state vs domain

state and domain both are nouns.

Word	Noun	Adjective	Verb	Adverb
state	Yes	No	Yes	No
domain	Yes	No	No	No

state (noun)	domain (noun)
the way something is with respect to its main attributes	the content of a particular field of knowledge
a politically organized body of people under a single government	people in general; especially a distinctive group of people with some shared interest
the group of people comprising the government of a sovereign state	(mathematics) the set of values of the independent variable for which a function is defined
the territory occupied by a nation	territory over which rule or control is exercised
the territory occupied by one of the constituent administrative districts of a nation	a particular environment or walk of life
a state of depression or agitation
(chemistry) the three traditional states of matter are solids (fixed shape and volume) and liquids (fixed volume and shaped by the container) and gases (filling the container)

state (verb)	domain (verb)
express in words
put before
indicate through a symbol, formula, etc.