In literature:
The auxiliary corps furnished by Austria and Prussia fell back almost unscathed.
"The Life of Napoleon I (Volumes, 1 and 2)" by John Holland Rose
At present these auxiliaries devoted to the cult do not represent any symbol.
"Là-bas" by J. K. Huysmans
Slowly there swung into view an ocean-going vessel under steam and auxiliary canvas.
"54-40 or Fight" by Emerson Hough
Let the king turn his face to his subjects, and let him send auxiliaries, even the troops of the king my lord.
"Patriarchal Palestine" by Archibald Henry Sayce
In the process of reclaiming the bogs, the potato was an essential auxiliary.
"The History of the Great Irish Famine of 1847 (3rd ed.) (1902)" by John O'Rourke
It has authorized the organization of native troops as auxiliary to the regular force.
"Messages and Papers of William McKinley V.2." by William McKinley
There are also Auxiliaries of the Church of England Zenana, of the South American, and of one or two other Missionary Societies.
"Showell's Dictionary of Birmingham" by Thomas T. Harman and Walter Showell
The Women's Army Auxiliary Corps is an official creation of this year.
"Women and War Work" by Helen Fraser
It is in trifles of this sort that the trapper should look for auxiliaries.
"The Art of Travel" by Francis Galton
At first dreaded as an instrument of foreign aggression, they are now understood to be the best of auxiliaries for national defence.
"The Awakening of China" by W.A.P. Martin
In his time no "host of auxiliaries" assisted the company.
"A Book of the Play" by Dutton Cook
As a stimulant and auxiliary in digestion it has been considered invaluable, especially in warm countries.
"The Commercial Products of the Vegetable Kingdom" by P. L. Simmonds
In fact nothing that was auxiliary to Slavery was relished by him.
"The Underground Railroad" by William Still
Eagerly these robber hordes engaged as auxiliaries of Davidovitch.
"The Empire of Russia" by John S. C. Abbott
Order, however, being re-established, we again set forward with what proved a useful auxiliary to our train.
"Traditions of Lancashire, Volume 1 (of 2)" by John Roby
Can, iv, 46, an auxiliary verb with preterite meaning; ix, 5, can=gan, began (Halliwell).
"Spenser's The Faerie Queene, Book I" by Edmund Spenser
Religion to them consists in the above operations, and in giving a sum to the Auxiliary.
"Robert Moffat" by David J. Deane
Spies are among the important auxiliaries of the king; and tact, diplomacy, prowess, chastisement, favour and cleverness lead to success.
"The Mahabharata of Krishna-Dwaipayana Vyasa, Volume 1"
The Lusitania was a British auxiliary cruiser, a man-of-war.
"New York Times Current History; The European War, Vol 2, No. 3, June, 1915" by Various
By taking a current lesson of one of the auxiliary organizations, illustrate the work done in a good review.
"Principles of Teaching" by Adam S. Bennion
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In poetry:
And, lo! athwart their ordered lines,
That strange auxiliary shines,
Who wears the bright long—flowing crest;
Weird warrior from another world,
Whose banner shortly will be furled,
Or waved in realms unguessed.
"Celestial Heights" by Alfred Austin
In news:
Members of James McDermott Unit 172 of the American Legion Auxiliary will meet Tuesday, Nov 27, at Manny's Kitchen, 834 W 11th St The meeting begins at noon.
Auxiliary contributes funds for hospital imaging tool.
A recent bake-and-book sale at Hillsboro Community Hospital raised $500 the Hillsboro Auxiliary club designated towards the purchase of a portable ultrasound machine.
The Gladbrook Jr Auxiliary met on Sat.
These hanging ornaments will be the favors at the Senior Citizens Dinner served by the Gladbrook Auxiliary on Dec 14th.
The Salvation Army Auxiliary invites patrons to "Step into Christmas" when it holds its 60th annual Christmas Luncheon and Fashion Show on Dec 4 at the Tulsa Convention Center.
