mathematical model

Paper depicts that one of the main challenges in wireless networks WiMAX is the task of ensuring the required service quality, which involves the separation of user stations network of guaranteed rate in the downlink. Providing guaranteed transmission rate in the WiMAX technology can be achieved by solving bandwidth allocation downlink. Therefore, existing approaches to analyze the distribution of bandwidth downlink wireless WiMAX technology whereby determined that they use the principle of Best Effort.

It was established that one of the main problems in the wireless network that operates using LTE, is the task of ensuring the required quality of service, which includes the need for the user equipment network bandwidth required in the downlink. Providing the required bandwidth can be achieved by solving the problems of distribution of a time-frequency resource in a downlink, which acts as resource blocks.

The paper shows the mathematical model of economic development taking into account the complexity of the pits of their geometry is implemented using a computer program Windows – Form – Application 3 in engineering technique of choosing different excavation systems.

The article shows the importance of ensuring that the air of small-size rooms at private production facilities where equipment is arranged densely has specified parameters. Theoretical grounds of ventilation performance evaluation are considered. It is pointed out that a power saving air distributor ensuring a prompt cease of the airflow has not been developed yet. The advisability of air delivery to the room’s working area is stressed. The using of low-speed panel-section air distributors in a private production facility room is considered.

A criterion of adequate modeling of equal parameters of windings and their parts is the equal quantities of consumed active and reactive power by a physical original and its mathematical model. A necessity of alternate measurements of parameters during a physical experiment has been proved so now it allows declining measurements errors. A model of a voltage transformer “NOM-10” (Single-phase Oil Transformer-10) has been synthesized for the first time.

A mathematical model for asynchronous motor taking into account rotor teeth skew has been developed. The model is based on magnetic field computation allowing for core saturation and magnetomotive forces spatial harmonics, differential equations algebrization with the g-th order backward differentiation formula and nonlinear algebraic equations system solving with Newton’s method.

The article present the empirical mathematical model of receiving oxidized oil bitumen modified by polymeric petroleum resin with fluorine-containing functional groups. The given model allows to predict oxidized oil bitumen performance (penetration, ductility, softening temperature) without any additional experiment while changing certain process managing factors. Запропонована емпірична математична модель одержання окиснених нафтових бітумів модифікованих нафтополімерною смолою з флуорвмісними функціональними групами (НПСФ).

This paper is devoted to the method of extraction unit calculation of periodical action for direct flow and return flow of extraction processes based on an analysis of the kinetics of extraction of components of the porous structures of minerals and seeds plant material under a constant driving force. Запропонована методика розрахунку прямотечійного та протитечійного екстракторів безперервної дії на основі аналізу кінетики екстрагування цільових компонентів з пористих структур мінеральної сировини та насіння рослинної сировини в умовах постійної рушійної сили. 

Досліджено вплив довжини світлової хвилі на швидкість поглинання вуглекис-
лого газу мікроводоростями. Описано механізм транспорту вуглекислого газу із повітря
у внутрішнє середовище клітини мікроводорості. На основі математичної моделі
приросту мікроводоростей визначено коефіцієнт приросту. Отримано аналітичну залеж-
ність коефіцієнта приросту мікроводоростів від довжини світлової хвилі. Встановлено
оптимальні довжини світлових хвиль для проектування технологічних схем

The article studies the structural design scheme of hydro-impulse device for strain hardening parts with a built-in pressure pulse generator. Based on the structural scheme and the timeline duty cycle device, dynamic and mathematical models are developed. In these models a hydraulic section is represented by a visco-elastic fluid model (energy source), composed of instantaneous elastic and dissipative elements (Kelvin-Voigt material).