Let x ∈ [0, 1). In this paper we find the rate at which knowledge about the partition elements x lies in for one sequence of partitions determines the partition elements it lies in for another sequence of partitions. This rate depends on the entropy of these partitions and the geometry of their shapes, and gives a two-dimensional version of Lochs’ Theorem. Date: November 15, 2004. 1991 Mathemat...

We propose an evolutionary framework for optimal portfolio growth theory in which investors subject to environmental pressures allocate their wealth between two assets. By considering both absolute wealth and relative wealth between investors, we show that different investor behaviors survive in different environments. When investors maximize their relative wealth, the Kelly criterion is optima...

BACKGROUND In the absence of stochasticity, allometric growth throughout ontogeny is axiomatically described by the logarithm-transformed power-law model, θt = log(a) b + kφ(t), where θt ≡ θ(t) and φt ≡ φ(t) are the logarithmic sizes of two traits at any given time t. Realistically, however, stochasticity is an inherent property of ontogenetic allometry. Due to the inherent stochasticity in bot...

Many studies have been undertaken in the past half century to assess the relative values, for production, of the proteins in those cereals most commonly used in the feeding of non-ruminant animals. Cereals are usually regarded in the first place as a major source of energy, but they incidentally supply from oneto two-thirds or more of the dietary protein requirement. For poultry the proportion ...

Drought as the most important abiotic stress has deleterious effects on plants. Developing drought tolerant varieties can help produce plants in a sustainable way. This study was conducted to identify drought tolerant and drought sensitive thyme species including Thymus vulgaris, T. vulgaris (origin: Spain), T. carmanicus, T. daenensis and T. kotschyanus and to study the mechanism used by them ...

Abiotic stresses including salinity are the major limiting factors of growth and crop production worldwide. Microbial endophytes as the most important soil microorganisms, by modifying plants at genetical, physiological and ecological levels increase their yield per area unit and provide the possibility of crop production in saline and arid soils or climates with biotic and abiotic stresses. Th...

BACKGROUND The optimal treatment of acute Crohn's disease in children remains controversial. In adults, steroid therapy has been shown to be superior to exclusive enteral nutrition. However, enteral nutrition is effective at inducing a remission in many children with acute Crohn's disease. Steroid usage in children has been associated with adverse side effects, particularly with delayed growth ...

In Singapore, the frequency and magnitude of dengue epidemics have increased significantly over the past 40 years. It is important to understand the main drivers for the rapid increase in dengue incidence. We studied the relative contributions of putative drivers for the rise of dengue in Singapore: population growth, climate parameters and international air passenger arrivals from dengue endem...