Let $K$ be a field of characteristic$p>0$, $K[[x]]$, the ring of formal power series over $ K$,$K((x))$, the quotient field of $ K[[x]]$, and $ K(x)$ the fieldof rational functions over $K$. We shall give somecharacterizations of an algebraic function $fin K((x))$ over $K$.Let $L$ be a field of characteristic zero. The power series $finL[[x]]$ is called differentially algebraic, if it satisfies...

There is ample evidence that individuals with dyslexia have a phonological deficit. A growing body of research also suggests that individuals with dyslexia have problems with categorical perception, as evidenced by weaker discrimination of between-category differences and better discrimination of within-category differences compared to average readers. Whether the categorical perception problem...

BACKGROUND An assumption of clinical competency is no longer acceptable or feasible in routine clinical practice. We sought to determine the feasibility, practicability and efficacy of undertaking a formal assessment of clinical competency for all postgraduate medical trainees in a large NHS foundation trust. METHODS FY1 doctors were asked to complete a questionnaire to determine prior experi...

The "5-to-7-year shift" refers to the remarkable improvements observed in children's cognitive abilities during this age range, particularly in their ability to exert control over their attention and behavior-that is, their executive functioning. As this shift coincides with school entry, the extent to which it is driven by brain maturation or by exposure to formal schooling is unclear. In this...

Children who are viewed as ready for kindergarten and/or first grade typically exhibit high attention, approach, and adaptability coupled with low activity and reactivity. These characteristics tend to be especially valued by teachers and describe a child who is "teachable," or school ready. Since many children enter formal schooling earlier by attending pre-K for 4-year olds, often called 4-ye...

the book titled “bases of politics” is the original text for students of bachelor of political sciences which is taught in a three-unit course. this compilation has been introduced as the best reference for bases of politics course and master of science exam. we first introduce this text and assert its assumptions and then evaluate and criticize in contain and formal manner and finally after pr...

In this study, the relationship between intellectual risk taking in science learning and metacognitive awareness of sixth, seventh eighth-grade students was investigated by using path analysis technique. This study is predictive research designed to determine awareness, grade level, gender, students' taking. we examined a hypothesized model relationships variables. According model, endogenous v...