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Math is Fun
This site is an online mathematics and science school
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"
Do not worry about your difficulties in mathematics, I assure you that mine are greater
". Einstein, Albert (1879-1955)
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Talented Young Mathematician
Please, support our NEW development for young mathematician!
Social Educational Network for Talented Kids "Math+Fun"
Math plus Fun Educational Project launched at the Talented Young Mathematician blog (TYM). The goal of TYM is to connect students who are interested in math across the country and to expose students to math at a young age. TYM hopes to expand and offer summer camps and scholarships for young mathematicians. If you enjoy discussing math, welcome to email your ideas to mathplusfun2000@gmail.com. Our editors team will review and post your mathematical ideas in the TYM blog.
To expand:
First find all possible z where:
Such that:
Then:
It is important to note that the number of possible z is equal to:
Although this seems like a dauntingly large number, one can increase the efficiency of the algorithm by only "caring" about distinct coefficients.
The absolute worst case scenario is only that the number of distinct coefficients is equal to the number of partitions of n, denoted p(n), which is approximately:
*it is assumed that all variables are positive integers.
Sam Korsky, 14 years old, Northbrook, IL, USA
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