Project notebooks #6
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The essay is finished!!
At last! - Luis Antonio Vasquez Reina
I had forgotten to erase notebook history
implementing lists as functions. Append worked for direction 1 lists!
- Most simple functions for infinite lists: Take, Drop,Length, First, Last, Range, Reverse, Join , Rest, Most, (partially) Riffle. Also, InfiniteRealDigits[x,b]: function that gives infinite list of the real digits of x in base b - Select: Implemented for direction -1, +1 . Must extend for direction 0. Good use of memory by using notation f[x]:=f[x]= body. - Problems: Sometimes definitions are only upgraded by re-starting the Kernel
- Finished with InfiniteSelect, InfiniteCases (very inefficient though) - Also finished with InfiniteRule, InfiniteFirstPosition, InfiniteUnequal, InfinitePlus, InfiniteTimes, InfiniteSum -Tomorrow: InfiniteEqual for easy cases(?), Infinite conjunction or disjunction, InfiniteNegation
InfiniteEqual checks equality between infinite lists, but only in simple cases InfiniteAnd/Or make the infinite conjuntction/disjunction of the elements of list
Implemented Infinite Matrices with their sum and products, Infinite Polynomials with product, Cellular Automata with infinite initial conditions (but very inefficient). Little progress with Turing Machines with infinite tapes
Cleaning some code and examples
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