scholarly journals Entropy dimension for deterministic walks in random sceneries

2021 ◽  
pp. 1-18
Author(s):  
DOU DOU ◽  
KYEWON KOH PARK

Abstract Entropy dimension is an entropy-type quantity which takes values in $[0,1]$ and classifies different levels of intermediate growth rate of complexity for dynamical systems. In this paper, we consider the complexity of skew products of irrational rotations with Bernoulli systems, which can be viewed as deterministic walks in random sceneries, and show that this class of models can have any given entropy dimension by choosing suitable rotations for the base system.

2007 ◽  
Vol 86 (10) ◽  
pp. 2162-2171 ◽  
Author(s):  
G. Lopez ◽  
K. de Lange ◽  
S. Leeson

2021 ◽  
Vol 22 (2) ◽  
pp. 164-168
Author(s):  
S. M. Odeyinka ◽  
A. A. Ademosun

The study evaluated the effects of level of feed offer on dry matter intake (DMI) , digestibility, the parts of plants selected and on the growth rate of West African dwarf (WAD) goats without resulting in toxicity. Seven different levels of feed offer ranging from 40g/kg0.75/day to 130Wkg0.75/day in increments of 15g/kg0.75) were fed to two groups of goats. The first group was fed 100% Gliricidia while the while the second was fed 50% Gliricidia and 50% Leucaena diet (50/50). The level of feed offer had significant effect on the DIM and digestible DMI (DDMI) of the goat (P < 0.01). The Leucaena intake in a 50/50 diet was always higher than the Gliricidia intake except at 55g1kg0.75 offer level. The level of feed offer had significant effects on the parts of plants selected (P < 0.01.) and on the growth rate. The leaf intake was statistically higher than the stem intake (P < 0.01). All the goats on 40g/kg0.75 and 55g/kg0.75 on a 100% Gliricidia diet lost weight while only those on 40g/kg0.75 lost weight on a 50/50 diet. There was no significant difference in the growth rate of goats on feed offer levels of 70g to 130g/kg0.75 (P > 0.05). The study indicate that goats performance was higher on a mixed browse diet than on Gliricidia alone. Goats performed best at 100g/kg0.75 offer level.


1984 ◽  
Vol 103 (1) ◽  
pp. 137-153 ◽  
Author(s):  
J. E. Frisch ◽  
T. E. Vercoe

SummaryCalves from three breeds, Brahman, Hereford × Shorthorn (HS) and Brahman × HS (BX), were divided equally into two groups, one of which was treated every 3 weeks from birth onwards to control ticks and gastrointestinal helminths, and one of which was untreated. Mortalities, growth rates and levels of resistance to environmental stresses that affected both mortality and growth under grazing conditions were recorded for all animals up to weaning (6 months) and for all males up to 15 months of age. The Brahmans were the most and the HS were the least resistant to environmental stresses, each of which was shown to depress growth in proportion to its magnitude and to contribute to the high mortalities of the HS. All breeds responded positively to parasite control with the greatest response in both survival and growth in the HS breed and the least response in the Brahman breed.Samples of males from the various breed-treatment groups were taken into pens where they were protected from environmental stresses and fed both low-quality pasture hay and high-quality lucerne hay ad libitum. Measurements were made of fasting metabolism, maintenance requirement, voluntary food intake and gain, variables related to the growth potential of each animal. The HS animals had the highest whilst the Brahmans had the lowest values for each variable.However, despite their low growth potential, the Brahmans had the highest growtli rate, and the HS, despite their high growth potential, had the lowest growth rate, when growth was measured in the presence of all environmental stresses. When parasites were controlled, growth rates were highest for the BX, the breed with intermediate growtli potential, and did not differ between the HS and Brahmans. These interactions arose because of the different contributions of resistance to environmental stresses and growth potential to growth rate measured at the different levels of environmental stresses. The relevance of these interactions to breed evaluation and cross-breeding is considered.Growth potential and resistance to environmental stresses were negatively correlated both between and within breeds, though the latter was biased by the effects of compensation. The influence of these relationships on the likely outcome of selection for increased growth rate, both between and within breeds, is discussed.


1984 ◽  
Vol 4 (2) ◽  
pp. 213-224 ◽  
Author(s):  
A. Fathi

AbstractWe prove that any locally compact, non-compact, second countable group acts minimally on any metrizable connected manifold modelled on the separable Hilbert space.


2013 ◽  
Vol 55 (2) ◽  
pp. 81-88 ◽  
Author(s):  
Atilla Dursun ◽  
Ismail Güvenç ◽  
Metin Turan

As opposed to direct sowing, production of seedlings of vegetable crops for transplanting is commonly practiced by vegetable growers. This study was undertaken to determine the effects of humic acid on the growth and the macro and micro nutrients contents in tomato (<i>Lycopersicon esculentum</i>) and eggplant (<i>Solanum melongena</i> var. <i>esculentum</i>) seedlings under greenhouse conditions. Different levels of humic acid (50, 100, 150, 200 ml l<sup>-1</sup>) were applied to growing media (peat) after transplanting of examined seedlings of the species every ten days by the time of planting. The highest growth rate for leaf stem and root growth were obtained at 50 and 100 ml l<sup>-1</sup> HA and 50, 100, 150 ml l<sup>-1</sup> HA for tomato and eggplant seedlings., respectively as compared to the control. The highest content of macro and micronu trient contents were obtained at 100 ml l<sup>-1</sup> HA and 200 ml l<sup>-1</sup> HA for tomato and egg plant seedlings, respectively as compared to the control.


This handbook examines how actors have valued generality in mathematics and the sciences and how they worked with specific types of “general” entities, procedures, and arguments. It argues that actors have shaped these various types of generality, mainly by introducing specific terminologies to distinguish between different levels or forms of generality, as well as designing means to work with them, or to work in relation to them. The book is organized into three parts. Part I deals with the meaning and value of generality, and more specifically the value of generality in Michel Chasles’s historiography of geometry and generality in Gottfried Leibniz’s mathematics. Part II focuses on statements and concepts that make up the general, covering topics such as Henri Poincaré’s work on the recurrence theorem and the role of genericity in the history of dynamical systems theory. Part III explores the practices of generality, including the dispute over tangents between René Descartes and Pierre de Fermat, generality in James Clerk Maxwell’s theory of electromagnetism, and practices of generalization in mathematical physics, biology, and evolutionary strategies.


1996 ◽  
Vol 1996 ◽  
pp. 109-109
Author(s):  
M.I. Mustafa ◽  
G.M. Webster ◽  
Gillian M. Povey

Previous trials at Newcastle have shown that plane of nutrition affects the growth performance, carcass composition and eating quality of lambs (Mustafa and Webster, 1995). It has also been found that lean tissue growth rate, a characteristic it is possible to manipulate nutritionally, influences meat quality in pigs and cattle (Whipple et al., 1990; Blanchard et al., 1995), although no similar studies have been undertaken with growing lambs. This experiment was designed to study the effect of four diets with different levels of metabolizable energy (ME) but with the same crude protein and undegradeable protein (DUP) levels on growth, carcass composition, tissue growth rate and meat quality characteristics of lambs of two breeds.


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