After first determining criteria for wild ramification of L/K (which can only happen at primes above 2), the above result is obtained for n = 2 (e ≥ 3) by computing TL/K(OL) explicitly, and is then extended to the general case. This approach does not rely on Leopoldt’s Theorem, in contrast to the techniques used in [4]. The explicit nature of the calculations used to compute I(L/K) leads to the...

Let G be a plane graph and T an even subset of its vertices. It has been conjectured that if all T -cuts of G have the same parity and the size of every T -cut is at least k, then G contains k edge-disjoint T -joins. The case k = 3 is equivalent to the Four Color Theorem, and the cases k = 4, which was conjectured by Seymour, and k = 5 were proved by Guenin. We settle the next open case k = 6.

background: leucocytozoonosis is a disease of birds caused by obligate intracellular protozoa of the genus leucocytozoon. we determined the prevalence of leucocytozoon spp. using light and transmis-sion electron microscopy in domestic birds in southwest of iran. methods: a total of 825 blood smears from 275 birds were examined for presence of infection. the structure morphology of leucocytozoon...

Four sources of information are available to the intelligent CALL system described here: individual performance, individual background, individuals' own (stated) beliefs, and typical learner progression. A learner's performance in the target domain constitutes the traditional information in a student model. However, there are many factors involved in learning a foreign language. For example, a ...

[This corrects the article on p. 267 in vol. 42, PMID: 26015880.].

In this note the Stone-Cech compactification is used to produce short proofs of two theorems on the structure of free topological groups. The first is: The free topological group on any Tychonoff space X contains, as a closed subspace, a homeomorphic copy of the product space X". This is a generalization of a result of B. V. S. Thomas. The second theorem proved is C. Joiner's, Fundamental Lemma.

Strengths-based solution-focused approaches are gaining ground in statutory child protection work, but few studies have asked front line practitioners how they navigate the complex worker-client relationships such approaches require. This paper describes one component of a mixed-methods study in a large Canadian statutory child protection agency in which 225 workers described how they applied t...