and Tsai and Willmot (2002) all consider the renewal equation for the expected discounted penalty function at ruin Ф and its decomposition in this risk process. In their proceeding, they assumed the twice continuous differentiability of Ф,Ф〓,Ф〓 as a premise but its proof isn't obvious.

Gerber and Landry（1998）及Tsai andWillmot（2002）考虑了此模型下的破产时罚金折现期望Ф所满足的更新方程及其分解后的因子Ф〓和Ф〓，但它们的推导过程都是在假定Ф，Ф〓，Ф〓连续且二次连续可微的前提条件下进行的，但实际上此前提假定的成立并非显然。

HJB equation; quasivariational inequality; domain decomposition; convergence; iterative algorithm; relaxation algorithm; existence; multigrid method

基础科学，数学，数学分析HJB方程；拟变分不等式；区域分解；收敛性；迭代法；松弛算法；存在性；多重网格法

The decomposition method provides the solution in a rapidly convergent series with components that are elegantly computed.

分解方法的特点在于所得到的解为级数形式，不仅具有很好的收敛性而且容易计算。

To realize arbitrary triangle polygon convex decomposition.

详细说明：实现对任意多边形的三角形凸分解。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！