gradation

Definitions

  • WordNet 3.6
    • n gradation the act of arranging in grades
    • n gradation a degree of ablaut
    • n gradation relative position in a graded series "always a step behind","subtle gradations in color","keep in step with the fashions"
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Webster's Revised Unabridged Dictionary
    • Gradation (Mus) A diatonic ascending or descending succession of chords.
    • Gradation (Fine Arts) A gradual passing from one tint to another or from a darker to a lighter shade, as in painting or drawing.
    • Gradation Any degree or relative position in an order or series. "The several gradations of the intelligent universe."
    • Gradation The act of progressing by regular steps or orderly arrangement; the state of being graded or arranged in ranks; as, the gradation of castes.
    • Gradation The act or process of bringing to a certain grade.
    • v. t Gradation To form with gradations.
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Century Dictionary and Cyclopedia
    • n gradation The act of grading, or the state of being graded; orderly or continuous arrangement or succession; serial order or sequence according to size, intensity, quality, rank, attainment, or the like.
    • n gradation Hence Progress from one degree or state to another; a regular advance from step to step: as, the gradations of an argument.
    • n gradation A degree or relative position in any order or series.
    • n gradation In the fine arts, the regular arrangement or subordination to one another of the parts of any work of art, so as to produce the best effect, as, in painting, the gradual blending of one tint into another.
    • n gradation In music, a diatonic ascending or descending succession of chords.
    • n gradation In philology, the relation of the radical vowels in a series of verbal forms or derivatives derived with variation from the same verbal root, as sing, sang, sung: same as ablaut.
    • n gradation In geology, the process of producing an even slope, by agencies of erosion and transportation, on which the supply and removal of rock-waste or detrital material are about balanced.
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Chambers's Twentieth Century Dictionary
    • n Gradation a rising step by step: progress from one degree or state to another: position attained: state of being arranged in ranks: :
    • n Gradation (mus.) a diatonic succession of chords
    • n Gradation (paint.) the gradual blending of tints
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Quotations

  • William Hazlitt
    William%20Hazlitt
    “Anyone who has passed through the regular gradations of a classical education, and is not made a fool by it, may consider himself as having had a very narrow escape.”
  • Ralph Waldo Emerson
    Ralph%20Waldo%20Emerson
    “There is no chance, and no anarchy, in the universe. All is system and gradation. Every god is there sitting in his sphere.”

Etymology

Webster's Revised Unabridged Dictionary
L. gradatio,: cf. F. gradation,. See Grade
Chambers's Twentieth Century Dictionary
Fr.,—L. gradus, a step—gradi, to step.

Usage

In literature:

Here he begins with the rudiments of bookkeeping, the study which marks his gradation.
"Scientific American, Volume XLIII., No. 25, December 18, 1880" by Various
The titter of the ladies increased to a giggle, and then by regular gradation, to a loud and uncontrollable laugh.
"Frank Mildmay" by Captain Frederick Marryat
There are gradations in the practice of desertion, and it is not confined to men.
"Society" by Henry Kalloch Rowe
Yet even in this holocaust there were degrees, gradations of sacrifice.
"Woman's Work in the Civil War" by Linus Pierpont Brockett
It was observed that in proportion to the gradations of the tones to the soft point, the feelings of the animal appeared to be increased.
"Anecdotes of the Habits and Instinct of Animals" by R. Lee
Of all the nations of Europe, I know of none, save Italy, in which the characters are the same in every class and gradation.
"Cornelius O'Dowd Upon Men And Women And Other Things In General Originally Published In Blackwood's Magazine - 1864" by Charles Lever
All these men wore pleated frock-coats of all tints and gradations of the colours of the rainbow.
"Across Coveted Lands" by Arnold Henry Savage Landor
It increased by steady gradation until 1851, when it reached 9871.
"The Book-Hunter" by John Hill Burton
By a skilfully arranged gradation of feelings the onlookers were uplifted to a state of rapturous ecstasy.
"The Oriental Religions in Roman Paganism" by Franz Cumont
Say that the snakes occupied the next gradation, and would be the next to fall.
"The Book of the Damned" by Charles Fort
Each of these was varied in definite gradations, and the effect measured.
"Researches on Cellulose" by C. F. Cross
We shall only give in each class a few verbs to illustrate the gradation of vowels and consonant changes.
"A Middle High German Primer" by Joseph Wright
They conned the nice gradations of tint in the spring foliage of Gramercy Park.
"Pipefuls" by Christopher Morley
Odin had never bothered to learn the different gradations in Grim Hagen's slave-world.
"Hunters Out of Space" by Joseph Everidge Kelleam
They then shrank modestly by gradations until they stuck at the 5x7 form.
"The Adventures of Bobby Orde" by Stewart Edward White
There was another night when, with the usual unreason, the swift and luxurious glide, lessening through easy gradations, ceased.
"Old Junk" by H. M. Tomlinson
It is an unceasing and inexhaustible pursuit; it has infinite gradations, and is full of infinite possibilities.
"The Mystery of a Turkish Bath" by E.M. Gollan (AKA Rita)
True literary mythology is found only in civilized peoples, and among these a gradation is recognizable.
"Introduction to the History of Religions" by Crawford Howell Toy
There appear to be all gradations in type from silver-free tin ores to tin-free silver ores, although the extremes are now believed to be rare.
"The Economic Aspect of Geology" by C. K. Leith
With the study of landscape, the range of gradation from light to dark has broadened.
"The Painter in Oil" by Daniel Burleigh Parkhurst
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In poetry:

