rigorously

rigorously
    adv 1: in a rigorous manner; "he had been trained rigorously by
           the monks" [syn: {rigorously}, {strictly}]
    

Rigorous \Rig"or*ous\, a. [F. rigoureux, LL. rigorosus. See
   {Rigor}.]
   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.
      [1913 Webster]

            He shall be thrown down the Tarpeian Rock
            With rigorous hands.                  --Shak.
      [1913 Webster]

            We do not connect the scattered phenomena into their
            rigorous unity.                       --De Quincey.
      [1913 Webster]

   2. Severe; intense; inclement; as, a rigorous winter.
      [1913 Webster]

   3. Violent. [Obs.] "Rigorous uproar." --Spenser.
      [1913 Webster]

   4. (Mathematics, Logic) Adhering scrupulously and exactly to
      accepted principles; hence, logically valid; as, a
      rigorous proof.
      [PJC]

   Syn: Rigid; inflexible; unyielding; stiff; severe; austere;
        stern; harsh; strict; exact.
        [1913 Webster] -- {Rig"or*ous*ly}, adv. --
        {Rig"or*ous*ness}, n.
        [1913 Webster]
    

91 Moby Thesaurus words for "rigorously":
      absolutely, accurately, adamantly, all to pieces, badly,
      conscientiously, dead, definitely, directly, dourly, even,
      exactingly, exactly, expressly, exquisitely, faithfully, fiercely,
      firmly, furiously, fussily, grimly, hardly, harshly, immovably,
      immutably, implacably, impliably, in all respects, in detail,
      in every respect, inexorably, inflexibly, intransigently,
      ipsissimis verbis, ironhandedly, irreconcilably, just, like blazes,
      like fury, like mad, literally, literatim, madly, meticulously,
      minutely, nicely, obdurately, painfully, plumb, point-blank,
      positively, precisely, punctiliously, punctually, refinedly,
      relentlessly, right, rigidly, roughly, scrupulously, severely,
      square, squarely, sternly, stiffly, straight, strictly,
      to the letter, unalterably, unbendingly, unchangeably,
      uncompromisingly, undeviatingly, unerringly, unregenerately,
      unrelentingly, unyieldingly, vehemently, venomously, verbally,
      verbatim, verbatim et litteratim, violently, virulently, wildly,
      with a vengeance, with exactitude, with great nicety,
      with precision, word by word, word for word