查询词典 rational fractional function

By analyzing the compute results of the integral-exponent-function and the fractional exponent function, conclusion is obtained that the second will improve the precise for its superiority in avoiding "Romberg" phenomenon.

通过对比分析整数次幂和非整数次幂拟合的计算精度，得出了非整数次幂逼近拟合能消除龙格现象，使用非整数次幂进行拟合可使精度提高的结论。

And the optical transfer function is the special case of fractional transfer function.

指出常规傅里叶变换下的光学传递函数为分数传递函数的特例。

Because one need to search H in the range of 110, 1 and calculate the autocorrelation function many times, the concise formula of autocorrelation function of discrete fractional Gaussian noise is used to improve the processing speed. Simulation results have shown that it can estimate H accurately and more effectively than conventional LMS based on autocorrelation ftinction for both pure fractal signal and noise-corrupted fractal signal.

接着我们研究了在白噪声背景下进行分形参数估计的相关函数法，针对其在计算中需反复使用自相关函数的特点，提出了一种改进的相关函数法，实验表明，改进的方法在精度上几乎没有损失，而大幅度地提高了计算效率。

One position control system is introduced as the objective controlled by FOC. Based on Mittag-Leffler function, the fractional order control system with full memory length is adopted as evaluation criterion, and an approximation performance function of discretization methods is proposed. Analyzing the time domain error and approximation performance, the investigation to various discretization methods is carried out comparatively in detail.

引入一个位置控制系统作为分数阶控制对象，将Mittag-Leffler函数的全记忆长度分数阶控制系统作为评估基准，提出了一种离散算法的近似性能函数，通过时域误差分析以及近似性能分析，对比研究了分数阶微积分算子的数字实现方法。

It is difficult to compute directly the coefficients from the integral formula, since the integral function in the formula of the ideal digital fractional differentiator is a high-order oscillating function.

从理想数字分数微分器系数计算公式的特点考虑，利用变量代换把积分函数中的振荡因子转换成积分上限，避免高阶振荡函数积分计算，给出了计算分数微分器系数的递推公式。

It was suggested that aging did not only influence diastolic filling period, but also influence STI. 3. With increasing age, whether at rest or during exercice, fractional shortening of minor semiaxis, mean velocity of circumferential fiber shortening, cardiac index and ejection fraction did not change, but immediately post pacing, PEP prolonged and PEP/ LVET increased in elderly group and did not change in young group. It was suggested that STI was sensitivity in detecting systolic function of LV. 4. There was a good correlation between aging and decreased compliance and diastolic function of left ventricle which was manifested by a reduction of early diastolic peak folw velocity, time-velocity integral of early diastole, 1/3 filling fraction (1/3FF)(r=-0.958,-0.875 and -0.937, P＜0.01～0.001) and a significant compansatory increase in peak flow velocity of atrial contraction, time-velocity integral of atrial contraction, the ratio between APFV and EPFV and the ratio of ATVI and Total TVI (r=0.958, 0.956, 0.966 and 0.986, P＜0.001) and the prolongation of Dec T and RFP with increasing age. It was particularly true for the subgroups above the age of 50 years.

静息状态下收缩时间间期与年龄无相关性，负荷后即刻，老年组射血前期延长(P＜0.05)，射血前期与射血期比值加大(P＜0.05)，青年组无变化，提示年龄因素亦影响STI，但由于静息状态下得到代偿，STI变化往往表现不明显。3、静息及负荷状态左室短轴缩短率、平均周径缩短率、心指数及射血分数均不随年龄增长而变化，而负荷后即刻老年组PEF延长，PEP/LVET加大，提示STI是检测左室收缩功能的敏感指标。4、随年龄增长，心房收缩期充盈峰值流速、流速积分、充盈分数及心房收缩期与舒张早期充盈峰值流速之比值显著增高(r＝0.958、0.956、0.986及0.966，P均＜0.001)，舒张早期充盈峰值流速及流速积分、1/3充盈分数(1/3FF)下降(r＝-0.958、-0.875及-0.937，P＜0.01～0.001)。

For a class of nondifferentiable generalized fractional programming problems with the norm \$‖Bx‖\-p\$ in the objective function involving, a new incomplete Lagrange function is given, and the saddle point optimal criteria are proven by using the existing necessary optimality conditions, under the assumptions of the class of generalized (\$F,α,ρ,d\$)-convexity.

对于一类目标函数中含范数‖Bx‖p的非可微广义分式规划，给出了一个新的非完全Lagrange函数，并利用已有的最优性必要条件，在一类广义-凸性的条件下，证明了鞍点最优性准则。

In the homogeneous model, the function of tendons is assumed to be uniform in some approximated way in order to form an equivalent homogeneous material within concrete. The formulation of the homogeneous model is same with that of general FEM for common continuum, let alone the elastic matrix being resultant of that of tendon and concrete. The computation is simple, but the approximate assumption makes this method cannot be generalized, because it only represents the constitution and function of tendons in such a rough way, that the numerical results are inaccurate. In the combined model, the function of tendon is considered by the stiffness matrix with rod element, then add it into the stiffness matrix of concrete by a rational way.

均匀类单元是设想将钢筋均匀弥散于整个单元中，使其成为一种连续均匀材料单元，这种单元的与一般有限元的单元刚度矩阵推导过程一样，只不过其弹性矩阵由混凝土和钢筋两部迭加而成的，此类单元刚阵计算简明而又不会扩大计算规模，但均匀弥散只是为计算简单而作一种假想，不贴近单元构造实际，也不符合实际作用效果。

During the first part, investigate the numbers and location of the different nature reserve, and review about its development, discuss the cause about the rapid developmeng about the protection areas of nature around Beijing. During the second part, this paper use the Geographical Information System to analyze the different sight function, plot our distinct function about the protection area of nature around Beijing. In the third part of this paper, the ecology function was special analyzed. This paper picked up several factor about the ecology and establish mathematics model to detect the most rational ecology distribution, bring forward the new constructive, wilder constructive and combination project. In the last parts of the paper, this paper use the Geographical Information System to analyze the different brim about the protection area of nature around Beijing, calculating the p/a and figure coefficient, and bring forward the brim theory for the nature reserve and city system.

在数量布局方面，包括北京周边各个不同级别的保护区的数目、位置分配布局和发展趋势研究，探讨北京市周边自然保护区数目和面积在99年和2000年突然增长的主要原因，以及今后北京自然保护区的发展方向；在景观布局方面，主要根据不同自然保护区的空间和功能的不同，计算延庆县各个自然保护区的景观多样性指数和景观优势度指数，并结合地理信息系统和航片，划分出不同的景观功能区间，以及各个功能区间之间的相互关系；在生态布局方面，综合考察北京周边自然状况，提取多项因子，建立评价模型，计算出各项因子权重，从而对其自然保护区的生态功能布局的合理性进行评价和趋势分析，为本文提出北京市周边自然保护区新建、扩建与合并的方案提供依据；在边缘布局方面，利用边缘效应理论和研究方法，创新提出&边缘类型样块分析法&，提取多个样方并结合地理信息系统，计算p/a比和自然保护区边缘的形状系数，划出自然保护区边缘效应趋势变化图，考察北京周边自然保护区的边缘效应，以及对城市的生态边缘功能。

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。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。