Text, formulas, and graphics serve as fundamental tools for documenting, communicating, and disseminating human civilization and scientific knowledge. The ability to edit and input formulas and graphics is a critical complement to text input in digital environments. Despite the internet's rapid evolution since the late 20th century, efficient online editing and input of formulas and graphics remain partially unresolved. This limitation has led to reliance on text and static images as primary means of online communication, significantly hindering progress in education, scientific research, engineering, and economic management.

Web-FormulaEdit emerges as a pioneering web-based formula editing tool compatiblewith IE core browsers, designed to address these challenges. Key features include:

• 1. Visual editing, analysis, and online management of formulas.
• 2. Capability for visual formula search and recognition.
• 3. No need for plugin installations or specific fonts by the network client.
• 4. Formula data compression into textual notes to reduce server storage demands.
• 5. Client-side formula editing and analysis to minimize network load.

Further enhancing this domain, MathEditor introduces advanced capabilities for handlingcomplex mathematical expressions:

• 1. Comprehensive visual editing and analysis of complex mathematical formulas.
• 2. Customizable formula font size and color.
• 3. HTML-based formula data for seamless offline and online integration.
• 4. Support for numerical calculations, fraction operations, and matrixtransformations.
• 5. Local selection and programming calculations based on visual formulastructures.

As the internet has rapidly evolved, it has become a fundamental tool for accessing,disseminating, and sharing information, crucial for work, education, research, andcommunication. Given that mathematics is the foundational language of science andtechnology, the ability to edit and share mathematical formulas online is increasinglycritical for educational and research fields. This challenge has prompted thedevelopment of various technical solutions worldwide, which broadly fall into twocategories:

1.Image-Based Display: This approach includes both static and dynamic displaysof mathematical formulas. Static displays typically involve creating images offormulas using software like Word and uploading them to servers, which cansignificantly consume network resources without allowing for data reuse.Dynamic displays, on the other hand, involve servers generating images based onformula data submitted by users. While this method can support interactive uses,it requires complex understanding from users, consumes substantial server andnetwork resources, and struggles with scalability for simultaneous interactivesessions. Additionally, the quality of images can compromise clarity andtransmission efficiency.

2.MathML (Mathematical Markup Language) Based: This method utilizes MathMLto annotate and display mathematical formulas in web browsers. However, itsadoption is limited by the lack of support from popular browsers like IE,necessitating additional software or plugins for functionality. According to theWorld Wide Web Consortium (W3C), existing strategies to display and editformulas in non-supporting mainstream browsers universally require extrainstallations.

This summary illustrates the ongoing need for more efficient, scalable, and universallyaccessible solutions for editing and sharing mathematical content online, highlightingthe technological and practical limitations of current approaches.