Characters of Finite Quasigroups IV: Products and Superschemes

For finite loops (as for finite groups), the character table of a direct product is the tensor product of the character tables of the direct factors. This is no longer true for quasigroups. Although non-ℨ and ℨ-quasigroups may have the same character table, the character table of Q × Q determines whether a finite non-empty quasigroup Q lies in ℨ or not. A combinatorial interpretation of the tensor square of a quasigroup character table is obtained, in terms of superschemes, a higherdimensional extension of the concept of association scheme

Varieties of distributive rotational lattices

A rotational lattice is a structure (L;\vee,\wedge, g) where L=(L;\vee,\wedge) is a lattice and g is a lattice automorphism of finite order. We describe the subdirectly irreducible distributive rotational lattices. Using J\'onsson's lemma, this leads to a description of all varieties of distributive rotational lattices.Comment: 7 page

Gyrations: The Missing Link Between Classical Mechanics with its Underlying Euclidean Geometry and Relativistic Mechanics with its Underlying Hyperbolic Geometry

Being neither commutative nor associative, Einstein velocity addition of relativistically admissible velocities gives rise to gyrations. Gyrations, in turn, measure the extent to which Einstein addition deviates from commutativity and from associativity. Gyrations are geometric automorphisms abstracted from the relativistic mechanical effect known as Thomas precession

Evolutionary Entropy: A Predictor of Body Size, Metabolic Rate and Maximal Life Span

Body size of organisms spans 24 orders of magnitude, and metabolic rate and life span present comparable differences across species. This article shows that this variation can be explained in terms of evolutionary entropy, a statistical parameter which characterizes the robustness of a population, and describes the uncertainty in the age of the mother of a randomly chosen newborn. We show that entropy also has a macroscopic description: It is linearly related to the logarithm of the variables body size, metabolic rate, and life span. Furthermore, entropy characterizes Darwinian fitness, the efficiency with which a population acquires and converts resources into viable offspring. Accordingly, entropy predicts the outcome of natural selection in populations subject to different classes of ecological constraints. This predictive property, when integrated with the macroscopic representation of entropy, is the basis for enormous differences in morphometric and life-history parameters across species

The systemwide livestock programme: A promising research-for development concept

Expansion of global population each year at the rate of approximately 90 million more than the current population of The Philippines will also necessitate unprecedented expansion of food production. As there is little room to bring more land under cultivation, almost all of the increase must come from productivity gains. The challenge being faced is much more complex than ever before, as never before have agricultural systems had to respond simultaneously to the triple goals of increasing food security, reducing rural and global poverty, and improving the management of natural resources. As with earlier challenges science is being looked upon to provide the solutions. New kinds of scientific partnerships will be required to respond to this triple challenge. Such partnerships must facilitate strong alliances among the international agricultural research centres of the Consultative Group on International Agricultural Research (CGIAR), advanced research institutions in both developed and developing countries, and the national agricultural research systems of developing countries. These partnerships must lever the intellectual and material resources of their members, promote coherence and capitalise on synergies. The Systemwide Livestock Programme (SLP) of the CGIAR is offered as one such partnership model. How this Programme responds to the aforementioned challenges and its use of virtual networks and virtual laboratories to facilitate decentralised management, promote ownership and provide operational effectiveness and efficiencies within global partnerships are discussed in this paper

Characters of finite quasigroups

SIGLEDEGerman