In literature:
They walked quite rapidly up the path, making a turn that gave them a very steep ascent.
"Adrift in the Wilds" by Edward S. Ellis
The ascent now became gradual, and before the day was spent they arrived at Sheep Camp, on the edge of the timber.
"Klondike Nuggets" by E. S. Ellis
Before he started to make the ascent he first stuffed cotton in his ears.
"Tales of Giants from Brazil" by Elsie Spicer Eells
I returned for Modestine, pushed her briskly forward, and, after a sharp ascent of twenty minutes, reached the edge of a plateau.
"The Works of Robert Louis Stevenson - Swanston Edition" by Robert Louis Stevenson
THE GRAND ASCENT BEGUN.
"Rivers of Ice" by R.M. Ballantyne
Such was the order of march in which we commenced the ascent of Hayes River.
"Hudson Bay" by R.M. Ballantyne
The ascent was extremely difficult, and it took the troops six hours to reach the summit.
"For Name and Fame" by G. A. Henty
Given good muscles and wind, the other requisites for an ascent of the Mountain are a competent guide and grit.
"The Mountain that was 'God'" by John H. Williams
Most of the way we were dismounted, but still the horses and camels were greatly distressed by the effort of the ascent.
"Byeways in Palestine" by James Finn
An ascent to the Kala Ardeshir well repays the trouble of getting there.
"Across Coveted Lands" by Arnold Henry Savage Landor
Now it would be mere folly to attempt their ascent.
"In the Forbidden Land" by Arnold Henry Savage Landor
They were rounding the big boulder and beginning the short ascent to the cabin.
"Peak and Prairie" by Anna Fuller
The exceptions, reaching to the plain, afford steep and perilous ascents to the level above.
"Blazed Trail Stories" by Stewart Edward White
The line of ascent picked out by her practised eye proved unexpectedly easy.
"Bloom of Cactus" by Robert Ames Bennet
But this balloon of Eloy's was a small exhibition balloon, made for short ascents from fetes and fair grounds.
"The Book of the Damned" by Charles Fort
The descent was more difficult than the ascent, owing to the slippery nature of the rock.
"Across Unknown South America" by Arnold Henry Savage Landor
The ascent was steep and difficult, so unbroken was the undergrowth, except where jagged and pitted rocks rose grayly on the slope.
"As It Was in the Beginning" by Philip Verrill Mighels
When the light gleamed again, he was ready; and the moment it went out, he glided forward to the cliff, and commenced his ascent.
"The War Trail" by Mayne Reid
After traversing a comparatively level country for some miles, the road entered a mountainous region, where there was a long ascent.
"Rollo in Rome" by Jacob Abbott
ASCENT OF THE JAMES RIVER, 1607.
"Southern Literature From 1579-1895" by Louise Manly
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In poetry:
My first ascent I may not tell;
Enough to know that in that well
My first high aspirations fell.
Avitor!
"Avitor" by Francis Bret Harte
Who climbs till nerve and force are spent,
With many a puff and pant:
Who still, as rises the ascent,
In language grows more violent,
Although in breath more scant:
"Phantasmagoria Canto VI ( Dyscomfyture )" by Lewis Carroll
It blessed strong, trembling shoulders bent:
Helped many a soul in thrall
To climb again the steep ascent,
And reft the grim entanglement
That brought about the fall.
"The Church upon the Hill" by John O Brien
O'er the high precipice unmov'd she bent,
A fearful path the beams of morning shew;
The pilgrim reach'd with toil the rude ascent,
And saw her brooding o'er the deep below.
"Euphelia" by Helen Maria Williams
What time Iberia, gash'd with many a scar,
Braved the fierce Gaul, in fervour uncontroll'd,
Though doubts and fears bedimm'd her struggling star,
Its bright ascent thy prescient soul foretold.
"Sheridan" by Thomas Gent
The mild inquiry of his gaze
Was altered to a peaked amaze,
At sight of thirty in ascent,
To gain his notice clearly bent:
And greatly Jane at heart was vexed
By his ploughed look of mind perplexed.
"Jump-To-Glory Jane" by George Meredith
In news:
The US National Intelligence Council predicts China's ascent as the world's top.
Balloon went for two ascents on Thursday, one of about one-quarter mile, and 75 feet, and this one which was tethered JAMES A JONES JR./BRADENTON HERALD Buy Photo.
