but will not be updated after May 2017.
The Flint Hills form a prominent erosional massif that stands well above lower plains to the east and west. The focus for excursions and field exercises is the central Flint Hills terrain in Chase (CS), Butler (BU), Lyon (LY) and surrounding counties--Figure 1. This region represents a classic example of "layer-cake stratigraphy" at its best. The bedrock strata are revealed as a result of pervasive stream erosion, which has dissected deep valleys that cross the Flint Hills in all directions. The Flint Hills includes the largest region of native tallgrass prairie remaining in North America, and so the surficial geology and geomorphology are readily visible in the landscape, on air photos, and in satellite images.
See Flint Hills upland physiographic region.
Image obtained from the Kansas Geological Survey.
The eastern margin of the Flint Hills is marked by a major escarpment that is especially prominent in northwestern Greenwood, southeastern Chase and eastern Butler counties. Maximum elevations exceed 500 m, relief is locally up to 100 m, and stream valleys are deeply entrenched. The Walnut, Verdigris, Cottonwood, and Fall drainage basins meet at divides on the Flint Hills crest in this region--Figure 1. From their eastern crest, the Flint Hills slope gently westward, down the regional bedrock dip, to the western limits of the Walnut and Cottonwood drainage basins.
The Flint Hills are underlain by lower Permian limestone, shale and evaporites. This bedrock generally dips gently toward the west or northwest. Local variations in bedrock dip are found over the crest of the buried Nemaha uplift. Erosion of interbedded shale and limestone strata has resulted in landscapes with steep east-facing escarpments separated by gentle west-sloping cuestas--Figure 2. Thick cherty limestone units weather to produce residual chert lag deposits that are highly resistant to chemical breakdown. Such residual chert is responsible for maintaining high topographic relief and gives the Flint Hills their name. Unconsolidated sediments are common, especially within river valleys and on some upland areas. Soils are developed in residual (weathered) bedrock material, alluvial deposits, and loess sediment.
Oil pump operating in the Shinn NE oil field, southeastern Butler County. Photo date 9/89, © J.S. Aber.
Butler County became an important petroleum production and refining center early in the 20th century following the initial discovery of gas near Augusta (1906) and later discovery of the giant El Dorado oil field in 1915. As a result of this economic development, detailed surface and subsurface geological mapping was carried out in the El Dorado vicinity by Fath (1921). Fath's maps demonstrate the remarkable structural complexity of surficial bedrock in the area. Other portions of the Flint Hills also display structural deformation of surficial bedrock, in connection with recurrent movements of the buried Nemaha Uplift and Humboldt Fault zone.
The formal bedrock stratigraphy was defined and described by Zeller (1968). The Council Grove Group is found in eastern Chase County, where it crops out in the lower portion of the Flint Hills escarpment--Figure 3, and the Chase Group forms most of the Flint Hills crest.
Bedrock stratigraphy of the Flint Hills region, east-central Kansas. The Admire Group is considered upper Pennsylvanian; the Council Grove and Chase groups are lower Permian (Baars et al. 1994). Chart adapted from Kansas Geological Survey (1997).
The outcrop patterns of bedrock units along the Flint Hills escarpment are extremely intricate--Figure 4, and many small erosional outliers of resistant bedrock units are present along the crest of the escarpment. Resistant limestone beds form stone lines on the hill sides, which makes mapping of the bedrock stratigraphy relatively easy.
Stone line formed by the Crouse Limestone in the vicinity of the "cattle pens" exit on the Kansas Turnpike (I-35), southeastern Chase County. Photo date 9/95, © J.S. Aber.
The Florence Limestone forms the resistant cap along much of the escarpment. However, in eastern Chase County the Florence has been removed by erosion, and the Wreford Limestone forms the escarpment crest. Residual chert from the Florence and Wreford often drapes over underlying shale and limestone formations. The Chase Group is the surficial bedrock for most of Butler and western Chase counties west of the Flint Hills escarpment. Although the landscape is generally less rugged, intricate outcrop patterns have resulted from stream dissection, and outliers of resistant bedrock units form small hills--Figure 5.
Cyclothems are systematic repetitions of bedrock lithology and fossils in the stratigraphic column. The upper Pennsylvanian cyclothems of eastern Kansas have been world famous since the work by Moore (1964). No less impressive are lower Permian cyclothems of the Flint Hills region. Cyclothem strata were laid down as a result of repeated marine transgressions and regressions of a very shallow continental shelf and emergent coastal lowland. The cyclothem model includes six units, from the top down--Figure 6.
6. Limestone: tan to gray, platy to massive, fossiliferous limestone, chalky limestone, or dolomitic limestone; cross bedding, oolites, and ripple marks common; locally cherty toward base with algal bed toward top; diverse fossils. Examples: Morrill, Funston, Schroyer, Fort Riley, Cresswell, Herington. Environment: offshore regressive sea to shallow, high-salinity, lagoon.
5. Shale: gray or green, fissile to platy, calcareous, fossiliferous shale or shaly limestone; diverse fossils including trilobites. Examples: Florena, Havensville. Environment: farthest offshore sea of maximum transgression.
4. Cherty limestone: tan or light gray, platy to massive, fossiliferous limestone or chalky limestone; scarce to abundant nodules or beds of chert; locally may display algal banding or cross bedding; diverse fossils including many echinoids and fusulinids. Examples: Neva, Cottonwood, Crouse, Threemile, Florence, Stovall. Environment: far offshore, shallow sea of near-maximum transgression.
Florence Limestone exposed along K-96 highway in southeastern Butler County. Light gray chert beds and nodules are conspicuous within the limestone. Scale pole marked in feet. Photo date 10/89, © J.S. Aber.
3. Shale: gray, tan or green, platy, fossiliferous, calcareous shale and shaly limestone; abundant brachiopod and mollusk fossils. Examples: upper Eskridge, upper Easly Creek, upper Speiser, upper Wymore, upper Gage. Environment: shallow, normal salinity, transgressive sea.
2. Limestone: one or more, thin, gray or tan, chalky or coquina, fossiliferous limestones; abundant brachiopods and mollusks. Examples: middle Eskridge, middle Speiser. Environment: shallow to estuarine, low-salinity sea.
Students examine the Eskridge Shale in the spillway at Lake Kahola, KS. The fall is formed by the "middle" limestone within the Eskridge Shale. Blocks of the Cottonwood Limestone rest on top of the fall. Photo date 10/81, © J.S. Aber.
1. Shale: platy, somewhat calcareous, maroon or red shale above green and black shale; generally few fossils, black shale has inarticulate brachiopods, maroon shale lacks marine fossils. Examples: lower Eskridge, lower Speiser, lower Wymore, lower Gage. Environment: lagoon or estuarine (green or black) to emergent (maroon) tidal flat or sabhka.
Students examine the red shale zone below the middle limestone bed in the Eskridge Shale in the spillway at Lake Kahola, KS. Photo date 10/89, © J.S. Aber.
Major cyclothems are 50-100 feet (15-30 m) thick and include thick, cherty limestone units--Figure 6. The Speiser/Wreford and Blue Springs/Barneston cyclothems are typical examples. Minor cyclothems are usually only 25-40 feet (8-12 m) thick, and thin limestones of variable lithology are typical. Good examples include the Eskridge/Beattie, Easly Creek/Crouse, Blue Rapids/Funston, Wymore/Kinney, Gage/Winfield, and Odell/Nolands cyclothems. Water depth probably did not much exceed wave base during deposition of minor cyclothems. The absence of black shale from the core position (unit 5) of major cyclothems also suggests that deep water conditions were not achieved during major marine transgressions. The total range of relative sea-level change between exposed sabhka stage (unit 1) and maximum transgression (unit 5) was probably 100 feet (30 m) or less (McCrone 1964).
The bedrock stratigraphy has remarkable lateral consistency--Figure 7; unit thickness varies little, and only a few noticeable facies changes are present. Slight thinning of bedrock strata occurs in the central portion of Butler County over the crest of the Nemaha Uplift. Many limestone units show evidence of deposition in very shallow water across this area. Typical sedimentary structures include cross bedding, ripple marks, oolites, and algal laminations. Such features are present in limestone units from the Cottonwood up through the Fort Riley. This region is part of what Imbrie et al. (1964) named the Greenwood Shoal of the early Permian sea.
Cottonwood Limestone cross-laminated, algal facies indicative of shallow water of the Greenwood Shoal, eastern Butler County. Photo date 7/90, © J.S. Aber.
Morrill Limestone ripple marks indicative of shallow water of the Greenwood Shoal, eastern Butler County. Photo date 7/89, © J.S. Aber.
Ft. Riley Limestone cross-bedded, oolitic facies indicative of shallow water of the Greenwood Shoal, central Butler County. Photo date 7/90, © J.S. Aber.
Lower Permian cyclothems are similar to Upper Pennsylvanian cyclothems of eastern Kansas (Klein and Willard 1989); each cyclothem includes a triad of limestone-shale-limestone (units 4, 5 and 6) and represents mainly marine sedimentation. Lithologies of individual units within Lower Permian cyclothems differ considerably, however, from Upper Pennsylvanian cyclothems. Red beds, cherty limestone, dolomite, and evaporites (subsurface) are common in Lower Permian strata; whereas coal, sandstone, and black shale are scarce to absent. The lithologic differences between Upper Pennsylvanian and Lower Permian cyclothems are thought to reflect a combination of factors during early Permian time (Aber 1991).
Increasing aridity of the climate.
Decreasing supply of clastic sediment.
Decreasing amplitude of transgressive/regressive cycles.
Red and maroon colored strata of the Gage Shale, central Butler County. The small fold is likely the result of collapse following subsurface solution of evaporites. The red beds represent an arid, terrestrial sedimentary environment, Photo date 1/91, © J.S. Aber.
Herington Limestone, northwestern Butler County. This rock is dolomitic, chalky limestone with numerous quartz concretions. It indicates arid conditions of shallow marine sedimentation. Photo date 6/90, © J.S. Aber.
Many explanations for Pennsylvanian and Permian cyclothems of the midcontinent have been proposed. These explanations generally fall into three categories--crustal movements, glacio-eustatic sea-level changes, and delta-lobe shifting. The Lower Permian cyclothems of the Flint Hills do not contain features associated with deltaic sedimentation (i.e. channel sandstone), and the remarkable lateral consistency of units argues against significant local crustal movements during the early Permian (Moore 1964). The most reasonable explanation for repeated marine transgressions and regressions is glacioeustasy related to glaciation in Gondwana (Aber 1991).
Bedrock dip is normally westward or northwestward at 20 to 40 feet per mile (4-8 m/km), but this varies in many areas. Northward, southward, and eastward dips as steep as 60 to 80 feet per mile (11-15 m/km) are commonly developed in association with folds. Dip angle may locally be as great as 10° in these situations. In some other cases, bedrock dips less than 20 feet per mile (< 4 m/km) over broad areas.
Fold structures--anticlines and synclines--are present in surficial bedrock in many parts of Butler and Chase counties--Figure 8 and Table 1 (below). In most cases, anticlines and synclines occur in closely matched pairs, but this is not true in all situations. Basement control of structures in surficial bedrock of the midcontinent was recognized long ago by Fath (1921, p. 149), who stated that these structures are "in large part the surface expression of deep-seated readjustments along ancient faults or lines of weakness present in the pre-Cambrian basement rocks of the region."
Table 1. Surficial anticlines and synclines of Butler County, Kansas. See Fig. 8 for locations.
1. Blankinship Anticline Blankinship, Young.
3. Grouse Syncline Grouse Creek.
6. Eagle Syncline Eagle Creek.
7. Cole Syncline Cole Creek.
8. Burns Dome oil field.
11. Dunkle Syncline unnamed stream.
12. El Dorado Anticline El Dorado.
15. Shumway Anticline El Dorado.
16. Augusta North Anticline Augusta North.
17. Augusta Syncline Walnut River.
18. Augusta South Anticline Augusta.
20. Douglass Anticline oil field.
22. Rose Hill Anticline oil field.
23. Seltzer Syncline Seltzer Spring.
The crest and trough of an anticline/syncline pair are generally parallel to each other, with the syncline located from ½ to 2 miles east of the anticline. Between the anticline and syncline, bedrock dips toward the east. The fold pair may extend for several miles in curved northerly, northeasterly, or easterly trends. The two longest folds in Butler County are both synclines: Walnut Syncline (10) and Gordon Syncline (19).
Surficial folds of Butler County are located above major uplifts in the basement surface. Folds in the western portion of the county are associated with the Nemaha Uplift, which is bounded on its eastern side by the buried Humboldt Fault--Figure 8. The basement surface is offset by several 100 feet to more than 1000 feet (300 m) along the fault zone (Bickford et al. 1979). Local culminations on the Nemaha Uplift correspond to the Burns, El Dorado, and Augusta-Douglass regions of surficial folding. Surficial folds in the southeastern portion of Butler County are located above a more subtle uplift in the basement surface.
Joints are ubiquitous in bedrock of the Flint Hills. Joint measurements show that at most sites two sets of joints are present--Figure 9. Some sites have three joint sets, a few sites have only one set of visible joints. The two dominant joint sets (1 and 2) are complementary (around 90° angle) and are found at most sites. Joint set 1 is widely present throughout eastern Kansas, at nearly all sites. It parallels the Fredonia tectonic zone and the Silver City-Rose Dome tectonic zone, which trend about 50° (Berendsen and Blair 1991). Joints sets 2 and 3 are related to well-known basement structures. Joint set 2 is parallel to numerous northwest-trending basement faults found throughout eastern Kansas--the Neosho and Fall River trends. Joint set 3 corresponds to the buried Humboldt Fault zone.
Joints in Ft. Riley Limestone at the Augusta city lake, Butler County. This joint set trends 325°. Photo date 11/90, © J.S. Aber.
Thrust fault exposed in roadcut along U.S. highway 54 west of Augusta, Kansas. The band of shale marks the thrust within the Ft. Riley Limestone. Scale pole marked in feet. Photo date 2/91, © J.S. Aber.
Faults are relatively rare in surficial rocks of Chase and Butler counties. Both normal and thrust faults are present in a few localities in association with anticlines. This pattern suggests that faulting occurred in connection with layer-parallel folding of brittle rocks--Figure 10. For example, a thrust fault is exposed along U.S. highway 54-77 on the western flank of the Augusta North anticline (see fig. 8). The fault cuts through the Ft. Riley Formation, which here strikes/dips 160°/10°SW. The thrust fault strikes/dips 170°/20°SW and has an estimated throw of 20 feet. This site displays the greatest amount of structural disturbance seen at the surface anywhere in Butler County.
Aber, J.S. 1991. Surficial geology of Butler County, Kansas. Kansas Geological Survey, Open-File Report 91-48, 31 p.
Aber, J.S. 1992. Chert gravel, drainage development, and sinkholes in the Walnut basin, south-central Kansas. Kansas Academy Science, Transactions 95:109-121.
Aber, J.S. 1997. Chert gravel and Neogene drainage in east-central Kansas. Kansas Geological Survey, Current Research in Earth Sciences, Bulletin 240, p. 29-41. See web version.
Aber, J.S., Spellman, E.E., Webster, M.P. and Rand, L.L. 1997. Applications of Landsat imagery in the Great Plains. Kansas Academy of Science, Transactions 100:47-60. See web version.
Baars, D.L., Ritter, S.M., Maples, C.G. and Ross, C.A. 1994. Redefinition of the Upper Pennsylvanian Virgilian Series in Kansas. Kansas Geological Survey, Bulletin 230:11-16.
Bain, B.A. 1992. Caves, springs, sinkholes, and other karst features in central Butler County, Kansas. Unpub. Master's thesis, Emporia State University, 44 p.
Bain, B.A. 1994. Kansas Groundwater Quality Monitoring Network, 1992 annual report. Kansas Department of Health and Environment, Division of Environment, 61 p.
Berendsen, P. and Blair, K.P. 1991. Interpretive subcrop map of the Precambrian basement in the Joplin 1° x 2° quadrangle. Kansas Geological Survey, Subsurface Geology Series 14, 10 p.
Bickford, M.E., Harrower, K.L., Nusbaum, R.L., Thomas, J.J. and Nelson, G.E. 1979. Preliminary geologic map of the Precambrian basement rocks of Kansas. Kansas Geological Survey, Map M-9, 1:500,000.
Buchanan, R.C. (editor) 1984. Kansas Geology. University Press of Kansas, Lawrence, Kansas, 208 p.
Burchett, R.R., Luza, K.V., Van Eck, O.J. and Wilson, F. 1983. Seismicity and tectonic relationships of the Nemaha Uplift and midcontinent geophysical anomaly. U.S. Nuclear Regulatory Commission, NUREG/CR-3117.
Davis, G.H. 1984. Structural geology of rocks and regions. J. Wiley and Sons, New York, 492 p.
Fath, A.E. 1921. Geology of the El Dorado Oil and Gas Field, Butler County, Kansas. Kansas Geological Survey, Bulletin 7, 187 p.
Imbrie, J., Laporte, L.F. and Merriam, D.F. 1964. Beattie Limestone facies (Lower Permian) of the northern Midcontinent. Kansas Geological Survey, Bulletin 169, vol. 1, p. 219-238.
Klein, G.deV. and Willard, D.A. 1989. Origin of Pennsylvanian coal-bearing cyclothems of North America. Geology 17:152-155.
Lutz-Garihan, A.B. and Cuffey, R.J. 1979. Stratigraphy of the Lower Permian Wreford megacyclothem in southernmost Kansas and northern Oklahoma. Kansas Geological Survey, Bulletin 216, 19 p.
Madole, R.F., Ferring, C.R., Guccione, M.J., Hall, S.A., Johnson, W.C. and Sorenson, C.J. 1991. Quaternary geology of the Osage Plains and Interior Highland. Geological Society America, Geology of North America K-2, p. 503-546.
McCrone, A.W. 1964. Water depth and midcontinent cyclothems. Kansas Geological Survey, Bulletin 169, vol. 1, p. 275-281.
Moore, R.C. 1964. Paleoecological aspects of Kansas Pennsylvanian and Permian cyclothems. Kansas Geological Survey, Bulletin 169, vol. 1, p. 287-380.
Neill, J.T. 1974. Soil survey of Chase County Kansas. U.S. Department of Agriculture, Soil Conservation Service, 65 p.
O'Conner, H.G. and Chaffee, P.K. 1983. Geohydrology field trip, Marion County, Kansas. Kansas Geological Survey, Open-file Report 83-25.
Penner, H.L., Ekart, S.C., Ewing, D.A., Schmidt, G. and Smith, J. 1975. Soil survey of Butler County, Kansas. U.S. Department Agriculture, Soil Conservation Service.
Schroeder, D. 1990. Water in the Flint Hills. In Aber, J.S. (ed.), Multidisciplinary field trip to Ross Reservation and Lake Kahola, Flint Hills region. Kansas Academy Science, Multidisciplinary Guidebook 3, p. 25-28. Kansas Geological Survey, Open-file Report 90-59.
Terman, M.R. and Aber, J.S. 1994. Fall field trip in Marion County, central Kansas. Kansas Academy Science, Multidisciplinary Guidebook 7; Kansas Geological Survey, Open-file Report 94-33.
Zeller, D.E. (editor) 1968. The stratigraphic succession in Kansas. Kansas Geological Survey, Bulletin 189, 81 p.


