New N-monodemethyl and N-didemethyl derivatives were obtained from seven N-dimethylamino sugar (rhodosamine)-containing anthracyclines by photochemical reaction and their in vitro bioactivities against L1210 cell culture were compared with those of their N-dimethyl parent compounds. N-Demethyl derivatives obtained from betaclamycin T (7-O-rhodosaminyl-beta-rhodomycinone) were much more cytotoxi...

For every n ≥ 1 and every function F of one argument, we introduce the statement SPF : “for all m, there is N such that for any set A = {a1, a2, . . . , aN} of rational numbers, there is H ⊆ A of size m such that for any two n-element subsets ai1 < ai2 < · · · < ain and ai1 < ak2 < · · · < akn in H, we have | sin(ai1 · ai2 · · · ain )− sin(ai1 · ak2 · · · akn )| < F (i1)”. We prove that for n ≥...

We study the asymptotics of subset counts for the uniformly random partition of the set [n]. It is known that typically most of the subsets of the random partition are of size r, with re=n. Confirming a conjecture formulated by Arratia and Tavare , we prove that the counts of other subsets are close, in terms of the total variation distance, to the corresponding segments of a sequence [Zj] of i...

in the present paper, we introduce the sequence space [{l_p}(e,delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left|  sum_{j in {e_n}} x_j - sum_{j in e_{n + 1}} x_jright| ^p < infty right},] where $e=(e_n)$ is a partition of finite subsets of the positive integers and $pge 1$. we investigate its topological properties and inclusion relations. moreover, we consider the problem of fin...

Implicit bias has recently gained much attention in scholarly attempts to understand and explain different forms of social injustice by identifying causally relevant mental states in individual’ minds. Here we question the explanatory power of implicit bias in a particular type of injustice, testimonial injustice, and more generally in what we call speech injustice. Testimonial injustice occurs...

1954. To be sure, Ball saw the appeal of the Korea, Munich, and dominochain analogies, but in each, he also saw serious weaknesses; more important, he felt he saw deeper similarities to the situation the French had faced, which led him to his gloomy but accurate predictions of what would happen to American troops if they went in. I found this discussion enlightening, but it left me wondering, W...

In an earlier paper the authors introduced the measures of pseudorandomness of subsets of the set of the positive integers not exceeding N , and they also presented two examples for subsets possessing strong pseudorandom properties. One of these examples included permutation polynomials f(X) ∈ Fp[X] and d-powers in Fp. This construction is not of much practical use since very little is known on...