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Sunday, January 16, 2011

URM Emulator

I wanted to code the multiplication algorithm as described in URM code in Mathematica. I ended the day on my way to building a URM emulator in Mathematica. An example of not strictly necessary study time. In this case related to M381. But a task like this is what makes studying so much fun.

I am programming a Mathematica Function that takes a list like this

{{J}, {1,3,12}},
{{J}, {2,3,11}},
{{C}, {1,3}},
{{S}, {5}},
{{J}, {2,5,11}},
{{Z}, {4}},
{{S}, (3}},
{{S}, {4}},
{{J}, {1,4,4}},
{{J}, {1,1,7}},
{{C}, {3,1}},

as input and then processes it as of it was the following URM program.
1 J(1,3,12)
2 J(2,3,11)
3 C(1,3)
4 S(5)
5 J(2,5,11)
6 Z(4)
7 S(3)
8 S(4)
9 J(1,4,4)
10 J(1,1,7)
11 C(3,1)

I hope to complete it somewhere this week.

Alan Turing must have been quite a visionary I doubt it however if he ever imagined students, using advanced computers, trying to emulate his Turing Machine or similar URM.

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