text:
Home » Sport » AJ Styles refuses to rule out AEW move but admits he wants to become WWE recruiter when he retires
AJ Styles refuses to rule out AEW move but admits he wants to become WWE recruiter when he retires
AJ STYLES has refused to rule out a move to AEW once his WWE career is over.
The 43-year-old is still a major star in WWE after signing from New Japan Pro Wrestling in 2016.
When asked about joining AEW on his Twitch stream, Styles did not dismiss the possibility.
He said: "As far as AEW goes, never say never right?
"But, I think once my career is done, I'm hopefully just going to work for WWE in some capacity. What would I do?
"I'd like to be a recruiter, go scout some guys, I think that would be fun.
"I would have no problem going to the Indies.
"I know we have scouts going to weightlifting contests and what not to get these big guys.
"I want to get guys and girls who have wanted to do this their whole life, give them some advice, check up on them from time to time, and help them get to the next level or the Performance Center.
"I think that'd be cool, to help somebody and see if they're coachable."
Styles has previously stated he believes he has signed his final contract in WWE.
Styles has a number of friends in AEW from his time at TNA and New Japan but appears happy with how his career is progressing in WWE.
He added: "A lot of my friends are there. Guys I love, but I know what I'm doing in WWE."
"I know what's asked of me and I kind of like that.
"I don't need, at least right now, to go anywhere else, so, why would I? But, again, never say never."
AEW drew in 845,000 viewers on Wednesday night as the company attempts to break up the Smackdown and Raw duopoly.
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redpajama_set_name: RedPajamaCommonCrawl


