where ~ = (Kp/rR ) '~ is the weighted nongreyness, K p and r R are the Planck mean and the Rosseland mean of the absorption coefficient, r = rM6 K is optical thickness, r M = (rprR)'/~ the mean absorption, 8 K the conduction flame thickness, P = 4o TM3/(~5 K) the Planck number, T M the adiabatic flame temperature, ~ the thermal conductivity, and w the albedo, the ratio of scattering to extinction.

This paper concerns complex algebraic K3 surfaces with an automorphism which acts trivially on the Néron-Severi group. Complementing a result by Vorontsov and Kondō, we determine those K3 surfaces where the order of the automorphism is a 2-power and equals the rank of the transcendental lattice. We also study the arithmetic of these K3 surfaces and comment on mirror symmetry.

Abstract Purpose 8K Ultra-high-definition (UHD) imaging has been developed in accordance with the progression of technologies. We evaluated laparoscopic procedures performed by novice medical students using 2K/two-dimensional (2D), 2K/three-dimensional (3D) and 8K/2D monitors, a particular focus on depth perception. Methods Nine were enrolled. They two tasks 2K/2D, 2K/3D monitors. In Task 1, th...

A graph is triangulated if it has no chordless cycle with at least four vertices (8k 4; C k 6 6 G). These graphs have been generalized by R. Hayward with the weakly triangulated graphs (8k 5; C k ; C k 6 6 G). In this note we propose a new generalization of triangulated graphs. A graph G is slightly triangulated if it satisses the two following conditions : 1. G contains no chordless cycle with...

Let Σ = (X,B) be an 8-cycle system of order v = 1+16k. A c-colouring of type s is a map φ : B → C, with C set of colours, so that exactly c colours are used and for every vertex x all the blocks containing x are coloured with exactly s colours. Let 8k = qs+ r, with q, r ≥ 0. The colouring φ is called equitable if for every vertex x the set of the 8k blocks containing x is partitioned into r col...