Indigenous mathematical transforms

一些土著居民和托雷斯海峡岛民进行了一类数学变换，或相关空间或物体之间的系统转换。这种从地面到夜空的转换被用于长距离路线记录和寻路技术。本项目旨在阐明这些变换，并利用这些知识来扩展傅里叶分析的数学框架和应用。在这个令人兴奋的本土/非本土知识的界面上，出现新的数学的巨大潜力。预期的结果是为土著学生提供跨学科研究培训，并对土著科学有新的理解。全息术等新兴大数据技术可能会从中受益。

A class of mathematical transforms, or systematic conversions between related spaces or objects, was practised by some Aboriginal and Torres Strait Islander groups. Such transforms from ground to night sky were used in long-distance route-recording and wayfinding techniques. This project aims to elucidate these transforms, and to use this knowledge to extend the mathematical framework and applications of Fourier analysis. There is significant potential for new mathematics to emerge at this exciting interface of Indigenous/non-Indigenous knowledge. Expected outcomes are interdisciplinary research training for Indigenous students and new understanding of Indigenous sciences. Emerging big data technologies such as holography may benefit.