In this paper, we focus on a hypercube-like structure, the folded hypercube, which is basically a standard hypercube with some extra links between its nodes. Let f be a faulty vertex in an n-dimensional folded hypercube FQn. We show that FQn−{f } contains a faultfree cycle of every even length from 4 to 2n−2 if n ≥ 3 and, furthermore, every odd length from n+ 1 to 2n − 1 if n ≥ 2 and n is even....

Let p > 3 be a prime, ζp a pth primitive root of 1, and ∆ the Galois group of Q(ζp) over Q. Let q 6= p be a prime and n the order of q modulo p. Assume q 6≡ 1 mod p and so n ≥ 2, p(q− 1)|qn − 1, and n|p− 1. Set f = (q − 1)/p and e = (p− 1)/n. Let Q be a prime ideal of Z[ζp] above q and let F = Z[ζp]/Q. Thus F ∼= Fqn , the finite field with q elements. Let α ∈ Z[ζp] be a generator of F such that...

Background With the spread of COVID-19, in application-oriented undergraduate colleges, difficulty teaching work for “double-qualified” teachers has greatly increased, resulting enormous pressure some teachers, which is not conducive to development and physical mental health teachers. Subjects Methods Twenty “double qualified” from a domestic finance economics college were selected divided into...

This study explores the relationship between school demographic characteristics and amount of provided induction activities, as perceived by beginning teachers (BTs), with special attention for Professional Development Schools non-Professional Schools. The aim is to provide information that useful improve arrangements particular contexts. Data were collected in a Dutch national program which qu...

Introduction: Teaching Qualifications (TQs) have been implemented in University Medical Centers, but their relation to teachers’ motivation for medical teaching is unknown. Because teacher motivation influences important outcomes, it is crucial to study how TQs are related to promoting teacher motivation, by fulfilling the basic needs of feeling autonomous, competent, and related towards medica...

Becoming a qualified and excellent Chinese teacher depends on many factors such as the teacher’s teaching ability quality. Teaching has always been core of teachers. Therefore, in order to meet training needs native language teachers, we first need study their abilities develop corresponding programs for current problems. In this study, used questionnaires, interviews observation method investi...