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1. A stage or degree in a process.
2. A position in a scale of size, quality, or intensity: a poor grade of lumber.
3. An accepted level or standard.
4. A set of persons or things all falling in the same specified limits; a class.
a. A level of academic development in an elementary, middle, or secondary school: learned fractions in the fourth grade.
b. A group of students at such a level: The third grade has recess at 10:30.
c. grades Elementary school.
6. A number, letter, or symbol indicating a student's level of accomplishment: a passing grade in history.
7. A military, naval, or civil service rank.
8. The degree of inclination of a slope, road, or other surface: the steep grade of the mountain road.
9. A slope or gradual inclination, especially of a road or railroad track: slowed the truck when he approached the grade.
10. The level at which the ground surface meets the foundation of a building.
11. A domestic animal produced by crossbreeding one of purebred stock with one of ordinary stock.
12. Linguistics A degree of ablaut.
v. grad·ed, grad·ing, grades
1. To arrange in grades; sort or classify: How is motor oil graded?
a. To determine the quality of (academic work, for example); evaluate: graded the book reports.
b. To give a grade to (a student, for example).
3. To level or smooth to a desired or horizontal gradient: bulldozers graded the road.
4. To gradate.
5. To improve the quality of (livestock) by crossbreeding with purebred stock.
To change or progress gradually: piles of gravel that grade from coarse to fine.

[French, from Latin gradus; see ghredh- in Indo-European roots.]

grad′a·ble adj.


forming part of a series of things that gradually increase or decrease in standard, value, difficulty, etc(of a road) levelled off so that it is less steep
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adj.1.graded - arranged in a sequence of grades or ranks; "stratified areas of the distribution"
hierarchal, hierarchic, hierarchical - classified according to various criteria into successive levels or layers; "it has been said that only a hierarchical society with a leisure class at the top can produce works of art"; "in her hierarchical set of values honesty comes first"


[ˈgreɪdɪd] ADJgraduado
References in periodicals archive ?
It considers C*-algebras from the perspective of partial actions and describes a graded algebra as a partial crossed product, tools to study it, and Fell bundles, looking at these bundlesAE internal structure and ways they may be reassembled to form a C*-algebra, presenting the result that every separable Fell bundle with stable unit fiber algebra must arise as the semi-direct product bundle for a partial action of the base group on its unit fiber algebra.
Futhermore the alphabet doubling trick defines a graded algebra morphism on a free algebra which endows it with a compatible coproduct, that is a Hopf algebra structure.
Let us mention that if [OMEGA] is a graded differential algebra, then Ker d is the graded unital subalgebra of [OMEGA], whereas Im d is the graded two-sided ideal of Ker d, so the cohomology H([OMEGA]) is the unital associative graded algebra.
It is also shown that if both Rota-Baxter operators coincide with each other and the curvature is A-bilinear, then the (modified by R) Hochschild cohomology ring over A is a curved differential graded algebra.
The first property involves that we can consider the coordinate algebra of the arc space as a graded algebra and especially we can try to compute its corresponding Hilbert-Poincare series.
On the other hand, if the value of the counit on the chosen element is one (such an element is called a base point and the pair: coring and element is termed a based coring), then another semi-free curved differential graded algebra can be constructed.
Let R be a positively graded algebra and G be a finite group of grading preserving automorphisms of R.
This conjecture was confirmed by results of Shan, Varagnolo and Vasserot in [SVV11], in which they introduce and use a family of graded algebras, by showing that categories of modules over these algebras are equivalent to categories of modules over affine Hecke algebras of type D.
It cover tori in Hamiltonians and Melikian algebras, 1-sections, sandwich elements and rigid tori, towards graded algebras, and the toral rank two case.
Then Khovanov-Lauda and Rouquier introduced independently a new family of graded algebras, a generalization of affine Hecke algebras of type A, in order to categorify arbitrary quantum groups ([6,7,11]).