Under-grade

Definitions

  • Chambers's Twentieth Century Dictionary
    • adj Under-grade un′dėr-grād in bridge-building, having the truss below the roadway, as in a deck-bridge.
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Usage

In literature:

This school is graded, and under the management of the chaplain, who is an excellent instructor, is a great blessing to the prisoners.
"The Twin Hells" by John N. Reynolds
Under their dropped lids his eyes found the tiny bow of the leather headband inside his high grade ha.
"Ulysses" by James Joyce
His father was a soldier who rose from the ranks until, under Napoleon, he reached the grade of general.
"Famous Affinities of History, Vol 1-4, Complete" by Lyndon Orr
Under these regulations it is illegal to import into this country a coffee that grades below a No.
"All About Coffee" by William H. Ukers
If the available grade is small, this drain may be laid in two lines directly under the cellar floor as shown in Fig.
"Rural Hygiene" by Henry N. Ogden
Under the late treaty with Mexico, we have made citizens of all grades, combinations, and colors.
"Report of the Decision of the Supreme Court of the United States, and the Opinions of the Judges Thereof, in the Case of Dred Scott versus John F.A. Sandford" by Benjamin C. Howard
The social element should be employed under careful supervision, but always with the Senior Grade alone.
"Seven Graded Sunday Schools" by Various
Subdivisions are marked with a prefixed +; those under this head with ++; and those under this with =, if there be so many grades.
"The Elements of Botany" by Asa Gray
It is a sixty-mile grade, the ballast of slag, and the sweetest, springiest bed under steel.
"The Nerve of Foley" by Frank H. Spearman
Usually if prime, the under size will only put the skin down one grade.
"Deadfalls and Snares" by A. R. (Arthur Robert) Harding
The oil is found in the market under three different grades: (1) Cochin cocoanut oil, the choicest oil comes from Cochin (Malabar).
"Soap-Making Manual" by E. G. Thomssen
Usually if prime, the under size will only put the skin down one grade.
"Steel Traps" by A. R. (Arthur Robert) Harding
The work of grading the grounds was completed under superintendence of W. Irving.
"The Court Houses of a Century" by Kenneth W. McKay
Under many of the state banking laws the grades are very numerous.
"Readings in Money and Banking" by Chester Arthur Phillips
The grading was handled by the County grading forces under the supervision of the Highway Department.
"Third Biennial Report of the Oregon State Highway Commission" by S. Benson, W. L. Thompson, R. A. Booth, Herbert Nunn
As to the particular form of the lower grade crepe rubber, one may apply the remarks made under the section dealing with the best grades.
"The Preparation of Plantation Rubber" by Sidney Morgan
In the graded schools children are parcelled out in numbers ranging from forty to sixty in one room, and put under the charge of one teacher.
"Insanity" by Henry Putnam Stearns
Under each grade will be given the specific names used by the three manufacturers.
"Library Bookbinding" by Arthur Low Bailey
The first two grades are tombs in the church and under the porch; they cost a pretty penny.
"Short Stories" by Fiodor Dostoievski
A second expedition was also despatched to Paraguay under the command of Don Manuel Belgrano, who received the grade of general.
"Ponce de Leon" by William Pilling
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In news:

