查询词典 contiguous confluent hypergeometric function

When Zeilberger studied Sister Celine's Method in the late 1970s, he realized that one can prove a hypergeometric identity by checking a finite number of special cases. In the book "A=B" [37, p. 70], it is pointed that it is an interesting research question to ask how small we can make this a priori estimate of the number.

当Zeilberger在70年代后期研究Sister Celine方法的时候，他意识到一个超几何恒等式可以通过验证有限项来证明，在书《A=B》中进一步指出，研究这个项数的先验估计到底能达到多么小是一个有趣的问题。

When Zeilberger studied Sister Celine\'s Method in the late 1970s, he realized that one can prove a hypergeometric identity by checking a finite number of special cases. In the book "A=B" 37, p.

当Zeilberger在70年代后期研究Sister Celine方法的时候，他意识到一个超几何恒等式可以通过验证有限项来证明，在书《A=B》中进一步指出，研究这个项数的先验估计到底能达到多么小是一个有趣的问题。

Stack is a contiguous area of memory which is used for storing local objects of a function.

堆栈是一个连续的内存区域是用于存储一个函数的局部对象使用。

Its five visceras and six mansions is the entity"equipments" that carries on bio-chemical reaction continuously, but skeleton,muscle,skin etc. the organization then props up,protect these entity of equipments , and with the external world contiguous necessary outer circle hardware;The meridian is the living creature information system that colludes with to live the quick and the external world contact and combines to adjust bio-chemical reaction of oneself continuously;The acupoint then the information commutation crunode of the spirit lifeblood, the spirit blood this physiology media wears through the acupoint movement deeply to make in the viscera in the veins and arteries,function they adjust the speed,for enzyme that the bio-chemical responds process to provide continuously etc., live the human body normal physiology metabolism by assurance, maintain life to continue, evolution with multiply greatly.

其五脏六腑是不断进行生化反应的实体"设备"，而骨骼、肌肉、皮肤等组织则是支撑、保护这些实体设备，并与外界接触的必要外围硬件；经络是勾通活人体与外界联系、并不断调整自身生化反应的生物信息系统；腧穴则是经络的信息交换结点，气血这个生理传媒通过腧穴运行穿透于经络、作用于五脏六腑使它们不断调整生化反应过程的速度、酶供等，以保证活人体正常生理代谢，维持生命延续，进化和繁衍。

The resort's main claim to fame is that it is the largest contiguous ski area in Austria. Everything that is not forest or rock belongs to the ski pistes, so the resort's numerous sign posts have an important function to play.

皇帝山作为邻近奥地利的最大的滑雪场而声名鹊起，它的滑雪道上即没有木头也没有乱石，无数的路标在指引方向上起到了重要作用。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

We prove the equivalent conditions of completely monotone function, we also discuss the relationship of positive definite function, semi-positive definite function and completely monotone function when the function take values in a commutitive von Neumann algebras.

我们证明了完全单调函数的几个等价条件，并且讨论了取值于交换von Neumann代数的正定函数，半正定函数及完全单调函数之间的关系。

Properties of efficient portfolios and the efficient frontier to the model are systematically analyzed. Our main results concerning the properties are: every efficient portfolio can be solved by minimizing portfolio risk under a given level of portfolio return or by maximizing portfolio return under a given level of portfolio risk; on the efficient frontier, the risk is a convex and strictly increasing function of the return and the return is a concave and strictly increasing function of the risk; the utility function on the efficient frontier can be expressed as a quasi-concave function of the risk or the return if the investor's utility function is quasi-concave.

从理论上系统地对该模型下的有效投资组合和有效前沿的性质进行了分析，结果表明：每一个有效投资组合可通过在给定期望收益水平的条件下最小化投资组合风险来获得，或者在给定风险水平的条件下最大化期望投资组合收益来获得；在有效前沿上，风险是收益的严格单调递增凸函数，收益是风险的严格单调递增凹函数；当投资者的效用函数是拟凹函数时，则有效前沿上的效用可表达成风险或收益的拟凹函数。

The convex function develeped so many years that convex functionals are now a class of very universal functionals.The kinetic energy in the classical is the most natural convex function.Others like entropy and so on are convex functions.The economic core is closely connected with the convex function.The western economic core question is the optimized question.The optimized theory has something to do with the convex function and the concave function.

凸函数的发展经年已相当完善其应用非常广泛，在古典力学中的动能，就是最自然直接的凸函数，其他如熵……等均是，连经济学的核心都与之有极密切相关，西方经济学的核心问题是最优化问题，最优化理论又与凸函数与凹函数密切相关。

The decreasing conditions of an energy function are investigated by the use of convex function. By utilization of the primal convex function, the conditions are analyzed under which its conjugate function minus a quadratic function is also convex.

利用凸函数的定义研究了能量函数下降的条件，根据凸函数的性质分析它的共轭函数减去二次函数之差仍为凸函数的条件。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。