查询词典 mathematical notation

To stability analysis of the tethered balloon, A three dimensional nonlinear mathematical model of tethered aerostat was assembled.

摘 要：为研究系留气球稳定性，建立了系留气球的三维非线性动力学模型。

Thismethod adopted affine transformation model and a Lie derivative-based analytical algorithm.We introduced the process and characters in extracting information of biological visionsystem, studied the feasibility of the generalized Gabor function used as receptive fieldfunction in extracting information and analyzed affine transformation group and Liederivatives. Finally, we deduced the mathematical denotation for Lie derivatives, i.e. theinfinitesimal generator of the geometric distortion in affine transformation.

对生物视觉信息提取的过程及特点进行了介绍，其中主要研究了广义Gabor函数作为感受野函数提取初级视觉信息的可行性；对仿射变换作为外界图像信息在视觉成像系统上的投影模型的原理进行了初步讨论；对Lie变换群微分算子用于提取仿射变换不变量的分析方法作了剖析，并推导了该方法中关键部分——仿射变换Lie微分算子的具体表达式，也就是几何变形无限小微分算子的计算表达式，使下一步编程实现该方法成为可能。

A mathematical model of dynamic neural networks is built, which is shown to be equivalent to an affine nonlinear control system.

引 言 神经网络系统是在现代神经生物学和神经心理学的研究基础上，模仿人的大脑神经元的结构特征和功能特征而建立起来的一种非线性系统。

And it has given the effects of the all factors on the runoff by 1D river networks mathematical model. Due to the natural and artificial influences, the water-sediment transport has greatly changed. It is characterized by marked decrease in runoff and sediment diverted from these outfalls and increase in water-sediment transport of main stream. The key factors causing these changes are aggradation of the three outfalls channels and Jingjiang river cutoff work.

结果表明，受自然因素和人为因素的影响，荆江－洞庭湖江湖水沙输移有了较大调整变化，主要表现为三口分流分沙大幅度减小，干流水沙输移增加；江湖关系变化的主要因素是三口分流道的淤积萎缩和荆江裁弯。

Based on gas dynamics,a mathematical model for the air brake system of train is established.

根据气体动力学原理建立了列车空气制动系统的数学模型，预测了制动系统紧急制动作用；陆界长度与机车大闸排气口面积、列车管定压及列车长度的关系。

Based on the typical structure of the air-cooled condenser of 600 MW unit, the three-dimensional physical and mathematical models for the flow and heat transfer of the cooling air in an air-cooled condenser cell with flow guiding device were established.

该文针对600 MW直接空冷机组空冷凝汽器的典型结构，建立了带有空气导流装置的凝汽器单元内冷却空气三维流动传热过程的物理数学模型。

In order to verify the validity of the mathematical models and the calculation method, a series of experiments on the performance of an air-conditioner under variable conditions was conducted in the psychrometric rooms.The performances of the proto type under the different inlet air temperature of the condenser and evaporator, as well as the different face velocity of the condenser and evaporator was measured.

为了验证数学模型及计算方法的正确性，在焓差法空调器性能实验台上对一台房间空调器变工况性能进行了实验研究，测量了该空调器在不同的蒸发器和冷凝器进口空气温度、蒸发器和冷凝器迎面风速下的工作特性。

Research on water hammer characteristics of air valves Research on water hammer characteristics of air valves has been studied in experiments by establishing mathematical model of the air valve, using suitable method of numerical calculation, and comparing the experimental outcomes with theoretical analysis.

空气阀特性研究试验研究了作为水锤防护装置的空气阀的特性，建立了空气阀数学模型，通过合适的计算方法进行数值计算，并与试验进行了比较。

This paper established a multi-objective mathematical optimization model based on the above analysis,and constructed air passenger services free shuttle system framework.

基于以上分析构建出航空客运票务服务免费接送系统的架构，并根据此架构，提出了可行性的设计。

In an earlier paper [2], we suggested the Mathematical model of helicopter rotor airfoil.

在[2]里，我们提出了直升机旋翼桨叶的数学模型。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。