Etymology
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dia- 

before vowels, di-, word-forming element meaning "through, in different directions, between," also often merely intensive, "thoroughly, entirely," from Greek dia "through; throughout," probably cognate with bi- and related to duo "two" (from PIE root *dwo- "two") with a base sense of "twice."

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permeation (n.)

"act of permeating; state of being permeated," 1620s, noun of action from Latin permeare "to pass through" (see permeate).

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di- (3)

word-forming element of Greek origin meaning "through; in different directions; between," also often merely intensive, "thoroughly;" the form of dia- before vowels.

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ver- 

German prefix "denoting destruction, reversal, or completion" [Watkins], from Proto-Germanic *fer-, *far-, from PIE root *per- (1) "forward," hence "through."

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cata- 

word-forming element meaning "down, downward," but also "through, on, against, concerning," etc., from Latinized form of Greek kata-, before vowels kat-, from kata "down, downward, down from, down to," from PIE *kmt- "down, with, along" (source also of Hittite kattan (adv.) "below, underneath," katta "along with"). Occasionally in Greek it had senses of "against" (catapult) or "wrongly" (catachresis), also "along, through, over, across, concerning." Also sometimes used as an intensive or with a sense of completion of action (catalogue). Very active in ancient Greek, this prefix is found in English mostly in words borrowed through Latin after c. 1500.

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trans- 

word-forming element meaning "across, beyond, through, on the other side of, to go beyond," from Latin trans (prep.) "across, over, beyond," perhaps originally present participle of a verb *trare-, meaning "to cross," from PIE *tra-, variant of root *tere- (2) "cross over, pass through, overcome." In chemical use indicating "a compound in which two characteristic groups are situated on opposite sides of an axis of a molecule" [Flood].

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per- 

word-forming element common in words of French and Latin origin, meaning primarily "through," thus also "throughout; thoroughly; entirely, utterly," from Latin preposition per (see per (prep.)).

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-fy 

word-forming element meaning "make, make into," from French -fier, from Latin -ficare, combining form of facere "to make" (from PIE root *dhe- "to set, put").

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theco- 

before vowels thec-, word-forming element used in botany and zoology with the sense "case, capsule," from Latinized combining form of Greek thēkē "case, receptacle," from PIE *dhek-, suffixed form of root *dhe- "to set, put."

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-facient 

word-forming element meaning "a doer, one who or that which does," from Latin -facientem (nominative -faciens), combining form of present participle of facere "to make" (from PIE root *dhe- "to set, put").

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