Introduction Although the Mathieu groups are probably best known today as the first instances of the sporadic simple groups, Mathieu's discovery of them arose rather from his search for highly transitive permutation groups; only later were the Mathieu groups shown to be simple. In modern mathematics, the Mathieu groups are studied chiefly in conjunction with sphere packing and error-correcting ...

In recent workwith J.Mostovoy and T. Stanford, the author found that for every natural number n, a certain polynomial in the coefficients of the Conway polynomial is a primitive integer-valued degree n Vassiliev invariant, but that modulo 2, it becomes degree n-1. The conjecture then naturally suggests itself that these primitive invariants are congruent to integer-valued degree n-1 invariants....

We present an axiomatization of Conway theories which yields, as a corollary, a very concise axiomatization of iteration theories satisfying the functorial implication for base morphisms. It has been shown that most fixed point operations in computer science share the same equational properties. These equational properties are captured by the notion of iteration theories [1, 3]. Several axiomat...

During the early '70's, Carver Mead began a pioneering series of courses in integrated circuit design at Caltech, presenting the basics of industry MOS design practice at the time. Observing some of the students' successes in later doing projects using these basics, Mead sensed that it might be possible to create new, much simpler methods of IC design than those then used in industry. In the mi...

Abstract Does Anne Conway (1631–79) hold that the created world consists of a single underlying substance? Some have argued she does; others is priority monist and so holds there are many substances, but whole ontologically prior to each particular creature. Against both these proposals, this article makes case for substance pluralist interpretation Conway: individual creatures distinct not com...