• WordNet 3.6
    • adj rigorous demanding strict attention to rules and procedures "rigorous discipline","tight security","stringent safety measures"
    • adj rigorous rigidly accurate; allowing no deviation from a standard "rigorous application of the law","a strict vegetarian"
    • ***
Webster's Revised Unabridged Dictionary
    • Rigorous (Mathematics, Logic) Adhering scrupulously and exactly to accepted principles; hence, logically valid; as, a rigorous proof.
    • Rigorous 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 ."
      "We do not connect the scattered phenomena into their rigorous unity."
    • Rigorous Severe; intense; inclement; as, a rigorous winter.
    • Rigorous Violent. "Rigorous uproar."
    • ***
Century Dictionary and Cyclopedia
    • rigorous Acting with rigor; strict in performance or requirement.
    • rigorous Marked by inflexibility or severity; stringent; exacting; hence, unmitigated; merciless.
    • rigorous Exact; strict; precise; scrupulously accurate: as, a rigorous definition or demonstration.
    • rigorous Hard; inclement; bitter; severe: as, a rigorous winter.
    • rigorous Synonyms and Severe, Rigid, etc. (see austere), inflexible, unbending, unyielding.
    • ***
Chambers's Twentieth Century Dictionary
    • adj Rigorous exercising rigour: allowing no abatement: marked by severity: harsh: scrupulously accurate: very severe
    • ***


  • Paul De Man
    Paul De Man
    “Literature... is condemned (or privileged) to be forever the most rigorous and, consequently, the most reliable of terms in which man names and transforms himself.”
  • George Washington
    “Lenience will operate with greater force, in some instances than rigor. It is therefore my first wish to have all of my conduct distinguished by it.”
  • William Blake
    “You smile with pomp and rigor, you talk of benevolence and virtue; I act with benevolence and virtue and get murdered time after time.”
  • Mignon McLaughlin
    “For the happiest life, days should be rigorously planned, nights left open to chance.”
  • Ezra Pound
    “Gloom and solemnity are entirely out of place in even the most rigorous study of an art originally intended to make glad the heart of man.”
  • Alain French
    Alain French
    “One must be truthful with oneself about one's own motives, especially if one is to survive in the world. It takes rigor, and it takes courage.”


Webster's Revised Unabridged Dictionary
F. rigoureux, LL. rigorosus,. See Rigor
Chambers's Twentieth Century Dictionary
L. rigorrigēre.


In literature:

Evidently: (1) the constancy of the battery used; (2) a rigorously accurate adjustment.
"Scientific American Supplement, No. 598, June 18, 1887" by Various
These rigorous observances she must practise for nearly a year.
"Balder The Beautiful, Vol. I." by Sir James George Frazer
But his horse had succumbed to the rigors of that frantic ride in pursuit of Alice and McTurpin several months ago.
"Port O' Gold" by Louis John Stellman
It was not the policy of the conqueror to establish any rigorous system of public control.
"The Young Captives" by Erasmus W. Jones
Throughout his life Dominic is said to have zealously practiced rigorous self-denial.
"A Short History of Monks and Monasteries" by Alfred Wesley Wishart
Yet the tenderest private gentleness often lay behind this gloomy rigor of the conscience.
"Atlantic Monthly, Vol. XII. September, 1863, No. LXXI." by Various
The provisions of the Edict were carried out with inflexible rigor.
"Continental Monthly, Vol. I. February, 1862, No. II." by Various
In the heat of the excitement of war the system lost almost all of its rigor, the slave codes in some cases falling into desuetude.
"The Journal of Negro History, Vol. I. Jan. 1916" by Various
This you shall attend to with the most rigorous care and attention.
"The Philippine Islands, 1493-1898, V7, 1588-1591" by Emma Helen Blair
Looking round the comfortable room, she thought of the men who braved the rigors of winter in the frozen wilds.
"The Lure of the North" by Harold Bindloss
This measure should still be enforced rigorously.
"The Philippine Islands, 1493-1898" by E. H. Blair
It soon began to feel the rigorous methods of the Emperor.
"The Life of Napoleon I (Volumes, 1 and 2)" by John Holland Rose
Their early instincts had been supplemented by a rigorous early training.
"African Camp Fires" by Stewart Edward White
But it was in vain that she strove by a rigorous discipline to check its advance.
"History of the English People, Volume V (of 8)" by John Richard Green
In Elizabeth's early married life she had kept it rigorously.
"A Little Girl in Old Boston" by Amanda Millie Douglas
Charles IX., who now occupied the throne under the rigorous rule of his infamous mother, was feeble in body and still more feeble in mind.
"Henry IV, Makers of History" by John S. C. Abbott
Yet with all this, they abhorred, and chastised, and rigorously punished incest.
"The Philippine Islands, 1493-1898 - Volume 40 of 55" by Francisco Colin
The tumult of agitation into which she was thrown, dreadful as it was, relaxed not the stern rigor of the law.
"Maria Antoinette" by John S. C. (John Stevens Cabot) Abbott
"History of the Great American Fortunes, Vol. I" by Myers Gustavus
If everybody could stand the rigors of New England weather, what would become of the rest of the continent?
"A Rambler's lease" by Bradford Torrey

