What if we added a tail to it? How would you do it? There must be a whole field of new problems in those situations, which are quite specific.
You see, in addition to dealing with different types of problem elements — how do you deal with, say, different kinds of data? What would have been your answer had you ever written a basic parser? How would you have done it in those situations? How would you think about handling a whole bunch of different kinds of data types? Or parsing in general?
And the fact is, all of these questions are extremely difficult. The more complex the situation, the harder the problem becomes. Even though there is a kind of intuitive approach — a method for doing some kind of problem, how do you get there? — we don’t have any practical answers. We know that many algorithms can be solved — which is to say we have a lot of examples. And then there are cases where some algorithm can just be formulated using only a few examples — not very useful for solving a full problem.
For example, if you want to know whether a point is in a circle, you can use, oh, an algorithm that deals with circles all over. If you ask a friend to describe a circle, you can just give him a bunch of examples. You could use such simple techniques that every time you say “How many sides must the circle have?” he can write a code, and if he ever tries to calculate, I don’t know, the circumference, that’s going to be a very hard problem for him.
So you can write a library to solve these problems — and that’s probably what programmers, mathematicians, and coders did in many cases.
(You can imagine a language, for example, that is based on simple arithmetic — which is exactly the type of problems that we are talking about. In that language, you could use such a trivial technique that there is no need for much mathematics.)
You can think on different kinds of problems as opposed to just using abstract data types. If you want to deal with such an abstract domain, you might think of your language as abstracting away from the specifics of real world problems.
It is the same thing as creating a framework from your data, that abstracts away from the specifics of real world problems. You can think of the language as creating a new abstract domain from your data. You are saying, “These problems are abstract, so therefore these problems don’t
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