How to efficiently parse multi-layer nested brackets in LaTeX formulas and convert them into multi-dimensional dictionary?

Python parsing LaTeX multi-layer brackets: building multi-dimensional dictionary

Many LaTeX formulas contain multi-layer nested brackets, and how to efficiently parse these brackets with a program and convert them into easy-to-operate data structures, such as Python dictionaries, is a common problem. This article will explain in detail how to use Python to process hierarchical braces in LaTeX formulas and convert them into multidimensional dictionaries.

Two examples of LaTeX formulas are given in the problem description: \int{\frac{{d}x}{\sqrt{x}}} and \int x^{2}{\sqrt[3]{x}}{d}x. These formulas contain brackets at different levels, such as fraction lines and root formulas that implicitly contain bracket structures. The goal is to parse these hierarchies with Python programs and represent them as multidimensional dictionaries.

It is difficult to deal with this problem with recursive nested structures directly using regular expressions, because regular expressions themselves are not good at dealing with recursion. While regular expressions can match simple pairs of brackets, the matching logic of regular expressions can become very complex and difficult to maintain for multi-layer nested brackets. A more efficient solution is to use a dedicated LaTeX parsing library that understands the syntax structure of LaTeX and correctly parse multi-layer nested brackets.

Although a possible related library is mentioned in the answer to the question, no specific code implementation is provided here, as this requires more in-depth library instructions and more complex code logic. Directly using regular expressions to deal with this problem is less efficient and maintainable. A more suitable solution is to find and learn to use Python libraries that parse LaTeX formulas, which usually provide more advanced APIs, which allow us to extract structural information in formulas and convert them into data structures such as Python dictionaries. This avoids complex regular expression writing and improves the readability and maintainability of the code. With these libraries, we can more easily handle complex structures in LaTeX formulas, such as multi-layer nested brackets, and convert them into multi-dimensional dictionaries that programs can easily handle.

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