特殊函数

Specially named functions having a 'p_' prefix contain one or more productions and corresponding action code.

特殊命名的函数拥有一个'p_'前缀，包含一个或更多产品，以及对应的行动代码。

We characterize the optimal value function as the viscosity solution of the associated Hamilton-Jacobi-Bellman equation and we prove that there exists an optimal barrier strategy which is optimal among all admissible dividend strategy in some special cases.

通过HJB方程的粘性解理论来刻画最优值函数，并证明了一些特殊情形下界策略在所有可允许的分红策略中是最优的。

The study on the properties of arithmetical sequences is the kernel of the research in number theory.

一书。在该书中，他提出了105个关于特殊序列、算术函数等未解决的数学问题及猜想，随着这些问题的提出，许多学者对此进行了深入的研究，并获得了不少具有重要理论价值的研究成果。

There is a special class of functions which is particularly important in economics , namely the class of homogeneous functions.

有一种特殊类型的函数在经济学中特别重要，这就是齐次函数。

In this paper, several special problems about walsh functions have been reviewed on the basis of their bi-valued behaviour.

在本文中，从沃尔什函数的二值特点出发，讨论了有关沃尔什函数的几个特殊问题。

Third, The author analyzed the shimming method of the existing magnet system and programmed it. Because the base field homogeneity of the open magnet is worse and only passive shimming is available, it is necessary to study more effective shimming algorithm. The ordinary shimming method is based on the disintegration of the magnetic field using spherical harmonics. It is so tedious that involved in large scaled non-linear equations.

再次，详细分析了现有磁体系统的匀场方法，并通过编程运算，发现在开放型磁体这一特殊情况下，由于基场均匀度差和只能使用水磁材料垫补进行匀场等原因，基于对磁场分布用球谐函数分解并消去球谐函数高次项的常规匀场方法在实现上相当繁琐，牵涉到大型非线性方程组的求解，所以必须采用更有效的匀场算法。

Since the commutators of both sing-ular integral operators and fractional integral operator with BMO functions areone of the special cases of〓,so the discussion of the boundedness of〓notonly gives a new proof of the boundedness of the two commutators,but al-soweakens some of restrictions into discuss the problem,thus it impro-vessome of results inwith the method of complex analysis,show-ed boundedness of〓,then directly obtained boundedness of the commutato-rs of fractional integral operator with BMO functions.

既然奇异积分算子和分数次积分算子与BMO函数的交换子是其特殊情形，所以〓的有界性的讨论不仅给出了中关于这两类交换子有界性的一个新的证明，而且减弱了中讨论这一问题时对齐型空间所作的限制，从而改进了中的结果（利用复分析的方法，先证明〓的有界性，从而直接得到分数次积分算子与BMO函数的交换子〓的有界性。

As their application, we obtain some indentities for the infinite products from the new expression in the special cases of these fuctions, and establish simultaneously a kind of inequalities with their convexities.

作为应用，在特殊情况下得出了这些广义函数的新的表达式，由此出发得到了一些关于自然数和合数的无穷乘积的恒等式，同时由广义函数各种凸性建立了若干解析不等式。

For 2p〓-periodic binary sequences, a new weight function, according to the above presented vector expression of the linear complexity, is defined. By analyzing the weight of the product of a special kind polynomial in finite field, the upper and lower bounds on minimum error, expressed by the here denned weight of the linear complexity, are given in different cases.

对于2p〓-周期二元序列，利用所给出的线性复杂度的向量表示定义了一种新的重量函数，通过研究有限域上一类特殊多项式乘积的重量，分情况给出了用线性复杂度的重量表示的最小错误minerror的上界和下界，这里的重量是由我们所定义的重量函数确定的。

There is also a few CPU specific operations you cannot write in C, those being Interrupt Service Routines that return with IRET (on i386 machines) opcodes and other functions such as commands to load the GDT (i386) can be inlined but still require using assembly.

也存在少数的CPU特殊指令不能用C写的，那些用IRET(i386机器上的)返回的中断服务例程，和那些诸如装载GDT(i386)命令的函数，可以使用内联函数，但是必须使用汇编语句。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。