THE INFLUENCE OF UKRAINIAN FILM POSTERS OF THE 1920s AND 1930s ON CONTEMPORARY GRAPHIC DESIGN

The purpose of the article is to analyse the influence of the system of compositional techniques and graphics of the All-Ukrainian Photo Cinema Administration Film Poster School and Ukrainafilm on domestic graphic design. Research methodology. The author has applied historical, art history, and comparative analysis. Scientific novelty. Through the similarity matching in the world and Ukrainian design and the study of the use of design schemes, techniques and tools that are permanently used in graphic design, we reason the influence of the Ukrainian Poster School of the 1920s and 1930s on contemporary graphic design practice. Conclusions. Despite a long break for ideological grounds in the functioning and study of Ukrainian graphic design in the middle of the twentieth century, we record a noticeable influence of the means and techniques of Ukrainian poster art on modern trends. These are general compositional techniques: placing a formatted face or figure as a dominant on the entire plane of the image, designing a composition on the principle of a “playing card”, deliberately replacing grounds on the inverted perspective. There are local techniques: concentric circles as a compositional dominant, filling the main character’s glasses with visual elements or font content, and rhythmically repeating visual elements or font groups. The identified similarities can be valuable in the young designers training, taking into account the general development of Ukrainian graphics’ history and its single branch graphic design. It is also possible to use these schemes, techniques and tools in contemporary design education as a methodological basis for teaching poster design, designing, composition, layout and modelling.

ПРИНТИ У СТИЛІ ПОП-АРТ ЯК ТВОРЧЕ ДЖЕРЕЛО ДЛЯ ПРОЕКТУВАННЯ СУЧАСНИХ КОЛЕКЦІЙ ОДЯГУ

The purpose of the work is to determine the main art and compositional solutions of pop art prints of prints for further design of author's prints and the development of creative collections of modern women's clothing. To achieve this goal, special features, art and figurative features of pop art style prints were structured, a visual analytical and comparative analytical analysis of the collections of women's and men's clothing in the style of pop art for the spring-summer 2019 and 2020 seasons was carried out. Highlighted the characteristic compositional solutions of modern prints in the style of pop art in clothing (lettering; drawings of murals; comics, collages and subject images; lines and color combinations) are highlighted, a comparative analysis of the use of stylistic features of pop art in men's and women's clothing collections of spring summer 2019-2020 seasons. Recommendations for the development of prints for promising collections of women's clothing for the spring-summer 2020 season suggest the use of small images, not on the entire plane of the product, the repetition of individual image elements, it is recommended to use subject image of consumer goods, food, comics or lettering. The scientific novelty lies in the study and systematization of compositional and visual solutions of prints in the style of pop art in the collections of modern fashion designers. Based on the definition of fashion trends and the main art and figurative features of prints in the pop art style, author's prints and a collection of women's clothing have been developed.

METALS HEAT TREATMENT MODEL

This paper considers the problem of developing a model of thermal metal processing by multiprocessor computing systems. The obtained metal is used for high-strength fasteners manufactured by cold forging method without final heat treatment. The model is based on the heat treatment method of a billet from low- and medium-carbon steels intended for cold heading. The model aims at improving technological properties of a billet by ensuring high dispersion and uniformity of a billet structure across the entire plane of its cross-section.Implementation of the proposed model ensures the technical result of high dispersion and uniformity of the structure of the billet. The technological process of steel heat treatment is characterized by high performance, low power consumption, and improved performance characteristics. The apparatus for implementation of the spheroidization annealing regime determines the uniform distribution of cementite globules in the ferrite matrix, which means that it provides the necessary mechanical properties of the metal for its further cold deformation. The multiprocessor computing system software allows controlling the temperature conditions, both on the entire plane of the billet section, and across its length. Such temperature conditions are controlled in the center of the plane of the billet cross-section.Experimental studies of the heat treatment of metal products were conducted. In order to test the functions of the proposed model, several experiments were performed when a 20 mm diameter wire from 20G2G steel was subjected to heat treatment. Experimental studies have shown that metal has the necessary elasticity properties, saving the required hardness.

Degenerate boundary conditions on a geometric graph

The boundary conditions of the Sturm-Liouville problem defined on a star-shaped geometric graph of three edges are studied. It is shown that if the lengths of the edges are different, then the Sturm-Liouville problem does not have degenerate boundary conditions. If the lengths of the edges and the potentials are the same, then the characteristic determinant of the Sturm-Liouville problem can not be equal to a constant different from zero. But the set of Sturm-Liouville problems for which the characteristic determinant is identically equal to zero is an infinite (continuum). In this way, in contrast to the Sturm-Liouville problem defined on an interval, the set of boundary-value problems on a star-shaped graph whose spectrum completely fills the entire plane is much richer. In the particular case when the minor A124 for matrix of coefficients is nonzero, it does not consist of two problems, as in the case of the Sturm-Liouville problem given on an interval, but of 18 classes, each containing two to four arbitrary constants.

