In literature:
One of the largest discoveries was made purely on a topographic basis.
"The Economic Aspect of Geology" by C. K. Leith
The latter is the basis and the ideal of the former.
"Progress and History" by Various
They began to talk of impeachment in 1866, but could find no basis for it.
"The New Nation" by Frederic L. Paxson
The monasteries adopted courses of study which, however incomplete, were efficiently carried out, and formed the basis of future courses.
"History of Education" by Levi Seeley
Mr. BROOKS: How exclude them, when Chinese are to be included in the basis of representation?
"History of Woman Suffrage, Volume II"
A chain of command is not created by the subdivision of the officer corps into grades on a basis of relative rank.
"Sound Military Decision" by U.s. Naval War College
All attempts to find some basis for their political unification, however, miscarried.
"The Story of the Great War, Volume I (of 8)" by Various
Is popular sovereignty a practicable basis of personal freedom, or does it open an avenue to the tyranny of the mob?
"Liberalism" by L. T. Hobhouse
The Instinctive Basis of Assimilation.
"Introduction to the Science of Sociology" by Robert E. Park
The quotations are on the pound and cents basis.
"All About Coffee" by William H. Ukers
These expectations might have been realized had the State carried on enterprises on a less extensive and more economical basis.
"The Railroad Question" by William Larrabee
However, it is usually coquetry in all its degrees which furnishes woman with the basis for her advances.
"The Sexual Question" by August Forel
On the basis, therefore, of a cotton crop of 10,000,000 bales of 500 lb.
"Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 5" by Various
It set up a unicameral parliament, which was to be elected on the basis of universal suffrage; the parliament was to control the executive.
"Area Handbook for Bulgaria" by Eugene K. Keefe, Violeta D. Baluyut, William Giloane, Anne K. Long, James M. Moore, and Neda A. Walpole
He works upon the basis of a definite covenant by which God is bound as well as himself.
"St. Paul's Epistle to the Romans, Vol. I" by Charles Gore
The basis for Romanian seems to be the Vulgar Latin of ancient Rome.
"Area Handbook for Romania" by Eugene K. Keefe, Donald W. Bernier, Lyle E. Brenneman, William Giloane, James M. Moore, and Neda A. Walpole
The basis of the action is his employer's negligence.
"Putnam's Handy Law Book for the Layman" by Albert Sidney Bolles
And what could that basis be but the divine plan?
"The Religion of Geology and Its Connected Sciences" by Edward Hitchcock
His utopianism remained, however, upon the older basis.
"Socialism and Democracy in Europe" by Samuel P. Orth
It is a moral suasion Temperance Society on the teetotal basis.
"History of American Socialisms" by John Humphrey Noyes
***
In poetry:
He who spread forth the arch of heaven,
And bade the planets roll,
Who laid the basis of the earth,
And form'd the human soul,—
"Hymn VI. Behold! th' Ambassador Divine" by John Logan
Their rock-bound cities, whose proud basis
Seemed all impervious to decay,
Time's mighty besum, that erases
The pride of man, has swept away.
"Admonition" by James Madison Bell
The virtuous mind Nor wave nor wind,
Nor civil rage, nor tyrant's frown,
The shaken ball, Nor planet's fall,
From its firm basis can dethrone.
"Ocean: An Ode. Concluding With A Wish." by Edward Young
But will sincerity suffice?
It is indeed above all price,
And must be made the basis;
But every virtue of the soul
Must constitute the charming whole,
All shining in their places.
"Friendship" by William Cowper
To all the world I give my hand—
My heart is with that noble band,
The Washingtonian Brothers.
God speed and prosper every plan
Whose basis is the good of man,
But this before all others.
"Washingtonian Song" by John Pierpont
Some look'd at his hoofs, and with learned grimaces,
Pronounc'd that too long without shoes he had gone —
"Let the blacksmith provide him a sound metal basis
(The wise-acres said), and he's sure to jog on."
"The Donkey and His Panniers" by Thomas Moore
In news:
A federal judge yesterday threw out a federal scientific study that forms the basis for protecting the delta smelt in California's sprawling Sacramento-San Joaquin River Delta.
Cleansing the liver and gallbladder dramatically improves digestion, which is the basis of your whole health.
Gallup has suspended polling for its daily tracking as of Monday night and will reassess on a day-to-day basis.
The systems are available in standard sloped and ridge styles with all wiring built into framing channels, and are configured on a per-project basis.
Andy Geiger , the former athletic director at Ohio State University, will be paid $215,000 a year to take over on a limited-term basis the job of athletic director at the University of Wisconsin-Milwaukee.
