The real issue is to figure out how to build constructs out of this that tackle particular problems, but the fundamental basics of computation are just captured in that set of mechanisms.
坏消息是当然这不是真的,真正的问题是怎么来,构建解决特定的问题的这些结构,但是运算的最基本的东西,仅仅体现在机制集里。
In there, I want to make this distinction, this nuance: the evaluator is still going to be taking those expressions and using its rules to get a value, but it's not going to print them back out.
在这里,我想要做这么一个,细微差别:运算器依然会,对表达式,进行求值,但是不会,显示结果值。
Again, don't worry too much about the equation, we're not really going to do any math here, I'm just putting it in for completeness.
对这个方程也不需要太深究,在这里我们不强调数学运算的,我把它写出来是为了表述完整
We know machines have limited capacities to engage in mathematical and logical reasoning, to recognize things, to do various forms of computations, and this makes it at least possible that we are such machines.
我们也知道机器,在数学推理与逻辑推理方面,在识别物体方面,在完成各种形式的运算方面,的确是拥有有限的能力的,这至少说明,人类就是这样的机器
This seems to work for vectors.
这在矢量运算中仍然适用
But a point I'm trying to make is, it sounds like anymore computers have gotten so blazingly fast, why should you worry about it?
但是这里我要讲的一点是,在任何一台计算机,都能这么快的运算的情况下,我们还管效率这个问题干嘛呢?
And now I'm putting math on the board.
现在我将会在黑板上写一些数学运算
It caught the error, because it checked the types of the operands before it applied things and it says, I'm going to stop.
它捕捉到了错误,因为它在,进行运算之前检查了运算对象的类型,然后Python意识到,应该停止了。
And in Python the expression is, operand, operator, operand, when we're doing simple expressions like this, and if I give it to the interpreter, it gives me back exactly what you'd expect, which is that value. OK?
在Python中表达式就是,运算对象,操作符,运算对象,当我们处理这样的简单表达式的时候,我把表达式传给处理器,处理器给我返回了我想要的结果,对不对?
I can write it explicitly. I can write it inside of a FOR loop. And we've started to add, and we'll see a lot more of this, examples of collections of structures so that we don't just have to do something that can be easily described as walking through a set of things but can actually be a collection that you walk through.
我可以明确的写出来,我可以把它在FOR循环的内部写出来,然后我们开始学习了add这个运算符,我们会在以后学习很多的,集合的数据结构的例子,这样一来我们可以进行一些,很简单的遍历集合的操作,我想要为大家指出的最后一件事情是。
The child starts off grasping the world only in a physical way, in a sensorimotor way, but when he gets to the preoperational period, the capacity to represent the world, to have the world inside your head, comes into being.
开始的时候,儿童只能通过生理的方式,通过感知运动的方式,来认识世界,但是当儿童进入了前运算阶段,他们便逐渐拥有了表征事物,在头脑中构建世界的能力
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