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In [3], Professor Wang Xian-dong discussed the evaluation modules of Loop algebras of Lie algebras with a triangular decomposition; particularly, irreducibility of the tensor product of finitely many such modules was partially determined.

在[3]中,王宪栋教授讨论了可三角分解李代数其Loop代数的值模;特别值得一提的是,在一定程度上确定了有限多个值模其张量积的不可约性。

Finally, after defining an evaluation module of the corresponding Loop superalgebra (Section 4), two major results of the paper -Theorem 4.land Theorem 4.2 are proved: Theorem 4.1 reduces the irreducibility of the tensor product of finitely many evaluation modules to the irreducibility of the tensor product of finitely many irreducible modules of a nilpotent Lie superalgebra; Theorem 4.2 gives a criterion for the tensor product of such modules to be irreducible.

第4节在定义了相应的Loop超代数的值模之后,证明了本文的两个主要结论:定理4.1和定理4.2。定理4.1将有限多个值模其张量积的不可约性归结为一幂零李超代数的限多个不可约模其张量积的不可约性;定理4.2利用不可约指标给出了一幂零李超代数的限多个不可约模其张量积仍不可约的判别准则。

Most important palace subject matters is composed by great writers, coming Irvin the heyday of Han Dynasty, but it narrate and can't fetch visual angle like characteristic to the more lyrical.

汉代最重要的宫怨出於大作家之手,产生於汉大全盛期,但其叙述的视角和取像的特点却对抒情小具有极大的示范作用。

Op1 + op2 The addition operator will add two numbers. op1 - op2 The subtraction operator will subtract two numbers. op1 * op2 The multiplication operator will multiply two numbers. op1 / op2 The division operator will divide two numbers. op1 % op2 The modulus operator will return the remainder of the division of two integer operands. op1 xx op2 The exponentiation operator will raise op1 to the power of op2.++op1 The pre-increpment operator will increase the value of op1 first, then assign it. op1++ The post-increment operator will increase the value of op1 after it is assigned.--op1 The pre-decrement operator will decrease the value of op1 before it is assigned. op1-- The post-decrement operator will decrease the value of op1 after it is assigned.

op1 + op2 对两个数值做加法操作 op1 - op2 对两个数值做减法操作 op1 * op2 对两个数值做乘法操作 op1 / op2 对两个数值做除法操作 op1 % op2 求两个整型数值的余数 op1 xx op2 求幂操作:求 op1 的 op2 次幂++op1 前加操作: op1 的值先增加,然后将值给自身 op1++后加操作: op1 的值先给自身,再增加值--op1 前减操作: op1 的值先减少,然后将值给自身 op1—后减操作: op1 的值先给自身,再减少值

Motivated by Baker\'s result, we introduce a functional index‖E‖_∞to prove that if a mapping f which is from a normed space to a normed algebra satisfying‖ab‖=‖a‖‖b‖satisfies that‖E‖_∞is bounded,then either f is bounded or f is exponential.

受到Baker的结论启发,通过引入一个泛函指标‖E‖∞,证明了从范空间到满足范数可乘性的范代数的映射f,只要满足‖E‖∞是有界的,则f要么是有界的,要么是指数的。

Chapter 3, we study the stability of approximate solutions of nonlinear equation problems(the continuous function is defined in the linear normed space).We prove that most of approximate solutions of nonlinear equation problems are stable; all accurate solutions are the essential points of the set of approximate solution; the connected component which contains the accurate solution is the essential component of the set of approximate solution; especially the number of essential components is finite.

第三章,研究定义在线性范空间上的非线性方程问题近似解及其解集的稳定性,得到线性范空间上在Baire分类下大多数非线性方程问题的近似解都是稳定的;精确解是近似解集的本质解;包含精确解的近似解集的连通区是本质连通区;包含精确解的近似解集的连通区为有限个。

Every time you assign another number to a variable, you are creating a new object and assigning it.

每次将另外的数字给变量的时候,实际上创建了一个新的对象并把它给变量。

First, based on the mathematics model of comprehensive decision at present, the concept of evaluation function is introduced. Based on the thinking stability of decision-maker, the essential meaning of comprehensive decision model is discussed, therefore, and a new improved approach on the comprehensive decision model is put forward. Second, the mathematics model of interval number comprehensive decision is systematically discussed, and the ranking method of interval number based on the decision-maker's attitude is provided. Finally, the concept of valuation order relation is introduced, the valuation order relation of interval number and fuzzy number are systematically discussed in detail, it provides a new method to research the order relations of interval number and fuzzy number, therefore, these achievements can be applied in the intelligent system.

首先,针对常用的综合决策模型,给出了评判函数的概念,讨论了综合决策模型的本质意义,指出决策者的思维应具有稳定性,从而给出了综合决策模型的一种改进方法;第二,在此基础上,给出了区间数的综合决策模型,并详细讨论了基于决策者的决策心态的区间数的排序方法;第三,引入了值序关系的概念,详细讨论了区间数和模糊数的值序关系,为区间数和模糊数的序关系研究提供了新的思路与方法,这些均有望在智能系统中得到广泛的应用。

Furthermore, debugging tools and program analyzing tools will be more powerful if an efficient pointer analysis module is embedded Right for the importance of pointer analysis, many studies have been done in order to find an efficient and effective solution to pointer analysis. Many pointer analysis algorithms have been developed too.

正因为指针分析具有诸多非常重要的意义,曾有许多学者对这个问题进行了研究,也提出了多种指针分析的算法,然而以往的指针分析方法存在着如下不足:对值语句的指针分析还不够完善,这尤其表现在对结构值语句以及对递归数据结构内递归数据域的分析上。

As one example, the assignment operator is right associative. This fact allows concatenated assignments

其中之一使用了值操作的右结合性,这个特性允许将多个值操作串接起来

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The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应,而且减少跟风的可能性。

The new PS20 solar power tower collected sunlight through mirrors known as "heliostats" to produce steam that is converted into electricity by a turbine in Sanlucar la Mayor, Spain, Wednesday.

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