Backend Development
PHP Tutorial
How to efficiently parse multi-layer nested brackets in LaTeX formulas and convert them into multi-dimensional dictionary?
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.
The above is the detailed content of How to efficiently parse multi-layer nested brackets in LaTeX formulas and convert them into multi-dimensional dictionary?. For more information, please follow other related articles on the PHP Chinese website!
Hot AI Tools
Undress AI Tool
Undress images for free
Undresser.AI Undress
AI-powered app for creating realistic nude photos
AI Clothes Remover
Online AI tool for removing clothes from photos.
Clothoff.io
AI clothes remover
Video Face Swap
Swap faces in any video effortlessly with our completely free AI face swap tool!
Hot Article
Hot Tools
Notepad++7.3.1
Easy-to-use and free code editor
SublimeText3 Chinese version
Chinese version, very easy to use
Zend Studio 13.0.1
Powerful PHP integrated development environment
Dreamweaver CS6
Visual web development tools
SublimeText3 Mac version
God-level code editing software (SublimeText3)
What are class methods in Python
Aug 21, 2025 am 04:12 AM
ClassmethodsinPythonareboundtotheclassandnottoinstances,allowingthemtobecalledwithoutcreatinganobject.1.Theyaredefinedusingthe@classmethoddecoratorandtakeclsasthefirstparameter,referringtotheclassitself.2.Theycanaccessclassvariablesandarecommonlyused
python asyncio queue example
Aug 21, 2025 am 02:13 AM
asyncio.Queue is a queue tool for secure communication between asynchronous tasks. 1. The producer adds data through awaitqueue.put(item), and the consumer uses awaitqueue.get() to obtain data; 2. For each item you process, you need to call queue.task_done() to wait for queue.join() to complete all tasks; 3. Use None as the end signal to notify the consumer to stop; 4. When multiple consumers, multiple end signals need to be sent or all tasks have been processed before canceling the task; 5. The queue supports setting maxsize limit capacity, put and get operations automatically suspend and do not block the event loop, and the program finally passes Canc
How to run a Python script and see the output in a separate panel in Sublime Text?
Aug 17, 2025 am 06:06 AM
ToseePythonoutputinaseparatepanelinSublimeText,usethebuilt-inbuildsystembysavingyourfilewitha.pyextensionandpressingCtrl B(orCmd B).2.EnsurethecorrectbuildsystemisselectedbygoingtoTools→BuildSystem→Pythonandconfirming"Python"ischecked.3.Ifn
How to use regular expressions with the re module in Python?
Aug 22, 2025 am 07:07 AM
Regular expressions are implemented in Python through the re module for searching, matching and manipulating strings. 1. Use re.search() to find the first match in the entire string, re.match() only matches at the beginning of the string; 2. Use brackets() to capture the matching subgroups, which can be named to improve readability; 3. re.findall() returns all non-overlapping matches, and re.finditer() returns the iterator of the matching object; 4. re.sub() replaces the matching text and supports dynamic function replacement; 5. Common patterns include \d, \w, \s, etc., you can use re.IGNORECASE, re.MULTILINE, re.DOTALL, re
How to build and run Python in Sublime Text?
Aug 22, 2025 pm 03:37 PM
EnsurePythonisinstalledbyrunningpython--versionorpython3--versionintheterminal;ifnotinstalled,downloadfrompython.organdaddtoPATH.2.InSublimeText,gotoTools>BuildSystem>NewBuildSystem,replacecontentwith{"cmd":["python","-
How to use variables and data types in Python
Aug 20, 2025 am 02:07 AM
VariablesinPythonarecreatedbyassigningavalueusingthe=operator,anddatatypessuchasint,float,str,bool,andNoneTypedefinethekindofdatabeingstored,withPythonbeingdynamicallytypedsotypecheckingoccursatruntimeusingtype(),andwhilevariablescanbereassignedtodif
How to pass command-line arguments to a script in Python
Aug 20, 2025 pm 01:50 PM
Usesys.argvforsimpleargumentaccess,whereargumentsaremanuallyhandledandnoautomaticvalidationorhelpisprovided.2.Useargparseforrobustinterfaces,asitsupportsautomatichelp,typechecking,optionalarguments,anddefaultvalues.3.argparseisrecommendedforcomplexsc
How to debug a remote Python application in VSCode
Aug 30, 2025 am 06:17 AM
To debug a remote Python application, you need to use debugpy and configure port forwarding and path mapping: First, install debugpy on the remote machine and modify the code to listen to port 5678, forward the remote port to the local area through the SSH tunnel, then configure "AttachtoRemotePython" in VSCode's launch.json and correctly set the localRoot and remoteRoot path mappings. Finally, start the application and connect to the debugger to realize remote breakpoint debugging, variable checking and code stepping. The entire process depends on debugpy, secure port forwarding and precise path matching.


