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In the problem, there are m persons who are to be assigned to do n jobs, and the number of the persons who are assigned to do the jth job is bj, where bj is an unknown positive integer number to be calculated such that djbjej, dj and ej are known positive integer number (j=1,2,…,n) such that ∑nj=1bj=m and m≥n.

考虑一类较一般的最优指派问题：欲指派m个人做n项工作，要求每个人只做一项工作，第j项工作可以由bj个人共同去做，其中bj是待求未知数，满足dj≤bj≤ej(即ej，dj为第j项工作所需人数的上下限)及∑nj=1bj=m，dj，ej为已知常数，j=1，…，n。

The "pointillistic" style of Webern — in which individual sounds are carefully placed within the piece such that each has importance — was very influential in the years following World War II among composers such as Pierre Boulez and Karlheinz Stockhausen.

魏本的"pointillistic"风格使乐曲中的每个个别的声音都具备结构的重要性，这个风格影响了二战后的作曲家如布列兹和史托克豪森。

The cast coated sheet comprises a substrate and a brushed coating layer comprising a pigment, a functionally effective amount of latex such that a dried unbrushed layer of the coating will not adhere sufficiently to the casting surface to allow the unbrushed layer to be cast, and a functionally effective amount of brushing agent such that damage to the coating layer surface during brushing is minimized.

该铸塑涂布平张纸含有一个基片和一层涂刷过的涂层，该涂层包括涂料，含量为功能有效量的乳胶液，使得该干燥的未刷涂层不与铸塑涂布面充分粘接到足以对该未刷涂层进行铸塑涂布的程度，和含量为功能有效量的涂刷剂，使得在涂刷过程中对该涂层的损伤减到最小。

Through such a study, it is also shown that when the time delay is long enough such that the stability switches of the equilibrium of system halt, the bifurcation branches originated from the critical time delays cannot be surely stable or unstable in the whole solution space, that is, their stability depends on cases.

利用打靶法的数值结果说明了当系统平衡点不再发生稳定性切换时，源自这些临界时滞处的解支的稳定性在整个解空间的稳定性具有不可判定性，这也说明由多尺度法所得高阶近似判定的解支的稳定性事实上只表示解支在局部中心流形上的稳定性，而非在整个解空间中的稳定性。

It is divided into 7 parts, including avoiding pronouns, legal archaisms, use of such instead of this and that, homonyms, synonyms, use of wishee, escapee, and laughee, and legal slang, in which precision of legal English is greatly detailed.

分为七个部分：避免使用代词，使用法律古语，用such代替this和that，同音异义词，同义词，使用以-ee结尾的词以及法律俚语。

Moreover, the control circuit (103) is designed in such a way that it can be used to control at least one of the varactors (105, 109) so that a resonant frequency of the corresponding resonator can essentially be set to a predefined transmission frequency such that the output voltage of the corresponding resonator of the input circuit can be increased.

而且，控制电路(103)设计为可以用于控制至少一个变容二极管(105，109)，使对应谐振器的谐振频率可被实质上设置为预定义的发射频率，以增大对应输入电路谐振器的输出电压。

That there exists a fixed number I such that for any , there exists a such that if the length of the longest diameter of those subregions in a partition of D is less than , then

假设存在一个确定的数满足：任给，存在，使得当各小区域的直径中的最大值小于时，就有

For a finite group G, a subgroup H is called c-normal in G if there is a normal subgroup K such that G=HK and H∩K≤H, the largest normal subgroup of G contained in H. c-normality was replaced by c-π-quasinormality or c-sub-normality. The following were showed equivalent. First, there is a solvable maximal subgroup M such that M is c-π-quasi-normal in G.

推广了有限群中的c-正规性概念，引入了c-次正规性和c-π-拟正规性概念，并利用新概念给出了有限群可解的几个条件，证明了：设G是有限群，那么，下述条件是等价的：G有一个极大子群M在G中是c-π-拟正规的而且是可解的。

A self-converse Mendelsohn packing design of order v, denoted by (v, k,1)-SCMP, is defined to be a triple, where B is a collection of k-circuit of X such that every ordered pair of distinct points of X appears in at most one block of B, and / is a permutation on X such that Here, and whenB=(x0 ,x1,xk-1). The number of blocks in a (v, k, 1 )-SCMP is upperbounded by where 1 if v=l ande =0 , otherwise.

一个阶为v，区组大小为k的自反Mendelsohn填充设计，记为—SCMP，定义为一个有序三元组，其中X为v元点集，B为X的一族循环有序k元组，f为X上的一个置换，它满足如下性质：(1)对任意x，y∈X，x≠y，有序对至多包含在一个区组中；这里区组当且仅当和一个—SCMP所含的区组个数不超过，其中当V(v-1)≡1时，ε=1；否则ε=0。

According to the features of natural language, conduct a deep study and comparison in many fields such as the algorithm optimization, features'representation and selection, multi-class problem, parameter selection and probabilistic output of support vector machine such that the general machine learning technology can be applied into natural language processing tasks. 2. According to the feature of lexical tagging , propose a novel disambiguate algorithm that improves the performance and efficiency of this task and provides a good fundament for deeper analysis.

针对自然语言处理任务的特点，对于算法优化、特征的表示和选择、多分类问题、参数选择和支持向量机的概率输出等问题进行深入的研究和比较，使自然语言处理任务可以应用通用的高精度机器学习方法得以解决。

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％。