Euler sums (also called Zagier sums) occur within the context of knot theory and quantum field theory. There are various conjectures related to these sums whose incompletion is a sign that both the mathematics and physics communities do not yet completely understand the field. Here, we assemble results for Euler/Zagier sums (also known as multidimensional zeta/harmonic sums) of arbitrary depth,...

the first enzyme of the pathway for uridine diphosphate n-acetyl-d-glucosamine (udpag) biosynthesis i.e. l-glutamine: d-fructose 6-p amidotransferase (e.c. 2.6.1.16) was purified 52-fold from human placenta using methanol fractionation and column chromatography on deae-sephadex a-50. the enzyme showed optimal activity in a broad range of ph from 5.8 to 7.8 in both phosphate and cacodylate buffe...

The structure of a k-fold monoidal category as introduced by Balteanu, Fiedorowicz, Schwänzl and Vogt in [2] can be seen as a weaker structure than a symmetric or even braided monoidal category. In this paper we show that it is still sufficient to permit a good definition of (n-fold) operads in a k-fold monoidal category which generalizes the definition of operads in a braided category. Further...

The small tree, Dichrostachys cinerea, occurs in dense patches within grasslands on gabbro-derived soils the southern Kruger National Park. It is not known whether soil properties affect tree establishment. As a first step identifying potentially underpinning differences vegetation structure, we analysed chemistry of pedoderm (0–2 cm) and adjacent open grassland. Relative to patches, grassland ...

In the present paper, authors introduce and investigates two new subclasses and, of class k-fold bi-univalent functions in open unit disk. The initial coefficients for all that belong to them were determined, as well a field determining these requires complicated process. bounds are contained among remaining results our analysis obtained. addition, some specific special improver related classes...