We study several classes of polynomials, which are related to the Chebyshev, Morgan-Voyce, Horadam and Jacobsthal polynomials. Thus, we unify some of well-known results.

Let f be a de Morgan read-once function of n variables. Let f " be the random restriction obtained by independently assigning to each variable of f, the value 0 with probability (1 ? ")=2, the value 1 with the same probability, and leaving it unassigned with probability ". We show that f " depends, on the average, on only O(" n + "n 1==) variables, where = log p 5?1 2 ' 3:27. This result is asy...

We prove Beurling's theorem and L p − L q Morgan's theorem for step two nilpotent Lie groups. These two theorems together imply a group of uncertainty theorems.

The Genetics Society of America annually honors members who have made outstanding contributions to genetics. The Thomas Hunt Morgan Medal recognizes a lifetime contribution to the science of genetics. The Genetics Society of America Medal recognizes particularly outstanding contributions to the science of genetics within the past fifteen years. The George W. Beadle Medal recognizes distinguishe...

George Buchanan was born in the year 1881 in Myddleton Square, Islington, where his father was in medical practice. He received his early education at University College School, and subsequently at the adjacent college. During this period he worked under T. H. Key and de Morgan; he acquired much fondness for classics, notably the English classics, and he was awarded medals in biology and chemis...

We show that the classifying topos for the theory of fields does not satisfy De Morgan’s law, and we identify its largest dense De Morgan subtopos as the classifying topos for the theory of fields of nonzero characteristic which are algebraic over their prime fields.

In this paper, we shall introduce generalized fuzzy compactness in L-spaces where L is a complete de Morgan algebra. This definition does not rely on the structure of basis lattice L and no distributivity is required. The intersection of a generalized fuzzy compact L-set and a generalized closed Lset is a generalized fuzzy compact L-set. The generalized irresolute image of a generalized fuzzy c...

Whereas the research of the 19th-century mathematician Augustus De Morgan in formal logic is fairly familiar to historians of mathematics, his work in probability is largely unknown to the modern reader. For this reason, few would be aware that this work contains a self-admitted error in probabilistic reasoning. This mistake is intriguing not only because it features in the work of someone who ...

The calculus of relations was created and developed in the second half of the nineteenth century by Augustus De Morgan, Charles Sanders Peirce, and Ernst Schrbder. In 1940 Alfred Tarski proposed an axiomatization for a large part of the calculus of relations. In the next decade Tarski's axiomatization led to the creation of the theory of relation algebras, and was shown to be incomplete by Roge...