The purpose of assigning inbound calls to the softphone is to make sure the calls go to the softphone even when the agent is not on the dialer. This can be helpful when the agent is currently not on the dialer but needs to receive calls when they are at their desk.
Click on Account and select Edit from the drop down.
Under Show Extension, select the Extension that you want to edit then click on the drop down arrow under action and click on Edit.


text:
Native WhatsApp for macOS goes into public beta
WhatsApp didn't have a real desktop version until recently – Windows and Mac apps just wrapped the web version in an Electron shell. That changed last year when Windows got a native version and a native version for macOS entered beta. Initially, this was a closed beta available only to TestFlight participants, but now anyone (with a Mac) can get it.
You can download it from the official website, it is available for macOS Big Sur and newer. The site warns that this version is still at an early stage of development.
Interestingly, the WhatsApp team used Apple's Mac Catalyst framework, which makes it easier for developers to build apps that run on both iPadOS and macOS. It's curious because there is no WhatsApp version for iPad (instead, users are supposed to use the web version). Maybe that will change once this app comes out of beta.
Either way, the native app should run faster and be more efficient on Mac hardware (the same goes for the Windows version), so it's good to see the older version of Electron disappear.
spring | Via
Relationship Scandal: Charly Boy issues warning to Apostle Suleman, reveals scary dream about him
He's Simply A Goal Machine –Redknapp Hails Haaland


text:
using System;
using System.Collections.Generic;
using System.Linq;
using Elasticsearch.Net;
using NUnit.Framework;
using Nest.Tests.MockData.Domain;

namespace Nest.Tests.Unit.Core.Index
{
	[TestFixture]
	public class IndexTests : BaseJsonTests
	{
		[Test]
		public void IndexParameters()
		{
			var o = new ElasticsearchProject { Id = 1, Name = "Test" };
			var result = this._client.Index(o, i => i.Version(1));
			var status = result.ConnectionStatus;
			StringAssert.Contains("version=1", status.RequestUrl);
		}

		[Test]
		public void IndexingDictionaryRespectsCasing()
		{
			var x = new
			{
				FirstDictionary = new Dictionary<string, object>
				{
					{"ALLCAPS", 1 },
					{"PascalCase", "should work as well"},
					{"camelCase", DateTime.Now}
				}
			};
			var result = this._client.Index(x, i=>i.Id(1));

			var request = result.ConnectionStatus.Request.Utf8String();
			StringAssert.Contains("ALLCAPS", request);
			StringAssert.Contains("PascalCase", request);
			StringAssert.Contains("camelCase", request);
			StringAssert.Contains("firstDictionary", request);
		}
	}
}

redpajama_set_name: RedPajamaGithub


text:
You are here: Home > Football Tips > Aguero and Suarez to Plunder Desperate Opponents
Aguero and Suarez to Plunder Desperate Opponents
Sergio Aguero may be the key to unlocking riches in the UEFA Champions League in a week when none of the four games leaps off the coupon as being a match on which to bet one's house.
Yaya Toure's stoppage-time goal in Ukraine three weeks ago means that Manchester City has a vice-like grip on its UEFA Champions League tie versus Dynamo Kyiv and the Ukrainian Premier League team must score three goals in normal time of Tuesday's second leg to stand any chance of qualifying for the quarter-finals. Dynamo Kyiv cannot afford to stand on ceremony at the Etihad Stadium and that should result in plenty of open spaces for Manchester City's star striker.
Aguero has endured an injury-interrupted season but he has returned from his latest spell on the sidelines in decent form, particularly at the Etihad Stadium. Aguero has found the back of the net in four of his six home appearances for Manchester City since the turn of the year, including four of his last five such starts. It was Aguero who opened the scoring in last month's UEFA Champions League game between Dynamo Kyiv and Manchester City and he is the most likely beneficiary of the huge away underdog having to chase the tie from the first whistle at the Etihad Stadium. One does not want to steam into Manchester City at general odds of 57/100 1.57 -175 0.57 -1.75 0.57 for a UEFA Champions League match that the Citizens do not have to win – they could draw, lose 0-1, lose 0-2 or lose 1-2 and still progress – five days out from the second Manchester derby of the English Premier League competition. But Aguero is hungry for goals, the state of the tie should ensure that he receives opportunities and he is available at odds of 73/100 1.73 -137 0.73 -1.37 0.73 with Coral and William Hill to score.
Arsene Wenger's long reign as Arsenal's king may be coming to an unhappy conclusion because many Gunners fans think that he is not the manager to take their side forward.
Wenger is in desperate need of some brownie points and one expects him to send out his Arsenal team to have a crack at retrieving its UEFA Champions League tie against Barcelona even though the Gunners lost their home first leg 2-0 three weeks ago. However, one thinks that it may end in tears.
Barcelona boss Luis Enrique rested Luis Suarez on Saturday, telling reporters after Barca's 6-0 Spanish Primera Division home victory that the former Liverpool striker had played 850,000 games, 850,000 minutes. Enrique's mathematics may have been wrong – actually, there is no doubt that they were incorrect – but one thinks that he picked an excellent time to freshen up Suarez, who is trading at slightly longer odds than Lionel Messi to score versus Arsenal even though the former has netted half a dozen more goals than the latter.
Coral is offering odds of 73/100 1.73 -137 0.73 -1.37 0.73 about Suarez scoring a UEFA Champions League goal versus an Arsenal side that he may have joined had Liverpool not blocked his move to the Gunners. Suarez makes more appeal than either Barcelona to win at odds of 13/50 1.26 -385 0.26 -3.85 0.26 with Marathonbet or Messi to score at odds of 31/50 1.62 -161 0.62 -1.61 0.62 with Coral. Suarez is Barcelona's central forward, he is 100 per cent fit and his pace has the potential to tear apart Arsenal's defence on Wednesday.
Finally, Atletico Madrid to beat PSV in Tuesday's UEFA Champions League match without conceding a goal is one's final recommended play at odds of 83/100 1.83 -120 0.83 -1.20 0.83 with Paddy Power.
Atletico Madrid controlled the UEFA Champions League last-16 first leg in the Netherlands long before PSV attacker Gaston Pereiro was sent off in the 68th minute for two cautionable offences. PSV managed just one attempt on target and one corner kick despite having only marginally less possession than Atletico Madrid. PSV accrued only one UEFA Champions League Group B road point and that was courtesy of a lucky 0-0 draw at Manchester United so one does not hold out much hope for the Dutch Eredivisie team at the Vicente Calderon.
One expects that Atletico Madrid will not take many risks because an away goal for PSV has the potential to make life difficult for the Mattressers. Atletico Madrid specialises in low-scoring wins and, if the idea of betting at odds on leaves you cold, you could dutch the Mattressers to defeat PSV 1-0 or 2-0 and strike a wager at odds against.
Sergio Aguero to score at any time (Manchester City v Dynamo Kiev)
Tuesday 15th March, 19:45 GMT
Odds: 73/100 1.73 -137 0.73 -1.37 0.73
Luis Suarez to score at any time (Barcelona v Arsenal)
Wednesday 16th March, 19:45 GMT
Atletico Madrid to beat PSV to Nil
Favourite to Put the Slipper into Bookmakers
Home Wins Appeal in Midweek Championship


