查询词典 abelian function

From this,it is proved that when all the ratios of a subaddtive function defined on the interval(0,+∞) to the value of its variable form a bounded function ,the subaddtive function must have supremum and infimum functions,which are homogeneously linear functions.

从这一结果出发证明了，当定义在(0，+∞)上的次可加函数与其自变量之比为有界函数时，次可加函数必存在上下确界函数，并证明了其上下确界函数均为齐次线性函数。

By means of traditional criterions of generalized integral's convergence and divergence, this paper, from the analysis of integrated function's nature, discovers a series of new criterions, which are briefer and more suitable: on the aspect of generalized integral for functions of a single variable, through the investigation of integrated function, together with the inner relationship between positive series and generalized integral in infinite interval under the condition of positive function, it gives several criterions of generalized integral's convergence and divergence, which are similar to positive series' criterions of convergence and divergence.

本文从分析被积函数本身所具的性质出发，借助传统的广义积分敛散性判别方法，发现1系列更简捷适用的新判别方法：单变量函数广义积分方面，通过考察被积函数，结合正项级数与正函数情形下无穷区间上广义积分的内在联系，给出了几个与正项级数敛散性判别法相类似的广义积分敛散性判别方法；多变量函数广义积分方面，着重讨论了广义2重积分和广义3重积分，结合被积函数的特点，运用比较判别法和柯西判别法，本文给出了判别广义2重积分收敛的1种新方法。

This method uses the strong non-linear mapping ability which the RBF network has and its short-time training merit to construct the network, substitutes the non-analytic function, make it to instate of the optimized question of the objective function, and iterates this objective function with the genetic algorithm to search the optimal solution.

该方法利用RBF网络所具有的非线性映射能力强，训练时间短的优点，构建网络，替代非解析函数，使之作为优化问题的目标函数，并用遗传算法搜索迭代出该目标函数的最优解。

The growth of functions in these spaces depends on a weighted function ρ. We investigate the relation between growth and boundary values of the functions, and prove that a function or its radial derivative is in one of the spaces if and only if the p'integral average of the difference of its boundary value function is integrable or bounded.

研究这些函数空间中函数的增长性与边界值的关系，得到了函数或其径向导数属于相应空间的充分必要条件是其边界值差分的p次积分平均应具备一定的可积性或有界性。

A method of construction of Liapu-nov function is given. This Liapunov function has form of x plus an integral of a nonlinear function ?

提出一种处理"二次型加非线性函数的积分"形式的函数的方法，并得到一个新的绝对稳定准则。

When computing the diagonal elements of the Galerkin matrix, one will encounter the integral of Hankel function, the Green's function of 2-dimensional Helmholtz equation and the cosine weighting function, whose integrand is singular in the integration range. A new approach is proposed to deal with this kind of singular integrals, which is pivotal but have not been reported so far.

首先建立了透镜边缘上任一点的电场满足的边界积分方程，然后选择适当的正交模式函数展开端口上的电场分布，采用边界元法的思路及Galerkin法将该积分方程离散化为—矩阵方程求解即可得到透镜的多模式散射参数。

In the spiral pipe heat exchanger exports terminal, the ammonia steam temperature has been heated up 85 ℃--95 ℃, by now, the ammonia steam had the 45kg-55kg/cm2 ammonia steam pressure, sent in the ammonia steam turbine through the constant temperature pipeline, impelled ammonia steam turbine revolving, led the generator electricity generation;After the ammonia steam makes the merit release energy, the temperature drop, the returns ammonia storage tank, passes through again adjusts the press pump to press into the spiral pipe-type heat exchangers to carry on the next circulation;Including the ammonia steam turbine entire ammonia steam road is becomes the independent closed cycle system, is isolates completely with the outside air;The ammonia steam only plays the carryhome and the shift energy role, in the electricity generation process does not consume the actuating medium, the stored energy carrier water also is only gets up the carryhome and the shift energy function,The waterway also is from becomes the independent closed cycle system, in the electricity generation process also the needless water consumption, through the actuating medium ammonia steam and the stored energy carrier water unceasing shuttle service, transforms through the heat interchanger the solar energy as the actuating medium ammonia steam heat energy and the kinetic energy,With the aid of the ammonia steam turbine heat - machine transformation function and the generator machine - electricity transformation function, has realized the solar energy hot - electricity entire conversion process, transforms continuously the solar energy into the electrical energy, power supply for foreign;The low temperature generating system must solve three big technical keys:One, the anticorrosion (has actuating medium has strong corrosiveness), two is Explosion-proof (Some actuating medium Can have the detonation with the air mix when divulging, controls warm malfunction, elevates temperature suddenly also can have detonation), three is guards against the revolution axis divulging

以太阳能低温发电系统为例，低温发电方法是这样进行的：以水作为储能载体的太阳能采集器将太阳能采集起来，将水温提升至85℃--98℃；用氨作为工作介质储于氨储罐及氨汽路中；采用螺旋管型热交换器；用调压泵将氨储罐中的氨汽压入螺旋管型热交换器的螺旋管内，用调压泵将携带太阳能的85℃--98℃的储能载体热水压入螺旋管型热交换器的螺旋管外壁空间进行循环式热交换，在热交换器的螺旋管出口端，氨汽温度已被加热到85℃--95℃，这时，氨汽具有45kg—55kg/cm2的氨汽压力，通过恒温管道送入氨汽轮机，推动氨汽轮机旋转，带动发电机发电；氨汽作功释放能量后，温度下降，返回氨储罐，再经调压泵压入螺旋管型热交换器进行下一次循环；包括氨汽轮机在内的整个氨汽汽路是自成独立的封闭循环系统，与外界空气是完全隔绝的；氨汽只起携带和转移能量的作用，发电过程中并不消耗工作介质，储能载体水也是只起携带和转移能量的作用，水路也是自成独立的封闭循环系统，发电过程中也不消耗水，通过工作介质氨汽和储能载体水的不断循环运行，通过热交换器将太阳能转化为工作介质氨汽的热能和动能，借助氨汽轮机的热—机转化功能和发电机的机—电转化功能，实现了太阳能的整个热—电转化过程，将太阳能源源不断地转变为电能，对外供电；低温发电系统要解决的三大技术关键：一是防腐（有的工作介质具有较强的腐蚀性）、二是防爆（有的介质泄漏与空气混合会产生爆炸，控温失灵，急剧升温也会产生爆炸）、三是防轴漏（汽轮机是动态旋转体，必须解决工作介质的防轴漏问题）。

This system has the space and time different interpellation, characteristic and so on relative stability, multiplicity and dynamic characteristic, but also has the production function, protects and restores the function, the expense and the destruction function.

该系统具有时空异质询性、相对稳定性、多样性和动态特征等特性，还具有生产功能、保护和恢复功能、消费和破坏功能。

To create a Perlin noise function, you will need two things, a Noise Function, and an Interpolation Function.

为了创建一个柏林噪声函数，我们需要两个东西，一个噪声函数和一个插值函数。

If there is a possibility of the existence of its inverse function, it will be easier to integrate the function by using its inverse function than by using normal integral way.

表面上看，这里边似乎有一定的规律性，实则需要大量的特殊灵活的技巧，显然，求一个积分往往不止一种方法。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48