. Let CA be the complex curve in CP(2) given by the same polynomial as RA. Thus RA = CA∩RP(2). RA is a M-curve precisely when CA \ RA consists of two punctured spheres which are interchanged by complex conjugation. Arbitrarily choose one of these components, say CA. The complex structure on CA induces an orientation on CA, and thus on each immersed circle of RA. Of course if we choose the other...

Let k be an integer, k ≥ 3, and let Zk be the cyclic group of order k. Take λk ∈ [k+2,∞) to be the smallest integer such that for every λk-edge-connected graph G and every mapping f : V (G) → Zk with |E(G)| k ≡ ∑ v∈V (G) f(v), there exits an orientation for G such that for each vertex v, d G (v) k ≡ f(v), where d G (v) denotes the out-degree of v. Lovász, Thomassen, Wu, and Zhang (2013) proved ...

Title: Cross-Cultural Psychology. Subject(s): ETHNOPSYCHOLOGY; CULTURE; PSYCHOLOGY Source: Journal of Cross-Cultural Psychology, Jan2000, Vol. 31 Issue 1, p129, 19p Author(s): Kagitcibasi, Cigdem; Poortinga, Ype H. Abstract: A selection of current and presumably future issues is addressed in four sections. The first section deals with the pervasive controversy between relativistic and universal...

We consider the problem of reorienting an oriented matroid so that all its cocircuits are 'as balanced as possible in ratio'. It is well known that any oriented matroid having no coloops has a totally cyclic reorientation, a reorientation in which every signed cocircuit B = {B + , B − } satisfies B + , B − = ∅. We show that, for some reorientation, every signed cocircuit satisfies 1/f (r) ≤ |B ...

If G is a triangle-free graph, then two Gallai identities can be written as α(G)+ χ(L(G)) = |V (G)| = α(L(G))+ χ(G), where α and χ denote the stability number and the clique-partition number, and L(G) is the line graph of G. We show that, surprisingly, both equalities can be preserved for any graph G by deleting the edges of the line graph corresponding to simplicial pairs of adjacent arcs, acc...

The thermomagnetic force for small spheroidal particles is given in the Waldmann limit. In this limit the force is proportional to the surface area of the particle, and depends on the gas pressure p and on the magnetic field strength H only via H/p. For the gases HD, CH 4 , CO and N2 the ratio of the thermomagnetic and thermal forces is calculated from Senftleben-Beenakker effect data. It is po...

We observe that ω(G) + χ(S( G)) = n = ω(S( G)) + χ(G) for any graph G with n vertices, where G is any acyclic orientation of G and where S( G) is the (complement of the) auxiliary line graph introduced in [1]. (Where as usual, ω and χ denote the clique number and the chromatic number.) It follows that, for any graph parameter β(G) sandwiched between ω(G) and χ(G), then Φβ( G) := n−β(S( G)) is s...

Object identities somehow appear stable and continuous over time despite eye movements, disruptions in visibility, and constantly changing visual input. Recent results have demonstrated that the perception of orientation, numerosity, and facial identity is systematically biased (i.e., pulled) toward visual input from the recent past. The spatial region over which current orientations or face id...

Migratory insects flying at high altitude at night often show a degree of common alignment, sometimes with quite small angular dispersions around the mean. The observed orientation directions are often close to the downwind direction and this would seemingly be adaptive in that large insects could add their self-propelled speed to the wind speed, thus maximising their displacement in a given ti...

The shearlet representation has gained increasing recognition in recent years as a framework for the efficient representation of multidimensional data. This representation consists of a countable collection of functions defined at various locations, scales and orientations, where the orientations are obtained through the use of shearing matrices. While shearing matrices offer the advantage of p...