The Global Diffusion of the Internet (GDI) framework was used to study the progress in the adoption of the Internet in close to 30 countries since 1997. A new methodology in data mining is presented to extend the use of Kiviat diagrams to visualize the framework cast in a supplydemand dichotomy. A maximum resolution topology is derived as an additional tool for exploratory data analysis of such...

The topography on Mars is dominated by the crustal dichotomy between the northern and southern hemispheres and the Tharsis rise on the equator[1]. No explanation has been offered so far as to why the dichotomy should be in its current orientation rather than another. The geoid is currently dominated by Tharsis [2] and rotational stability suggests that a Tharsis-sized load would induce polar wa...

Two extremal classes of acyclic groups are discussed. For an arbitrary group G, there is always a homomorphism from an acyclic group of cohomological dimension 2 onto the maximum perfect subgroup of G, and there is always an embedding of G in a binate (hence acyclic) group. In the other direction, there are no nontrivial homomorphisms from binate groups to groups of …nite cohomological dimensio...

The Integer Dichotomy Diagram IDD(n) represents a natural number n ∈ N by a Directed Acyclic Graph in which equal nodes are shared to reduce the size s(n). That IDD also represents some finite set of integers by a Digital Search DAG where equal subsets are shared. The same IDD also represents representing Boolean Functions, IDDs are equivalent to (Zero-suppressed) ZDD or to (Binary Moment) BMD ...

McDonald et al (2005) investigated the Kraepelinian dichotomy of psychosis using brain imaging. They reported distinct grey matter volumetric deficits in patients with schizophrenia and those with psychotic bipolar I disorder but common white matter abnormalities in the two disorders. Kraepelin distinguished dementia praecox and manic–depressive psychosis on the basis of symptomatology, course ...

McDonald et al (2005) investigated the Kraepelinian dichotomy of psychosis using brain imaging. They reported distinct grey matter volumetric deficits in patients with schizophrenia and those with psychotic bipolar I disorder but common white matter abnormalities in the two disorders. Kraepelin distinguished dementia praecox and manic–depressive psychosis on the basis of symptomatology, course ...

The goal of this work is to study homomorphism problems (from a computational point of view) on two superclasses of graphs: 2-edge-coloured graphs and signed graphs. On the one hand, we consider the H-Colouring problem when H is a 2-edge-coloured graph, and we show that a dichotomy theorem would imply the dichotomy conjecture of Feder and Vardi. On the other hand, we prove a dichotomy theorem f...