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Page "Duocylinder" ¶ 11
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ridge and duocylinder
The ridge of the duocylinder is the 2-manifold that is the boundary between the two bounding tori.

ridge and may
In many British accents ( e. g. Cockney ), dark may undergo vocalization through the reduction and loss of contact between the tip of the tongue and the alveolar ridge, becoming a rounded back vowel or glide.
This is like adding vectors that more probably may follow a ridge in the phenotypic landscape.
The cited " strap " may be the ridge on the front ( so denoted by the visible pattern of the ox hide ) of the shield.
Although the trend of this ridge, as well as that of Tenaya Canyon, is probably controlled by master joints, 80 percent of the northwest " half " of the original dome may well still be there.
Slopes in the lee of a ridge or other wind obstacle accumulate more snow and are more likely to include pockets of deep snow, wind slabs, and cornices, all of which, when disturbed, may result in avalanche formation.
Impressions of fingerprints may be left behind on a surface by the natural secretions of sweat from the eccrine glands that are present in friction ridge skin, or they may be made by ink or other substances transferred from the peaks of friction ridges on the skin to a relatively smooth surface such as a fingerprint card.
The flexibility of friction ridge skin means that no two finger or palm prints are ever exactly alike in every detail ; even two impressions recorded immediately after each other from the same hand may be slightly different.
The animals have a distinct ridge running from the shoulders to the middle of the back ; the shoulders may be as much as higher than the rump.
Additionally, as Pisek means " sand " in Czech, the name of the new city may have also been influenced by a sand ridge that is located nearby.
The name " Skyway " may be derived from the area's correspondence with a high ridge in western Washington's hilly terrain, a name that echoes the Welsh “ Bryn Mawr ” ( also the denomination used for a village and several other places ), which means big hill
Also in the summer and fall, paragliders and hang gliders may be seen flying above the valley, along the ridge and landing at Lake Keechelus.
These may include upwedging, compressional telescoping, gravity sliding or transformation of a spreading ridge to a subduction zone.
The left over ridge may either subduct or ride upward across the trench onto arc trench gap and arc terranes as a hot ophiolite slice.
The name Chevin has close parallels to the Welsh term Cefn meaning ridge and may be a survival of the ancient Cumbric language.
Scafell Pike ( left ) and Scafell ( right ), with the ridge of Lingmell in the foreground. A further ascent may be made from Langdale.
Such environments may include extremely hot ( hot springs or mid-ocean ridge black smoker ) environments, extremely saline environments, or even space environments such as Martian soil or comets.
Within the trough is a slowly spreading north-south ridge which may be the result of an offset or gap of approximately along the main fault trace.
It may be derived from Bula's Ofer or Boll's Ofer, respectively the Old English for Bull's Ridge or Boll's Ridge ( the ridge associated with a person named Boll ), alternatively in the 1650s it was referred to as ' Bolsouer '.
If the sides of the ridge ( or alley ) are very steep, then the hill climber may be forced to take very tiny steps as it zig-zags toward a better position.
Thus, it may take an unreasonable length of time for it to ascend the ridge ( or descend the alley ).
By contrast, gradient descent methods can move in any direction that the ridge or alley may ascend or descend.
Wooler may be from Old English wella " well, spring " and ofer ( ridge, hill ).
Zino's Petrel may have a similar strategy, since preliminary results from geolocation studies indicate widespread dispersal over the North Atlantic central ridge during the breeding season, and migration towards the Brazilian coast in the non-breeding period.
Its may denote, Eastern or Ash tree Ridge, referring to the situation of the village on the ridge of a hill or could derive from previous associations with the manor of nearby Aston Clinton.

