Word:

Rigorous

Rig´or`ous
a.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.
We do not connect the scattered phenomena into their rigorous unity.
- De Quincey.
2.Severe; intense; inclement; as, a rigorous winter.
3.Violent.
4.(Mathematics, Logic) Adhering scrupulously and exactly to accepted principles; hence, logically valid; as, a rigorous proof.
Adj.1.rigorous - rigidly accurate; allowing no deviation from a standard; "rigorous application of the law"; "a strict vegetarian"
Synonyms: strict
2.rigorous - demanding strict attention to rules and procedures; "rigorous discipline"; "tight security"; "stringent safety measures"
Synonyms: stringent, tight
3.rigorous - used of circumstances (especially weather) that cause suffering; "brutal weather"; "northern winters can be cruel"; "a cruel world"; "a harsh climate"; "a rigorous climate"; "unkind winters"
Synonyms: brutal, cruel, unkind, harsh
Herculean, Siberian, abstruse, accurate, acid, acidulous, acrid, acrimonious, acute, adamant, adamantine, adverse, algid, antagonistic, arctic, arduous, ascetic, astringent, attentive, below zero, biting, bitter, bitterly cold, bleak, boreal, brisk, brumal, brutal, burdensome, cast-iron, caustic, close, cold, cold as charity, cold as death, cold as ice, cold as marble, complex, conflicting, conscientious, constant, contrary, correct, counter, counteractive, crisp, critical, cutting, delicate, demanding, detailed, detrimental, difficile, difficult, direct, double-edged, dour, draconian, drastic, edged, escharotic, even, exact, exacting, excessive, exigent, exorbitant, express, exquisite, extravagant, extreme, faithful, fierce, fine, finical, finicking, finicky, firm, flinty, formidable, freezing, freezing cold, frigid, fundamentalist, furious, fussy, gelid, glacial, great, grim, hairy, hard-core, hard-earned, hard-fought, harmful, harsh, hibernal, hidebound, hiemal, hostile, hyperborean, ice-cold, ice-encrusted, icelike, icy, immoderate, immovable, immutable, implacable, impliable, in opposition, incisive, inclement, inelastic, inerrable, inerrant, inexorable, infallible, inflexible, inimical, intemperate, intense, intransigent, intricate, iron, ironbound, ironclad, ironhanded, irreconcilable, jawbreaking, keen, knotted, knotty, laborious, mathematical, mean, meticulous, micrometrically precise, microscopic, minute, miserable, mordacious, mordant, muscle-bound, narrow, nice, nipping, nippy, no picnic, not easy, numbing, obdurate, obstinate, onerous, operose, opposed, opposing, opposite, oppressive, orthodox, outrageous, particular, penetrating, piercing, pinching, pinpoint, poignant, precise, precisianistic, precisionistic, procrustean, proper, punctilious, punctual, purist, puristic, puritan, puritanic, raw, refined, relentless, religious, religiously exact, right, rigid, rigorist, rigoristic, rock-ribbed, rockbound, rugged, scathing, scientific, scientifically exact, scrupulous, scrutinizing, set with thorns, sharp, sinister, sleety, slushy, snappy, spiny, splitting, square, stabbing, steely, steep, stiff, stinging, stone-cold, straightlaced, straitlaced, strenuous, stressful, strident, stringent, stubborn, subtle, subzero, supercooled, tart, thorny, ticklish, toilsome, tough, trenchant, tricky, troublesome, troublous, trying, unaffected, unalterable, unbending, unchangeable, uncompromising, unconscionable, undeviating, unerring, unfavorable, ungiving, unmoved, unrelenting, untoward, unyielding, uphill, vehement, venomous, violent, virulent, vitriolic, wicked, winterbound, winterlike, wintery, wintry, wretched
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Rigidity
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rigor mortis
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-- Rigorous --
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