第2和第3节分别简要介绍单位分解法和水平集法；
The partition of unity method (PUM) and Level Set Method (LSM) are briefly introduced in sections 2 and 3, respectively.
使用单位分解积分，对传统的无单元伽辽金方法进行改进。
The element-free Galerkin method(EFGM) is improved with partition of unity quadrature(PUQ).
该方法基于单位分解(PU)框架，定义了带分析信息的增强覆盖函数，建立场量函数的近似公式表达。
Under the framework of partition of unit (PU) in the method, enrichment cover functions with the known analyzed information were defined, and the formulation of approximate field function was built.
利用单位分解，给出了多面体上连续自映射的拓扑压的函数定义，并证明了它与拓扑压的标准定义是等价的。
The topological pressure of a transformation is expressed in terms of partitions of unity. Its equivalence to the standard definition is showed.
化学反应不能将元素分解成更小的单位。元素只含有一种原子。
An element cannot be broken down into simpler units by chemical reactions; it contains only one kind of atom.
用单位时间的相对耗氧摩尔数来反应呼吸速率的快慢，而用呼吸商来反应呼吸过程中代谢燃料的分解途径。
The respiratory rate and catabolism pathway are described respectively by using relative mol number of consumed oxygen during unit time and respiratory quotient.
本文基于旋转矩阵单位四元数分解定理，提出一种由3D特征点空间位置估计运动参数的算法。
Based on the unit quaternion decomposition of rotation matrix, this paper puts forward an algorithm to estimate motion parameters from the space position vectors of 3d feature points.
常常使用生化需氧量，即有机物分解所需的氧这个单位进行测量。
They are commonly measured in units of biochemical oxygen demand (BOD), or the amount of oxygen needed to decompose them.
书写单位；书写符号代表一个元音、辅音、音节、词或其它表达方式，并且不能进一步分解的书写符号。
A written character that represents a vowel, consonant, syllable, word, or other expression and that cannot be further analyzed.
本文对两个期间混合成本分解式中的固定成本和单位成本变动率进行比较，进而能从数量方面评价两种不同的成本管理措施优劣。
This paper studies a comparison method on formulas of decomposition for mixed cost, so as to give a new method in evaluating the merit of cost management.
阳新一中面向全县首批择优录取分数线为542分，面向各初中办学单位指标分解基本录取分数线为520分。
Yangxin a county in the first batch of merit for admission to 542 points for the junior high school units of basic indicators of decomposition for the 520 admission points.
汉语诗歌节奏是对汉语自然节奏单位节拍群的分解，而节拍群主要是由音顿划分出来的。
Thus, the rhythm of Chinese poetry has been formed by decomposing and combining the rhythmical groups in a regularly way.
主要讨论了二次整环的单位、素元、因子分解、二次整环的剩余类环的性质等问题。
It mainly discusses units, prime elements, factorization, the properties of residue class ring of quadratic domain in the paper.
浮动基准面方法是将相对固定基准面的一份静校正量分解成两部分，并分别在动校正前、后应用的一种处理手段，这种分解是以CMP道集为单位的。
Floating datum method is divide the static of relative fixed datum into two parts that are applied to seismic data before and after NMO respectively and the division is done on CMP gather.
研究了油田生产中成本控制问题，将成本的核算单位详细划分到单井，并将其细化分解。
An study is made of cost control in oilfield production. The actual practice is to divide accounting unit step by step until individual Wells and then to subdivide them.
要实现上述内部控制目标，应确定单位内部每一管理阶层所应达到的具体目标，进行目标分解；
To achieve the above objectives of internal controls should be determined by the Internal management of each specific goals to be achieved, for target decomposition;
原子结合形成分子。分子是一切物质可以被分割的最小单位。例如：分解水分子后，水就不再存在，剩下的只是构成水的原子——一个氧原子和两个氢原子。
When you break up a molecule of water, for example, you no longer have water at all, but only the atoms of which water is made — one atom of oxygen and two of hydrogen.
原子结合形成分子。分子是一切物质可以被分割的最小单位。例如：分解水分子后，水就不再存在，剩下的只是构成水的原子——一个氧原子和两个氢原子。
When you break up a molecule of water, for example, you no longer have water at all, but only the atoms of which water is made — one atom of oxygen and two of hydrogen.
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