According to Dictionary.com, "discrete" is an adjective that describes something that is "apart or detached from others; separate; distinct." It is also defined as describing something that is "discontinuous." In mathematics, "discrete" means "having the property that every subset is an open set," or "defined only for an isolated set of points: a discrete variable." Discrete can also mean "using only arithmetic and algebra; not involving calculus: discrete methods." Synonyms of "discrete" are "different," "individual" and "unconnected."
The related forms of "discrete" are "discretely," an adverb, and "discreteness," a noun.
According to Merriam-Webster's online dictionary (merriam-webster.com), "mobile" is an adjective that describes something "capable of moving or being moved; movable." It can also describe something "changeable in appearance, mood, or purpose," or "adaptable" and "versatile." Synonyms of "mobile" are "moveable," "adaptable," "versatile" and "migratory."
A related form of "mobile" is "mobility," a noun.