In literature:
Expansion landward has no attraction in comparison with the seaward expansion of commerce.
"Influences of Geographic Environment" by Ellen Churchill Semple
The sun resting on the rim of the prairie cast over the vast expanse of grass a flood of light.
"The Great Lone Land" by W. F. Butler
And they saw that it was vast, and wide as the expanse of space, unfathomable, and limitless, and the grand reservoir of water.
"The Mahabharata of Krishna-Dwaipayana Vyasa, Volume 1"
The country was bursting with commercial expansion; it was lusty with the infusion of strong blood from Europe.
"Children of the Market Place" by Edgar Lee Masters
What the world most needs at such a moment of expansion and rebellion, is a redefining of its ideals.
"Preaching and Paganism" by Albert Parker Fitch
On its eastern frontier Elam was also panting for expansion.
"Myths of Babylonia and Assyria" by Donald A. Mackenzie
The poet only desires exaltation and expansion, a world to stretch himself in.
"Orthodoxy" by G. K. Chesterton
Discuss the significance of American expansion to the Pacific Ocean.
"History of the United States" by Charles A. Beard and Mary R. Beard
The expansion of the Commonwealth has taken place to a great extent during the reign of Queen Victoria.
"Queen Victoria" by E. Gordon Browne
During this last day, beyond the expanse of sandy waves through which we swam, as it were, had risen ahead some very conspicuous mountains.
"Narrative of a Mission to Central Africa Performed in the Years 1850-51, Volume 1" by James Richardson
When they reached his cabin, the handsome blond German, whose eyes came of the same stock as the mariner's at the wheel, became more expansive.
"Atlantis" by Gerhart Hauptmann
Yes; if the pressure is not regularly maintained, the fluctuations of temperature cause constant contraction and expansion to take place.
"The Traveling Engineers' Association" by Anonymous
Not in all the expanse was there visible a moving object nor track of any kind.
"Molly McDonald" by Randall Parrish
By increasing the length of the lap we increase the range of expansive working.
"How it Works" by Archibald Williams
At length, the shore suddenly widened, and he looked across a vast expanse of glaring snow.
"The Wilderness Trail" by Frank Williams
Standing upon the powerful frame which he had built up, he paused again to survey the wide expanse.
"Toilers of the Sea" by Victor Hugo
It was early morning, yet the sun was already hot upon the smooth expanse of the lava flow.
"Brood of the Dark Moon" by Charles Willard Diffin
It was in this period that Bulgaria reached the peak of its territorial expansion, penetrating deep into the Byzantine Empire.
"Area Handbook for Bulgaria" by Eugene K. Keefe, Violeta D. Baluyut, William Giloane, Anne K. Long, James M. Moore, and Neda A. Walpole
They are propelled by a set of triple expansion engines of 1200 i.h.p., with two return-tube boilers having a working pressure of 160 lb.
"Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 7" by Various
Next we have the production of Sar or Iloar and Kisar, representing the expanse or firmament.
"The Origin of the World According to Revelation and Science" by John William Dawson
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In poetry:
In limitless expanses
Are headlands burning bright.
In basements and in cellars
The stokers work all night.
"Night" by Boris Pasternak
Thus he nears, and now all Tempe
Rings with his melodious cry,
Avenues and blue expanses
Beam in his large lustrous eye!
"Daphne" by George Meredith
Hush! hush! through the azure expanse of the sky
Comes a low, gentle sound, 'twixt a laugh and a sigh;
And I rise from my writing, and look up on high,
And I kneel, for the first of God's angels is nigh!
"The First Of The Angels" by Denis Florence MacCarthy
Then she replied: Oh curious prying minds,
Take this my other fatal urn,
Which my own hand may not unclose;
Over the wide expanse of earth,
Wander ye still,
Search for and visit all the various kingdoms.
"The Heroic Enthusiasts - Part The Second =Fifth Dialogue=." by Giordano Bruno
O bubbles, bubbles, o foam, foam
are all our care, all our grief,
yes foam on measureless expanses, bubbles on the ocean
is that which we chase and cherish and fear,
but Joy, Joy is the world's foundation.
"Morning Song" by Karin Boye
He had laid business on the shelf
To give his taste expansion,
And, since no man, retired with pelf,
The building mania can shun, Knott, being middle-aged himself,
Resolved to build (unhappy elf!)
A mediaeval mansion.
"The Unhappy Lot Of Mr. Knott" by James Russell Lowell
In news:
Bessemer 's Dayjon Inc to create 50 jobs in $2.8 million expansion.
Cleveland will play a key role in a significant expansion of e-book lending.
