And the technique is called, watch because this is a six-letter initialization, linear combination of atomic orbitals LCAO-MO into molecular orbital, LCAO-MO.
这项技术是,一个6字母初始设定,原子轨道的线性叠加,成分子轨道。
Whereas in the linear case, I make it ten times bigger, it takes ten times longer to run. OK.
它要占用原来十倍的时间去运行,我一直在说还有一件事情没有讲,这是我要强调的最后一件事。
Sometimes they challenge and contradict one another, but they are not best seen as linear, as telling a neat, linear story about Israelite religion flowering and fading.
有时候它们相互对质或矛盾,但它们从未被当作线性结构,整洁有序的故事,关于以色列宗教的兴盛与衰落。
Remember, we don't do a one-to-one correlation, because p x and p y are some linear combination of the m plus 1 and m minus 1 orbital.
记住,我们不需要把它们一一对应,因为px和py轨道是,m等于正负1轨道的线性组合。
A linear interpolation between the two, and then some numbers associated with them, 2 7-1/2 and 22-1/2. Why does he choose 7-1/2 as the freezing point of water?
两者之间做线性插值,一些数值随之标定,7。5和22。5,为什么他选择了7。5作为2,水的冰点呢?
In particular, we're going to look at a particular version of this that we're going to call the linear city model.
我们来从一个特殊的角度看一下,我们称之为线性城市模型
Linear equation means that solutions are additive.
线性方程的结果是可加的。
Supplementarity is a way of understanding the simultaneously linear and ever proliferating, ever self-complicating nature of verbal expression.
增补性是口头表达的同时线性,不断增加,自我复制,的本质。
He's introducing the reader to a mode of vision different from the vision typically permitted him from within the poem's more or less straightforward, linear, narrative boundaries.
他在向读者介绍一种不同于这首诗里,直白的线状叙述的界限,或多或少已经容许他,显露出的设想有所不同的先见之明。
Linear A is earlier and it is associated with and it is clearly the language used by the Minoan kings at Knossos and other places.
类线形文字出现得较早,而且它已被确定与克诺索斯或其他地区的,米诺斯时期国王们所使用的语言有一定的关联
If you're taking two derivatives you can add a constant and something linear in t.
如果你要二次求导,你可以添加一个一次项和常数项
I've got to do another pass. Huh. Sounds like a linear number of times I've got to do- oh fudge knuckle.
冒到最后去,还得再做冒泡,呵,听起来我要做线性次的时间-,哦,胡说八道。
So it's certainly at least linear in the length of the list. For each starting point, what do I do?
它至少是线性的计算列表的长度,每次到了循环开始的点?
Linear algorithms tend to be things where, at one pass-through, you reduce the problem by a constant amount by one. If you reduce it by two, 1 it's going to be the same thing.
有问题么?,线性复杂度的算法,当进行了一个,常量级步数的操作的时候,将问题的规模缩小了一个。
Further, the nucleus is assumed to be the seat of the essential part of the mass of the atom, and to have linear dimensions exceedingly small compared with the linear dimensions of the whole atom."
进一步的,核被认为是,原子主要质量所在的地方,和整个原子线性尺度相比,核具有很好的线性尺度“
Because if you did what I suggested with the list, the time to look up the key would be linear in the length of the list. You'd have to look at each element until you found the key.
字典是用一种很神奇的,叫做散列法的算法,来实现的,后面我们将,会学到一点关于。
Something like this. That would be perfectly fine interpolation. All right, we choose to have a linear interpolation.
这种插值的方法也是完全可行的,好,现在我们决定使用,线性插值的方案。
You can see low voltage, low energy, high voltage, high energy. It is a linear function.
你会看到,低电压,低能量,高电压,高能量,这是种线性关系。
Now there many ways I can connect these two points together. The simplest way is to draw a straight line. It's called the linear interpolation. My line is not so straight, right here. You could do a different kind of line.
最简单的办法是,像这样画一条直线,这叫线性插值,不过我的这条线画得不太直,你也可以用别的办法,比如一条抛物线。
And this is what they had expected that there would be no relationship, but instead here they saw that there was a linear relationship not to the intensity and the kinetic energy of the electrons, but to the intensity and the number of electrons.
另外一个实验,他们预期这两者没有关系,但他们看到的不是,光强和电子动能的,线性关系,而是光强,和电子数的线性关系。
The force may taper off, the force may not be given by a straight line, but for modest deformations, every spring will have a linear regime in which the force is linearly proportional to the stretching.
它产生的力可能会渐渐消失,力的曲线可能不是一条直线,而有轻微的弯曲,每个弹簧都有一个线性区间,在这一区间内,力和伸长量是线性关系
The power of linearity is F=k1+k2 if I come across f of x, y, z equals k1 plus k2, if it is a linear equation, I don't have to go and solve it all over again.
线性的威力是,一个方程,如果它是个线性方程,那么我就不用再去解他了。
So this isn't-- OK. And you're also close. It's going to be linear but how many times do I go through this?
每次能丢掉一半,所以这里不是-,好的,但你也很接近了,他可能是线性的,但我得遍历多少次呢?
We have seen log, linear, quadratic, and exponential.
平方级的和指数级复杂度的方法,再说一遍,可能会有些常量。
The reference points are water freezing or boiling, and the interpolation is linear and then that morphed into the Kelvin scale as we're going to see later.
参考点是水的冰点和沸点,插值是线性的,随后它被发展成为开氏温标,我们之后会看到。
Log? Linear? Exponential? Quadratic?
对数?线性?指数?平方?
That one's not so obvious. So let's think about this for a second. To sort a list in linear time, would say, I have to look at each element in the list at most a constant number of times.
所以让我们来思考一会,要在线性时间能排序,列表里每个元素最多被使用常数次,不一定是一次,对吧。
You can choose a linear interpolation or quadratic, but you've got to choose it.
你可以选择线性插值或抛物线型插值,但你总要做出选择。
We have to make sure that, in fact, that operation is not linear.
事实上,操作不是线性的,那让我来解释下这一点吧。
Does it make sense to think we could do this in less than linear time? You know, it takes a little bit of thinking. What would it mean do I see a hand way at the back, yes please? Thank you.
你要稍微想一想,这意味着什么?,那儿是有人举手么?后面的,请你来回答吧,谢谢你,小伙子,你让我体会到我上课的价值。
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