The vector notation adopted by GNU Octave plays a significant role as a tool for introspection, aligning itself with the vision of Kenneth E. Iverson. He believed that, just like mathematics, a programming language should be an effective thinking tool for representing and reasoning about problems we wish to address. This work aims to explore the use of vector notation in GNU Octave through the analysis of operators and functions, providing a closer alignment with mathematical notation and enhancing code efficiency. We will delve into fundamental concepts such as indexing, broadcasting, and function handles, and present case studies for a deeper understanding of these concepts. By adopting vector notation, GNU Octave becomes a powerful tool for mathematicians, scientists and engineers, enabling them to express and solve complex problems more effectively and intuitively.

翻译：GNU Octave 采用的向量表示法作为一种内省工具发挥着重要作用，这与 Kenneth E. Iverson 的愿景相契合。他认为，正如数学一样，编程语言应当成为表达和推理待解决问题的有效思维工具。本研究旨在通过分析运算符与函数，探讨 GNU Octave 中向量表示法的运用，使其更贴近数学记法并提升代码效率。我们将深入探讨索引、广播和函数句柄等基本概念，并通过案例研究深化对这些概念的理解。采用向量表示法后，GNU Octave 成为数学家、科学家和工程师的强大工具，使他们能够更高效、更直观地表达和解决复杂问题。