查询词典 terminating continued fraction

The result verifies that the discrete model with power series direct discretization method requires 100 memory length to obtain the better approximation, while one with continued fraction direct discretization method requires only 10 order. Thus the continued fraction direct discretization method is preferable to digital realization of fractional order control algorithms in engineering applications.

研究结果表明，幂级数直接离散法得到近似离散模型需要记忆长度为100方可获得较好的近似，而连分式直接离散法近似离散模型为10阶时就可以获得较好的近似，因此连分式直接离散法比较适合于分数阶控制算法的实际工程应用。

Via generalizing the Cauchy method we obtain a new method,called the modified Cauchy method.By means of this method we establish two bilateral _3ψ_3 and _4ψ_4 series summation formulae,two four-term summation and transformation formulae for unilateral _3φ_2-series and bilateral _3ψ_3-series,and two five-term summation and transformation formulae for unilateral _3φ_2-series and bilateral _3φ_3-series,which contain many known results as their special cases,such as non-terminating q-Saalschütz summation formula,Bilateral _6ψ_6 series summation formula of Bailey,non-terminating Watson transformation formula and some transformations of _3φ_2-series etc.

通过对Cauchy方法的推广，我们得到修正的Cauchy方法，采用这个方法分别得到两个双边的_3ψ_3和_4ψ_4基本超几何级数的求和公式、单边_3φ_~(2-)级数和双边_3ψ_(3~-)级数的两个四项求和变换公式和两个五项求和变换公式，它们包括许多已有的结果为特例，如非终止的q-Saalschütz求和公式、Bailey的very-well-poised双边级数_6ψ_6求和公式、非终止的Watson变换公式和一些关于单边_3φ_(2~-)级数的变换公式等。

Through the hypersingular integral equations of 3-d crack perpendicular to the interface given in the preceding, the principles of finite-part integrals and of limit are further made use of to pick the hypersingular integral equations of 3-d crack terminating at the interface On the basis of the equations, starting strictly from 3-d theory of elasticity, stress singularities of intersection-line near the front edge of the 3-d crack terminating at the interface are analyzed by virtue of dominant-part analysis of 2-d hypersingular integrals.

根据前面所得到的与界面垂直的单片裂纹超奇异积分方程，进一步运用有限部积分原理和极限理论，推导出了与界面垂直相抵的三维平片裂纹的超奇异积分方程。在此基础上，严格从三维理论出发，使用二维超奇异积分的主部分析方法，对与界面垂直相抵的三维平片裂纹前沿交线上的应力奇性指数进行了分析。

The invention provides a touch input method and a portable terminating set. The touch input method which is applicable to the portable terminating set comprises the following steps that: a touch instruction is received; the touch instruction is calculated in a range to get a press area; a cursor is generated according to the touch instruction; the cursor is arranged selectively in a preset range on the periphery of the press area according to the current position of the press area.

本发明是有关于一种触控输入方法及可携式终端装置，该触控输入方法是应用于一可携式终端装置，包括接收一触碰指令；对触碰指令作一范围演算，并得到一按压区；根据触碰指令产生一游标；以及根据按压区的一目前位置选择性地将游标配置于按压区外围的一预设范围内。

It shows that in some circumstances, not only the weight 2 self-terminating sequence, but also the compounds of the weight 2 self-terminating sequence have significant affections on the low weight distribution.

仿真显示，在有些情况下，不仅重2自结尾序列对低码重分布有重要的影响，重2自结尾序列的组合对低码重分布也有着重要的影响。

Formulae for the structural volume fraction of phases and the quantitative relationship between the phase amount s obtained respectively by calculations in atomic fraction and in mass fraction of elements are derived for multi-phase alloys.

导出了多相合金组成相结构体积分数以及用成分的原子分数与质量分数求得的相含量之间的关系。

"In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator."

简分数的分子和分母都是整数；如果分子或分母本身也是分数，则称为繁分数

"In a simple fraction, both are integer s. A complex fraction has a fraction in the numerator or denominator."

简分数的分子和分母都是整数；如果分子或分母本身也是分数，则称为繁分数

In common glass fiber reinforced polyolefine pipe, when the volume faraction is less than the critical value, the glass fiber can not act as reinforcement, on the contray, it would reduce the whole intensity of the compound material. However, when extruded in combined stress field, the extend intensity of the compound system increases when the volume fraction of glass fibers is less than the critical value. When the glass fiber volume fraction is higher than the critical value, the required glass fiber volume fraction of compound fibers extruded in the combined stress field is less than theory value.

一般玻璃纤维增强管材在常规挤出时当添加的玻璃纤维体积含量小于临界体积分数(当添加的玻纤的复合体系拉伸强度等于基体聚合物材料的拉伸强度时的玻纤体积分数)时，玻纤起不到增强的作用，反而会使复合材料的整体强度降低；但在复合应力场下挤出时，当添加的玻纤含量小于临界体积分数时，复合体系的拉伸强度不但没有降低反而升高了；当添加的玻纤含量大于临界体积分数时，复合体系要达到同样强度，经过复合应力场的玻纤增强管材需要的体积分数小于理论值。

Linear solvation energy relation was firstly introduced in the paper, and the method and step of gaining the special parameters of solvent and solute were introduced in detail, and these special parameters were used to selection and optimization of extractive agent in extractive distillation. The model of predicting activity coefficient at infinite dilution was established by linear solvation energy relation. By the above theory, several candidate solvents were selected to separate C5 fraction, and by experiment of vapor-liquid phase equilibrium at atmosphere pressure, the mixture of N-methyl-pyrrolidone including 4% water was used extractive agent of separating C5 fraction. Then binary vapor-liquid phase equilibrium of the some compound in C5 fraction and N-methyl-pyrolidone were determined at atmosphere pressure and correlated by NRTL equation. Isoprene being objective compound, experiments were operated in the laboratory-scale column; the processes were simulated by RadFrac model in ASPEN PLUS. And by the combination of experiment and simulation, the new process of separation of C5 was established.

本文首先对线性溶剂化能关系进行了分析介绍，也介绍了采用溶剂化能关系得到溶质溶剂特性参数的方法步骤，并将这些参数用于萃取精馏萃取剂的选择与优化；也通过线性溶剂化能关系式建立无限稀释活度系数预测模型，取得了一定的预测精度；将通过上述方法初选的溶剂进行了常压汽液平衡的测定研究，通过实验研究选定含水4%的N-甲基吡咯烷酮溶液做为C5分离的萃取剂，测定了大量N-甲基吡咯烷酮与C5组分的二元平衡数据，并进行关联计算；以异戊二烯为目标产物在实验室规模的精馏塔内进行了C5分离的实验研究，取得大量塔内数据；通过选用合适的热力学模型，采用ASPEN中RadFrac模块对分离过程进行模拟研究，通过实验与模拟相结合，建立了C5分离的新工艺，为将来的工业化打下了坚实的基础。

Foods high in this vitamin include oily fish such as salmon, tuna and, and fish liver oils.

维生素D含量高的食物包括诸如大麻哈鱼、金枪鱼和鲭鱼之类的油鱼以及鱼肝油。

We need you to cosign our public letter demanding that press intimidation cease immediately, and that all charges be dropped.

我们需要您cosign我们的公共信，要求记者立即停止恐吓，并要求所有收费下降。