Computation of the entropy of polynomials orthogonal on an interval.

We give an effective method to compute the entropy for polynomials orthogonal on a segment of the real axis that uses as input data only the coefficients of the recurrence relation satisfied by these polynomials. This algorithm is based on a series expression for the mutual energy of two probability measures naturally connected with the polynomials. The particular case of Gegenbauer polynomials is analyzed in detail. These results are applied also to the computation of the entropy of spherical harmonics, important for the study of the entropic uncertainty relations as well as the spatial complexity of physical systems in central potentials

Quantum information entropies of the eigenstates and the coherent state of the P\"oschl-Teller potential

The position and momentum space information entropies, of the ground state of the P\"oschl-Teller potential, are exactly evaluated and are found to satisfy the bound, obtained by Beckner, Bialynicki-Birula and Mycielski. These entropies for the first excited state, for different strengths of the potential well, are then numerically obtained. Interesting features of the entropy densities, owing their origin to the excited nature of the wave functions, are graphically demonstrated. We then compute the position space entropies of the coherent state of the P\"oschl-Teller potential, which is known to show revival and fractional revival. Time evolution of the coherent state reveals many interesting patterns in the space-time flow of information entropy.Comment: Revtex4, 11 pages, 11 eps figures and a tabl

SCIENTIFIC-PRACTICAL BASIS OF PREPARATION EKOFILTRUM IN BROILER PRODUCTION

The article describes effectiveness of "Ekofiltrum" when included in the diet of broiler cross "Ross-308". The authors studied effect of additives on the zootechnical performance of poultry, morphological and biochemical parameters of blood, as well as meat quality of broiler chickens

Configuration Complexities of Hydrogenic Atoms

The Fisher-Shannon and Cramer-Rao information measures, and the LMC-like or shape complexity (i.e., the disequilibrium times the Shannon entropic power) of hydrogenic stationary states are investigated in both position and momentum spaces. First, it is shown that not only the Fisher information and the variance (then, the Cramer-Rao measure) but also the disequilibrium associated to the quantum-mechanical probability density can be explicitly expressed in terms of the three quantum numbers (n, l, m) of the corresponding state. Second, the three composite measures mentioned above are analytically, numerically and physically discussed for both ground and excited states. It is observed, in particular, that these configuration complexities do not depend on the nuclear charge Z. Moreover, the Fisher-Shannon measure is shown to quadratically depend on the principal quantum number n. Finally, sharp upper bounds to the Fisher-Shannon measure and the shape complexity of a general hydrogenic orbital are given in terms of the quantum numbers.Comment: 22 pages, 7 figures, accepted i

Ислам и политическое развитие Синьцзяна во второй половине 1940-х годов

The article considers the national movement of the local indigenous people in Xinjiang in the second half of the 1940s and the influence of Islam on this process. The nationalimovement that involved uprisings was due to a number of complex socio-economic and political factors. In this article, the author reflects on the influence of Islam and Islamic clergy on the political processes of the region. Religion has traditionally played an important role in the lives of the indigenous peoples of the Northweof China. Sunni Islam influences the tradition of social and domestic relations, interethnic interaction and it is the ideological basis of the national struggle for liberation. The article infers that essentially the EaTurkestan Republic in Xinjiang (1945-1949) was an Islamic state. However, in the face of opposition of the Kuomintang, the CommuniParty of China and the Soviet Union, an alternative national and religious scenario in was never to be implemented.В статье рассматривается национальное движение коренных народов Синьцзяна во второй половине 1940-х годов и влияние ислама на данный процесс. Национальное движение в регионе, сопровождавшееся восстаниями, было обусловлено комплексом социально-экономических и политических факторов. В данной работе внимание автора сконцентрировано на влиянии ислама и исламского духовенства на политические процессы в регионе. Суннитский ислам оказывал влияние на традиции, социально-бытовые отношения, межэтническое взаимодействие различных народов и являлся идеологической базой национально-освободительной борьбы. В статье делается вывод о том, что по своему характеру Восточно-Туркестанская Республика, существовавшая в Синьцзяне в 1945–1949 гг., была исламским государством. Но в условиях противодействия со стороны гоминьдановского Китая, Коммунистической партии Китая и СССР, альтернатива национального и религиозного развития региона не была реализована

CHINA NATIONAL POLICY IN THE LATE 1950'S TO THE LATE 1970'S

This article discusses the key features of the national policy of the Chinese government in respect of nonHan peoples. The relevance of this work is due to important national issue for China. Traditionally, China has evolved as a multinational state, which was caused solely as a factor of external influence, for example, the Mongol and Manchu invasion and implementation of foreign policy objectives aimed at expanding the boundaries, resulting in a connection of Xinjiang and Tibet. A key feature of China as a multiethnic state has always been a numerical predominance of one ethnic group - the Han, as a rule, makes up almost all periods of the history of China, about 90% of the population. At the same time, China has always been inhabited by many ethnic minorities, which are not only occasionally something borrowed from Han people, but also constantly subjected Sinification. Sinification it was and remains one of the leading destinations for small nations. With the formation of the PRC in 1949, before the new communist government faced the problem of alignment of the national policy with regard to national minorities. The national policy of the Communist Party of China in its development has passed through three stages. In this article is considered the second period of this policy since the late 1950‟s. When starting to implement policies "Great Leap Forward" and the end of 1970‟s., as a result of the reforms of Deng Xiaoping began to change and the situation of small nations. To date, the Chinese government's policy towards national minorities in general, aims to accelerate the socio-economic and cultural development of ethnic groups on the tightening of national areas to the level of the developed regions of China, which should consolidate the Chinese citizens and prevent separatist actions. Ethnic identity of small nations overshadowed and leveled