The Cayley-Dickson process gives a recursive method of constructing a nonassociative algebra of dimension 2 for all n 0, beginning with any ring of scalars. The algebras in this sequence are known to be flexible quadratic algebras; it follows that they are noncommutative Jordan algebras: they satisfy the flexible identity in degree 3 and the Jordan identity in degree 4. For the integral sedenio...

The TCR delta- and alpha-chain genes lie in a single complex locus, the TCRalpha/delta locus. TCRdelta-chain genes are assembled in CD4(-)CD8(-) (double negative (DN)) thymocytes and TCRalpha-chain genes are assembled in CD4(+)CD8(+) (double positive) thymocytes due, in part, to the developmental stage-specific activities of the TCRdelta and TCRalpha enhancers (Edelta and Ealpha), respectively....

The bootstrap is a popular and powerful method for assessing precision of estimators and inferential methods. However, for massive datasets which are increasingly prevalent, the bootstrap becomes prohibitively costly in computation and its feasibility is questionable even with modern parallel computing platforms. Recently Kleiner, Talwalkar, Sarkar, and Jordan (2014) proposed a method called BL...

Asymmetric synthesis of double bond isomers (+)-2 (delta(15',16')) and (+)-3 (delta(14',15')) of the structure (1) (delta(16',17')) proposed for pyrinodemin A, a cytotoxic bis-pyridine alkaloid with a unique cis-cyclopent[c]isoxazolidine moiety from a marine sponge, has been accomplished. Pyrinodemin A was indicated to be a 1:1 racemic mixture of 2 from comparison of C(18 )and chiral HPLC analy...