The enzymatic degradation of chondroitin sulfuric acid can be catalyzed by purified bovine testicular hyaluronidase (1, 2) and by an enzyme preparation from Flavobacterium heparinum (3). Dodgson and Lloyd (4) obtained a chondroitinase from Proteus vulgaris that converted chondroitin sulfuric acid to the disaccharide, N-acetylchondrosin sulfate. Previous work from this laboratory (5) has confirm...

CENTER FOR THE STUDY OF LANGUAGE AND INFORMATION " We do not listen with the best regard to the verses of a man who is only a poet, nor to his problems if he is only an algebraist; but if a man is at once acquainted with the geometric foundation of things and with their festal splendor, his poetry is exact and his arithmetic musical. 1 Background In 1879, the English mathematician Charles Dodgs...

Kinetic data for the hydrolysis of potassium pacetylphenyl sulphate by fresh rat liver suspensions suggested that the arylsulphatase activity so observed could be attributed to a single enzyme (Dodgson, Spencer & Thomas, 1953) which was later found to be localized mainly in the microsomes of the liver cell (Dodgson, Spencer & Thomas, 1954a). Preliminary attempts to purify the microsome enzyme (...

Using a recurrence derived from Dodgson's Condensation Method, we provide numerous explicit evaluations of determinants. They were all conjectured, and then rigorously proved, by computer-assisted methods, that should be amenable to full automation. We also mention a rst step towards that goal, our Maple package, DODGSON, that automates the special case of Hankel and Toeplitz hypergeometric det...

It is now well established that mammalian tissues contain an enzyme system that can desulphate L-serine 0-sulphate both in vivo (Tudball, 1962) and in vitro (Dodgson & Tudball, 1961). Information about the precise nature of the system is very limited and it is still not clear whether a simple hydrolase is involved. However, the localization of the enzyme system in the high-speed supernatant fra...

We investigate issues related to two hard problems related to voting, the optimal weighted lobbying problem and the winner problem for Dodgson elections. Regarding the former, Christian et al. [CFRS06] showed that optimal lobbying is intractable in the sense of parameterized complexity. We provide an efficient greedy algorithm that achieves a logarithmic approximation ratio for this problem and...

In this paper, we focus on Radic’s definition for the determinant of non-square matrices. We develop some important properties of this determinant. We generalize several classical important determinant identities, including Dodgson’s condensation, Cauchy-Binet, and Trahan for non-square matrices. Also, we propose an efficient algorithm with Θ((mn)) time complexity for computing Radic’s determin...