B=multLowerBound I
Let I be a homogeneous ideal of codimension c in a polynomial ring R such that R/I is CohenMacaulay. Huneke and Srinivasan conjectured that
m_1 ... m_c / c! <= e(R/I),
where m_i is the minimum shift in the minimal graded free resolution of R/I at step i, and e(R/I) is the multiplicity of R/I. multLowerBound tests this inequality for the given ideal, returning true if the inequality holds and false otherwise, and it prints the lower bound and the multiplicity (listed as the degree).
This conjecture was proven in 2008 work of EisenbudSchreyer and BoijSoderberg.



Note that multLowerBound makes no attempt to check to see whether R/I is CohenMacaulay.
The object multLowerBound is a method function.