Etymology
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Words related to *wal-

ambivalence (n.)

"simultaneous conflicting feelings," 1924 (1912 as ambivalency), from German Ambivalenz, coined 1910 by Swiss psychologist Eugen Bleuler on model of German Equivalenz "equivalence," etc., from Latin ambi- "both, on both sides" (see ambi-) + valentia "strength," abstract noun from present participle of valere "be strong" (from PIE root *wal- "to be strong"). A psychological term that by 1929 had taken on a broader literary and general sense.

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Arnold 
masc. proper name, from Old High German Arenwald, literally "having the strength of an eagle," from arn "eagle," from Proto-Germanic *aron- "eagle" (from PIE root *or- "large bird;" see erne) + wald "power" (from PIE root *wal- "to be strong").
avail (v.)
c. 1300, availen, "to help (someone), assist; benefit, be profitable to; be for the advantage of; have force or efficacy, serve for a purpose," apparently an Anglo-French compound of Old French a- "to" (see ad-) + vaill-, present stem of valoir "be worth," from Latin valere "be strong, be worth" (from PIE root *wal- "to be strong"). Related: Availed; availing. As a noun, from c. 1400.
bivalent (adj.)
1864, of chemicals, 1899, of chromosomes, from bi- + -valent (see valence in the chemistry sense).
convalesce (v.)

"to grow better after sickness, make progress toward the recovery of health," late 15c., from Latin convalescere "thrive, regain health, begin to grow strong or well," from assimilated form of com-, here perhaps an intensive prefix (see com-), + valescere "to begin to grow strong," inchoative of valere "to be strong" (from PIE root *wal- "to be strong"). Only in Caxton and Scottish writers until 19c. Related: Convalesced; convalescing.

countervail (v.)

late 14c., countrevaillen, "to be worth as much as," also "to prevail against, resist with equal force," from Anglo-French countrevaloir, Old French contrevaloir "to be effective against, be comparable to," from Latin phrase contra valere "to be worth against" (see contra- and valiant). Related: Countervailing.

Donald 

surname, from 13c. Scottish Dofnald, Dufenald, probably from Gaelic Domhnall, Old Irish Domnall (pronounced "Dovnall"), from Proto-Celtic *Dubno-valos "world-mighty, ruler of the world," from *walos "ruler" (from PIE root *wal- "to be strong") + Old Irish domun "world," from PIE root *dheub- "deep, hollow," via sense development from "bottom" to "foundation" to "earth" to "world" (see deep (adj.)). A top 10 name for boys born in the U.S. between 1923 and 1943. Disney's Donald Duck cartoon character debuted in 1934.

equivalent (adj.)

early 15c., "equal in value, power, or effect," from Late Latin aequivalentem (nominative aequivalens) "equivalent," present participle of aequivalere "be equivalent," from Latin aequus "equal" (see equal (adj.)) + valere "be well, be worth" (from PIE root *wal- "to be strong"). As a noun from c. 1500, "that which is equal or corresponds to." Related: Equivalently.

evaluation (n.)
1755, "action of appraising or valuing," from French évaluation, noun of action from évaluer "to find the value of," from é- "out" (see ex-) + valuer, from Latin valere "be strong, be well; be of value, be worth" (from PIE root *wal- "to be strong"). Meaning "job performance review" attested by 1947.
Gerald 
masc. proper name, introduced into England by the Normans, from Old French Giralt, from Old High German Gerwald, "spear-wielder," from Proto-Germanic *girald, from *ger "spear" (see gar) + base of waltan "to rule" (cognate with Old English wealdan; from PIE root *wal- "to be strong"). The name often was confused with Gerard.