Non-central generalized q-factorial coefficients and q-Stirling numbers

AbstractThe qs-differences of the non-central generalized q-factorials of t of order n, scale parameter s and non-centrality parameter r, at t=0, are thoroughly examined. These numbers for s→0 and s→∞ converge to the non-central q-Stirling numbers of the first and the second kind, respectively. Explicit expressions, recurrence relations, generating functions and other properties of these q-numbers are derived. Further, a sequence of Bernoulli trials is considered in which the conditional probability of success at the nth trial, given that k successes occur before that trial, varies geometrically with n and k. Then, the probability functions of the number of successes in n trials and the number of trials until the occurrence of the kth success are deduced in terms of the qs-differences of the non-central generalized q-factorials of t of order n, scale parameter s and non-centrality parameter r

Morfološki i hematološki pokazatelji matičnog jata za obnovu jesetarskih riba gajenih u jesetarskim mrestilištima u Azerbejdžanu

In Azerbaijan the forming of recovery-maternal stock of sturgeon fish is carrying out since 2004 year and breeding of fish from the stage of larvae till the adult conditions is fulfilled by using of pool method. Meanwhile it is known that quality of a breeding material in many respects depends on conditions of their maintenance. The task of our researches included studying on the basis of mofophysiological and hematological parameters to the extent of forming of the major functional systems of uneven-aged species of recovery-maternal stock of sturgeon fish during their long growing in bondage. Persian sturgeon (Acipenser persicus) of ages 1 to 5 served as study objects in 2009. Directly after collecting blood from a tail vein content of hemoglobin and ESR (erythrocyte sedimentation rate) were defined, and also smear of blood samples were made by classical technique of Romanovsky-Gimza. Calculation of blood corpuscles was carried out in chamber of Goryayeva with staining blood cells by neutral read and crystal violet. 200 leukocyte cells were counted in each test. For differentiation of cells of the red blood 500 erythrocytes of different age groups of experimental fish were counted on smear. Index of leucocytes shift is determined according to commonly accepted methodology. As researches have shown, on the first to year of a life of young fish of the Persian sturgeon erythropoiesis is generated completely. It has been defined that mature erythrocytes (76,5 - 81,5 %) prevail in peripheral blood at all age groups of young fish of researched kind. Ratio of basophilic normoblasts has comprised 0,8-1,4%, and hemolyzed erythrocytes 0,4-1,6 %. The insignificant number of pathological forms of erythrocytes, in our opinion, testifies to natural dying off of cells of erythrocyte series. The structure of blood corpuscle of uneven-aged species of repair broodstock of the Persian sturgeon, grown up on industrial conditions, testifies that function of leukopoiesis is generated at them. Lymphoid nature of leukocytes was determined in researched fish of Persian sturgeon which was reared in the pool conditions of Sturgeon Fish Hatchery. The obtained information about the right (lymphoid) shift in leukogram of the blood of the uneven-aged young fish witnesses the normal developing leukopoiesis. Index of leucocytes shift has a direct dependence on the age of reared fish: yearlings – 0,54; two-year old – 0,40; three-year old – 0,38; four year old 0,37 and five-year old– 0,32. Making preliminary conclusions of hematological researches of the Persian sturgeon as the modeling object used for formation of recovery-maternal stock on Khilly Sturgeon Fish Hatchery, it is possible to draw following conclusions: - 1. In process of growth of young Persian sturgeon the number of erythrocytes on unit of volume of blood increases; 2. On the first year of a life of young fish of the Persian sturgeon the erythropoiesis is generated completely; 3. The number of leukocytes on unit of volume of blood of the Persian sturgeon has seasonal variability and has no direct dependence on age of fish; 4. The quantity of immune cells (lymphocytes) has direct dependence on age of fishes

Stochastic optimal control problem with delay

A stochastic optimal control problem with variable delay on phase and on control is considered. The maximum principle for a nonlinear stochastic control system with controlled diffussion coeffcient is proved

The Late Cretaceous dinosaur track record of Bolivia – Review and perspective

Abstract We present an update and a review of the Late Cretaceous dinosaur tracksites of Bolivia. The Puca Group (Coniacian – Late Maastrichtian) records the tracks and trackways of two different titanosaurid sauropods, ankylosaurs, hadrosaurs and different theropod groups from the Central Andean lacustrine back arc basin. We review the sites from the Maragua syncline (Chuquisaca) and present new data on the famous Toro Toro site (Potosi). Furthermore, the first complete map of the world's largest dinosaur tracksite, Cal Orck'o (El Molino Formation, Sucre) gives an insight into behavior and movement patterns. Parallel trackways of subadult ankylosaurs provide the first unequivocal evidence of social behavior amongst these dinosaurs worldwide. The El Molino Formation and the coeval deposits of Southern Peru and Northern Argentina form a megatracksite with a size of around 100,000 km2. The paleogeographic position of the main sites within the basin suggests that they are part of a seasonal migration route along the shoreline and deltas of an ancient lake system

