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JSC
2007
13 years 6 months ago
2007
We present new deterministic and probabilistic algorithms that reduce the factorization of dense polynomials from several to one variable. The deterministic algorithm runs in sub-...
JSC
2007
13 years 6 months ago
2007
We generalize the concept of a cycle from graphs to simplicial complexes. We show that a simplicial cycle is either a sequence of facets connected in the shape of a circle, or is ...
JSC
2007
13 years 6 months ago
2007
We classify Moufang loops of order 64 and 81 up to isomorphism, using a linear algebraic approach to central loop extensions. In addition to the 267 groups of order 64, there are ...
JSC
2007
13 years 6 months ago
2007
We present a new algorithm for the computation of resultants associated with multihomogeneous (and, in particular, homogeneous) polynomial equation systems using straight-line pro...
JSC
2007
13 years 6 months ago
2007
We consider computer aided assessment (CAA) of mathematics in which a student provides an answer in the form of a mathematical expression. A common approach is for CAA system impl...