D defs.my
Entry 4 senses Webster, 1913

Rigorous

/rĭg'-ẽr-əs/ · Rig·or·ous · IPA /ˈɹɪɡəɹəs/
01 a. Manifesting, exercising, or favoring rigor; allowing no abatement or mitigation; scrupulously accurate; exact; strict; severe; relentless; …
  1. 1.
    Manifesting, exercising, or favoring rigor; allowing no abatement or mitigation; scrupulously accurate; exact; strict; severe; relentless; as, a rigorous officer of justice; a rigorous execution of law; a rigorous definition or demonstration.
    “He shall be thrown down the Tarpeian Rock With rigorous hands.” Shak.
    “We do not connect the scattered phenomena into their rigorous unity.” De Quincey.
  2. 2.
    Severe; intense; inclement; as, a rigorous winter.
  3. 3.
    Violent.[Obs.]
  4. 4.
    Adhering scrupulously and exactly to accepted principles; hence, logically valid; as, a rigorous proof.(Mathematics, Logic)