These are the usual visual representations of functions on the Cartesian plane. Since functions can be treated like vectors, are there also standard ways to display or consider arbitrary functions as finite-length arrows like we do for a member of R^n?

superbluecat

Do computers sample the functions to form a discrete vector in certain multimedia tasks? Since in most cases the computer can not handle continuous functions, so function should be converted to vector?

MrRockefeller

Is there a standard method to reverse the process of adding two functions together, to decompose a complicated function into several simpler ones?

These are the usual visual representations of functions on the Cartesian plane. Since functions can be treated like vectors, are there also standard ways to display or consider arbitrary functions as finite-length arrows like we do for a member of R^n?

Do computers sample the functions to form a discrete vector in certain multimedia tasks? Since in most cases the computer can not handle continuous functions, so function should be converted to vector?

Is there a standard method to reverse the process of adding two functions together, to decompose a complicated function into several simpler ones?