Flux looks quite different in the plane and in space because, in the plane, it is just another kind of line integral, while in space it is a surface integral.
平面中的通量和空间中的通量有很大区别，在平面中，通量仅仅是线积分的另一种形式，而在空间中，它表现为曲面积分。
And whether these line integrals or double integrals are representing work, flux, integral of a curve, whatever, the way that we actually compute them is the same.
不管是线积分或是二重积分，也不管它们表示的是功还是通量，计算它们的方法实际上是一样的。
Then I can actually -- --replace the line integral for flux by a double integral over R of some function.
那么我就能名正言顺地,用R上的某个函数的二重积分来替代通量的线积分。
What is flux? Well, flux is actually another kind of line integral.
通量是什么？，通量其实是又一种线积分。
What it says on each small flat piece — it says that the line integral along say, for example, this curve is equal to the flux of a curl through this tiny piece of surface.
它可以对任一个小平面使用-，比如说对于这条曲线的线积分，等于通过这个曲面的旋度通量。
So, the line integral for work Mdx+Ndy becomes in coordinates integral of Mdx plus Ndy while we've also seen line integral for flux.
那么对做功求线积分,就变成坐标积分,同时也有对通量求线积分的。
That is the key to computing things in practice. It means, actually, you already know how to compute line integrals for flux.
这是计算过程的关键步骤，也就是说，你们已经知道如何用线积分去计算通量了。
A line integral for flux just becomes this.
求通量的线积分就变成这样了。
Well, we cannot really think of flux as a line integral.
那就无法把通量想成线积分了。
Furthermore, the identify on line of flow model and relationship of quality flux and light projections have been elementarily found through plenty of experiments on quartz particles flow fields.
针对石英砂颗粒流场进行了大量的实验，并初步得到了石英砂颗粒流场流型的在线识别以及质量流量与光束投影和之间的关系图。
In the landscape picture, the disappearance of a flux line or other change of topology is a quantum jump over a mountain ridge into a lower valley.
在地景图像里，一条通量线的消失或其他拓扑的改变，就代表一个翻越山脊进入低谷的量子跃迁。
Where the flux line lattice moves perpendicular to the filament direction, the data show that the shear modulus, C66, governs the flux pin.
当磁通线阵运动垂直于细丝方向时，其数据表明剪切模量C _(66)主要起针扎作用。
We compared on-line hemofiltration to high-flux hemodialysis (HF-HD) in patients in a sequential manner.
我们在患者中以连续性方式比较了在线血液滤过和高通量血液透析（HF-HD）的疗效。
The effect of flux basicity on the microstructures and toughness of SAW deposited metals on pipe line was investigated.
研究了焊剂碱度对管线钢埋弧焊熔敷金属显微组织和韧性的影响。
The principle and working flow of macroblock line parallel process technology are analyzed as well as Data flux to be transferred.
在此基础上分析了宏块行并行处理技术的原理和工作流程，估算了传输过程中的数据流量。
In this paper the 3 dimensional finite element analysis for transverse flux induction heating (TFIH) of continuously moving thin steel strip for galvanizing line are presented.
对镀锌生产线上连续运动的薄钢板的横向磁通感应加热过程应用了三维有限元分析。
Influences on the speed and direction of the rotation by the phase Angle of the supply voltage, initial Angle of rotor position, PM line flux and the load torque are discussed.
同时讨论了电源合闸角、转子初始相角、磁链和负载转矩对电机转速和旋转方向的影响。
The main products are: solder wire, lead-free solder bar, line, lead-free solder paste, strips, tin ingots, flux, electroplating anode, babbitt, etc.
主要产品有：焊锡丝、焊锡条、无铅锡线、无铅锡条、锡膏、锡锭、助焊剂、电镀阳极棒、巴氏合金等。
A new on-line permanent magnet flux linkage identification method for PMSM is presented to reduce the negative influence caused by demagnetization or position feed-back error.
提出一种基于卡尔曼滤波器的永磁同步电机永磁体磁场状况在线监测方法。
So a virtual line flux has been constructed to serve as the oriented vector instead of the line voltage vector to remove the AC voltage sensors and reduce the cost of PWM rectifiers.
采用类似于交流电机磁链观测的方法来构造一个虚拟电网磁链，可以代替电网电压作为PWM整流器矢量控制中的定向矢量，达到省去交流侧电网电压传感器，降低PWM整流器成本的目的。
Using the periodic orbit theory, we computed the quantum level density of a particle in the two-dimensional harmonic oscillator potential with and without the magnetic flux line for different cases.
利用周期轨道理论，我们计算了在不同情况下，一个粒子在二维谐振子势中存在和不存在磁通量时的量子能级密度。
The optimization models of heavy oil consumption and the on-line measurement model of heavy oil flux are central contents of this paper.
重油消耗量最优化模型和重油流量在线计量模型是本文研究的核心内容。
In this paper a type of low current sensor based on zero flux compensation is described. The current sensor is specially designed for on line monitoring of HV apparatus.
研制了一种用于高压电容性设备在线监测的穿心式高精度微电流传感器。
One of them is pure evaporation heat transfer model in the extended thin film region near the triple-phase contact line of vapor-liquid-solid at lower input heat flux.
一种是较低热负荷下的单一的微槽内三相接触线附近薄液膜区域中薄液膜的高强度蒸发换热机制（纯蒸发模式）；
However, there are initial problems in the observation of the virtual line-flux-linkage, similarly to the synchronous motors, should be solved.
与同步电机磁链观测相似，虚拟电网磁链的观测也存在初始值的问题。
The on-line pipe flaw detector with magnetic leakage flux principle is introduced, providing details regarding the exciter circuit structure, magnetic sensors and signal processing.
介绍了基于漏磁探伤原理的钢管管缝在线检测装置，对装置的励磁磁路结构、磁敏感检测元件及其信号处理作了较详细的分析论述。
The wall of the channel is arranged in line with the comb formed by the pins such as to reduce the part of the flux not used for the heating.
该通道的壁与插脚形成的梳状物共线设置，以便减少未用于加热的气流部分。
The path line distribution of flue gas in the scrubber becomes more homogeneous with the increasing flue gas velocity at a stationary slurry spray flux.
浆液喷淋量一定时，随烟气流速增大，塔内烟气迹线分布情况趋于均匀。
A set of electromagnetic vibration powder feeding apparatus of the flux cored wire production line and its single chip controlling system have been designed in this paper.
研制了一套药芯焊丝生产线电磁振动送粉机构及其单片机控制系统。
In order to resolve the limitation of rotor flux oriented technology, the paper designs an induction motor parameter off-line identification system.
为了解决转子磁场定向技术局限性，本文设计一套交流感应电动机参数离线辨识系统。
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