Identification and presentation of mathematical symbols and formulas, user interface and interactive design.

1. Identification and presentation of mathematical symbols and formulas: To develop mathtype, we need to be able to identify and present various mathematical symbols and formulas. This requires establishing a database of mathematical symbols and formulas, and designing an algorithm that can analyze and render these symbols and formulas. In addition, we also need to consider how to convert the input text into recognizable mathematical symbols and formulas, and how to output the rendering results as text or images.

2. User interface and interaction design: In addition to the identification and rendering of symbols and formulas, another key aspect is user interface and interaction design. An excellent mathtype needs to provide an easy-to-use user interface and an intuitive way of interaction, so that users can easily input and edit mathematical formulas. This includes supporting various shortcut keys, auto-completion, grammar highlighting and other functions, as well as providing real-time preview and error prompts to help users better understand and edit formulas.