examples/ directory contain some ready to use examples using MathLive:
examples/basic/create a mathfield, read its content when it changes, and outputs it as LaTeX
examples/mathjs/create a mathfield, read its content as an AST (Abstract Syntax Tree) and use the mathjs library to evaluate it.
examples/speech/provides a simple user interface to read a math equation in "karaoke" mode, using text to speech and synchronized highlighting.
examples/virtual_keyboard/provides a simple example on how to customize the virtual keyboard by implementing a keyboard mimicking the HP-15C calculator
examples/vue/example using the MathLive Vue.js wrapper