Before embarking on the proof, we first explain Theorem 1 in a bit more detail, in particular identifying the two categories that are relevant to our discussion. So let Gk denote the category whose objects are profinite group extensions of Gk by a pro-p group, and whose morphisms are outer open Gkhomomorphisms. Thus, an object of Gk is a profinite group G together with a continuous surjection π...

Background: Communication is the key role in the nursing profession. Nurse-patient communication is highly important especially when the patient is a child. Studies indicate inappropriate contact with children in the pediatric wards. This study investigated effect of training on communication skills of nurse with child through small group discussion. Methods: This study is a clinical trial wit...

Background and Aim: Mothers’ training about suitable nutritional models plays an important role in the development of children’s nutritional habits. These habits may continue into adulthood and promote the individual’s lifestyle. In the present study, we aimed to compare the effects of mother’s training via newsletter and discussion group on energy intake of preschool children. Methods: This ex...

Objectives: This study aimed to develop a modulated program of parenting skills and to evaluate its effectiveness in reducing autistic symptoms and increasing parental adjustment. Methods: This quasi-experimental study utilized in two phases, a pretest- posttest design and a control group. First, a treatment program with both individual and group structure was constructed considering available...

The algebraic structure underlying non-commutative Lie-Butcher series is the free Lie algebra over ordered trees. In this paper we present a characterization of this algebra in terms of balanced Lyndon words over a binary alphabet. This yields a systematic manner of enumerating terms in non-commutative Lie-Butcher series.

Let Γ be a cocompact Fuchsian group. We calculate the lower algebraic K-theory of the integral group ring ZΓ and find an explicit formula for Ki(ZΓ), i ≤ 1, in terms of the lower K-groups of finite cyclic groups.

In this paper, we present a new vision for studying ${F}$-open, ${F}$-continuous, and ${F}$-irresolute function in $(L,M)$-fuzzy topological spaces based on the implication operation and $(L,M)$-fuzzy ${F}$-open operator cite{2}. These kinds of functions are generalized with their elementary properties to $(L,M)$-fuzzy topological spaces setting based on graded concepts. Moreover, a systematic ...