Neighborhood Growth Dynamics on the Hamming Plane

We initiate the study of general neighborhood growth dynamics on two-dimensional Hamming graphs. The decision to add a point is made by counting the currently occupied points on the horizontal and the vertical line through it, and checking whether the pair of counts lies outside a fixed Young diagram. We focus on two related extremal quantities. The first is the size of the smallest set that eventually occupies the entire plane. The second is the minimum of an energy-entropy functional that comes from the scaling of the probability of eventual full occupation versus the density of the initial product measure within a rectangle. We demonstrate the existence of this scaling and study these quantities for large Young diagrams.

Three Interactions of Holes in Two Dimensional Dimer Systems

Consider the unit triangular lattice in the plane with origin $O$, drawn so that one of the sets of lattice lines is vertical. Let $l$ and $l'$ denote respectively the vertical and horizontal lines that intersect $O$. Suppose the plane contains a pair of triangular holes of side length two, distributed symmetrically with respect to $l$ and $l'$ and oriented so that both holes point toward the origin. In the following article rhombus tilings of three different regions of the plane are considered, namely: tilings of the entire plane; tilings of the half plane that lies to the left of $l$ (where $l$ is considered a free boundary, so unit rhombi are allowed to protrude halfway across it); and tilings of the half plane that lies just below the fixed boundary $l'$. Asymptotic expressions for the interactions of the triangular holes in these three different regions are obtained thus providing further evidence for Ciucu's ongoing program that seeks to draw parallels between gaps in dimer systems on the hexagonal lattice and certain electrostatic phenomena.

A POLYNOMIAL-TIME ALGORITHM FOR COMPUTING THE RESILIENCE OF ARRANGEMENTS OF RAY SENSORS

Given an arrangement A of n sensors and two points s and t in the plane, the barrier resilience of A with respect to s and t is the minimum number of sensors whose removal permits a path from s to t such that the path does not intersect the coverage region of any sensor in A. When the surveillance domain is the entire plane and sensor coverage regions are unit line segments, even with restricted orientations, the problem of determining the barrier resilience is known to be NP-hard. On the other hand, if sensor coverage regions are arbitrary lines, the problem has a trivial linear time solution. In this paper, we study the case where each sensor coverage region is an arbitrary ray, and give an O(n2m) time algorithm for computing the barrier resilience when there are m ⩾ 1 sensor intersections.

Green's functions for the wave, Helmholtz and Poisson equations in a two-dimensional boundless domain

In this work, Green's functions for the two-dimensional wave, Helmholtz and Poisson equations are calculated in the entire plane domain by means of the two-dimensional Fourier transform. New procedures are provided for the evaluation of the improper double integrals related to the inverse Fourier transforms that furnish these Green's functions. The integrals are calculated by using contour integration in the complex plane. The method consists basically in applying the correct prescription for circumventing the real poles of the integrand as well as in using well-known integral representations of some Bessel functions.

NUMERICAL INVESTIGATIONS OF PSEUDO-SHOCK WAVES IN VARIABLE CROSS-SECTION DUCTS

The Pseudo-Shock Wave (PSW), which appears when supersonic flow in duct decelerates to subsonic, is a complicated process due to the interaction between boundary layer and shock wave. It significantly affects the performance and efficiency of flow devices. In this paper, PSW in two kinds of variable cross-section ducts, edge-varied and corner-varied, was investigated through CFD numerical simulation. Compared to the rectangular duct, a shorter and wider separation region is appeared in the corner of the edge-varied duct while the strongest separation is laterally propagated across the entire plane of the corner-varied duct's side wall. This makes the performances of varied ducts different from traditional constant cross-section ducts.

Assessing Position Order in Rigid Body Guidance: An Intuitive Approach to Fixed Pivot Selection

Several established methods determine if an RR dyad will pass through a set of finitely separated positions in order. The new method presented herein utilizes only the displacement poles in the fixed frame to assess whether a selected fixed pivot location will yield an ordered dyad solution. A line passing through the selected fixed pivot is rotated one-half revolution about the fixed pivot, in a manner similar to a propeller with infinitely long blades, to sweep the entire plane. Order is established by tracking the sequence of displacement poles intersected. With four or five positions, fixed pivot locations corresponding to dyads having any specified order are readily found. Five-position problems can be directly evaluated to determine if any ordered solutions exist. Additionally, degenerate four-position cases for which the set of fixed pivots corresponding to ordered dyads that collapse to a single point on the center point curve can be identified.