I have a paper to write before class.
I can say this, if I'm not mistaken, this way:
I have a paper which is to be written before class.
What has happened here? What is the name of this?
Another example:
The inherent desire to develop that technique caused him to spend 11 years on it.
Here this can be said in this way:
The inherent desire (which was to/in order to) develop that technique caused him to spend 11 years on it.
Could you give me a link for further study?