Medicaid Expansion Under The Microscope.
Former Arizona Governor Who Pushed Hard for Expansion Resigns from Board.
Research expansion is welcome news.
Legislation pending in Albany could allow for the expansion of the Niagara Wine Trail, and help grow small business in the region.
Global expansion can force odd changes in brand name pronunciation.
SAVANNAH — A machine company has announced plans for an expansion of its Savannah facility that is expected to add up to 200 jobs.
Plant expansion helped firm sell outside state.
I was prepared to talk expansion.
P&G To Freeze Further Expansion in Emerging Markets.
NYU Faculty, Preservationists Sue University Over Greenwich Village Expansion.
Harold Wagenknecht took over Rosler Metal Finishing USA two years ago and has orchestrated the very successful expansion of its Battle Creek, Mich. Products Finishing Digital Dispatch.
Third facility will facilitate expansion of services.
Under the direction of Dr Patrick O'Shaughnessy, this small anti-aging center offers a surprisingly expansive menu.
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In science:
This is veriﬁed by using the fact that such solutions have in any case for ǫ > 0 suﬃciently small an expansion on {|λ| < ǫ} \ −i[0, ∞) in fractional (possibly negative) powers of λ, and then one calculates the expansions by the method of undetermined coeﬃcients.
A law of large numbers for finite-range dependent random matrices
On the set where |y | ≤ nη , we derive uniform convergence of the integrand, using appropriate expansions in the local central limit theorem and an expansion in the determinant.
Ordered random walks
In ’t Hooft proposed to reformulate the gauge theory perturbative expansion in terms of a topological expansion with the parameter of expansion given by 1/N , the inverse rank of the gauge group.
Random walks in N = 4 Super Yang-Mills
We ﬁrst examine the commutativity and associat ivity of the deﬁning operator product expansion, and a neat (rigorous) argument is presented for the necessity of introducing an S-type operator in this expansion, anticommuting with the simple current modes when 4h p′−1,1 is odd.
The Extended Algebra of the Minimal Models
This is a ﬁeld of conformal dimension 2 whose operator product expansion with itself is easily read off from the operator product expansions (1.3), (1.14) and (A.1).
The Extended Algebra of the Minimal Models
There are potentials for which the Wigner-Kirkwood expansion is a limited Taylor expansion in λ2 : divergence of an expansion coeﬃcient indicates a loss of analyticity of the corresponding and higher-order quantum corrections.
Wigner-Kirkwood expansion for semi-infinite quantum fluids
This expansion is subsequently used in section 4 for the generation of the expansion for statistical quantities, such as the partition function and the corresponding surface part of the free energy, one-body and two-body densities.
Wigner-Kirkwood expansion for semi-infinite quantum fluids
It is important to note that the general applicability of the Wigner-Kirkwood expansion scheme depends on the particular form of the interaction potential V ; a divergence of The ﬁrst term on the rhs of (2.23) does not give any contribution to h ~2 V i indicates a non-analytic λ2 -expansion of the free energy.
Wigner-Kirkwood expansion for semi-infinite quantum fluids
The q - adic expansion of ρ together with the above remark on the trace of ν · µj shows that the ﬁrst p − 2 terms in the q adic expansion of ∆ = TrK/Q (δ) ∈ Z vanish.
A Cylcotomic Investigation of the Fermat - Catalan Equation
Each loop also increases the chiral dimension, i.e. the loopwise expansion corresponds with the chiral expansion.
Introduction to Chiral Perturbation Theory
It requires three graphs and also controls the resulting spectral expansion in terms of the spectral expansions of the three components.
Generalized zig-zag products of regular digraphs and bounds on their spectral expansions
Some might think that for PDF-s with such a property an expansion in terms of the cumulants should not work since all terms are of the same order with respect of the expansion parameter, p.
Diffusion Processes on Small-World Networks with Distance-Dependent Random-Links
As long as the higher-order diagrams are higher order in the expansion parameter (p or q) the perturbation expansion works.
Diffusion Processes on Small-World Networks with Distance-Dependent Random-Links
In lower dimensions, d ≤ 2, the failure of the selfconsistent perturbation expansion in terms of the expansion parameter p is due to the fact that diagrams with multiple scatterings off a single link (i.e. diagrams with only one cumulant in them) contribute with the same weight, p, to the self-energy.
Diffusion Processes on Small-World Networks with Distance-Dependent Random-Links
The fact that the perturbation expansion works in two dimensions raises the possibility of an ǫ-expansion for d = 2−ǫ which was studied in .
Diffusion Processes on Small-World Networks with Distance-Dependent Random-Links
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