The Department of Health and Human Services (HHS) has confirmed that the Patient Protection and Affordable Care Act (ACA) protects against discrimination on the basis of gender identity .
Novel Solutions for Scientists Researching the Genetic Basis of Human Diseases.
Her money will grow sluggishly at best, and perhaps not at all on an inflation-adjusted basis.
Susann Pinter, SIU Department of Geology Was there a scientific basis for the trances and visions of the Oracle of Delphi.
"Either geometry is innate but doesn't emerge until around age 7 or geometry is learned but must be acquired on the basis of general experiences with space, such as the ways our bodies move," Izard says.
The once-mighty triangle of publisher-audience-advertiser, long the basis for success in the media business, is now shaky.
New Hope Community Church will give away food baskets Monday on a first-come, first-served basis from 8 to 11 a.m.
Join Lynn Allen as she shows you how to use an image or a block as the basis for a hatch pattern using the powerful Express Tool SuperHatch.
On a daily basis, I champion the rights of Freedom of Speech and Freedom of the Press, but one right, to me, transcends all others, the Right to Vote.
MIDDLESEX — The basis of an environmental court appeal by neighbors of a proposed seven-bed psychiatric facility relates to town land-use regulations, and state officials plan to discuss the issue today.
***
In science:
Clearly, a Groebner basis must have ‘small’ elements so that division is possible and every element of the ideal when divided by the Groebner basis elements leaves zero remainder, i.e. every element modulo the Groebner basis reduces to zero.
Algebraic approach to time-delay data analysis for LISA
If condition 2) is true with respect to one basis, then it is true with respect to every basis.
Quantum Hidden Subgroup Problems: A Mathematical Perspective
Kashiwara and Lusztig have discovered a distinguished basis of U − q (g) which pro jects onto a global crystal basis (Kashiwara) or canonical basis (Lusztig) of each simple ﬁnite-dimensional Uq (g)-module.
An algorithm for computing the global basis of an irreducible $U_{q}(sp_{2n})$-module
When q tends to 1 this basis yields in particular a canonical basis of the corresponding U (g)-module.
An algorithm for computing the global basis of an irreducible $U_{q}(sp_{2n})$-module
This basis is the specialization at q = 1 of the dual of the canonical basis.
An algorithm for computing the global basis of an irreducible $U_{q}(sp_{2n})$-module
Then we give explicit formulas for the expansion of the global crystal basis of V (Λp ) on the basis {vC }.
An algorithm for computing the global basis of an irreducible $U_{q}(sp_{2n})$-module
Then we obtain an intermediate basis of V (λ) ﬁxed by the involution q 7−→ q−1 and such that the transition matrix from this basis to the global crystal basis of V (λ) is unitriangular.
An algorithm for computing the global basis of an irreducible $U_{q}(sp_{2n})$-module
Finally we compute the expansion of the canonical basis on the basis {vτ } via an elementary algorithm.
An algorithm for computing the global basis of an irreducible $U_{q}(sp_{2n})$-module
In this section we brieﬂy review the basic facts that we shall need concerning the representation theory of Uq (sp2n ) and the notions of crystal basis and canonical basis of a Uq (sp2n )-module.
An algorithm for computing the global basis of an irreducible $U_{q}(sp_{2n})$-module
This basis is called the lower global (or canonical) basis of V (λ), and our aim is to calculate it.
An algorithm for computing the global basis of an irreducible $U_{q}(sp_{2n})$-module
So, using Marsh’s algorithm, we will be able to expand the canonical basis of V (Λp ) on this basis.
An algorithm for computing the global basis of an irreducible $U_{q}(sp_{2n})$-module
Moreover the basis {vC } is then the canonical basis and the crystal basis of E+ k because the fundamental modules of Uq (sln ) are minuscule.
An algorithm for computing the global basis of an irreducible $U_{q}(sp_{2n})$-module
The aim of this section is to describe an algorithm computing the decomposition of the canonical basis {G(T ); T ∈ ST(n, λ)} onto the basis {vτ ; τ ∈ T(n, λ)} of W (λ).
An algorithm for computing the global basis of an irreducible $U_{q}(sp_{2n})$-module
G(T ) = XS∈ST (n,λ) the expansion of the basis {G(T )} on the basis {A(T )}.
An algorithm for computing the global basis of an irreducible $U_{q}(sp_{2n})$-module
By construction of A(T ), it is possible to write the basis {A(T )} in terms of the basis {vτ }.
An algorithm for computing the global basis of an irreducible $U_{q}(sp_{2n})$-module
***