Saturday, 4 May 2013

abstract algebra - How to define/call this process?

Sorry for my funny question.
I would like to separate this "abcd" into -



a, b, c, d
ab, ac, ad, bc, bd, cd,
abc, abd, acd, bdc
abcd



How to call/define in math? Theory or formula or law?



Let'say, to calculate the area of a right triangle is used pythagorean theorem.



update



I have to write a program. Eg, Input is "abcd".
Output will be like as below.




a, b, c, d
ab, ac, ad, bc, bd, cd,
abc, abd, acd, bdc
abcd


For fasted way, which theory or formula will I have to use?

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