What art thou, gathering dusky cool,
In slow gradation fine?
Death's lovely shadow, flickering full
Of eyes about to shine.
"Songs of the Summer Nights" by George MacDonald
For though--through Time's gradations,
The LIVING bud may burst,--
The WITHERED one is gathered,
And blooms in Heaven first.
"Over The Eyes Of Gladness" by James Whitcomb Riley
Then with no fiery, throbbing pain,
No cold gradations of decay,
Death broke at once the vital chain,
And forced his soul the nearest way.
"On the Death of Dr. Robert Levet" by Samuel Johnson
And Grenville, she whose radiant eyes
Have mark'd by slow gradation rise
The princely piles of Stowe;
Yet praised these unembellish'd woods,
And smiled to see the babbling floods
Through self-worn mazes flow.
"A Pastoral Ode. To the Hon. Sir Richard Lyttleton" by William Shenstone

In news:

But as impressive as the flask 's back story was its extremely rare brilliant yellow color that had an unusual gradation, from yellow to almost clear in the middle of the body.
The review team focused on the aggregate and discovered the core of the problem was the variability of the aggregate gradations in both fine and coarse sizes.
On paper, the aggregate gradation reports submitted by each testing location seemed to be consistent, with results falling within our control band.
Color gradations to depict vegetation and labels for natural land formations are also included, Wired reported Friday.
LULU LEDERMAN sees the world of style in gradations, small subtle characteristics that distinguish a hip piece of clothing from a truly awful one.
A couple takes a minimalist approach to their Brooklyn apartment, focusing on supple materials, subtle gradations of color, and custom finishes by local craftsmen.
His Lifx bulbs , which screw into standard lamps, are energy-efficient, last up to 25 years, and can shine in millions of different color gradations.
In developed economies, the major factor contributing to the growth of the water treatment chemical market are equipment replacements, technology up gradation and introduction of innovative products.
Enlarge Martin Griff / The Times Emily Fisher Charter School graduating seniors line up on a staircase at Marriott Hotel in Trenton on Friday, June 15, 2012, for what could be the last gradation ceremony for the school.
In many areas, the gradations of pay based on geography are relatively slight, and for the most part the factor does not appear to register highly with physicians considering their financial situations.
Everyone who is anyone in the world of cars is showing off their hybrids – be they electric motors boosting a petrol engine, petrol engines extending the range of electric batteries, or any manner of gradations in between.
Each customer's specific refining process for product gradation is met with the exactness that comes from a custom manufacturer.
Samuel Johnson wrote " In sovereignty there are no gradations ".
Blending is the ability to gradate from one color to another without obvious transitions and boundaries.
Do his thighs bear the iced-latte gradations of a bathing suit switcher.
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In science:

Since γ + δ = 2β and l(γ ) + l(δ) = 2, the element [Lγ , Lδ ] is homogeneous of degree (2β , 2) relative to the Λe -gradation.
Classification of Simple Lie Algebras on a Lattice
Similarly, [L−γ , Lδ ] is homogeneous of degree (2α, 2) relative to the Λe gradation.
Classification of Simple Lie Algebras on a Lattice
The condition (iii) of an admissible triple ensures that the associated Λ-gradation of sl(2, J ) is mutiplicity free.
Classification of Simple Lie Algebras on a Lattice
Since the gradation of sl(2, J (α)) is multiplicity free, the four subsets Supp J (α), ±α + Supp J (α) In particular J (α) is of the class J (Λ′ ) and and Supp Inn J (α) are disjoint. (J (α), Λ′ , α) is an admissible datum.
Classification of Simple Lie Algebras on a Lattice
It is clear that K is graded relative to the Λ × Z gradation.
Classification of Simple Lie Algebras on a Lattice
By Lemma 2.5, there exists a simple Lie algebra g, and a Λ/M gradation g = ⊕µ gµ of g such that L ≃ π∗g as a Λ-graded algebra.
Classification of Simple Lie Algebras on a Lattice
Let g be a simple Lie algebra and let F be an abelian group. A gradation g = ⊕α∈F gα of g is called simple if dim gα = 1 for any α ∈ F .
Classification of Simple Lie Algebras on a Lattice
The Lie algebra sl(n) does not admit admit a simple gradation for n > 3.
Classification of Simple Lie Algebras on a Lattice
Point (i): Set g = sp(4) and let g = ⊕α∈F gα be a simple gradation of g.
Classification of Simple Lie Algebras on a Lattice
Point (ii): Set g = sl(n), let g = ⊕α∈F gα be a simple gradation of g by a finite abelian group F .
Classification of Simple Lie Algebras on a Lattice
Unfortunately the data on K− p → ppS and p− p → K 0pS channels are not precise enough, with fine enough gradation, to be sure only the pole on the unphysical pS sheet below KN threshold is all that is required.
Exciting Baryons: now and in the future
Z2 -gradation on W (n): W (n)¯s := Mj≡s(mod 2) The Z2 -gradation of S (n), eS (n) and H (n) is inherited from W (n).
Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras
The enveloping algebra U (a) is naturally an a-module under x · a = [ x, a] where [ x, a] = xa − a x is the + -gradation.
On multigraded generalizations of Kirillov-Reshetikhin modules
In the next proposition we equip ∧ ja+ with the natural Zℓ + -gradation coming from that of a.
On multigraded generalizations of Kirillov-Reshetikhin modules
Note that V (z) has no ˆP -gradation but has a natural P -gradation.
On the affine analogue of Jack's and Macdonald's polynomials
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