And when I am on the curve I am on the boundary of the surface, so there is a direction along the surface that is the curve and the other one is pointing into the surface.
当我在曲线上时，我是在曲面的边上的，所以一个是沿着曲面的边指，那个就是曲线的定向，另外一个就要指向曲面里面的那个方向。
You know it's automatically OK because if you have a closed curve, then the vector field is, I mean, if a vector field is defined on the curve it will also be defined inside.
它必然成立，因为如果给出一条闭合曲线，然后向量空间是…，我是指，向量空间在曲线上有定义，当然在区域内部也有定义。
Flux, on the other hand, measures, when I go along the curve, roughly how much the field is going to across the curve.
从另一方面来看，“通量”度量的是，沿着曲线前进时，大致会有多少向量场通过曲线。
Both of these formulas basically relate work on a curve with what happens to the curl on the surface that is enclosed by this curve, that is bounded by this curve.
基本上，这两个公式把沿曲线的功，和被曲线包围的曲面上的旋度，联系起来了，曲面是以该曲线为边界的。
To remind ourselves that we are doing it along a closed curve, very often we put just a circle for the integral to tell us this is a curve that closes on itself.
为了提醒我们是在封闭曲线上做积分，经常在积分符号上加个圆圈，告诉我们，这条曲线自我封闭。
For your convenience, we provide an implementation for another space filling curve, the Hilbert curve (see the Resources section for information on the Hilbert curve) in the download section.
为了方便，我们在下载一节中提供了另一种空间填充曲线，即Hilbert曲线的实现(请参阅参考资料一节以了解关于Hilbert曲线的信息)。
"Why should we go another 20 years without knowing whether we're on high [warming] curve or the low curve?"
“为什么我们还要等20年才能知道我们是走高[升温]曲线还是走低曲线呢？”
So instead of putting this new curve on the same figure as the old curve, start a new one.
所以我们现在是，把这些拐点放在新图上，而不是在原来的老拐点的图上。
On the basis of freeboard phenomenon in curve way and the improvement of curve flow velocity, this paper gets a useful calculating method of bed roughness.
本文基于弯道超高现象以及弯道流速计算的改进，得出了一种较为实用的泥石流沟床糙率计算方法。
Compared with ECC, the computing on conic curve is much easier, and the facility of plaintext embedding is the most exciting feature of conic curve cryptography.
在圆锥曲线群上的各项计算比椭圆曲线群上的更简单，尤其是在其上的编码和解码都很容易被执行。
Based on these, the new method that pressure build-up curve associated with pressure fall-off curve to determining the productivity of gas well is proposed.
在此基础上提出了用不稳定试井资料确定气井产能的新方法，即用压力恢复曲线法与压降曲线法相结合确定气井产能的新方法。
Automatic logging curve comparison using optimum ordered multielement match is based on the improved logging curve comparison using optimum single element match.
本文论述的有序多元素测井曲线自动对比法，是在单元素最佳匹配对比法的基础上改进而成的。
On the basis of traditional fairing algorithm, the curvature extremum of curve is used as one of the indices judging the curve fairing.
在传统光顺算法的基础上，提出了以曲线曲率极值的均方差作为衡量曲线光顺的指标之一。
The safety of this protocol is based on the elliptic curve discrete logarithm of non-supersingular elliptic curve over finite field, on which there has been no efficient attack method up to now.
协议的安全性是建立在目前尚未存在有效攻击方法的有限域上非超奇异椭圆曲线的椭圆曲线离散对数问题之上的。
Based on production decline curve equation, through mathematical derivation, a kind of logarithmic type production decline curve equation is obtained.
在产量衰减曲线方程的基础上，通过数学推导，得到了一种对数型产量衰减曲线方程。
On this basis, the authors construct yield to maturity curve and obtain regression equation of the curve through establishing a model.
在此基础上，构造了国债收益率曲线并通过建模获得了收益率曲线的回归方程。
On the designing and constructing of highway curve, we required calculate and survey curve coordinates.
在公路曲线设计和施工中，经常进行曲线坐标计算和测设。
Based on the stroke curve and pattern drawing curve, the structure of main mechanism of TPA140 powder press made by DORST company of Germany is analyzed in this paper.
针对德国DORST公司生产的TPA140型粉末压机的主机构进行分析研究，根据压制曲线和脱模曲线分析了主机构的结构组成和工作原理。
In this paper, a general method for meta-graph recognition is proposed based on curve fitting and separation of line and smooth curve.
本文针对图纸矢量化中的图元识别技术，提出了系统的基于线弧分离和拟合识别方法。
The paper describes the design of plane layout of ladder sleepers on curve sections with super-elevation and the method of installing super-elevation on curve sections.
阐述梯形轨枕在设有超高的曲线地段平面布置的计算方法，以及曲线地段超高的实现方法。
In project measuring about relax curve, the computing method on the coordinate of edge ram by the curve and the meet of curve and straight line is introduced.
介绍了在工程测量中关于缓和曲线放样中曲线边桩坐标和曲线与直线交点坐标的计算方法。
The influence of depreciation of bilateral exchange rate on bilateral trade balance appears J curve or W curve.
双边汇率贬值对双边贸易收支的影响可能呈现“J”曲线或“W”曲线形态。
Based on the curve of mill elastic deformation and the curve of strip plastic deformation, the influence of some factors on the strip exit gauge is analyzed.
以轧机的弹跳方程为基础，结合轧机的弹跳方程曲线和轧件的塑性曲线分析了各种干扰因素对轧件出口厚度的影响。
The continuous beam becomes generally continuous curve beam on the curve section.
连续梁一般在曲线段上成为连续曲梁。
Draw the curve of breaking rock on hole, and the curve changes along with the position of the inserts.
绘制了井底击碎曲线，并且井底击碎曲线能随着井底击碎图上牙齿位置的变化而变化。
In this paper, the equivalent conversion principle from self-balanced q-s curve to traditional q-s curve on pile head is introduced simply.
本文简要地介绍了桩基自平衡测试的Q—S曲线向传统静载试验q—S曲线的等效转换原理。
If I close it completely, then this curve is no longer its boundary because my surface lives on both sides of this curve.
如果完全封闭它，那么这条曲线就不再是它的边界，因为曲面在这条曲线的两边都存在。
The hyperelliptic curve cryptosystem is based on the hyperelliptic curve discrete logarithm problem, and has the higher safety and the shorter operands compared to other cryptosystems.
超椭圆曲线密码体制是以超椭圆曲线离散对数问题的难解性为基础的，具有安全性高、操作数短等优点，相对于其他密码体制有明显的优势。
A protocol of electronic election based on elliptic curve is proposed. The digital signature based on elliptic curve is used in this protocol. It provides the identity authentication and encryption.
提出了一个基于椭圆曲线的电子选举协议，该协议中多次用到基于椭圆曲线的数字签名，不仅达到了相应的身份认证，同时达到了加密的作用。
A protocol of electronic election based on elliptic curve is proposed. The digital signature based on elliptic curve is used in this protocol. It provides the identity authentication and encryption.
提出了一个基于椭圆曲线的电子选举协议，该协议中多次用到基于椭圆曲线的数字签名，不仅达到了相应的身份认证，同时达到了加密的作用。
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