Being in a show takes a lot of work and dedication and our actors are doing great! I can't believe it, but we're approaching the finish line. Next week we roll into tech week for our Emerald City cast, followed by their performances on April 4 and 7. Tech week for the Ruby Slippers cast begins April 8, 9 and 10, followed by their performances on April 11 and 14. Ruby Slippers cast still have rehearsals on Sunday, April 7. On April 7 Ruby Slippers will go straight to the Senior Assembly Room.
The next two and a half weeks will be busy and exhilarating all at the same time! Long hours, hard work, and dedication, but well worth the sense of pride and accomplishment that will appear on all our actors' faces as they SHINE on stage.
How can you help? Please continue to work with them on their songs/lines/dances as we enter the homestretch. Make sure they are well-hydrated and get plenty of sleep; self-care is super important. Our actors are going to be working hard and they will need your support and encouragement. The long hours and effort will be well worth it. We can't wait to experience our theater magic coming alive while watching our budding actors dazzle us with their newly-refined talent, confidence, and teamwork!
I continue to encourage all of you to please use your PR/social media kits to help us spread the word about ticket sales! If you haven't purchased your tickets yet, please click the "Purchase Tickets" button below! If you purchased your tickets already, they will be waiting for you at Will Call, on the day of the performance.
Let's finish strong and be sure to review videos from our resource library.
Emerald City will meet in Zale Auditorium.
Ruby Slippers will rehearse in the Senior Assembly Room.
Please make sure your actor brings their costume bag and all the items requested if they have not already to rehearsals this Sunday. If you are playing a female role and you would like to pack your make-up now…a little blush, lip gloss, mascara…you can do that too.
Some of you already know, but tech week is when the show is completely run from top to bottom with costumes, mics, lights, music, make-up etc. It is a time to work out all the kinks (there will be plenty, and that is okay) it is just part of the process. Tech week allows the children to know exactly what to expect when they do the show live! At JPAS, unlike other children's theater programs in town, we have three nights of tech rehearsals. This helps set us apart. We want to ensure our actors are super prepared for opening night.
Actors must arrive promptly at 4:30 pm. Tech will end at 8:30. It is best to feed your actor BEFORE they arrive. We literally hit the ground running. Please pack snacks and a water bottle.
Opening night is next week – it is going to be amazing!
Actors DO NOT leave the J between performances. Actors will have their celebratory dinner and cake after the 2 pm performance.
Each year we hire a videographer to record the shows. DVDs will be on sale for $25. I will put together a separate email taking DVD orders. Unfortunately, parents are not allowed to video-tape the show.
We will also have a professional photographer join our last day of tech to capture our talented actors on the stage. We will make the photos available to the parents.
Reminder: your complimentary ticket(s) will be waiting for you at Will Call along with the additional tickets you may have purchased. Each actor receives one free ticket. For those of you who sent in your bios early, as per the contest we had, and participated in the virtual social media challenge, those complimentary tickets will be at Will Call too.
Camp StarQuest has a wait-list now. If you are interested, please click here to fill out the online form and email me as I may be able to open a spot available to our JPAS kids.
Open spots are still available in Camp StarPower – StarPower is so fun too!
Click here for to learn more about JPAS Camps, StarQuest, and StarPower.
Looking forward seeing everyone this Sunday!


On the 19 June 2018, Comenius University in Bratislava hosted the second face-to-face work meeting of INFORM team members.
The meeting provided an opportunity for all 9 INFORM partners to discuss the overall progress on the project plan, the results from the past work, the ongoing outputs and the future project activities.
At the meeting, Law and Internet Foundation was represented by Rosaliya Kasamska and Denitsa Kozhuharova.


Process Technology is combined with Physics & chemistry for Industrial & non-Industrial research findings. This Process Technology reviewing journals helps to improve the quality of article in which citation values will be increased. Process Technology review journals explain the method in Day to life and industrial process. Process Technology review journal from OMICS Group is an open access journal named as Journal of Process Technology& Catalysis which strives to release issues quarterly and is adamant to publish new findings related to the field of Process Technology. The mission of the Process Technology review journal provides a forum for publishing new findings on Physics & chemistry for Industrial & non-Industrial findings. The journal provides an open access platform to facilitate the exchange of information between chemistry and physical reactions to support the advancement of research and new findings. This Physics & chemistry for Industrial & non-Industrial findings review journal publishes the article like research, review, perspective, opinion or short commentaries, etc. based on the topics which relates this journal.


Despite being billed as a friendly match, our local MLAs can expect a tough encounter as they take on Belfast Deaf United at Blanchflower Park playing fields tomorrow (Friday 28 January).
We spoke to Belfast Deaf United Football Team Captain Roy McKee - naturally, he's hoping his team will emerge victorious and guarantees that the match will be far from boring and scoreless. Roy gave us an exclusive insight into match preparations and a glimpse into what the match means to his team and why he expects an entertaining and high energy match.
Q. How has the team prepared for the match?
Roy: At the minute, we're in training for the semi-final of the prestigious British Deaf Cup which will see us face either Fulham Deaf or Arsenal Deaf in March. We've yet to lift the trophy, so we're hoping the match against the Assembly team will be useful preparation and that both teams get a vigorous workout!
Q: Will there be any players in the opposition you will be keeping a close eye on?
Roy: It's fair to say we've looked at the strengths and weaknesses of the Assembly team but we'll keep our tactics close to our chest at this stage. After a quick check on the MLA age profile we're hoping that youth triumphs over experience! We will take nothing for granted though and are expecting a tough match.
Q. Have you watched the Assembly team in action before?
Roy: Well, what I can say is that if MLAs' football skills are anywhere near as polished as those displayed in the debating chambers we are in for a tough match!
The Assembly team is led by Captain Chris Lyttle and the team includes Simon Hamilton, Alastair Ross, Kieran McCarthy, Basil McCrea, John McCallister, Conall McDevitt, Thomas Burns, Raymond McCartney, Cathal Boylan and Peter Weir.
Star players for the Belfast Deaf Utd team include International deaf players Roy McKee (capt) and Richard Dougherty along with talented young players Brian Babb and Chris Fisher. Other notable players include Barry Campbell, Eoghan Fee, Richard Beattie and Conor Mervyn.
Both sides will be going all out to win, ensuring an exciting and fast-paced match for all!
Kick off is at 4.30pm and everyone's welcome to come along.


This last month, the human visage figured heavily in some strange cultural phenomenon. From facial hair fanaticism to food-on-face photography (right) to face-swapping family portraits, the following are five of the most bizarre trends in popular culture, art, and design for August 2010.
On the run from the law? Disguise your ride with Urban Outfitters' oversize, furry mustache. It ties easily to any grill and comes in hot pink, bright orange or black. However, according to the website, the "Carstache" is "not recommended for highway use." That's ok. When you're undercover it's best to stick to back roads anyway.
Also available: mustache pillowcase set, snow globe, mustache band-aids, shot glasses, Fingerstache Kit, Mirror Clings, fuzzy mustache keychain, mug, and much more. Ladies, are we going to spend thousands of dollars and endure excruciating pain having every wayward hair ripped off our bodies only to go out and buy some damn band-aids with patches of hair on them?
4. Excuse me, Miss, You Have Something on Your Face.
Photographer Marcel Van Der Vlugt's latest collection presents the female model as a commodity by partially obscuring most-or-all of her face with everything from salmon to licorice vines. We couldn't stop hearing "I ate his liver with some fava beans and a nice Chianti".
3. Mommy's Tired, Can You Carry Me?
Studio PR is taking family portraiture to places it should never, ever go with their "About Face" collection. And mom, really? The picture is freaky enough already, but that's the T-shirt you chose to wear for this picture?
We get it. The message French photographer Alain Delorme is trying to make about society and the innocence of young girls with his "Little Dolls" exhibition is pretty clear. We would like to know what kind of parents let Delorme do this to their kids? Through a process the artist refers to as "pixel surgery," the girls' appearance is altered to a point that goes way beyond makeup and hair. If the bed-head hairdos, doe eyes and strange pastries don't weird you out, check out the extra hands in each photo--in "Sarah" (bottom left) they even appear to be holding the girl in her seat.
Like balloons, we are filled with hopes and dreams. But over time a single sentence creeps into our lives. Don't be stupid. It's the crusher of possibility. It's the world's greatest deflator. The world is full of smart people. Doing all kind of smart things ... That's smart. Well, we're with stupid. Stupid is the relentless pursuit of a regret free life. Smart may have the brains ... but stupid has the balls. The smart might recognize things for how they are. The stupid see things for how they could be. Smart critiques. Stupid creates. The fact is if we didn't have stupid thoughts we'd have no interesting thoughts at all. Smart may have the plans ... but stupid has the stories. Smart may have the authority but stupid has one hell of a hangover. It's not smart to take risks ... its stupid. To be stupid is to be brave. The stupid isn't afraid to fail. The stupid know there are worse things than failure ... like not even trying. Smart had one good idea, and that idea was stupid. You can't outsmart stupid. So don't even try. Remember only stupid can be truly brilliant.
What's this? Balloons are filled with hopes and dreams? Is this all balloons or just the ones in L.A.? As for those last few lines, all we can say is stay in school kids. Stupid is just stupid.


text:
Q: Prefix route I want to create already exists as controllers I'm new to cakephp so go easy on me!
I have a table called promoters and users can be promoters.
I want to create a "promoters dashboard/control panel". To do this I wanted to create a prefix route of "promoters".
E.g. you go to http://mywebsite.com/promoters/events/add you get to the promoter_add function within EventsController.
So the problem is that I actually have a controller called PromotersController which I need for the admin users (e.g. http://mywebsite.com/admin/promoters/add).
I hope you're following.
So... my question is, will I just have to do what I think I'm going to have to do which is to create a different prefix route? Maybe call it promos or something?
Or can I create a prefix route of promoters and just have it override the controller named PromotersController if it needs to?
Thanks

A: Can't you just add the promoters dashboard method to the PromotersController?
class PromotersController extends AppController {

  public function dashboard() {

  }

}

you can then visit:
/promoters/dashboard

redpajama_set_name: RedPajamaStackExchange


text:
PREPARATION METHOD FOR INCREASING YIELD OF LOW COPY PLASMID DNA
Plasmids differ significantly in copy number due to their origin of replication, size, and associated insert. Several plasmids contain mutations that allow them to reach very high-copy numbers within the bacterial cell. However, depending on the objectives of the experiment or the nature of the cloned insert, it is not always possible to use high-copy number plasmid DNA.
Preparing low-copy number plasmid DNA can become a significant burden for applications that require large quantities of highly concentrated, endotoxin-free plasmid DNA, such as transfections and in vivo genetic manipulations. In these cases, it requires either scaling up the culture, performing multiple preparations, and/or concentrating the plasmid following purification.
Zymo Research has developed an innovative protocol for the ZymoPURE II Plasmid kits that enables purification of high quantities of plasmid DNA from low-copy number plasmids. Using this protocol, researchers can quickly and efficiently isolate highly concentrated, transfection-grade, low-copy number plasmid DNA at workable concentrations in ~25 minutes.
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Contact | Privacy Policy | © 2021 Zymo Research


text:
Vita Andersen (29 October 1942 – 20 July 2021) was a Danish poet, novelist, playwright and children's writer.

