Gravity in d dimensions is formulated as the gauge theory of local SO(2,d-1) gauge group. The Chern-Pontryagin index P2n plays a crucial role in both gravity and gauge theories. P2n(gravity) gives the gravitational Lagrangian in 2n dimensions, having the vacuum solution AdS2n. The same but global symmetry is shared with the gauge theories and 0,1-cochains of the Chern-Simon index C2n(gauge) tak...

The use of fuzzy logic is the advantage especially at decision making processes where the description by algorithms is very difficult and criteria are multiplied. The advantage is that the linguistic variables are used. The fuzzy logic measures the certainty or uncertainty of membership of element of the set. Analogously the man makes decision during the mental and physical activities. The solu...

the superscripts denoting separate isotopic labels. Since Pine and Barker (1956) established that the methyl group of acetate is transferred intact during its incorporation into methane, we wished to determine whether methanol could be metabolized analogously. The deuterium incorporation procedure previously employed for the study of the acetate fermentation was used to establish that all three...

Quasi-Newton methods for numerical optimization exploit quadratic Taylor polynomial models of the objective function. Trust regions are widely used to ensure the global convergence of these methods. Analogously, response surface methods for stochastic optimization exploit linear and quadratic regression models of the objective function. Ridge analysis is widely used to safeguard the optimizatio...

A continuous nested sequence of similar triangles converging to the Brocard point of a given triangle is investigated. All these triangles have the same Brocard point. For polygons, the Brocard point need not exist, but there is always a limit object for an analogously defined nested sequence of inner polygons. This limit object is a Brocard point if and only if the inner polygons are all simil...

We compute low-lying eigenmodes of the gauge covariant Laplace operator on the lattice at finite temperature. For classical configurations we show how the lowest mode localizes the monopole constituents inside calorons and that it hops upon changing the boundary conditions. The latter effect we observe for thermalized backgrounds, too, analogously to what is known for fermion zero modes. We pro...

Many web applications use a mixture of HTML and scripting language code as the front-end to business services. Analogously to traditional applications, redundant code is introduced by copy-and-paste practices. Code duplication is a pathological form of software reuse because of its effects on the maintenance of large software systems. This paper describes how a simple semi-automated approach ca...

We propose revisions to the research agenda in Automated Planning. The proposal is based on a review of the role of the Planning Domain Definition Language (PDDL) in the activities of the AI planning community and the impact of PDDL on parts of its research agenda. We specifically show how specific properties of PDDL have impacted research on planning, by putting emphasis on certain research to...

The memristor, a recently developed electronic component, behaves analogously to synapses in biological neural networks. Neuromorphic systems, which model biological neurons as electronic circuits, can implement memristors as synapses. Memristive devices were fabricated at the University of Michigan using tungsten oxide. These devices were to be used in neuromorphic systems, but they did not su...

This paper analyzes the simplest neoclassical economy in which agents have finite lives and there is sustained per capita growth. The growth rate of the world economy depends upon countries' savings propensities and common technology. Trade can reverse an economy's autarkic growth trajectory, and a country with a high savings rate runs a current account surplus. If a surplus country expands agg...