多线性的

Based on a bilinear transformation in multidimensional spaces, a neural-network based nonlinear analog fault diagnostic system for actual circuits is proposed.

本文提出了一种基于电路双线性函数在多维空间的变换与神经网络相结合的非线性模拟电路故障诊断新方法。

Hierarchical linear models for categorical data are seldom applied in the field of psychological research in China.

分类数据的多层线性模型在我国的心理学研究中鲜有使用。

At last, the systems of continuous wave radar and impulse radar are developed based on simulations for modern radar.

在连续波雷达测量系统中，应用了基于线性调频信号的数字化多频测距改进算法，提高了雷达的测量精度。

Therefore, the coordinate transformation method and related math software can be used for Lagrange modeling.

因此，对该类系统应用Lagrange方法建模时，可应用坐标变换的方法，利用数学软件推导，然后再线性化，得到系统的多自由度动力学方程。

Moreover,a cutting plane method of interactive linear multiple object decision which is more practical for decision process is used to solve the model.

利用更接近于实际决策过程的交互式线性多目标决策的割平面法对模型求解，给出了计算实例与分析。

Under the optimum conditions, good linear work curve was obtained by this method to determine four kinds of PAHs.

选择最大荧光峰值位置对四种多环芳烃做工作曲线，呈现较好的线性关系。

Based on this, aim at the disadvantage on Wigner Distribution and Fractional Fourier Transform that can't restrain noise interference effectively when be used to detect Linear Frequency Modulated signals interfered by heavy noises, we proposed a improved WD. Simulation results show that this method can restrain noise interference effectively and improve the ability of LFM signals detection. On the other hand, in multi-component cases, WD suffers from the cross-terms, which may impair some of the auto-terms. In order to separate original multi-component signals into components and reconstruct them separately, we can use the method of optimal filtering in fractional Fourier domain. But this method also has a problem that if signals have aliasing in the fractional Fourier optimal domain as well, the reconstructed signals will be distorted. In this thesis, a novel method of quasi Fourier transform is proposed in order to solve the problem of multi-component signal reconstruction, and have good results.

在此基础上，针对Wigner分布和分数维傅里叶变换在处理高噪声背景下线性调频信号检测的问题时存在不能有效抑制噪声干扰的缺点，提出了改进Wigner分布的办法，该方法能够抑制噪声，提高信号的检测能力；针对Wigner分布在处理多分量非线性调频信号时存在干扰项的缺点，以及分数域最优滤波方法在处理多分量非线性调频信号分离重构问题时存在的局限性，该局限性表现为在对最优分数域上也有信号分量重叠的情况进行处理时重构信号发生畸变，提出了新颖的类傅里叶变换的方法，该方法对在最优分数域上也有信号分量重叠的情况也能处理，得到的重构信号失真很小。

Thermal hydraulics: actuation systems, power shift transmission systems, anti-lock braking systems, landing gear, fuel injection systems, active suspension systems, lubrication systems* Gas dynamics: pneumatics, propulsion, sterilization, air and steam cycles, high-pressure gas, gas transmission, adsorption, gas phase reactions, HVAC, ECS, multi-species gaseous systems* Multiphase fluids: refrigeration, air-conditioning, climate control, cryogenic piping networks, steam/water systems, or fuel systems with exotic, volatile fluids.* Systems control hardware and software evaluation data acquisition sampling rates, asynchronous communication, analog and digital electronic filters, control loop execution rates, network (CAN bus communication, etc.* Fuel cells: stationary or mobile.* Electrical systems: AC/DC machines, power electronics, batteries, etc. Flight dynamics, and control systems of all kinds including digital filters

MSC Easy5的独到之处在於：其一，强大的控制系统仿真分析能力，可以建立各种复杂的控制系统模型，包含稳态分析、线性系统分析、频域响应、根轨迹分析等完整的控制系统分析类型；其二，多学科专业应用库，借助专业应用库中的预定义模型元件，向用户提供独一无二的建立系统级模型和研究多学科系统耦合问题的能力；其三，卓越的代码生成和求解器，可以由图形化系统模型自动生成相应的FORTRAN或C源代码，这些代码可以通过编译生成可执行程序，并可被用户调用；其四，高效的高级建模和二次开发功能，方便用户创建用户化模型元件，并可调用外部FORTRAN或C子程序；其五，与其它CAE软件良好的集成能力，可以将不同CAE软件所建立的模型集成到MSC Easy5中建立完整的虚拟样机，是真正的协同仿真平台。

Thermal hydraulics: actuation systems, power shift transmission systems, anti-lock braking systems, landing gear, fuel injection systems, active suspension systems, lubrication systems* Gas dynamics: pneumatics, propulsion, sterilization, air and steam cycles, high-pressure gas, gas transmission, adsorption, gas phase reactions, HVAC, ECS, multi-species gaseous systems* Multiphase fluids: refrigeration, air-conditioning, climate control, cryogenic piping networks, steam/water systems, or fuel systems with exotic, volatile fluids.* Systems control hardware and software evaluation data acquisition sampling rates, asynchronous communication, analog and digital electronic filters, control loop execution rates, network (CAN bus communication, etc.* Fuel cells: stationary or mobile.* Electrical systems: AC/DC machines, power electronics, batteries, etc. Flight dynamics, and control systems of all kinds including digital filters

MSC Easy5的独到之处在于：其一，强大的控制系统仿真分析能力，可以建立各种复杂的控制系统模型，包含稳态分析、线性系统分析、频域响应、根轨迹分析等完整的控制系统分析类型；其二，多学科专业应用库，借助专业应用库中的预定义模型元件，向用户提供独一无二的建立系统级模型和研究多学科系统耦合问题的能力；其三，卓越的代码生成和求解器，可以由图形化系统模型自动生成相应的FORTRAN或C源代码，这些代码可以通过编译生成可执行程序，并可被用户调用；其四，高效的高级建模和二次开发功能，方便用户创建用户化模型元件，并可调用外部FORTRAN或C子程序；其五，与其它CAE软件良好的集成能力，可以将不同CAE软件所建立的模型集成到MSC Easy5中建立完整的虚拟样机，是真正的协同仿真平台。

And this paper researches projection ways of coordinate such as the Mercator projection, Lambert projection and linear projection to achieve the conversion of level rectangular coordinate by latitude coordinate and geography.

研究横轴墨卡托投影、兰勃特投影以及线性投影等其它坐标投影方式，实现地理经纬度坐标到平面直角坐标的转换，支持多比例尺地图。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。