The 0 vector is a vector of no length.

零矢量是没有模长的矢量

耶鲁公开课 - 基础物理课程节选

So think of x as a vector of 0's and 1's.

可以把x看成是一个0和1的向量。

麻省理工公开课 - 计算机科学及编程导论课程节选

You have to be able to get the DNA into the cell, it has to be incorporated into a vector of some sort, and the vector has to be compatible with the species and the cells that you've provided the DNA to.

你必须把整合在,某种特定载体上的DNA导入细胞,载体也必须和,受体物种,及细胞匹配

耶鲁公开课 - 生物医学工程探索课程节选

The beauty of that is now we have discovered a notion of what it means to multiply a vector by a number.

现在最美妙的就是我们就已经知道,数字乘以矢量的意义

耶鲁公开课 - 基础物理课程节选

So here's a program called Arg V, this is fancy speak for argument Vector, a list of arguments for the left or right.

这里有一个叫做ArgV的程序，这个设想讲述了,参数矢量，从左到右的一列参数。

哈佛公开课 - 计算机科学课程节选

It's good to have a vector pointing in the radial direction of length one.

所以引入这么一个模长为 1,方向沿圆心向外辐射的矢量作用很大

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But if you're trying to use that virus as a gene delivery vector and your body gets rid of it then the therapy has failed, it's ended.

但如果你想把腺病毒作为基因治疗载体,而你的身体清除这种病毒,治疗就失败了,前功尽弃了

耶鲁公开课 - 生物医学工程探索课程节选

You can deal with a vector in one of two ways.

你有两种方法来表示矢量

耶鲁公开课 - 基础物理课程节选

That is, the vector itself has a life of its own.

也就是说,矢量本身是独立的

耶鲁公开课 - 基础物理课程节选

You can actually take derivatives of a vector with time.

你可以直接求位矢对时间的导数

耶鲁公开课 - 基础物理课程节选

That's another advantage of using viruses as a gene therapy vector.

这是病毒,作为基因疗法载体的另一个优势

耶鲁公开课 - 生物医学工程探索课程节选

Why is the derivative of a vector also a vector?

为什么矢量的导数还是一个矢量呢

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Even though we started with a single vector, which is the position vector, we're now finding out that its derivative has to be a vector and the derivative of the derivative is also a vector.

即使我们从单个矢量出发,即位移矢量,我们现在也能得出它的导数是矢量,而且导数的导数也是一个矢量

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it's clear that you want to add a vector that looks like that, because then you go from the start of this to the finish of that, you end up at the same point and you get this invisible 0 vector.

显然应该给它加上这样一个矢量,因为从这个矢量的起点指向那个矢量的终点,最终指向的是同一个点,你就得到这个不可见的零矢量

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This vector i prime has got a horizontal part, This kind of trigonometry you should know all the time.

矢量 i' 有一个水平方向的分量,这类三角关系你们应该已经很熟悉了

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If you drop the arrow, it's the usual convention, if you're talking about the length of the vector A.

如果你把箭头去掉,就表示矢量 A 的模长,这是约定俗成的

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The same vector A can be written either in terms of i and j or in terms of i prime and j prime.

同一矢量 A 可用 i 和 j 表示,也可用 i' 和 j' 表示

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to the n, every value in the 1 bit vector we looked at last time is either 0 or 1. So it's a binary n number of n bits, 2 to the n.

从2到n，我们上次看到的,位向量的每个值不是0就是,所以它是n，比特的二进制数,从2到。

麻省理工公开课 - 计算机科学及编程导论课程节选

Those two examples I just gave you, one had to directly inject a gene containing vector into the pronucleus of a fertilized egg and you don't have that opportunity in adults.

在我刚给出的两个例子里,一个必须得将带有目的基因的载体,直接注射到受精卵的原核中,这在成年人身上行不通

耶鲁公开课 - 生物医学工程探索课程节选

You could do the same thing in mammals and here's one quick example of that, using a different kind of a vector, but inserting a gene into the fertilized egg of a mammal, in this case, a sheep.

你也能在哺乳动物上做到同样的效果,这里有另一个简短的例子,用了另一种载体,把一段基因注入哺乳动物的受精卵中,在这里我们用了绵羊

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One of the ways that it's used is to take the fertilized egg from an animal, a mouse, usually it's a mouse and inject in a vector that contains a gene that is involved in human disease of some sort.

其中一种应用就是,从动物,一般是老鼠体内取出受精卵,注入某种质粒,这种质粒带有与某些人类疾病相关的基因

耶鲁公开课 - 生物医学工程探索课程节选

You can see from trigonometry and the length of the vector I'm going to call by A.

可以用三角的知识,然后我把矢量的模长记为 A

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At each point, er is a different vector pointing in the radial direction of length one.

矢量 er 在每一点处都不同,方向都从圆心指向该点,模长为1

耶鲁公开课 - 基础物理课程节选

er is a vector at each point of length one pointing radially away from the center.

r 是一个模长恒为 1 的矢量,方向沿半径向外

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Plasmids turn out to be one of the most powerful and simplest examples of a vector, what's called a vector for delivering DNA into a cell.

质粒被证实是最强大,且最简单的载体形式之一,载体负责将DNA转入细胞

耶鲁公开课 - 生物医学工程探索课程节选

You've got to be very used to the notion of taking a vector in some oblique direction and writing it in terms of i and j.

你们应该已经很熟悉,倾斜的坐标系中矢量的概念,和用 i 和 j 来表示该矢量的方法

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Then, I want to think of a vector that I can call -A.

现在我有一个矢量,我将其称为 -A

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At every instant, it's got a location given by the vector R; R itself is contained in a pair of numbers, x and y, and they vary with time.

在每一个瞬时,它的位置由位矢 R 给出,R 本身包含了一对坐标值 x 和 y,并且它们都随着时间的变化而变化

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This vector has a little bit of negative i in it.

这个矢量包含一小部分的负 i

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It is clear that that vector is the sum of that vector and that vector, by the rules of vector addition, because that plus that is equal to the A.

这个矢量是这个两个矢量之和,根据矢量加法的法则,因为这两个矢量相加就等于 A

耶鲁公开课 - 基础物理课程节选