The antioxidant potential of crude methanol extract (CE) as well as chloroform (CF), ethyl acetate (EF) and n-butanol (NF) soluble fractions of Enhydra fluctuans Lour, which is widely used in indigenous system of medicine for different purposes, were studied. The antioxidant potential of extract/different fractions were evaluated using different in vitro antioxidant models. In addition, total a...

We investigate when an algebraic function of the form φ(λ) = −B(λ)+ √ R(λ) A(λ) , where R(λ) is a polynomial of odd degree N = 2g + 1 with coefficients in C, can be written as a periodic α-fraction of the form

To accommodate the 9 new experimental papers listed in the τ References for this edition, only a few changes were made to the τ Listings. There were new measurements of the τ charged-prong topological branching fractions by the DELPHI [1] and L3 [2] collaborations. Early measurements of these branching fractions tended to define charged tracks from K 0 S → π − π + decays as charged prongs, whil...

It is well known that the ancient Egyptians represented each fraction as a sum of unit fractions – i.e., fractions with unit numerators; this is how they, e.g., divided loaves of bread. What is not clear is why they used this representation. In this paper, we propose a new explanation: crudely speaking, that the main idea behind the Egyptian fractions provides an optimal way of dividing the loa...

An old problem adressed by Khintchin [15] deals with the behaviour of the continued fraction expansion of algebraic real numbers of degree at least three. In particular, it is asked whether such numbers have or not arbitrarily large partial quotients in their continued fraction expansion. Although almost nothing has been proved yet in this direction, some more general speculations are due to La...

Let Ak*(n) be the number of positive integers a coprime to n such that the equation a n=1 m1+ } } } +1 mk admits a solution in positive integers (m1 , ..., mk). We prove that the sum of A2*(n) over n x is both >>x log 3 x and also <<x log x. For the corresponding sum where the a's are counted with multiplicity of the number of solutions we obtain the asymptotic formula. We also show that Ak*(n)...

The B factories continue to dominate experimental publications on the τ. Since the previous edition of this Review, there have been 15 published papers that have contributed measurements to the τ Listings, including 6 from the BaBar Collaboration and 8 from the Belle Collaboration. Seven of these papers have provided new upper limits on the branching fractions for neutrinoless τ-decay modes. Of...