Necessary condition for some singular stochastic control systems with variable delay

The purpose of this paper is to study conditions for the optimality of singular stochastic control systems with variable delay and constraint on the endpoint of state. The necessary condition of optimality for singular systems is obtained

PENGARUH JENIS BIOMASSA DAN KECEPATAN ALIRAN UDARA TERHADAP KINERJA KOMPOR GASIFIKASI BIOMASSA (THE INFLUENCE OF THE BIOMASS TYPE AND THE SPEED OF AIR FLOW ON THE PERFORMANCE OF BIOMASS GASIFICATION STOVE)

Sumber energi alternatif dari limbah pengolahan perhutanan dan pertanian memiliki potensi yang berlimpah, hal tersebut dapat mengurangi ketergantungan masyarakat terhadap bahan bakar fosil seperti minyak tanah dan gas bumi (LPG). Ketergantungan masyarakat terhadap bahan bakar fosil tersebut masih tinggi, sehingga menyebabkan ketersedian terbatas dan cenderung berkurang. Oleh karena itu, memerlukan penanganan dalam pemanfaatan sumber energi alternatif diantaranya sumber energi yang berasal dari biomassa. Salah satu teknologinya yaitu diaplikasikan pada kompor dengan teknik gasifikasi Top-Lit Updraft. Penelitian ini bertujuan untuk mengetahui kinerja kompor gasifikasi dari variasi jenis biomassa dan kecepatan aliran udara pada reaktor. Pengujian kompor gasifikasi biomassa dilakukan sesuai prosedur SNI Tungku Biomassa 7.926, tahun 2013. Setiap pengujian yang dilakukan menggunakan tiga variasi jenis biomassa, yaitu : wood pellet sekam padi, wood pellet kayu jati dan wood pellet kayu sengon. Metode pengujian menggunakan enam variasi kecepatan aliran udara primer, yaitu: 1,1 m/s; 2,5 m/s; 3,5 m/s; 4,5 m/s; 5 m/s dan 5,4 m/s. Hasil pengujian kompor gasifikasi biomassa yang dilakukan dengan bahan bakar wood pellet sekam padi memiliki total waktu operasi kompor tercepat dengan kecepatan aliran udara 5,4 m/s, massa bahan bakar 0,3 kg dengan waktu pengoperasian kompor selama 10,46 menit. Bahan bakar wood pellet sekam padi yang digunakan untuk mendidihkan air sebanyak satu liter membutuhkan waktu 5,56 menit, dengan temperatur reaktor (temperatur nyala api) sebesar 295,4 °C. Nilai efisiensi termal tertinggi pada bahan bakar wood pellet sekam padi sebesar 47,65 %. Kata kunci: kompor biomassa; T-LUD; wood pellet

On one stochastic optimal control problem with variable delay

The purpose of this paper is to give necessary conditions for the optimality of nonlinear stochastic control systems with variable delay and with constraint on the right end of a trajectory. The necessary optimality conditions in the form of a stochastic analogy of the maximum principle are obtained. These conditions are contained in Theorems 1 and 2

Non-bank financial institutions activity in the context of economic growth: cross-country comparisons

The article deals with the analysis of non-bank financial institutions activity on the financial market of Ukraine, their basic progress and co-operating trends with the real sector of economy. The degree of development of non-bank financial institutions is presented through the context of their influence on the economic growth of Ukraine, and is based on appropriate foreign experience. Moreover, it is presented a methodical approach of determining the integration of non-bank financial services market into the world financial space on the basis of analysis of the level of openness and development of the domestic economy as a whole and the market of non-bank financial services in comparison with other countries of the world. It is made a comparison of the Ukrainian non-bank financial services market general level with indicators of development of this sector in other countries of the world. Furthermore, it is determined the share of foreign capital in the domestic market of non-bank financial services of Ukraine that allows to determine the effectiveness of the changes that it brings to the domestic financial services market. Finally, it is compared volumes of mutual use of foreign capital in the activities of the Ukrainian non-bank financial services market and domestic capital in the activities of foreign non-bank financial institutions