Career
Andersen made her literary debut in 1977 with the poetry collection , which is among the most sold poetry collections in Denmark.

Further publications include the short story collection Hold kæft og vær smuk (1978), the plays Elsk mig (1980) and Kannibalerne (1982), the novel Hva'for en hånd vil du ha (1987), and the children's books Petruskas laksko (1989) and Coco (1997).

She was awarded De Gyldne Laurbær in 1979, the Danish Critics Prize for Literature in 1987, and
the Søren Gyldendal Prize in 1991. Her novel Indigo from 2017 was nominated for the Nordic Council Literature Prize.

Personal life
Andersen was born on 29 October 1942, a daughter of author Aage Neutzsky-Wulff. She was a half sister to Erwin Neutzsky-Wulff.

Death
Andersen died on 20 July 2021.

References

External links

1942 births
2021 deaths
20th-century Danish poets
21st-century Danish poets
Danish novelists
Danish women novelists
Danish children's writers
People from Copenhagen
Danish women children's writers
Danish women poets

redpajama_set_name: RedPajamaWikipedia


A cold front is predicted to drop snow at Howard Prairie Tuesday evening through Wednesday, followed by cold, clear weather for the rest of the week, so anglers should be prepared for winter conditions. Bank access is available at numerous locations including the dam. The lake is 71 percent full.


text:
è il sequel di Digital Devil Story: Megami Tensei. È stato pubblicato dalla Namco nel 1990 per Nintendo Entertainment System ed è il secondo titolo della serie Megami Tensei. Si tratta del primo gioco della serie a non essere tratto da un romanzo di Aya Nishitani, benché mantenga le principali caratteristiche dei giochi che l'hanno preceduto.

Insieme a Digital Devil Story: Megami Tensei, di questo gioco è stato realizzato un remake dalla Atlus e pubblicati in un'unica cartuccia intitolata , che è stato pubblicato nel 1994 per Super Famicom. Questa nuova versione del gioco è caratterizzata da una grafica migliorata ed una mappa del mondo maggiormente dettagliata.

Note

Collegamenti esterni

 Scheda di Digital Devil Story: Megami Tensei II sul sito GameFAQs

Megami Tensei


text:
package io.gravitee.am.common.oidc;

import java.util.Arrays;
import java.util.Collections;
import java.util.List;

/**
 * OpenID Connect Clients use scope values, as defined in Section 3.3 of OAuth 2.0 [RFC6749], to specify what access privileges are being requested for Access Tokens.
 *
 * See 5.4. Requesting Claims using Scope Values
 *
 * @author Titouan COMPIEGNE (titouan.compiegne at graviteesource.com)
 * @author GraviteeSource Team
 */
public enum Scope {

    PROFILE("profile","Profile","Access to the End-User default profile Claims", Arrays.asList(
            StandardClaims.NAME, StandardClaims.FAMILY_NAME, StandardClaims.GIVEN_NAME, StandardClaims.MIDDLE_NAME,
            StandardClaims.NICKNAME, StandardClaims.PREFERRED_USERNAME, StandardClaims.PROFILE, StandardClaims.PICTURE,
            StandardClaims.WEBSITE, StandardClaims.GENDER, StandardClaims.BIRTHDATE, StandardClaims.ZONEINFO, StandardClaims.LOCALE,
            StandardClaims.UPDATED_AT),true),
    FULL_PROFILE("full_profile", "Extended profile", "Access to the End-User extended profile Claims", Collections.emptyList(), true),
    EMAIL("email","Email","Access to the email and email_verified Claims", Arrays.asList(StandardClaims.EMAIL, StandardClaims.EMAIL_VERIFIED),true),
    ADDRESS("address", "Address","Access to the address Claim", Arrays.asList(StandardClaims.ADDRESS),true),
    PHONE("phone", "Phone", "Access to the phone_number and phone_number_verified Claims", Arrays.asList(StandardClaims.PHONE_NUMBER, StandardClaims.PHONE_NUMBER_VERIFIED),true),
    OPENID("openid","Openid","Used to perform Openid requests", Collections.emptyList(),true),
    OFFLINE_ACCESS("offline_access", "Offline_access","Access to End-User UserInfo even when he is not logged in.", Collections.emptyList(),true),
    DCR("dcr", "Client_registration", "Access to client information through openid register endpoint.", Collections.emptyList(),false),
    DCR_ADMIN("dcr_admin", "Client_registration_admin", "Access to Dynamic Client Registration endpoint.", Collections.emptyList(),false),
    SCIM("scim", "SCIM", "Access to System for Cross-domain Identity Management endpoint.", Collections.emptyList(),false),
    UMA("uma_protection", "UMA_2.0","Access and manage user protected resources", Collections.emptyList(), false),
    CONSENT_ADMIN("consent_admin", "Consent_admin", "Access to End-User consents", Collections.emptyList(),false),
    GROUPS("groups", "Groups", "Access to the groups Claim.", Arrays.asList(CustomClaims.GROUPS), true),
    ROLES("roles", "Roles", "Access to the roles Claim.", Arrays.asList(CustomClaims.ROLES), true);

    private final String key;
    private final String label;
    private final String description;
    private final List<String> claims;
    private final boolean discovery;

    //See https://tools.ietf.org/html/rfc6749#section-3.3
    public final static String SCOPE_DELIMITER = " ";

    Scope(String key, String label, String description, List<String> claims, boolean discovery) {
        this.key = key;
        this.label = label;
        this.description = description;
        this.claims = claims;
        this.discovery = discovery;
    }

    public String getKey() {
        return key;
    }

    public String getLabel() {
        return label;
    }

    public String getDescription() {
        return description;
    }

    public List<String> getClaims() {
        return claims;
    }

    public static boolean exists(String scope) {
        try {
            Scope.valueOf(scope);
            return true;
        } catch (IllegalArgumentException e) {
            return false;
        }
    }

    public boolean isDiscovery() {
        return discovery;
    }
}


Moulet. 1995. Faune de France 81:5-6, 245-273 >> Note: Notes, close relationship with Pseudophloeinae discussed and rejected, synonymy (=Alydides, Alydina, Coriscidae, Coriscinae), accounts of W Palaearctic genera and species with keys.
Type genus: Alydus Fabricius, 1803; priority for family-group names based on Alydus dates from Alydides Amyot & Serville, 1843. First use as Alydidae by Amyot & Serville, 1843.


Summer time cleaning is the perfect time to freshen up your home and give it some new life. Most importantly, during the kitchen cleaning you can give new life to some of your kitchen appliances which you never thought needed any. Have you checked your oven recently? Open the door and look inside. Surprised about all the greasy stains and dirt? You shouldn't be – it was your doing. It's now time to fix it.
You have to start with picking your cleaning products carefully. You can't just slap a cloth with any detergent inside the oven – that's where your food goes. Avoid products with chemicals. Many products use a high concentration of corrosive ingredients for easier cleaning, but easy doesn't always mean good. This means you are spilling toxic materials inside your oven in the hopes that they will dissolve before you put food inside. Not to mention that these products are dangerous while cleaning – some of them burn the skin on touch, and are harmful to the eyes.
If you have listened to your grandparents long enough, it shouldn't be surprising that ovens can be cleaned with everyday harmless products like different types of soda, vinegar, soap, or lemon juice. You can make your own green cleaners with them for a healthier and safer effect.
Natural green cleaning solutions for everyday problems.
• Baking soda and washing soda can be quite the helpful cleaners. Use them to scrub the inside of the oven and easily remove all the accumulated grease.
• There are many essential oils and herbs that will do the job just fine, and will add a bit of germ-fighting power to the mix. Think about using peppermint, eucalyptus, and lavender for better cleaning agents that will remove all the bacteria and fungus accumulated in the oven, and add some nice fragrances.
• Speaking of fragrances, if the cleaning has left some unpleasant odors, you should use lemon juice to add a fresh aroma to the oven. Except for the smell, lemon juice also helps with mold and bacteria, so start squeezing lemons.
• Vinegar is a very effective cleaning tool. It is a fast cleaner that eats into grease and mold with ease, and it can also serve as a disinfectant to keep your oven germ-free. The smell might not be for everybody, but there are less smelly vinegar types you can choose from – white vinegar, for instance, can add a softer odor instead of the acute smell. Another great solutions is to add a few drops of essential oils or citrus oil for a refreshing fragrance and extra cleaning power.
• Always remember that the best way to save yourself from cleaning stains is preventing them from happening in the first place. Use parchment paper and foil to safely wrap up your dishes and prevent spilling while you cook inside the oven. This might seem expensive, but in the long run, getting all the cleaning materials you need to remove the stains is much more expensive.
If you find these tips helpful, use them for a better, safer, greener cleaning service. Keep your oven clean and your food fresh and healthy. For more tips click here.
Shared on TUESDAY WITH A TWIST!
Hello, Marla It is very important to use non toxic ingredients. I am trying to explain to my kids that we should take care of our nature. There are several things that you could use for cleaning. I am so glad that you have paid attention to this issue. Best regards!
I am thankful we have a self cleaning oven, but this only means the gunk comes lose. However, I would rather have to just take a rag and wipe it rather than use chemicals or have to scrub which I do not have time for.


