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How could the math types being represented in a format that are searchable like text?

I mean that there is a toolbar that you can have input math symbols and search for them as text, so the format can represent math symbols as text.

Is it such a task impossible to implement because math types can be represented only as icons?

What do you think is the proper implementation of a new format that loads symbols in memory like text-format?

Are there any existing solutions of searchable Math symbols in pdf or in any other format?

(I do not take under consideration Latex since you should use words for searching but not using math symbols directly and using words for searching a long Math formula could be very complex for writing down and the user could prefer to scroll the document than writing the whole latex-format of the math type)

Designing new fonts that represent Math symbols can help of solving the problem or not at all?

Thanks in advance!

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