INFLUENCE OF OBJECT TECHNOLOGICAL PHANTOM’S TRANSFORMATIONS OF THE PRODUCTION’S QUALITY

The article states that the relevance of modeling processes, followed by analysis of the features of the transformation of the technological phantom of the real object, in particular precision instrumentation products, which affects the accuracy of shaping the formation of this object in automated production. The main purpose of this study was to substantiate analytical models of transformations of the technological phantom of the object, taking into account the type of coordinate systems, which can be observed transformation of some coordinates into others. These features of the transformations significantly affect the accuracy of the formation of this object. The main analytical models that determine the features of the formation of the technological phantom and the need to combine the technological phantom with the mass of the object, which provides opportunities to take into account the problems of manufacturing surface elements, determine the features of shaping the accuracy of reproduction of objects From the analytical models obtained in our work, we have the opportunity to say that for any object the technological phantom has a geometric construction, and the shape of this construction is the main factor influencing the accuracy of object formation. The research substantiates the analytical model of transformations of the technological phantom of the object, which determines the dependence of the geometric characteristics of the formation of the precision object, which is made using certain additive or destructive (with decreasing mass of the real object) technological processes. In further research, the model of shaping technological objects in space requires modeling of the peculiarities of mass representation in view of the energy connections of the technological phantom of the object in a certain volume, which has the task of determining and improving manufacturing accuracy.

Modeling processes that provide an avalanche of innovation growth

This paper proposes an addition to Kondratyev’s theory of the emergence of innovations in long cycles. Regularities of the emergence of crisis phenomena and the concept of “avalanche-like growth of innovations” are considered. The study investigated the innovation peaks occurring in the middle of the depression phase, followed by the growth stages of economic activity after a certain period of time. Research has shown that the active emergence of innovations, which we have called the “snowballing growth of innovations,” falls in the middle of the depression phase. The authors investigated and supplemented the theory of the triggering effect of depression, which is similar to the action of the trigger, which results in an “avalanche-like growth of innovations”. To describe the processes associated with resonance and trigger effects, the authors propose to use the parametric resonance model and the Mathieu equation. With the help of mathematical modeling of innovation processes, a more accurate description of the periodic change in the number of innovations over time is possible, namely, the “avalanche-like growth of innovations”.

PARAMETRIZATION OF THE HEAT AND MASS EXCHANGE PROCESS IN THE SURFACE ATMOSPHERIC LAYER

When constructing numerical models of the atmosphere and the surface atmospheric layer (PAS) interacting with it, the “parametrization” approach is used, that is, the representation of processes with scales smaller than the scale of the cells of the computational grid intended for modeling processes of larger scales.

SYNTHESIS OF EFFECTIVE IDEAS OF INNOVATIVE PROJECTS DURING THE DEVELOPMENT OF THE EIGHTH TECHNOLOGICAL ORDER

The subject of the article is the synthesis of ideas of innovative projects during the formation of the eighth technological order; the object of the article is innovative activity during the eighth technological order; the purpose of the work is to increase the efficiency of the synthesis of innovative ideas during the transition to the eighth technological order; to achieve this goal, the following tasks are solved: research and clarification of the concept and essence of innovative ideas; analysis of factors and methods of synthesis of innovative ideas in the process of development of a new technological order; formation of methods for the analysis of innovative ideas; description of modeling processes and business planning of projects for the implementation of these ideas; scientific methods in the article are: synthesis theory; theory of technological order, modeling theory, expert assessments, heuristic synthesis, structural and logical analysis of projects; scientific novelty of the article is associated with the development of methods for the synthesis and analysis of the effectiveness of innovative project ideas in the conditions of the formation of the eighth technological order.

APPLICATION OF NEURAL NETWORK AUTO ENCODERS OF UNET TYPE FOR INVERSE PHOTOLITOGRAPHY TASKS

The paper discusses the issue of the applicability of neural networks to the problems of designing microelectronics. The integration of neural network modules into the elements of specialized EDA systems can significantly speed up the modeling processes at different stages of design. The application of a multilayer convolutional architecture of a neural network of the UNET type to the problem of direct and inverse computational photolithography is considered. Using this neural network approach, we were able to speed up the computation of a photo mask for a 90nm process technology by two orders of magnitude and achieve simulation accuracy that surpasses standard inverse photolithography (ILT) methods.

Investment planning of innovative activity

The purpose of the study in this case is to develop methods for modeling processes aimed at ensuring investment planning of innovative activities of the enterprise. The methodological basis of the research is the adaptation of technological networks to the methods of financial and resource planning. In parallel, the corresponding mathematical apparatus was developed. It became clear that the activities of the company's department dealing with innovation management have to base on the principles of project management. The research based on the analysis of the process aimed at creating or acquiring an innovation at an enterprise in the context of the resources necessary for the successful implementation of such a process. The result determined and described a mathematical pattern describing the dependence of the probability that a technological operation will be performed successfully on the amount of investment (resources) allocated for this operation. Adjacency matrices became the most appropriate form of representation of models of innovative processes.

The authentic activities and mathematical modelling processes for preparatory school pupils

The aim of this study of the effect of authentic activities in teaching mathematics on mathematical modeling processesThe authentic activities were used by conducting the experiment, where work was with 45 pupils 13th years old of preparatory school (It’s the second stage of the educational stages in Egypt, and it’s the next stage after Primary school) in Al Qalyubia (One of the cities in Egypt) in the 2020/2021 academic year and studying this effect. The results showed, that value of the impact size through the value of h2 was calculated 0.79, and this meant the strong effect of the authentic activities on the development of mathematical modeling processes, where authentic activities lead to the development of mathematical modeling processes among the pupils because Authentic Activities provides pupils with the opportunity to study real-life problems, analyze them from various aspects and provide a correct picture of the problem that contributes to the increase of students' awareness of what they are learning.

MODELISASI KOTAK TISU DENGAN PENGGABUNGAN KURVA BEZIER, KURVA HERMIT DAN HASIL DEFORMASI BENDA GEOMETRI

The tissue box is a place to store tissues to make them look neat and protect the tissues from dirt and dust. Tissue boxes are often used in households, restaurants and also as room decorations. Therefore, the shapes of tissue boxes that are being developed are increasingly varied according to consumer interests. The tissue box consists of three main parts, namely the cover, body and base of the box. This research was carried out by developing variations in the shape of the tissue box components using the Bezier curve, the Hermit curve and the results of the deformation of geometric objects. The deformation techniques used are rotation, dilation, and curve interpolation. Tissue box modeling processes are divided into four stages. The first, modeling the tissue box by dividing into three models, namely model A, model B and model C. The second, determining the size of the tissue box components based on the model. The third, modeling tissue box components. Finally, visualizing the results of the tissue box model by combining the components so that a variety of tissue box models are produced.