Suppose I want to do little piece of code that's going to do planar geometry, points in the plane.

好，因此我需要一些,把这些东西收集到，一起的一些方式。

麻省理工公开课 - 计算机科学及编程导论课程节选

So even though we see a nodal plane down the center, I just want to really point out that it's only when we have a nodal plane in the internuclear or the bond axis that we're calling that a pi orbital.

虽然在中间有个节面，我想要指出的是,只有节面在核间轴,或者键轴上时,我们才叫它π轨道。

麻省理工公开课 - 化学原理课程节选

And just to give you a sense, if you do a cross-cut of this, you cannot show it from this angle, but it should really be sort of a dumbbell shape with the nodal plane in between the two nuclei.

告诉你们这些就是给你们点概念，假如你们把他横切切开，不能从角度上展示，但它还是会保留几分哑铃的形态,以及在两核之间的节面。

麻省理工公开课 - 固态化学导论课程节选

Another way to represent a point in a plane is I've got a radius and I've got an angle from the x-axis, right, and that's a standard thing you might do.

平面上面的点的方法,也就是极坐标,上面那种方法其实是，如果你们喜欢我这么说的话,笛卡尔坐标表示法。

麻省理工公开课 - 计算机科学及编程导论课程节选

Here, we are not talking about a single number, but a displacement in the plane.

我们现在不是在讨论数字,而是平面上的位移

耶鲁公开课 - 基础物理课程节选

to be killed in a plane accident this weekend and there was a guest lecturer for you on Tuesday there'll be somebody alive lecturing to you.

我周末死于空难,而下星期二又有客座教授的话,就会有人活着给你们上课。

耶鲁公开课 - 死亡课程节选

They are mere personifications of abstract ideas, and it's not at all clear that Sin and her son, Death, exist as individual entities in the same way, or on the same plane, that Satan does, for example, or Beelzebub.

他们仅仅是将抽象的思想拟人化的结果，但我们不清楚的是罪恶之神和她的儿子死神，以同样的方式或在同一个星球作为独立的个体存在，例如撒旦或者苍蝇王比尔泽布也是这样。

耶鲁公开课 - 弥尔顿课程节选

Well I was thinking it's the same reason on 9/11 with regard to the people who flew the plane into the Pennsylvania field as heroes because they chose to kill the people on the plane and not kill more people in big buildings.

我认为这和9·11的时候是一种情况1,那些让飞机在宾州坠毁的人，被视为英雄,因为他们选择了牺牲自己,而不是让飞机撞向大楼牺牲更多人。

耶鲁公开课 - 公正课程节选

And so it has what? In contrast to the sigma, it has a nodal plane containing both nuclei.

这是什么，和sigma相反，它是包覆在核上的平面电子云，有一个界面。

麻省理工公开课 - 固态化学导论课程节选

So, the wave function at all of these points in this plane is equal to zero, so therefore, also the wave function squared is going to be equal to zero.

因此这里的,波函数平方也等于零，如果我们说在这整个平面上,任何地方找到一个ｐ电子的概率都是零。

麻省理工公开课 - 化学原理课程节选

That means, if you are going in a plane and you throw something up in the air, it seems to be going up and down to you.

也就是说,如果你在飞机中,你向空中扔出一物体,它也许会相对于你上下运动

耶鲁公开课 - 基础物理课程节选

And when we look at this, it's actually split by what's called a nodal plane, which is pointed out in light orange here on this picture, but what we just mean is that there is this whole plane that separates the two lobes where there is absolutely no electron density.

我们来看这里，实际上它被一个节面分开，在这图里用淡黄色表示，这意味着这个分开,两个叶瓣的平面上,是完全没有电子密度的。

麻省理工公开课 - 化学原理课程节选

So that you take every sodium and you count all of its nearest neighbors, next nearest neighbors, next next nearest neighbors, not only on a line but in the plane and above and below in all three dimensions and go through that calculation, it is even more negative.

你考虑到每一个钠原子,你要考虑到它最近的原子，第二近的原子，第三近的原子，不是在一条线而是在一个面上,以及面上与面下的三维空间,再完成计算，这将会更负。

麻省理工公开课 - 固态化学导论课程节选

When you have a velocity in the moving plane frame and you want to find the velocity on the ground, you should add to every object in the plane the velocity of the plane with respect to the ground.

当你在运动的飞机上运动,然后你想找到相对于地面的速度,你就应该给每个物体加上,飞机相对于地面的速度

耶鲁公开课 - 基础物理课程节选

Because we find in that plane, when objects are left at what you think is at rest with no external agency acting on them, they all slide backwards towards the rear end of the plane.

因为我们发现,在飞机上,当物体掉在地上,你认为它不受外力作用,应该保持静止时,它却朝着飞机的尾部滚去

耶鲁公开课 - 基础物理课程节选

And the nodal plane's going to be in the x z plane, or again, anywhere where phi is going to be equal to 0, that takes us to the x z plane.

节面是ｘｚ平面，又或者说是phi等于０的地方，这就是ｘｚ面。

麻省理工公开课 - 化学原理课程节选