A dreamy still life of a jug and leeks and onions. Signed and labeled with photographer's name (P. Bams Mechelen) on verso of mount, which is flush-mounted to the edges of the print. Pencil notations are also on verso.


text:
\section{ Introduction and results}

The notions of selectors went from {\it Topology}.
Let $X$ be a topological space, $exp \  X$
denotes  the set of all non-empty closed subsets of $X$ endowed with some (initially, the Vietoris) topology,
$\mathcal{F}$ be a non-empty subset of $exp \  X$.
A continuous mapping
$f: \mathcal{F}\rightarrow X$ is called an
$\mathcal{F}$-selector of $X$ if $f(A)\in A$ for each
$A\in \mathcal{F}$. The question on selectors of
topological spaces was studied in a plenty of papers, we mention only \cite{b1}, \cite{b4}, \cite{b9}, \cite{b10}.

Formally, coarse spaces, introduced independently and simultaniously in \cite{b17} and \cite{b13}, can be
considered as asymptotic counterparts of uniform topological spaces.
But actually, this notion is rooted in {\it Geometry, Geometric Group Theory} and {\it Combinatorics},
see [17, Chapter 1], [6, Chapter 4] and
\cite{b13}.  Every group $G$ admits the natural finitary coarse structure which, in the case of finitely generated $G$, can be viewed as the metric
structure of a Cayley graph of $G$.
At this point, we need some basic definitions.

\vspace{3 mm}

Given a set $X$, a family $\mathcal{E}$  of subsets of $X\times X$ is called a
{\it  coarse structure} on $X$ if

\begin{itemize}
\item{} each $E \in \mathcal{E}$  contains the diagonal $\bigtriangleup _{X}:=\{(x,x): x\in X\}$ of $X$;
\vspace{3 mm}

\item{}  if  $E$, $E^{\prime} \in \mathcal{E}$  then  $E \circ E^{\prime} \in \mathcal{E}$  and
$ E^{-1} \in \mathcal{E}$,    where  $E \circ E^{\prime} = \{  (x,y): \exists z\;\; ((x,z) \in E,  \ (z, y)\in E^{\prime})\}$,    $ E^{-1} = \{ (y,x):  (x,y) \in E \}$;
\vspace{3 mm}

\item{} if $E \in \mathcal{E}$ and  $\bigtriangleup_{X}\subseteq E^{\prime}\subseteq E$  then  $E^{\prime} \in \mathcal{E}$.
\end{itemize}

Elements $E\in\mathcal E$ of the coarse structure are called {\em entourages} on $X$.

For $x\in X$  and $E\in \mathcal{E}$ the set $E[x]:= \{ y \in X: (x,y)\in\mathcal{E}\}$ is called the {\it ball of radius  $E$  centered at $x$}.
Since $E=\bigcup_{x\in X}( \{x\}\times E[x]) $, the entourage $E$ is uniquely determined by  the family of balls $\{ E[x]: x\in X\}$.
A subfamily ${\mathcal E} ^\prime \subseteq\mathcal E$ is called a {\em base} of the coarse structure $\mathcal E$ if each set $E\in\mathcal E$ is contained in some $E^\prime \in\mathcal E^\prime$.

The pair $(X, \mathcal{E})$  is called a {\it coarse space}  \cite{b17} or  a {\em ballean} \cite{b13}, \cite{b16}.

A coarse space $(X, \mathcal{E})$  is called
 {\it connected} if,
 for any $x, y \in X$, there exists $E\in \mathcal{E}$ such that $y\in E[x]$.

A subset  $Y\subseteq  X$  is called {\it bounded} if $Y\subseteq E[x]$ for some $E\in \mathcal{E}$
  and $x\in X$.
If  $(X, \mathcal{E})$  is connected then
the family $\mathcal{B}_{X}$ of all bounded subsets of $X$  is a bornology on $X$.
We recall that a family $\mathcal{B}$  of subsets of a set $X$ is a {\it bornology}
if $\mathcal{B}$ contains the family $[X] ^{<\omega} $  of all finite subsets of $X$
 and $\mathcal{B}$  is closed   under finite unions and taking subsets. A bornology $\mathcal B$ on a set $X$ is called {\em unbounded} if $X\notin\mathcal B$.
A subfamily  $\mathcal B^{\prime}$ of $\mathcal B$ is called a base for $\mathcal B$ if, for each $B \in \mathcal B$, there exists $B^{\prime} \in \mathcal B^{\prime}$ such that $B\subseteq B^{\prime}$.

Each subset $Y\subseteq X$ defines a {\it subspace}  $(Y, \mathcal{E}|_{Y})$  of $(X, \mathcal{E})$,
 where $\mathcal{E}|_{Y}= \{ E \cap (Y\times Y): E \in \mathcal{E}\}$.
A  subspace $(Y, \mathcal{E}|_{Y})$  is called  {\it large} if there exists $E\in \mathcal{E}$
 such that $X= E[Y]$, where $E[Y]=\bigcup _{y\in Y} E[y]$.

Let $(X, \mathcal{E})$, $(X^{\prime}, \mathcal{E}^{\prime})$
 be  coarse spaces.
 A mapping $f: X \to X^{\prime}$ is called
  {\it  macro-uniform }  if for every $E\in \mathcal{E}$ there
  exists $E^{\prime}\in \mathcal{E}^{\prime}$  such that $f(E(x))\subseteq  E^{\prime}(f(x))$
    for each $x\in X$.
If $f$ is a bijection such that $f$  and $f ^{-1 }$ are macro-uniform, then   $f  $  is called an {\it asymorphism}.
If  $(X, \mathcal{E})$ and  $(X^{\prime}, \mathcal{E}^{\prime})$  contain large  asymorphic  subspaces, then they are called {\it coarsely equivalent.}

Given a coarse  spaces
$(X, \mathcal{E})$, we denote by
$exp \ X$ the set of all non-empty subsets of $X$ and endow  $exp \ X$ with the coarse structure $exp \ \mathcal{E}$ with the base
$\{ exp \ E: E\in \mathcal{E} \}$,
where
$$(A,B)\in exp \ E
  \Leftrightarrow A \subseteq E[B], \ \ B\subseteq E[A].$$
The coarse space $(exp \ X, exp \ \mathcal{E} )$ is called the {\it hyperballean} of
$(X,\mathcal{E})$,
for hyperballeans see \cite{b2}, \cite{b3}, \cite{b14}, \cite{b15}.

Now we are ready to the key definition.
Let   $(X, \mathcal{E})$ be coarse  space,
  $\mathcal{F}$ be
  a non-empty  subspace  of $exp \ X$.
  A macro-uniform mapping
 $f: \mathcal{F} \longrightarrow X$
 is called
 an $\mathcal{F}$-{\it selector}
 of $(X,\mathcal{E})$ if $f(A)\in A$ for each $A\in \mathcal{F}$. In the case
 $\mathcal{F}= exp \ X$,
 $\mathcal{F}= \mathcal{B}\setminus \{0\} $,
 $\mathcal{F}= [X]^2$ we get a {\it global selector},
 a {\it bornologous selector}
 and a {\it 2-selector}  respectively.
 The investigation of selectors of coarse was  initiated in \cite{b11}, \cite{b12}.

 Every group $G$ with  the identity $e$ can be considered as the
 coarse  spaces
$(G, \mathcal{E})$, where $\mathcal{E}$ is the
{\it (right) finitary coarse structure} with the base
 $$\{\{ (x,y) : x\in Fy \} : F\in [G]^{<\omega}, \  e\in F \} .$$

 We note that the bornology of $(G, \mathcal{E})$ coincides with $\mathcal{F}_G$ and use the name {\it finitary selector} in place the bornologous selector.

 Every metric $d$ on a set $X$ defines the coarse structure $\mathcal{E}_d$ on $X$ with the base
 $\{\{ (x,y) : d(x,y)\leq r \} : r> 0 \}$.
 Given a connected graph $\Gamma$, $\Gamma =\Gamma [V]
 $, we denote by $d$ the path metric on the set
 $V$ of vertices of $\Gamma$ and consider  $\Gamma$ as the
 coarse space $(V, \mathcal{E}_d)$.
 We recall that $\Gamma$ is  {\it locally finite}
 if the set $\{ y: d(x,y)\leq 1\}$ if finite for each
 $x\in V$.

 Our goal is to prove  the following theorem.

 \vspace{7 mm}

 {\bf Theorem 1. }
{\it For a group $G$,
 the following statements are equivalent
 \vspace{5 mm}

 $(i)$  $G$ admits a finitary  selector;

 \vspace{5 mm}

 $(ii)$  $G$ admits a 2-selector;

\vspace{5 mm}

 $(iii)$  $G$ is
  a finite extension of an
  infinite  cyclic subgroup or
 $G$ is countable and locally  finite (i.e. every finite subset of $G$ generates a finite subgroup).
 }
  \vspace{5 mm}

 In the prof of  Theorem 1
  we use the following characterization of locally finite graphs admitting
 selectors.
 By $\mathbb{N}$ and $\mathbb{Z}$,
 we denote  graphs, on the sets of natural and integer
 numbers in which two vertices  $a, b$ are incident if and only if  $|a-b|=1$.
 We note also that two graphs are coarsely equivalent  if and only if they are quasi-isometric, see [6, Chapter 4] for quasi-isometric spaces.

