Wang algebra was initiated by Ki-Tung Wang as a short-cut method for the analysis of electrical networks. It was later popularized by Duffin and has since found numerous applications in electrical engineering and graph theory. This is a semi-tutorial paper on Wang algebra, its history, and modern applications. We expand Duffin’s historic notes on Wang algebra to give a full account of Ki-Tung Wang’s life. A short proof of Wang algebra using group theory is presented. We exemplify the usefulness of Wang algebra in the design of T-coils. Bridged T-coils give a significant advantage in bandwidth, and were widely adopted in Tektronix oscilloscopes, but design details were guarded as a trade secret. The derivation presented in this paper, based on Wang algebra, is more general and simpler than those reported in literature. This novel derivation has not been shared with the public before.

中文翻译：

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王代数：从理论到实践

Wang 代数是由 Ki-Tung Wang 发起的，作为一种用于分析电网的捷径。它后来被 Duffin 推广，并在电气工程和图论中找到了许多应用。这是一篇关于王代数、它的历史和现代应用的半教程论文。我们扩展达芬关于王代数的历史笔记，以全面介绍王基东的生平。给出了使用群论对王代数的简短证明。我们举例说明了 Wang 代数在 T 型线圈设计中的有用性。桥接 T 型线圈在带宽方面具有显着优势，并在泰克示波器中被广泛采用，但设计细节作为商业机密被保密。本文提出的推导基于 Wang 代数，比文献中报道的推导更通用、更简单。