ridge and be
However, from ground level, this sunset would be obscured by a ridge in the landscape, and the viewer would need to be raised by two meters: another observation platform was needed.
These species can be distinguished from the cane toad by the absence of large parotoid glands behind their eyes and the lack of a ridge between the nostril and the eye.
On the left, the 22nd Armoured Brigade would be ready to move forward to protect the infantry as they consolidated on the ridge.
Every ridge arises as the intersection of two facets ( but the intersection of two facets need not be a ridge ).
In this way adjacent furrows can be ploughed in opposite directions, allowing ploughing to proceed continuously along the field and thus avoiding the ridge and furrow topography.
A stylus linked to a diaphragm would be made to ride in the groove or on the ridge so that the stylus would be moved back and forth in accordance with the recorded vibrations.
Dub won the battle, fought " upon the ridge of Crup ", in which Duchad, abbot of Dunkeld, sometimes supposed to be an ancestor of Crínán of Dunkeld, and Dubdon, the mormaer of Atholl, died.
Isotopic ratios of noble gases, such as < sup > 3 </ sup > He /< sup > 4 </ sup > He, are also of great value: for instance, ratios for basalts range from 6 to 10 for mid-ocean ridge tholeiite ( normalized to atmospheric values ), but to 15-24 + for ocean island basalts thought to be derived from mantle plumes.
From Washburn Point, Half Dome can be seen as a thin ridge of rock oriented northeast-southwest, with its southeast side almost as steep as its northwest side except for the very top.
The attack would be made on a front of, with its centre opposite the village of Vimy, to the east of the ridge.
One of the prime differences between LASSO and ridge regression is that in ridge regression, as the penalty is increased, all parameters are reduced while still remaining non-zero, while in LASSO, increasing the penalty will cause more and more of the parameters to be driven to zero.
Often, the only identifiable ridge detail that can be seen on a baby's foot is from the large toe or adjacent to the large toe.
The Bay Area Ridge Trail ultimately will be a 500 + mile trail encircling the San Francisco Bay along the ridge tops, open to hikers, equestrians, mountain bicyclists, and outdoor enthusiasts of all types.
The ruins of their hideout can be found on the nearby West Rock ridge, which run along the town's eastern border.
The shoreline can be seen clearly as the sand ridge along Ridge Road.

ridge and thought
Warren thought of all the men out that night who, like himself, had left their protective ridge and -- fear working at their guts -- picked their way into the area beyond.
The name Holt is thought to derive from the Anglo-Saxon word for woodland and Holt is located on wooded high ground of the Cromer-Holt ridge at the crossing point of two ancient by-ways and as such was a natural point for a settlement to grow.
Suggesting to his staff that it might be a good idea to have some guns in such a commanding position, the thought was taken as an order and soon two nine-pounders were firing from the ridge.
The formation is generally thought to have originally been an island between the Mississippi River and Ohio River that became a long low hilly ridge after the rivers changed course millions of years ago.
Their left is thought to have straddled the road, with its flank protected by a marsh ; it is not known if the low ground to the east of the ridge was similarly boggy, or if the English formation extended that far.
These two terms are thought to be Gallic: " clearing " for olium and " ridge " for crist.
Features such as ridges on the inside of the nasal cavity and a ridge at the back of the lower jaw are thought to be part of an evolutionary progression from early tetrapods ( four-limbed vertebrates ) to mammals.
At an early period, in consequence of the great span of the vault and the very slight rise or curvature of the web, it was thought better to simplify the construction of the web by introducing intermediate ribs between the wall rib and the diagonal rib and between the diagonal and the transverse ribs ; and in order to meet the thrust of these intermediate ribs a ridge rib was required, and the prolongation of this rib to the wall rib hid the junction of the web at the summit, which was not always very sightly, and constituted the ridge rib.
A gap in the dyke, from the south-east end, is thought to make room for a trackway along the ridge.
Bond is then sent to a ski ridge in Hokkaido, Japan, to track down and kill chemical expert Sotoshi Isagura, who is thought to be working for Elliot Carver after a nerve gas attack at Yokohama.
James Duberley is thought to have pulled down the original Priory building before having a more imposing house built on a higher point of the ridge some distance from the original site.
A body thought to be hers was found on the south-west face of the mountain in 1995 by Fausto de Stefani, Marco Galezzi and Silvio Mondinelli, suggesting that she had climbed up the north-west ridge to a point very close to the summit before falling down the south-west side.
From a practical viewpoint, a ridge can be thought of as a one-dimensional curve that represents an axis of symmetry, and in addition has an attribute of local ridge width associated with each ridge point.
The ridge of the hill was thought to represent the petrified remains of the great taniwha ( sea monster ) Whataitai, one of the two creatures who helped form the harbour of Te Whanganui-a-Tara ( Wellington Harbour ).
The Nawdba were thought to be the last elements of a migration from the East that infiltrated into the plateau between the mountain ridge home of the Lamba to the North and the mountain ridge home of the Kabyé to the South.
Its prominence is thought to be 245 feet ( 74 meters ), with its highest peak having a local prominence of approximately 200 feet ( 61 meters ) relative to the surrounding ridge.
At first, the ridge was thought to be a phenomenon specific to the Atlantic Ocean.
The hills are thought to be a glacial terminal moraine, much the same as Cromer ridge.

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