\vspace{7 mm}

 {\bf Theorem 2. }
{\it For a locally finite graph  $\Gamma$,
 the following statements are equivalent:
 \vspace{3 mm}

 $(i)$  $\Gamma$ admits a finitary  selector;

 \vspace{3 mm}

 $(ii)$  $\Gamma$ admits a 2-selector;

\vspace{3 mm}

 $(iii)$  $\Gamma$ is either
   finite   or
 coarsely equivalent to
    $\mathbb{N}$ and $\mathbb{Z}$.}

 \vspace{5 mm}
 We  prove   Theorem 2
in Section 2 and  Theorem 1 in Section 3.
In Section 4, we apply Theorem 1 to characterize groups
admitting linear orders compatible with finitary coarse structures.

\section{ Proof of Theorem 2 }

The implication $(i)\Rightarrow (ii)$ is evident.
To prove $(ii)\Rightarrow (iii)$,
we choose a 2-selector $f$ of $\Gamma [V]$
and get $(iii)$ at the end of some chain  of elementary observations.

We define a binary relation $\prec$ on $V$  as follows: $a\prec b$ iff $a\neq b$ and $f(\{a, b\})=a$.

We use also the Hausdorff metric on the set of all
non-empty
 finite subsets of $V$ defined by
 $d_H (A,B)= max \{ d(a,B)$, $ \ d(b, A): a\in A, b\in B\}$,
$d(a,B)= min \{ d(a,b): b\in B\}$.
We note that the coarse structure on
$[V]^2$ is defined by $d_H$.
Since $f$ is macro-uniform, there exists the minimal natural number $r$ such that if $A,B\in[V]^2$
and $d_H(A, B)\leq 1$ then $d (f(A), f(B))\leq r$.
We fix and use this $r$.

We recall that a sequence of vertices
$a_0, \dots , a_m$ is a {\it geodesic path} if $d(a_0, a_m)= m$
and $d(a_i, a_{i+1})= 1$ for  each $i\in \{0, \dots , m-1 \}$.
\vspace{7 mm}

{\bf Claim 1.} {\it Let
$a_0, \dots , a_m$ be a geodesic path in $V$ and $m\geq r$.
If $a_0 \prec  a_r$   (resp. $a_r \prec  a_0$) then
$a_i \prec  a_j$ (resp. $a_j \prec  a_i$) for all
$i,j$ such that $j-i \geq r$.}

\vspace{7 mm}

Let $a_0 \prec  a_r$.
By the choice of $r$, we have
$a_0 \prec  a_{r+1}, \dots a_0 \prec  a_{j}$ and
$a_1 \prec  a_{j}, \dots a_i \prec  a_{j}$.

\vspace{7 mm}

{\bf Claim 2.} {\it Let $v\in V$,
$B(v, r)= \{ x\in V: d(x, v)\leq  r\}$
and $U$ be a subset of $V\setminus B(v,r)$ such that the graph $\Gamma[U]$ is connected.
Then either $v\prec u$ for each $u\in U$ or $u\prec v$ for each $u\in U$.}
\vspace{5 mm}

We take arbitrary $u, u^\prime \in U$ and choose $a_0, \dots, a_k$
in $U$ such that $a_0=u$, $a_k=u^\prime$ and
$d(a_i, a_{i+1})=1$ for each $i\in \{0, \dots, k-1\}$.
Let $a_0\prec v$. By the choice of $r$, we have $a_1\prec v$, $\dots, a_k\prec v$.

\vspace{7 mm}

{\bf Claim 3.} {\it Let $u,v,v^\prime\in V$,
$d(v, v^\prime)=n$ and  $d(u, v)>n+r$.  If $u\prec v$ (resp. $v\prec u$) then $u\prec v^\prime$ (resp. $v^\prime \prec u$)}.

\vspace{7 mm}

We choose a geodesic path $a_0, \dots , a_m$ from $v$ to $v^\prime$.
Let $u\prec v$. By the choice of $r$,  $u\prec a_0$,
$u\prec a_1, \dots, u\prec a_n$.

\vspace{7 mm}

{\bf Claim 4.} {\it Let $a_0, \dots , a_m$ be a geodesic path in $V$, $v\in V$,
$d(v, \{a_0, \dots , a_m\}) = d(v, a_k)$, $k> 2r+1$,
$m-k> 2r+1$. Then $d(v, a_k)\leq r$.}
\vspace{7 mm}

We take the first alternative given by Claim 1,
the second is analogical.
Then
$a_0\prec a_k, a_k\prec a_m$.
Assuming that $d(v, a_k)> r$, we can replace $v$ to some point on a geodesic path from $v$ to $a_k$ and get
$d(v, a_k)= r+1$.
We take the first alternative given by Claim 2, the second is analogical.
Then $v\prec a_0$, $v\prec a_m$.
But  $v\prec a_0$ and  $a_0\prec a_k$
contradict Claim 3.

\vspace{7 mm}

We recall that a sequence $(a_n)_{n<\omega}$  in $V$
is a {\it ray } if $d(a_i , a_j)=j-i$ for all $i<j$.
Evidently, $\Gamma[\{ a_n : n<\omega\}]$ is  asymorphic to $\mathbb{N}$.

\vspace{7 mm}

{\bf Claim 5.} {\it Let $(a_n)_{n<\omega}$ , $(c_n)_{n<\omega}$  be rays in $V$,
 $A=\{a_n : n<\omega \},$
$C=\{c_n : n<\omega \}$  and  $A\cap C = \emptyset$.
Let $t_0 , \dots , t_k$
be a geodesic path from $a_0$ to $c_0$,
$T=\{ t_0, \dots, t_k\}.$
Assume that $T\cap \{A\} = \{ a_0 \}$, $T\cap C = \{ c_0 \}$.
If there exists a finite subset $H$ of $V$ such that every geodesic path from a vertex $a\in A$ to a vertex  $c\in C$ meets $H$ then $(A\cup C \cup T, d)$ is asymorphic to $\mathbb{Z}$.}

\vspace{7 mm}

We define a bijection
$f: A\cup C \cup T \rightarrow  \mathbb{Z} $ by
$$f(c_i)= -i-1, \ \  f(t_i)= i, \ \ f(a_i)= i+k + 1 $$
and show that $f$ is an asymorphism.

If $x,y \in A\cup C \cup T$ then $|f(x)- f(y)|\leq d(x,y)$.
Hence, $f^{-1}$ is macro-uniform.

We denote by $p=max \{ d(a_0 , h), d(b_0 , h): h\in H \}$.
Then the restriction of $f$ to $  C \cup T\cup \{a_0 , \dots , a_p \}$ is an asymorphism and the restriction of $f$ to $ A\cup T \cup \{c_0 , \dots , c_p \}$
is an asymorphism. Let $n>p$, $m>p$. Since a geodesic path from
$c_n$ to $a_m$ meets $H$, we have
$$d(a_m , c_n)\leq n-p+m-p=|f(a_m)- f(c_n)| - k -2p,$$
so $f$ is macro-uniform and the claim is proven.

\vspace{7 mm}
We suppose that $V$ is infinite.
Since
$\Gamma[V]$ is locally finite,
there exists a ray $(a_n)_{n<\omega}$ in $V$.
We put $A=\{ a_n: n<\omega\}$.
If $V\setminus B(A, r)$ is finite then $\Gamma[V]$ is coarsely equivalent to $\mathbb{N}$.

We suppose $V\setminus B(A, r)$ is infinite, take $u\in V\setminus B(A, r)$ and show that every path $P$ from $u$ to a point from $B(A,r)$ meets
$B(\{ a_0, \dots , a_{2r+1}\}, r+1)$.
We take a point $v\in P$ such that
$d(v, A)= r+1 $ and take $k$ such that $d(v,a_k)=r+1$.
By Claim 4, $k\leq 2r+1$, so
$v\in B(\{ a_0, \dots , a_{2r+1}\}, r+1)$.
We choose a ray  $(c_n)_{n<\omega}$ in $V\setminus B(A, r)$ and  put $C=(c_n)_{n<\omega}$.
We delete  (if necessary) a finite number of points from $A$ so that $A, C$ and $T$ satisfy the assumptions of Claim 5 with $F=B(\{ a_0, \dots , a_{2r+1}\}, r+1)$.
Then $(B(A\cup C\cup T), d)$ is coarsely equivalent to
$\mathbb{Z}$.

We show that $V\setminus B(A\cup C, r)$ is finite, so
$\Gamma[V]$ is coasly equivalent to $\mathbb{Z}$.
We suppose the contrary and choose a ray
$(x_n)_{n<\omega}$ in $V\setminus B(A\cup C, r)$.
Applying arguments from above paragraph, we can construct a subset $X$ of $V$ such that $(X, d)$ is coarsely equivalent to a tree $T$ which is a union of three rays with common beginning. Since $(X,d)$ has a
2-selector, by Proposition 5 from  \cite{b12}, $T$ also
admits a 2-selector.
On the other hand, Claim 4 states that $T$ does not admit a
2-selector and we get a contradiction.

It remains to prove $(iii)\Rightarrow(i)$.
This is evident if $\Gamma$ is finite.
By [12, Proposition 5], it suffices to show that
$\mathbb{N}$ and $\mathbb{Z}$ admit finitary selectors.
In both cases, a mapping $f$ defined by
$f(A)=max \ A$ is finitary
 selector.

\section{ Proof of Theorem 1 }

 Let $G$ be a group with the finite system  $S$ of generators, $S= S^{-1}$.
We recall that the Cayley graph $Cay(G, S)$ is a graph with the set of vertices $G$ and the set of edges
$\{(x,y): x\neq y, \  xy^{-1}\in S \}$.
We note that the finitary coarse space of $G$ is asymorphic to the coarse space of $Cay(G, S)$.
\vspace{7 mm}

Now let $G$ be an arbitrary group. The implication $(i)\Rightarrow(ii)$ is evident.