Ohio 3rd-graders who can't read at grade level could be held back under Gov John Kasich's plan.
COLUMBUS, Ohio — Third-graders who are not reading at grade level would be held back a year under a midterm budget plan Gov John Kasich will announce today.
The fourth-grade teacher from Miller Place, outside New York City, heard from dozens of grateful parents, teachers and librarians after he self-published his "Sweet Farts " in 2008 under the name Raymond Bean.
Grades of Students Who Pirate Textbooks Would Be Docked Under Prof's Plan.
Apple Run (grades 5 and under).
State also is graded under A-F system.
Ohio schools would receive their own A through F grades under a bill creating a new state performance ranking system that is now headed to the governor.
Two of Oklahoma's 526 school districts received an "F" grade under the state's new grading system.
Data from 700,000 high school students shows a slight drop in graduation rates under Michigan's Merit Curriculum for those entering ninth grade with weak academic skills.
Ohio schools face new grading system under proposed legislation.
Ohio schools would receive their own A through F grades under a bill creating a new state performance ranking system that is now headed to the governor .
The leaner, greener school lunches served under new federal standards are getting mixed grades from students.
The fifth and sixth grade band, under the direction of Mr Weidner, will begin the program.
Fewer schools risk state intervention and all schools will get more information under Minnesota's new grading system.
Godolphin Racing's Buffum quickly moved to the front at the start of Belmont Park's Grade 3, $150,000 Bold Ruler Handicap on Saturday and held to score by 1 1/4 lengths under jockey Eddie Castro.
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In science:

The underlying graded vector space of any Hopf P -algebra is endowed with two different structures of Hopf algebra.
From left modules to algebras over an operad: application to combinatorial Hopf algebras
In this section, We prove that the underlying graded vector space of a Hopf P -algebra is a unital infinitesimal P -bialgebra (theorem 4.1.2).
From left modules to algebras over an operad: application to combinatorial Hopf algebras
It is the underlying graded vector space of the operad As and Case 1 applies.
From left modules to algebras over an operad: application to combinatorial Hopf algebras
In the standard field theory, ψ (4) is a set of Z2 -graded fields over spacetime M (4) , the Dirac field for fermions, the Yang-Mills field for gauge bosons and other field under consideration.
Structure behind Mechanics I: Foundation
In this case the local cohomology module H i+1 B (P ) is Zd+e -graded, too, and under the isomorphism in Proposition 1.3 this finer decomposition of H i+1 B (P ) corresponds to the eigenspace decomposition of the Zariski cohomology of the different twists ]P (α).
Vanishing Theorems on Toric Varieties
The graded algebra ⊕n ∧n (Ω1 X {D}) is closed under exterior d.
A formula for Gau{\ss}-Manin determinants
Indeed, since T is graded, the degeneracy locus of this pairing in the k-space is invariant under dilations.
On m-quasiinvariants of Coxeter groups
Initiated by this work, the following general question arose: Under which conditions does a standard graded Artinian K -algebra A admit the weak (strong) Lefschetz property? During the last twenty years, this question has been studied by several authors (see e.g. [B], [Ha], [HMNW], [Ia], [Ik], [S2], [W1], [W2]).
The Lefschetz Property for Componentwise Linear Ideals and Gotzmann Ideals
Let H be the underlying graded abelian group of the noncommutative polynomial algebra Zhx, y i, where x and y both have degree 1.
Quasi-symmetric functions and mod p multiple harmonic sums
By abuse of notation, we will often call chain-complexes nearly free if their underlying modules are (when one ignores grading).
Cofree coalgebras over operads II Homology invariance
These chain-complexes are allowed to extend into arbitrarily many negative dimensions and have underlying graded R-modules that are • arbitrary if R is a field (but they will be free) • nearly free, in the sense of definition 2.1, if R = Z.
Cofree coalgebras over operads II Homology invariance
When the underlying stack is smooth, the graded group ⊕An Q has a commutative ring structure.
Moduli of twisted sheaves
Not all properties preserved under Morita equivalence are preserved under equivalences of graded categories — notably, [Z] gives an example of Z-graded rings A and B with gr-A ≃ gr-B , where A is gr-simple and prime and B is neither.
G-algebras, twistings, and equivalences of graded categories
We also give an example showing that the property of having a graded semisimple graded Artinian graded quotient ring is not in general preserved under equivalences of graded module categories.
G-algebras, twistings, and equivalences of graded categories
Remark: There are results describing the conditions under which equivalences of graded module categories commute with shifting; see [BeR, GG].
G-algebras, twistings, and equivalences of graded categories
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