查询词典 recursion formula

The purpose of this paper is to present some ways of transformation based on decomposition of trigonometric reasoned formula of integral calculus, and furthermore, it can promote student s ability of integral calculation and use of recursion serial.

结合积分的计算，分析积分递推式的化归问题，三角有理式在积分中的拆分法的化归问题，有利于促进学生对于积分的计算以及递推序列的巧妙应用等数学能力的培养。

The contents involve the recursion algorithms, the dual functional of SBGB basis and the transformation formula between SBGB basis and Bernstein basis.

给出它们的递归算法，SBGB基函数的对偶泛函，并由此得到SBGB基函数与Bernstein基函数转换公式。

Present a new formula to evaluate the overflow value when upward recursion was used and an improved formula when downward recursion was used.

2利用Mie理论和尺度分布计算了水云的单次散射特性，和资料进行了对比，证明了本文计算方案的可行性。

An original basis is constructed on the space in this paper. This basis has the similar properties to Bézier basis of the endpoint and interpolation. Then H-Bézier basis is defined based on the space, also the formula of recursion is given when. Next the properties are discussed.

该文从上构造一组初始基，该基具有类似Bézier基的端点性和插值性，在此基础上定义空间上的H-Bézier基函数并给出了的递推公式，讨论了该基所具有的性质。

The recursion formula was derived based on the assumption that the mass ratio of thedrop breakup is uniformly distributed.We also proposed a piecewise power function to describethe drop size distribution.

由液滴以均匀概率分裂的假设而导出了液滴粒度分布函数的递推公式，并建议分布函数采用分段幂函数的形式。

Using a direct differentiationtechnique, a recursion formula for the evaluation of polymer mo-ments is deduced and the 0-th, 1-th and 2-th moments in explicitforms are given.

利用微商法给出了k-次矩满足的递推公式以及0-次、1-次和2-次矩的具体表达式。

In the last chapter, by introducing the isochronous center of real systems into complex planar and defining complex center and complex isochronous center, a concise linear recursion formula for period constants is given, necessary and sufficient conditions of complex isochronous center (the Time-Angle Difference Theorem) proved, conditions of real systems with linearizable center and saddle treated unitedly and the isochronous center conditions discussed fully for a class of real planar cubic systems.

在第七章，通过把实系统等时中心引入复平面研究，定义了复中心和复等时中心，给出了等时中心周期常数计算的简明的线性递推公式，证明了等时中心判定的充分必要条件，统一地处理了实系统具有可线性化的中心和鞍点条件，并对一类实平面三次系统的等时中心条件进行了完整研究。

RNA secondary structure;recursion formula;loops;stacks;combinatorial enumeration

论文导师王天明，论文学位硕士，论文专业计算数学

The main works of this paper are as follows.First, according to the three-step method, 1-D unsteady flow model in river network is introduced. A new topological structure is presented to describe and store the topology information and data in river network ,which realises the connection between GIS and the numerical program of hydraulic calculating and turns the program into a universal one .A new formula of internal boundary conditions with double-recursion algorithm is deduced, and the relationship of recursive coefficient between imaginary channel length and non-imaginary channel length is presented ,which makes sure that the model can comprise the numerical simulation of the internal boundaries such as side pipe outflow ,barrage, slice gate and drainage pump station.

主要工作如下：(1)根据三级解法建立了一维河网非恒定流模型，并提出了一种新的数据结构来描述和储存河网拓扑信息，方便了GIS平台和数值计算程序的衔接，实现了三级解法程序的通用性；从河段方程组出发，根据虚设河段法推导出了内边界条件的双追赶法公式，指明了虚设河段的追赶系数和非虚设河段追赶系数的关系，从而使模型可以模拟集中旁侧入流、堰、闸、水泵等内边界对行洪过程的影响。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。