Some Geometric Properties of a Hyperbolic Univalent Function

In this paper, we analyze several aspects of a hyperbolic univalent function related to convexity properties, by assuming to be the univalent holomorphic function maps of the unit disk onto the hyperbolic convex region ( is an open connected subset of). This assumption leads to the coverage of some of the findings that are started by seeking a convex univalent function distortion property to provide an approximation of the inequality and confirm the form of the lower bound for . A further result was reached by combining the distortion and growth properties for increasing inequality . From the last result, we wanted to demonstrate the effect of the unit disk image on the condition of convexity estimation by proving the two inequalities of , and .

DETERMINATION OF THE CHANGE OF THE DESIGN POSITION OF THE PROFILE OF THE BELT CONVEYOR ON THE LOAD OF THE ROLLER BEARINGS

The article attempts to establish the basic patterns in the formation of loads in the structure of the conveyor frame due to changes in the design position of the constituent elements based on analytical calculations. The amortization replacement of rollers and the establishment of a change in the projected resource caused the change in the design position.The aim of the work is to study the interaction of the elements of the belt conveyor on the convex region of the profile when the design position changes and to determine the change in the resource of the roller support elements. The purpose of the work is formulated from the analysis of unplanned stops and premature replacement of conveyor elements, in particular conveyor rollers, on the convex region of the profile.To achieve this goal the influence of the geometric parameters of the convex section of the belt conveyor profile on the force interaction of the belt and roller supports was considered, and the change in the resource of the roller bearings was determined.To characterize the geometric parameters of the convex section of the belt conveyor, the following were selected: the number of roller supports, the distance between the roller supports, the radius of curvature of the conveyor profile, the angle of the curved section. The mathematical model is based on the belt equilibrium equation, which contains the tension forces of the conveyor belt and the forces from the action of roller supports. Particular attention is paid to establishing the effect of changing the geometric parameters of the convex section on the roller bearing life. It has been established that a decrease in the radius of the transitional convex section as a result of a change in the initial design position by 2.4 times leads to an increase in the force acting on the roller support by 161%. It was found that the increase in force is the reason for the rapid exit from the operational state of the rolling bearings of the roller bearings, as evidenced by the intensive drop in the resource of the rollers (18 times).The proposed algorithm for determining the main parameters of the force interaction of the elements of the belt conveyor on the convex region of the profile will make it possible to predict the resource and prevent the conveyor from leaving the premature operational state.

Imaging Feature Analysis-Based Intelligent Laser Cleaning Using Metal Color Difference and Dynamic Weight Dispatch Corrosion Texture

To improve the laser cleaning efficiency of Q235 carbon steel, an imaging analysis-based intelligent technique is proposed. Both offline and online computations are designed. Regarding the offline procedure, first, the corrosion images are accumulated to compute the gray-level co-occurrence matrix (GLCM) and the concave-convex region features. Second, different laser cleanings are performed to obtain various cleaned images. Third, a new cleaning performance evaluation method is developed: a metal color difference feature and a dynamic weight dispatch (DWD) corrosion texture are computed. Finally, a particle swarm optimization (PSO)-support vector machine (SVM) is utilized to forecast the laser process parameters. The corresponding laser parameters include power, linear velocity, and line spacing. For the online computation, after the GLCM and the concave-convex region features are computed, an iterative computation is used to tune the process parameters: the random laser parameters are generated constantly, and the iteration is performed and terminated only if the PSO-SVM output is positive. The experimental results have shown that the cleaning efficiency of this method can be improved, and the qualified rate is 92.5%.

ÁP DỤNG CHIẾN LƯỢC CHỌN VÙNG VÀ THUẬT TOÁN NSGA2 CHO ÁNH XẠ CÁC ỨNG DỤNG CÓ THỂ ĐIỀU CHỈNH CHẤT LƯỢNG LÊN NỀN TẢNG TÁI CẤU HÌNH NoC

Các hệ thống trên chip cấu hình lại được dựa trên FPGA và mạng trên chip (NoC: Network on Chip) là một xu hướng mới nhằm cung cấp hiệu năng cao, khả năng linh hoạt, cắt giảm chi phí và thời gian đưa sản phẩm ra thị trường cho các hệ thống nhúng. Bài toán ánh xạ các ứng dụng có thể điều chỉnh mức chất lượng lên nền tảng NoC cấu hình lại được không đồng nhất tại thời gian chạy với ràng buộc tài nguyên mà vẫn đảm bảo chất lượng dịch vụ tổng thể tối đa cho các ứng dụng là một thử thách lớn. Trong bài báo này, chúng tôi sử dụng một cách tiếp cận mới để giải quyết bài toán ánh xạ các ứng dụng có thể điều chỉnh mức chất lên nền tảng NoC có khả năng cấu hình lại được với ràng buộc tài nguyên mà vẫn đảm bảo chất lượng dịch vụ tổng thể tối đa cho các ứng dụng, đó là sự kết hợp giữa chiến lược chọn vùng gần lồi (near convex region) và thuật toán tiến hóa đa mục tiêu NSGA2. Kết quả mô phỏng chỉ ra rằng cách tiếp cận mới này cải thiện trung bình lên đến 36,11% chất lượng dịch vụ tổng thể so với một vài giải pháp đã tồn tại.