People & Places: Salvation Army Auxiliary 's Christmas Luncheon, Fashion Show set for Dec 4.
On Monday, Oct 15, the Westfield Memorial Hospital Auxiliary Board tried a new fundraising venture.
Minutes of the meeting of the Callao Auxiliary .
Callao American Legion Argonne Post 360 and Auxiliary unit met on Nov 8 with a carry-in meal.
Southeastern Med Auxiliary recently sponsored its annual Wonderland of Trees gala at the Pritchard Laughlin Civic Center.
Defiance Eagles Auxiliary meets, discuss events.
Defiance Eagles 372 Auxiliary met recently with 11 members in attendance.
Floyd Valley Hospital Auxiliary candy making Nov 13, 2012.
Sales of homemade caramels, fudge and peanut clusters will help the Floyd Valley Hospital Auxiliary meet some needs of the Le Mars hospital.
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In science:
Notice, that whatever auxiliary gradation s we choose, Q(i) ⊂ g and we are working with ﬁnite dimensional Lie algebra.
Solutions to WDVV from generalized Drinfeld-Sokolov hierarchies
Consider ﬁrst homogeneous auxiliary gradation s = sh .
Solutions to WDVV from generalized Drinfeld-Sokolov hierarchies
Before representing the axioms how the queens stand in relation to each other, we ﬁrst deﬁne an auxiliary concept: namely the domain of a row or a column.
SLDNFA-system
The idea of performing an auxiliary randomization of n is a mainstay of statistical mechanics, known as the grand canonical ensemble.
Random matrix theory over finite fields: a survey
We discuss the initialization of an auxiliary register and present a generalized Deutsch-Jozsa algorithm that requires no initialization of an auxiliary register.
Quantum Algorithm for Generalized Deutsch-Jozsa Problem
We prepare two quantum registers, in which the ﬁrst n-qubit register called the control register is used to store the states we wish to interfere and the second m-qubit register called the auxiliary register is used to draw relative phase changes in the ﬁrst register.
Quantum Algorithm for Generalized Deutsch-Jozsa Problem
Therefore if we discard the auxiliary register and measure the control register, then we can determine whether f is nonconstant or not evenly distributed: If the outcome of the measurement is |0n i then f is not evenly distributed and otherwise f is nonconstant.
Quantum Algorithm for Generalized Deutsch-Jozsa Problem
The Deutsch-Jozsa and the generalized DeutschJozsa algorithms are identical except the initial states of the auxiliary registers.
Quantum Algorithm for Generalized Deutsch-Jozsa Problem
The difference between the initial states of the auxiliary registers is due to the procedure performing Rξ,f , which can be realized by Uf (I ⊗ F )(|xi⊗ |−ξ i) with the help of the auxiliary register.
Quantum Algorithm for Generalized Deutsch-Jozsa Problem
The f -dependent phase transform Rξ,f enables us to omit the auxiliary register in the description of quantum algorithms.
Quantum Algorithm for Generalized Deutsch-Jozsa Problem
In this process the auxiliary register is needed due to the nature of unitary evolution and all previously known quantum algorithms initialize the auxiliary register.
Quantum Algorithm for Generalized Deutsch-Jozsa Problem
We now demonstrate that a preexisting variant of the original Deutsch-Jozsa algorithm requires no initialization of the auxiliary one-qubit register, even though it was previously described with initialization of the auxiliary register.
Quantum Algorithm for Generalized Deutsch-Jozsa Problem
It is noted that this procedure carries out the desired f -dependent phase transform |xi 7→ (−1)f (x) |xi and recovers the initial state of the auxiliary register.
Quantum Algorithm for Generalized Deutsch-Jozsa Problem
If the auxiliary register is initialized then the procedure can be simpliﬁed.
Quantum Algorithm for Generalized Deutsch-Jozsa Problem
We assume that the states of the qubits composing the auxiliary register are separable.
Quantum Algorithm for Generalized Deutsch-Jozsa Problem
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