The base contour is enabled along with hidden line removal, and the sinc plot is created with the splot command using the internally available math library functions. 同时还启用了基本的等高线和隐线消除特性,最终的绘图是利用splot命令使用数学库内部的函数来创建的。
So, here I have a contour plot of a function, and I have a blue vector. 我这里有一个函数的等值线图,还有一个蓝色的向量。
One thing I should mention is this problem asks you to estimate partial derivatives by writing a contour plot. 这个问题要求你,通过等高线来表示偏导。
So, now, I'm picking a point on the contour plot. 现在,在等高线图上取一点。
The second problem is one about writing a contour plot. 第二题是找等高线。
We've seen is how to actually view a function of two variables in terms of its graph and its contour plot. 我们学过怎样认识二元函数,从它的图像和等高线的角度来看。
And then, the contour plot will be the topographical map for this graph. 等高线就像是这幅图的地形图。
Let's look at this contour plot which contains several sections that I want to replace with hatches. 让我们看看下面这个轮廓图,它包含有几个我想要用影线来代替的部分。
So& OK, so say, for example, that I have a piece of contour plot. 比如说,我有一个等高线图。
That is the contour plot of f with a hyperbola on top of it. 上面这个是f的等高线,黄色的就是双曲线。
For example, I give you a contour plot and I ask you to draw the direction of the gradient vector, well, at this point, for example, you would look at the picture. 如果给出一张等高线图,让你们画出这一点上的梯度向量,比如说,这个图。
OK, so if I draw a contour plot of my function, z so, actually forget about z because I want to draw a two variable contour plot. 如果我画出函数的等高线,现在没有变量,因为我想画一个只含两个变量的。
And so, before I let you go for the weekend, I want to make sure that you actually know how to read a contour plot. 在这星期的考试前,我想要知道,你们是否知道怎么找等高线。
No? OK, so basically, one of the goals that one should try to achieve at this point is becoming familiar with the contour plot, and how to view and deal with functions. 没有,好的,现在要达到其中的一个目标,就是要熟悉等高线图,以及学会怎样去观察和处理函数。
So, the contour plot looks like that. 等高线图看起来是这样的。
OK, so just to show you a few more, where did I put my, so, for x^ 2+ y^ 2, the contour plot looks like this. 为了能向你们展示更多,画出x^2+y^2的等高线图,大概像这样。
So, the contour plot, well, let me actually zoom out. 我们来放大它的等高线图。
So, what contour plot looks something like this? 因此,等高线图看起来就像这样?
So, here's version two of my plot where I've added the contour plot of a function, xy on top of the vector field. 这是第二张函数图,我在上面添加了函数xy的轮廓,放在了向量场上面。
Of course, we don't have a formula for that function, but we have a contour plot, and that's what we need actually to understand what's going on there. 当然,我们没有关于这个函数的一个表达式,但是我们有一个等高线图,就是我们要了解函数某些性质所需要的东西。
And, then we squish all of them up, and that's how we get the contour plot OK, so each of these lines, imagine that this is like some mountain or something that you are hiking on. 然后把所有等高线聚合到一起,这样就得到了等高线图,对于每一条这些线,想象,你是在爬山或是徒步旅行。
But, I trust my computer. And, finally, this one, well, so the contour plot looks a bit complicated. 我相信我的电脑是对的,最后,这一个,它的等高线图比较复杂。
OK, so that's an example of a contour plot of a function. 这就是一个关于函数等高线图的例子。
The stress distribution of flat plate that has a hole under unidirectional stress is analyzed in terms of finite element method by ANSYS software and the distribution is shown in the form of contour plot. 应用ANSYS软件,对平板中心圆孔的应力集中进行了有限元分析,对圆孔平板在单向和双向应力条件下的应力状况进行了计算和分析,并将有限元结果与解析解进行比较。
The pressure and temperature contour plot are drawn on the true oil-film form between shaft and bearing shell. 给出了以真实油膜形状作为基底的压力,温度三维等值线。
It is difficult that assart along the contour in the dry land and garden plot, after the first 1~ 2 years, the soil eroding amount will increase at double. 旱耕地、园地等高开垦的强度大,开垦之后1~2年土壤侵蚀量成倍增长;
Data from the analysis of the regression mathematical model and its 3-dimension response surface plot, and 2-dimension contour plot showed that the impact of enzyme dosage added, temperature and time on improving degree of hydrolysis possessed optimum zone of action; 对回归数学模型,及其三维响应曲面和二维等值线的分析表明:酶用量,温度,时间对水解度的影响具有最适作用区域;
Soil loss of the pure contour hedgerow plot was37.71% of that of the pure crop plot. 单纯等高植物篱处理小区的侵蚀量仅为在相近雨强及雨量条件下对照坡耕地的3771%。
The contour plot of the model is in agreement with the docking results. 模型等势图与对接分析结果相一致。