Abstract The generalized Broer-Kaup-Kupershmidt (generalized BKK) isospectral problem, including the x-derivative of potential, is considered based on Lie algebra A1. The variational trace identity is extended to construct Hamiltonian structure of generalized BKK system. The Lie algebra A1 is extended to the non-semi-simple Lie algebra of 4 × 4 matrix form, from which a hierarchy of soliton equ...

More general results, including arbitrary Fuchsian groups, can be found in the paper [Bo2] of Borcherds, Sect. 7. Most of them have been proved by the Selberg trace formula, see [Iv] and also [Fi]. The Selberg trace formula in its standard form causes the restriction that the weight is > 2. Borcherds mentions that “with a bit more care this also works for weight 2”. As we mentioned, this bit mo...

Very recently, the second author showed that the question whether an equation over a trace monoid has a solution or not is decid-able 11,12]. In the original proof this question is reduced to the solv-ability of word equations with constraints, by induction on the size of the commutation relation. In the present paper we give another proof of this result using lexicographical normal forms. Our ...

In the Southern Hemisphere, evidence for preindustrial atmospheric pollution is restricted to a few geological archives of low temporal resolution that record trace element deposition originating from past mining and metallurgical operations in South America. Therefore, the timing and the spatial impact of these activities on the past atmosphere remain poorly constrained. Here we present an ann...

Introduction: Anemia in children is a public health issue, and the current strategies include treatment and iron supplementation, but their level of adherence or compliance is unknown. Objective: To consider the adherence to multiple micronutrient powders and the associated factors. Methods: Epidemiological study of active surveillance through sentinel facilities in 2,024 children aged 6 to...

the aim of this study was to measure the alterations in serum zinc (zn) copper (cu) and iron (fe) concentrations in patients with acute and chronic cutaneous leishmaniasis. serum zinc and copper were measured by flameless atomic absorption spectrophotometer and serum iron concentration was measured by the ferrozine method with commercial kits and assay was carried out by using an automatic anal...

We present three results on divisibility monoids. These divisibility monoids were introduced in [11] as an algebraic generalization of Mazurkiewicz trace monoids. (1) We give a decidable class of presentations that gives rise precisely to all divisibility monoids. (2) We show that any divisibility monoid is an automatic monoid [5]. This implies that its word problem is solvable in quadratic tim...

UNLABELLED Iron deficiency causes anaemia and other adverse effects on the nutritional status and development of millions of children. Multi-micronutrient powders (MNP) have been shown to reduce anaemia in young children. In Peru, 50% of children 6-36 months are anaemic. Since 2009, the government has started distributing MNP. This qualitative study explored the acceptability of MNP by caregive...

A cooperative regional research study using 194 sows, from which data were collected from 381 litters, was conducted at 3 research stations to determine the effects of added psyllium (a concentrated fiber source) or soybean hulls to gestation diets on reproductive performance of sows and preweaning performance of their pigs. Primiparous and multiparous sows were allotted to the 3 treatments of ...

background & aim: in some studies, changes in trace elements of abuse of addictive substances have been mentioned. due to the effects of trace elements on the immune system and their effects on susceptibility to infectious agents, the purpose of this study was to investigate the effect(s) of morphine dependency on the concentration of trace elements (copper, zinc and manganese) levels in serum ...