The Coloured Sunsets

Novaya Zemlya effect and sunsets.

Systematics of the Novaya Zemlya (NZ) effect are discussed in the context of sunsets. We distinguish full mirages, exhibiting oscillatory light paths and their onsets, the subcritical mirages. Ray-tracing examples and sequences of solar images are shown. We discuss two historical observations by Fridtjof Nansen and by Vivian Fuchs, and we report a recent South Pole observation of the NZ effect ...

The Cape Coloured People*

and the spleen usually becomes bigger. The pressure in the portal vein and its radicles may rise from the normal 8 to 11 mm. Saline to as much as 50 mm. Saline. Anastomotic channels between the portal and the systemic systems open up. The veins round the lower end of the oesophagus are the most important of these anastomotic channels and become enormously dilated. They bleed readily and massive...

The Coloured Quantum Plane

Abstract. We study the quantum plane associated to the coloured quantum group GL q (2) and solve the problem of constructing the corresponding differential geometric structure. This is achieved within the R-matrix framework generalising the Wess-Zumino formalism and leads to the concept of coloured quantum space. Both, the coloured Manin plane as well as the bicovariant differential calculus ex...

Coloured Spectacles

Properly Coloured Hamiltonian Paths in Edge-coloured Complete Graphs

We consider edge-coloured complete graphs. A path or cycle Q is called properly coloured (PC) if any two adjacent edges of Q differ in colour. Our note is inspired by the following conjecture by B. Bollobás and P. Erdős (1976) : if G is an edge-coloured complete graph on n vertices in which the maximum monochromatic degree of every vertex is less than bn/2c, then G contains a PC Hamiltonian cyc...