Verbal compression as the implementation of universal tendency of compensative processes in the lingual world

The objective of the research is to describe mental and verbal primary and secondary (modern) compressive transformations. Main research methods are represented by the descriptive and structural ones making it possible to demonstrate characteristic aspects of univerb- and composite-formation (including abbreviation) as the processes corresponding to the essence of verbal compression. A tendency to compensative processes in speech and language is represented by the formations capable of complete substituting of the analytical primary names of objects, signs, and actions of the reality. In other words, a compensative process implies, apart from its main task, – balancing of the number of verbal units, – contraction of sounding duration and writing form of those units, i.e., substitution of analytical, multicomponent, nominative formations for the synthetic, monocomponent ones; that means saving time and space as the means of information conveyance. That tendency originates in the Common Slavic period. Univerbs and abbreviations, including telescopisms, are real forms of nominative units of analytical representation (word combinations) and potential alternative forms of synthetic (verbal) nominative units as the same time.

Modelling technique of the opening's bevel in underwater shipbuilding hulls objects for welding flanges Part 3 Applying 3d-modeling to opening's bevel in spherical sections of hulls

В 3й части статьи рассмотрена методика моделирования разделок в геометрическом и аналитическом представлении. Базой методики является геометрическое моделирование, которое естественным образом позволяет идентифицировать поверхность разделки. По результатам идентификации формируется математическая модель в унифицированном виде. На завершающем этапе выполняется параметризация полученной модели. В качестве примера определено отверстие в сферическом участке корпуса в геометрическом виде и параметрическом уравнении в однородных координатах. Также в статье рассмотрен пример по определению изначального типа обрабатываемой поверхности в контексте предлагаемой методики. Благодаря модульной структуре методики процесс проектирования технологического комплекса можно начинать с любого его компонента и последовательно понижая неопределенность двигаться к законченному проектному решению. Исходными данными для формирования математической модели проектируемого технологического комплекса являются вид и параметры обрабатываемых поверхностей разделки кромок корпусов объектов подводного кораблестроения. The 3rd part of the article discusses the method of modeling cuts in geometric and analytical representation. The basis of the technique is geometric modeling. Which naturally identifies the cutting surface. Based on the identification results, a mathematical model is formed in a unified form. The final step is to parameterize the resulting model. Also the article discusses an example for determining the initial type of surface to be treated in the context of the proposed technique. Thanks to the modular structure of the methodology, the process of designing a technological complex can begin with any of its components and consistently reduce uncertainty and move to a complete design solution. Initial data for forming mathematical model of designed technological complex are view and parameters of processed surfaces of opening's bevels of hulls of underwater shipbuilding objects.

Analytical representation for amplitudes and differential cross section of pp elastic scattering at 13 TeV

With analytical representation for the pp scattering amplitudes introduced and tested at lower energies, a description of high precision is given of the $$d\sigma /dt$$ d σ / d t data at $$\sqrt{s}= 13$$ s = 13 TeV for all values of the momentum transfer, with explicit identification of the real and imaginary parts. In both t and b coordinates the amplitudes have terms identified as of non-perturbative and perturbative nature, with distinction of their influences in forward and large |t| ranges and in central and peripheral regions respectively. In the forward range, the role of the Coulomb-nuclear interference phase is investigated. The energy dependence of the parameters of the amplitudes are reviewed and updated, revealing a possible emergence of a peculiar behavior of elastic and inelastic profiles in b-space for central collisions, which seems to be enhanced quickly at higher energies. Some other models are also briefly discussed in comparison, including the above mentioned behavior in b-space.

On a study of Sobolev type fractional functional evolution equations

Sobolev type fractional functional evolution equations have many applications in the modeling of many physical processes. Therefore, we investigate fractional-order time-delay evolution equation of Sobolev type with multi-orders in a Banach space and introduce an analytical representation of a mild solution via a new delayed Mittag-Leffler type function which is generated by linear bounded operators. Furthermore, we derive an exact analytical representation of solutions for multi-dimensional fractional functional dynamical systems with nonpermutable and permutable matrices. We also study stability analysis of the given time-delay system in Ulam-Hyers sense with the help of Laplace transform.

Analytical representation of hydrophone complex frequency response

The problem of analytical representation of hydrophone complex frequency response based on a model consisting of an advance line and a minimum-phase part, which describing the effect of sound diffraction and resonance properties of an active element, is considered. Algorithms are proposed for approximating the hydrophone complex frequency response by a fractional-rational function of the complex variable according to the data of the hydrophone amplitude-frequency and/or phasefrequency responses. Examples of the application of these algorithms for processing experimental frequency characteristics of hydrophones are given.