In poetry:

We, in some unknown Power's employ,
Move on a rigorous line;
Can neither, when we will, enjoy,
Nor, when we will, resign.
"Stanzas In Memory Of The Author Of 'Obermann'" by Matthew Arnold
If placed beneath the northern pole,
Though winter reigns with rigor there;
His gracious beams would cheer my soul,
And make a spring throughout the year.
"The Believer's Safety (II)" by John Newton
Therefore, O tender Lady, Queen Mary,
Thou gentleness that dost enmoss and drape
The Cross's rigorous austerity,
Wipe thou the blood from wounds that needs must gape.
"After-Strain" by Francis Thompson
The rigor of the weekday is cast aside with shoes,
With business suits and traffic's motion;
The lolling man lies with the passionate sun,
Or is drunken in the ocean.
"Far Rockaway" by Delmore Schwartz
So drooped and died her home-blown rose of bliss
In the chill rigor of a discipline
That turned her fond lips from her children's kiss,
And made her joy of motherhood a sin.
"The Two Elizabeths" by John Greenleaf Whittier
Baring his long silver locks to the breeze,
First for a moment he drops on his knees;
Then with a rigor that few could excel,
Answers the welcome bidding,
Ring, ring the bell.
"Ring the Bell, Watchman!" by Henry Clay Work

In news:

Catholic Central High has proud history, academic rigor .
Catholic Central has proud history, academic rigor .
New national forest rule lacks rigor .
Arts and Culture / Books Two Readings From " Rigor Amortis".
Summer arts workshop provides rigor , rewards.
What does academic rigor look like.
I got an email from a fellow edu-blogger a couple of days ago asking for my input on the subject of academic rigor .
FDA Petitioned to Review Genetically Engineered Salmon More Rigorously .
Folksonomy Meets Rigorously Defined Common-sense.
More than 3,600 students will receive degrees from Texas A&M University Dec 12-13, and all will have completed rigorous courses of study.
The Pilates-and-dance-inspired method offers a fun and rigorous workout.
It has successfully completed its rigorous Quality Management System upgrade to AS9120 Revision A.
Very little can prepare you for the rigors of becoming a school leader.
Rick Giannini, PharmD, BCOP, Pharmacist at the Cancer Care Center at Warren General Hospital, recently completed rigorous requirements to achieve an Oncology Pharmacy Specialty certification.
The Navy SEAL training is legendary as the most rigorous in the world.

In science:

One is to formalize rigorously the notions suggested in Section IV, allowing for some well defined definitions of the clusters, and a corresponding derivation of the SP equations.
Constraint Satisfaction by Survey Propagation
The arguments presented above, while not rigorous, are well supported by the numerical results, as we will show in the next section.
Lattice Supersymmetry and Topological Field Theory
This equivalence is widely used in polymer theory [4, 5] and in rigorous studies of second-order phase transitions and field theories .
Conformal Fractal Geometry and Boundary Quantum Gravity
Lawler, Schramm and Werner were then able to rigorously derive the Brownian intersection exponents , as well as Mandelbrot’s conjecture by relating them to the properties of SLEκ=6 . S.
Conformal Fractal Geometry and Boundary Quantum Gravity
The value of the Hausdorff dimension of the SLE trace, DH (κ) = 1 + κ/8, has been obtained rigorously by V.
Conformal Fractal Geometry and Boundary Quantum Gravity
For the entropy S and the internal energy U , this can be discussed rigorously by using the conventional BGS method for the statistical interpretation of the zeroth law.
Generalized algebra within a nonextensive statistics
This is followed by a more rigorous definition together with some necessary terminology to introduce the two main models of quantum random walks in Section III.
Quantum random walks - an introductory overview
This limit was subsequently established rigorously by Aldous [A92, A01] using the weak convergence method on a weighted infinite tree model.
A Proof of Parisi's Conjecture on the Random Assignment Problem
For the rigorous formulation and proof of this result (and its generalizations), see [Jo2].
Kerov's central limit theorem for the Plancherel measure on Young diagrams
Nevertheless, the superposition of the two wave packets remains coherent so that, rigorously speaking, the system is not equivalent to a classical mixture of two gases, in opposition to what we have assumed in the previous section.
Large amplitude spin waves in ultra-cold gases
The first rigorous results in this direction had been obtained by Sinai who proved the following result in the balanced case (i.e. h = 0).
Localization-delocalization phenomena for random interfaces
In physics literature, there are non-rigorous arguments claiming that the tangent is 1, but we neither have been able to prove or disprove it, yet.
Localization-delocalization phenomena for random interfaces
This has been demonstrated rigorously in some particular cases, see .
Random walks in random environments
Presently, there is an effort to determine the transport properties of this model rigorously.
Transport in one dimensional quantum systems
We quote some of the (rigorous) results that will be important for understanding the dynamics.
Convergence to equilibrium for finite Markov processes, with application to the Random Energy Model