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Adjective: unwavering  ,ún'wey-vu-ring
  1. Marked by firm determination or resolution; not shakable
    "unwavering loyalty";
    - firm, steadfast, steady, stiff, unbendable, unfaltering, unshakable, unshakeable
     
  2. Not showing abrupt variations
    "She maintained an unwavering gaze";
    - level

See also: resolute, steady