Balloon went for two ascents on Thursday, one of about one-quarter mile, and 75 feet, and this one which was tethered JAMES A JONES JR./BRADENTON HERALD.
Among the more startling revelations in William J Mann's engrossing chronicle of Barbra Streisand's ascent to superstardom emerges in one of the book's photos.
Chad Jukes steadies himself along the ascent of Owens-Spaulding route of the Grand Teton.
The ascent of the International Contemporary Ensemble.
The ascent solidifies Mr Cue 's role as one of the chief deputies to Mr Cook, who has surrounded himself with several close advisers without elevating one to a clear number two.
The subject's ascent stems from its emphasis in the common core, feedback from colleges and the workplace, and emerging research.
Extreme athlete Felix Baumgartner started his daring ascent to 23 miles above Earth on Sunday, hoping to make a death-defying free fall that could make him the first skydiver to break the sound barrier.
"It's a matter of finding out the particulars to determine if it will work or not," said Teresa Treiger, RN, principal at Ascent Care Management in Holbrook, Mass.
Pikes Peak Ascent – Manitou Springs, Co. For 57 years people have been racing up Pikes Peak, and it might take at least that long before someone breaks Kim Dobson 's new course record.
Kim Dobson shatters women's record at Pikes Peak Ascent.
At every checkpoint of the Pikes Peak Ascent, Kim Dobson would look at her watch and not believe how fast her time was.
Yet there's one thing that may stop, or at least slow, Android's ascent: patent fights.
Saints hope Sunday marks beginning of ascent up Everest -sized mountain.
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In science:
The rightmost chain in Figure 2 consists entirely of honest ascents, even in light of all the saturated chains in the interval rather than only those depicted in Figure 2.
Lexicographic shellability for balanced complexes
Case Ia: If B = B ′ , then we will show that π(C ) must either have an honest descent or a swap ascent within the interval.
Lexicographic shellability for balanced complexes
Before this happens, there will be a descent or swap ascent since this later step will have a lexicographically smaller label than any step before it in the interval.
Lexicographic shellability for balanced complexes
In this case, there must either be a swap ascent in B immediately before b′ is split off on its own, or there must be a descent if there are steps splitting B , then splitting another block, then later splitting a block derived from B to create b′ .
Lexicographic shellability for balanced complexes
B ′ which is not the leftmost descendent, there still will be a swap ascent or a descent.
Lexicographic shellability for balanced complexes
Hence, blocks of both types must be split in any saturated chain orbit in the interval, yielding a descent or swap ascent in π(C ) eventually, since the block B ′ is sorted to the left of B when it is split.
Lexicographic shellability for balanced complexes
Otherwise, any intermediate steps will have larger labels, and the chain must have a descent (or swap ascent) by similar reasoning to above.
Lexicographic shellability for balanced complexes
We may also assume Fk consists entirely of topological ascents on the interval from rank r to s.
Lexicographic shellability for balanced complexes
Then we use the topological ascents and descents of the lexicographic order of Section 4 to extend and merge these link subcomplex partitionings into a partitioning for ∆(Πn )/Sn .
Lexicographic shellability for balanced complexes
Thus, the next theorem requires that we show there are no shelling steps that begin with entirely (topological) ascents and then consist entirely of (topological) descents as soon as the ﬁrst (topological) descent occurs; we must also check a similar condition for the non-shelling steps.
Lexicographic shellability for balanced complexes
This necessitates the existence of a (topological) ascent at some point after the ﬁrst (topological) descent, as in Figure 10, so we are done with the shelling steps.
Lexicographic shellability for balanced complexes
Additionally we establish a Beurling-Pollard theorem for weighted Fourier algebras and use it to obtain ascent estimates for operators that are functions of generalized scalar operators.
Beurling-Pollard type theorems
In the last section we apply the results of Section 5 to obtain estimates of the ascent for operators that are expressed as functions of commuting generalized scalar operators.
Beurling-Pollard type theorems
Now we apply the results of Section 5 to the study of ascent of some operators on Banach spaces and, in particular, elementary operators on Banach algebras.
Beurling-Pollard type theorems
For a linear operator ∆ on X we will mean by the ascent, asc ∆, of ∆ the least positive integer such that ker ∆m = ker ∆m+1 .
Beurling-Pollard type theorems
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