different between unintermitted vs continuous

English

un- +? intermitted

unintermitted (comparative more unintermitted, superlative most unintermitted)

(dated) Not intermitted; uninterrupted, ceaseless.
- 1888, Henry James, The Reverberator.
  The only action taken by Mr. Dosson in consequence of his elder daughter's revelations was to embrace the idea as a subject of daily pleasantry. He was fond, in his intercourse with his children, of some small usual joke, some humorous refrain; and what could have been more in the line of true domestic sport than a little gentle but unintermitted raillery upon Francie's conquest?

From Latin continuus, from contine? (“hold together”). Displaced native Old English singal.

continuous (not comparable)

Without stopping; without a break, cessation, or interruption.
Synonyms: perpetual, nonstop, incessant, ongoing; see also Thesaurus:continuous
Antonyms: broken, discontinuous, discrete, intermittent, interrupted
- 1847, Henry Wadsworth Longfellow, Evangeline: a tale of Acadie, Ticknor and Fields (1854), page 90:
  he can hear its continuous murmur
Without intervening space; continued.
Synonyms: protracted, extended, connected, continued, unbroken
Antonyms: broken, disconnected, disjoint
(botany) Not deviating or varying from uniformity; not interrupted; not joined or articulated.
(mathematical analysis, of a function) Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D.
(mathematics, more generally, of a function between two topological spaces) Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).
(grammar) Expressing an ongoing action or state.

Continuous is stronger than continual. It denotes that the continuity or union of parts is absolute and uninterrupted, as in a continuous sheet of ice, or a continuous flow of water or of argument. So Daniel Webster speaks of "a continuous and unbroken strain of the martial airs of England." By contrast, continual usually marks a close and unbroken succession of things, rather than absolute continuity. Thus we speak of continual showers, implying a repetition with occasional interruptions; we speak of a person as liable to continual calls, or as subject to continual applications for aid.

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