查询词典 improper fractional function

For a class of generalized fractional programming whose objective function is composed of infinite fractions,the saddle-point type optimality criteria are proven by using the existing necessary conditions,under the assumption of the class of B--invexity.

对于一类目标函数中有无限个分式的广义分式规划，给出一个不完全Lagrange函数，并利用已有的最优性必要条件，在B--不变凸性的条件下，证明了鞍点最优性准则。

Indices, including average line loading, average line flow limit per MW served, line investment ratio are proposed to quantify the stress level of the system, while the probability distribution function of fractional load shed and total failure components, cascading failure frequency, and risk are used for the risk analysis of cascading blakcouts.

论文提出了网络利用率、单位平均投资和线路投资比等指标，对系统的临界水平进行量化；并采用连锁故障灾难度的概率分布函数、连锁停电事故频度和风险等指标分析电力系统的连锁故障风险。

Considering that the modular function of fractional Fourier transform of LFM signal is symmetrical, unilateral and strictly monotone, this method employs global-first-local-second search algorithm to obtain the main ridge slice of LFM signals.

该方法利用LFM信号的分数傅立叶变换模函数具有对称性，且单边单调的性质，采用先全局后局部方式搜索LFM信号主脊切面。

Considering that the modular function of fractional Fourier transform of LEM signal is symmetrical, unilateral and strictly monotone, this method employs global-first-local-second search algorithm to obtain the main ridge slice of LEM signals.

该方法利用LFM信号的分数傅立叶变换模函数具有对称性，且单边单调的性质，采用先全局后局部方式搜索LFM信号主脊切面。

If we don't specify a format in the call to trunc, that function returns a date by removing the fractional part of the day.

如果我们不向trunc函数指定返回的日期格式，该函数返回一个被截取了时间部分的日期

This approach is based on the increments of the fractional Gauss noise and its auto-correlation function.

它保证了在图像中测量的纹理是由实际路面表面纹理直接确定的。

In chapter 3,we study several kinds of fractional differentiabli-ties,and prove the inverse function theorems and Whitney extendedtheorems concerned to them.

第三章研究几种分数可微性，并证明了与它们相关的反函数定理以及Whitney扩张定理

In §1. 2, we gave the definition of the Riemann-Liouville operators of the fractional calculus and the basic properties of these operators. In§1. 3, we introduced the definition of the generalized Mittag- Leffler function E〓 and proved the inverse Laplace transform formula below,〓(1) which was used frequently in this paper.

在§1.2节中，主要介绍了Riemann-Liouville型分数阶微积分算子的基本定义以及主要性质，在§1.3节中则给出了广义Mittag-Leffler函数〓的定义及其基本性质，同时证明了如下Laplace逆变换公式：〓在本文中，公式（1）将被多次引用。

Characteristic data have been worked out, including the maximum Lyapunov index λ, fractional dimension D, lacunarity Λ and eight energies of various frequency bands. After being normalized, they can function as the characteristic vectors. Then, they are transmitted into an artificial neural network to perform pattern recognition.Starting from the mechanism of ultrasonic generating, initial ultrasonic pulses are calibrated. A stylish discharge source is directly coupled with the ultrasonic sensors, and work out actual discharge magnitude.

利用非线性和非平稳的方法对超声波信号进行了分析处理，对于局部放电模型得到的信号，计算了超声波信号的Lyapunov指数、分维数D、空缺率、小波包分解的8个频带能量，得到了11个特征数据，归一化处理后形成特征向量，由人工神经网络进行识别，实现了对局部放电典型模型的模式识别，显著提高了模式识别的正确率，并分析了传播途径对识别的影响。

Some new results on the most practical design techniques—Gain Scheduling control have been acquired via applying approaches of poles assignment, parameter Lyapunov function approach and robust control based on linear fractional transformation , parts of which have been applied in the control systems design of underwater vehicle.

本论文针对工程上最常用的设计方法变增益控制，应用极点配置、参数Lyapunov函数法、基于线性分式变换的鲁棒控制方法进行了研究，得到了一些新的结果，并把部分结果应用到国防尖端武器水下潜器的控制系统设计中，得到了优于冻结系数法的控制性能。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。