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*> We need to keep the theory and the code together and have
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*> each one explain the other. How else can you show that the
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*> code does what it is intended to do?
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That is a very hard problem in general.

Good algorithms (as opposed to naïve ones) are often connected to theory

in complicated ways -- just look at published algorithms. Then the

practical implementation of the algorithm is often connected to the

published algorithm in complicated ways.

"Literate programming" is effective when the algorithm has a nice

hierarchical structure, but there are many tricks that good algorithm

designers and programmers use which don't fit well into that structure.

Some years ago, I participated in a conference on transformational

programming where Tarjan talked about this... it was humbling.

Personally, I think this is a fascinating area, but it really is a

research problem in itself. So if your goal is solving physics/math

problems, I would recommend that you be pragmatic about how far you go

in trying to systematize the transition from theory to code.

-s

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