73,647 research outputs found
The Shadow Economy and Morals: A Note
If the established rules are obeyed spontaneously in an economy, this increases economic efficiency since the uncertainties, monitoring costs and incentive problems induced by opportunism can be avoided. Opportunism will be increasedby increasing the incentives for unlawful behaviour, however, and a slight increase in these incentives might cause a cumulative and self-nourishing breakdown of morals. The dangers of the growing shadow economy are louring here
Spectrum of mixed bi-uniform hypergraphs
A mixed hypergraph is a triple , where is
a set of vertices, and are sets of hyperedges. A
vertex-coloring of is proper if -edges are not totally multicolored and
-edges are not monochromatic. The feasible set of is the set of
all integers, , such that has a proper coloring with colors.
Bujt\'as and Tuza [Graphs and Combinatorics 24 (2008), 1--12] gave a
characterization of feasible sets for mixed hypergraphs with all - and
-edges of the same size , .
In this note, we give a short proof of a complete characterization of all
possible feasible sets for mixed hypergraphs with all -edges of size
and all -edges of size , where . Moreover, we show that
for every sequence , , of natural numbers there
exists such a hypergraph with exactly proper colorings using colors,
, and no proper coloring with more than colors. Choosing
this answers a question of Bujt\'as and Tuza, and generalizes
their result with a shorter proof.Comment: 9 pages, 5 figure
The biochemical, physiological, and metabolic evaluation of human subjects wearing pressure suits and on a diet of precooked freeze dehydrated foods
Biochemical, physiological and metabolic evaluation of human subjects wearing pressure suits and on diet of precooked frozen dehydrated food
Word maps in Kac-Moody setting
The paper is a short survey of recent developments in the area of word maps
evaluated on groups and algebras. It is aimed to pose questions relevant to
Kac--Moody theory.Comment: 16 pag
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