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Fri, 27 Dec 2024 10:04:18 +0000

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$y^{\prime}(t)=a y(t)+b y(-t)$

Xing Li — Fri, 27 Dec 2024 10:57:13 +0000

This paper focuses on obtaining the exact solution of the functional differential equation: $y^{'} (t) = a y (t) + b y (- t)$ subject to the initial condition $y (0) = λ$ . The standard series approach is applied to obtain the solution in a power series form. The convergence issue is addressed. In addition, the exact solution is established in terms of elementary functions such as hyperbolic and trigonometric functions. The exact solutions of some special cases, at particular choices of a and b, are determined. The obtained results may be introduced for the first time regarding the solution of the current problem.

The Influence of Cultural Revolution Propaganda Art on Mobile Application Interface Design: the Application and Innovation of Traditional Colors

Zhou Jiang, Lingling Guo, Zhiqun Ren, Xiangting Jiao — Fri, 27 Dec 2024 10:57:13 +0000

This paper discusses the fusion of traditional color and design elements, focusing on the influence of propaganda art on mobile application interface design during the Cultural Revolution. Through the analysis of the propaganda paintings during the Cultural Revolution, the unique use of traditional colors in political propaganda and its visual effects are revealed, and the civilization and innovation of these traditional design elements in contemporary interface design are discussed.