In this paper, I apply framing theory to the online newspaper opinion articles that were most shared and most liked in social media in 2014. The articles were published in two of Norway’s largest and most influential online newspapers; Dagbladet.no and Aftenposten.no. Frame analysis makes visible how people define and construct a given issue, and as such can provide valuable input on how to wri...

When studying curves, we studied how the curve twisted and turned in space. We now turn to surfaces, two-dimensional objects in three-dimensional space and examine how the concept of curvature translates to surfaces. In Calculus 3, you have encounter surfaces defined as graphs of real valued functions of two variables z = f(x, y). This function also can take the form x = f(y, z) or y = f(x, z)....

We prove Gaussian estimates for heat kernels on semisimple Lie groups by using the method of Bloch wave representation. We also give a large time asymptotic expansion for heat kernels on compact extensions of abelian Lie groups.

This article has three goals. First, we generalize the result of Deuring and Serre on the characterization of supersingular locus to all Shimura varieties given by totally indefinite quaternion algebras over totally real number fields. Second, we generalize the result of Ribet on arithmetic level raising to such Shimura varieties in the inert case. Third, as an application to number theory, we ...

Bloch points in permalloy cylinders are investigated using a micromagnetic framework, where thermal effects are included via the Landau-Lifshitz-Bloch equation of motion. We show that this enables micromagnetic modeling of a Bloch point avoiding the problem of singularities, which have been rep0l1ed in the literature so far. The details of the Bloch point which we reveal are compared with earli...

Especially notable here is Spencer Bloch’s semi-regularity paper [B]. The advantage of this approach is that one can use the full strength of the deformation theory of subvarieties. One might similarly ask whether there is a family of algebraic cycles {Zt}t∈B deforming Z; some first steps toward an infinitesimal theory for this problem were the subject of [G-G2]. A third possible context, which...

SUMMARY This paper presents a methodology for designing single-degree-of-freedom expandable " free-form " structures composed of rigid blocks connected through simple cylindrical joints. The underlying idea is to interconnect two or more individually expandable plate structures. Using a two-dimensionally expanding sphere as a first example, the conditions that must be satisfied to preserve the ...

The characterization by weighted Lipschitz continuity is given for the Bloch space on the unit ball of Rn. Similar results are obtained for little Bloch and Besov spaces.

We construct an example of a torus T over a field K for which the Galois symbol K(K;T, T )/nK(K; T, T ) → H(K,T [n] ⊗ T [n]) is not injective for some n. Here K(K; T, T ) is the Milnor K-group attached to T introduced by Somekawa. We show also that the motive M(T×T ) gives a counterexample to another generalization of the Milnor-BlochKato conjecture (proposed by Beilinson).