Now these ideas of classes, object-oriented programming, data abstraction, are about 40 years old, they're not new ideas.
面向对象编程的概念,数据抽象的概念,都是40年前就有的老东西了。
They began with an abstract thought, discussed it, reminded each other of another abstract point forgotten in the rush of events.
他们从一个抽象的想法开始讨论,相互提醒着在匆忙中,被遗忘的另一个抽象概念。
An idea of abstraction, that idea of specification, is exactly what we want to use inside of our functions.
抽象的概念,规格化的概念,就是我们想要运用到。
Now, it's not my purpose here to try to argue for or against Platonism with regard to abstract entities.
我的目的不是,试图去辩护或者反对,柏拉图哲学中的抽象实体这个概念
So there's a lot of power in this, both engagement and both allowing students to get conceptual understandings of things that are very hard to understand and they're abstract.
所以这是很强大的,不论是参与性,还是使学生能更好,理解那些,很难的概念,很抽象的概念。
The sovereign is not the direct expression of my will or your will, but rather an abstraction from my natural desire to rule myself.
君主制不是对我的,或者你的意志的直接表达,不如说是一种抽象概念,是源于自己统治自己的自然愿望。
The state was an abstraction, but in the person of the czar it was a reality.
国家" 只是个抽象概念,但沙皇这个人是真实存在的
There's no language in the world that you just cannot talk about abstract things with.
世界上并不存在,无法谈论抽象概念的语言
And then they're very abstract concepts which are defending the glory of human mind.
它们是很抽象的概念,是用来维护人类大脑的荣光。
This is not just some abstract thing going on in a class in Yale.
这不仅仅是耶鲁课堂上的抽象概念
I'm thinking of the general problem of the abstraction of virtue, an abstract notion of virtue. Think of all the questions that all of us at some point or other tend to associate with virtue.
我在思考贞操这个抽象概念,贞操这一抽象的概念,想想所有那些,我们时不时的会由贞操想到的问题。
All right, so that notion of abstraction and we're going to come back to multiple times -- during the term-- and it's not just abstraction, -- it's the idea of a specification.
现在就试试,这就是抽象的概念,我回过来说,我们将要多次提到这个术语。
Given the abstraction, the notion of a point as an instance with some values, I can now start building segments.
真的很有帮助,基于这个抽象,点的概念也就是一个,有一些值的实例。
And just to look ahead a little bit, you could easily imagine that I might want to not just put a statement in there, what the specs are, I might want to put some constraints. Some specific things to check for, to make sure that you're calling the code right.
这不仅是抽象的概念还有规范的概念,我们再往前看看,你可以简单的想象得到,我不仅仅是想在这里加一个声明,这些规范说明中我还想加一些约束,我们要注意一些特殊的事情。
So, they make their personal or dynastic rule absolute based on loyalty to them as individuals and not to the state as some sort of abstraction.
所以,君主将个人或者王朝的绝对统治,建立在[民众]对其统治家族的忠诚,而非国家这样的抽象概念上
In particular, all languages, at minimum, are powerful enough to convey an abstract notion like this; abstract in the sense that it talks about thoughts and it talks about a proposition and spatial relations in objects.
尤其是所有的语言都至少,能够有效地表达抽象概念,在某种意义上来说,抽象概念能够表达思想,能够表述物体的位置与空间关系
What we're really getting at is the idea of saying I want to have a way of grouping together information into units that make sense. So I can go back to one of those topics we had at the beginning, which is the idea of abstraction, that I can create one of those units as a simple entity, bury away the details and write really modular code.
组合成为有意义的单元,那么这就让我们回到,一开始讲的话题之一了,这就是抽象的概念,也就是我可以以一个简单的,实体的形式创建这样的一个单元,把具体实现隐藏然后写一些,真正模块化的代码,我们在以后的课程中。
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