A spectrum associated with Minkowski diagonal continued fraction

We prove a result on the structure of a Diophantine spectrum associated with Minkowski diagonal continued fraction

On the sequence αn!

We prove that there exists α ∈ R such that for any N the dicrepancy DN of the sequence 1αn!l, 1 ⩽ n ⩽ N satisfies DN = O(log N)

EFFECT OF THE APPLICATION OF MICROWAVE ENERGY ON THE REGENERATION OF THE ADSORBENT

Today, energy conservation is a priority. This is due to the shortage of energy resources, the growth of their cost and global environmental problems. The production of compressed air is a wery costly and power-consuming process. One of the areas of energy saving is to improve the quality of the air preparation equipment, in particular, to increase the energy efficiency of this type of devices such as adsorption dryers for compressed air. Reduction of unnecessary energy losses in this sphere is possible due to the use of innovative technologies. The functioning of the adsorption dryer is associated with the consumption of compressed air, which is consumed during the periodic regeneration of the adsorbent. The practical value of the research includes an explanation of the regularity of the influence of the temperature drop, at which the adsorbent regeneration process takes place, on the reduction of the airflow loss during the proceedings of the dryer

Body with mirror surface and connected interior invisible from one point

Here we demonstrate existence of a piecewise smooth obstacle having connected interior and invisible from a point in the framework of geometric optics

High frequency limit of the Transport Cross Section and boundedness of the Total Cross Section in scattering by an obstacle with impedance boundary conditions

The scalar scattering of the plane wave by a strictly convex obstacle with impedance boundary conditions is considered. The uniform boundedness of the Total Cross Section for all values of frequencies is proved. The high frequency limit of the Transport Cross Section is founded and presented as a classical functional of the variational theory

Реалізація комплексної моделі відцентрового насоса на базі його макромоделі

This article is containing the mathematic models hierarchy for pump design based on modern automatic design analyze. Automatic pump design stages were discussed. Author although gave recommendations for choosing model level for pump working process calculation inuestigation.У роботі на основі аналізу сучасного досвіду автоматизованого проектування в різних галузях виробництва розроблена ієрархія математичних моделей для проектування насосного устаткування. Розглянуто етапи проектування цих об`єктів і дані рекомендації з вибору рівня моделювання на кожному етапі автоматизованого проектування гідродинамічних насосів. Запропоновано використовувати макромодель, побудовану на основі орієнтованого графа, гілки якого складаються з наборів математичних моделей типових елементів насоса. При цитуванні документа, використовуйте посилання http://essuir.sumdu.edu.ua/handle/123456789/168