\vspace{7 mm}
We prove $(ii)\Rightarrow(iii)$.
 By
[12, Theorem 4], $G$ is countable.
Let $f$ be a
2-selector of $G$.
  We use the binary relation $\prec$ on $G$,
defined in Section 2, and consider two cases.

 \vspace{7 mm}

 {\it Case 1.} $G$ has an element $a$ of infinite order.
 We denote by $A$ the subgroup of $G$, generated by
 $a$, and show that $|G: A|$ is finite.
 \vspace{5 mm}

 On the contrary, let $|G: A|$ is infinite. We put
 $S=\{e, a, a^{-1}\}$, denote by $\Gamma[A]$  the graph
 $Cay(A, S)$ and choose a natural number $r$ such that if $B, C\in [A]^2$ and $d_H (B, C)\leq 1$ then
 $d (f(A), f(B))\leq r$.
 By Claim 1, either $a^m \prec a^n$ for all $m, n \in \mathbb{Z}$ such that $n-m\geq r$ or $a^n \prec a^m$
 for all $m,n \in \mathbb{Z}$ such that  $n-m \geq r$.

 Since $f: [G]^2 \rightarrow G$ is macro-uniform, there exists a finite subset $F$ of $G$ such that $F=F^{-1}$, $e\in F$ and if $B, C\in[G]^2$
 and $A\subseteq SB$, $B\subseteq SA$ then
 $f(A)\in Ff(B)$.
Since $|G: A|$ is infinite, we can choose $h\in G\setminus FA$, so $Fh\cap A= \emptyset$.
Then either $a^n\prec h$ for each $n\in \mathbb{Z}$ or
$h\prec a^n $ for each $n\in \mathbb{Z}$.
We consider the first alternative, the second is analogical.

Since $f$ is macro-uniform, we can choose $m\in \mathbb{N}$,
$m\geq r$ such that $e\prec a^m $ and  $h\prec a^m $,
but $h\prec a^m $ contradicts above paragraph.

\vspace{7 mm}

 {\it Case 2.} $G$ is a torsion group.
 We suppose that $G$ is not locally finite, choose a finite subset $S$ of $G$ such that the subgroup $H$,
 generated by $S$, is infinite.
 We denote $\Gamma[H]= Cay (H, S)$.
 By Theorem 2, $\Gamma[H]$ is coarsely equivalent to $\mathbb{N}$ or $\mathbb{Z}$.
 \vspace{5 mm}

 We  take $v\in\Gamma[H]$ and denote $S(v, n)= \{ u\in H:  d(v,u) =n \}$, $n\in \mathbb{N}$. By
  [8, Theorem 	1] or [16, Theorem 5.4.1], there exists a natural number $k$ such that $|S(v,n)|\leq k$ for each $n\in \mathbb{N}$.
  Hence, $H$ is of linear growth. Applying either
  \cite{b5} or \cite{b7}, we conclude that $H$ has an element of infinite order, a contradiction with the choice of $G$.

  \vspace{7 mm}

  It remains to verify $(iii)\Rightarrow(i)$.
  If $G$ is a finite extension of an infinite cyclic
  subgroup then we apply Theorem 2. If $G$ is countable and locally finite, one can refer to Theorem 5 in \cite{b12}, but we  give the following direct proof
  to use in the proof of Theorem 3.

  We write $G$ as the union of an increasing chain
  $\{G_n : n<\omega \}$, $G_0 =\{e\}$ of finite subgroup.
  For each $n$, we choose some system $R_n$, $e\in R_n$
  of representatives of right cosets of $G_{n+1}$ by
  $G_{n}$, so $G_{n+1}= G_{n} R_n$.
  We denote
  $$X= \{ (x_n)_{n<\omega} : x_n\in R_n \ and \ x_n =e
  \ for \ all \ but \ finitery \ many \ n \}$$
  and define a bijection $h: G\rightarrow X$ as follows.

  We put $h(e)=(x_n)_{n<\omega}, \ x_n =e$.
  Let $g\in G$, $g\neq e$. We choose $n_0$ such that
  $g\in G_{n_0 +1} \setminus  G_{n_0}$ and write
   $g=g_0 r_{n_0}$, $g_0\in G_{g_0}, \  r_{n_0}\in R_{n_0}$.
   If $g_{0}\neq e$ then we find $n_1$, $g_1 \in G_{n_1}$, $r_{n_1}\in R_{n_1}$ such that $g_0 = g_1 r_{n_1}$.
   After a finite number $k$ of steps, we get $g= r_{n_k} \dots r_{n_1} \ r_{n_0}$.
   We put $h(g)= (y_n)$, where
   $y_n = r_n$ if $n\in \{ n_k , \dots , n_0 \}$,
   otherwise, $y_n = e$.

   Now we define a linear order $\leq$ on $X$.
   For each $n<\omega$, we choose some linear order
   $\leq_n$ on $R_n$ with the minimal element $e$.
   If $(x_n)_{n<\omega} \ \neq \ (y_n)_{n<\omega}$
   then we choose the minimal $k$ such that $x_n =y_n$
   for each $n>k$.
   If $x_k <_k  \ y_k $
   then we put
   $(x_n)_{n<\omega} \ < \ (y_n)_{n<\omega}$.

   We note that $(X, \leq)$ is well-ordered, so every non-empty subset of $X$ has the minimal element.
   To define a global selector $f: exp \ G \rightarrow G$, we take an arbitrary $A\in exp \ G$ and put $f(A)= min \ h(A)$.

\section{ Linear orders}

Let $(X, \mathcal{E})$ be a coarse space.
We say that a linear order $\leq$ on $X$ is
{\it compatible with the coarse structure}
$\mathcal{E}$
if, for every $E\in \mathcal{E}$, there exists $F\in \mathcal{E}$ such that
$E\subseteq F$ and if $\{x,y\}\in [X]^2$, $x< y$
$(y<x)$
 and $y\in X\setminus F[x]$  then $x^\prime <y$
$(y<x^\prime)$
  for each $x^\prime \in E[x]$.

\vspace{7 mm}

Let $(X, \mathcal{E})$ be a coarse space, $\leq$ be a linear order on $X$.
 We say that an entourage $E\in \mathcal{E}$ is interval (with respect to $\leq$) if, for each
 $x\in X$, there exist $a_x , b_x \in X$ such that
 $a_x \leq x\leq b_x$ and $E[x]= [a_x, b_x]$.
We say that
$ \mathcal{E}$  is an interval coarse structure if
there is a base of $\mathcal{E}$
consisting of interval entourages. Clearly, if
 $\mathcal{E}$ is interval then $\leq$ is compatible with $\mathcal{E}$.

\vspace{7 mm}

{\bf Theorem 3. }
{\it Let $G$ be a group,
$\mathcal{E}$ denotes the finitary
coarse structure on $G$.
Then the following
 statements are equivalent
 \vspace{5 mm}

 $(i)$  there exists a linear order $\leq$ on $G$
 such that
 $\mathcal{E}$
 is interval with respect to $\mathcal{E}$;

 \vspace{5 mm}

 $(ii)$  there exists a linear order $\leq$ on $G$
 compatible with
 $\mathcal{E}$;

\vspace{5 mm}

 $(iii)$   $G$
 admits a 2-selector.
 \vspace{7 mm}

Proof.} The imlication $(i)\Rightarrow (ii)$ is  evident, $(ii)\Rightarrow (iii)$ follows from Proposition 2 in
 \cite{b12}. To prove $(iii)\Rightarrow (i)$, we use
 Theorem 1 and consider two cases.

 \vspace{7 mm}

 {\it  Case 1.} $G$ is a finite extension of an infinite cyclic group $A$.
 We can suppose that $A$ is a normal subgroup.
 Let $A= \{ a^n : n\in \mathbb{Z} \}$, $\{f_0 , \dots , f_m  \}$  be a set of representatives of cosets of  $G$ by $A$, $f_0 = e$, $F=\{f_0 , \dots , f_m  \}$.
 We set $F_n = F\{ a^{-n}, \dots , a^n \}$,
 $E_n = \{( x,y): xy^{-1}\in F_n\}$ and note that
 $\{ E_n : n\in \omega \}$ is a base for $\mathcal{E}$.

 We endow $G$ with a linear order $\leq$ defined by the  rule: $f_i a^k < f_j a^n $ if and only if either $k< n$
 or $k=n$ and $i< j$.

 We choose the minimal natural number $d$ such that
 $f_j f_j \in F \{ a^{-d}, \dots , a^d \} $ for all
 $i, j \in \{0, \dots , m \}$.
 Since $f_i ^{-1} a f_j \in  \{a, a^{-1} \}$,
 we have
 $$E_n [f_i a^k] \ \subseteq \ [f_0 a^{k-n-d}, \ f_m a^{k+n+d}].$$

 On the other hand,
$$[f_0  \ a^{k-n}, \  f_m \ a^{k+n}] \ \subseteq \
F_n \ a^{k} \ \subseteq \ F_n \ f_i ^{-1} \ (f_i \ a^k).$$
Hence, $\mathcal{E}$ has an interval base with respect to $\leq$.

  \vspace{7 mm}

 {\it Case 2.} $G$ is countable and locally finite. Then $\mathcal{E}$ is interval with respect to the linear order $\leq$ defined in the proof of Theorem 1.
$ \ \  \  \Box $

\vspace{7 mm}

Let $\leq$ be a linear order on $G$ compatible with $\mathcal{E}$. Does there exist a global selector of $G$? The following theorem gives the negative answer.

\vspace{7 mm}

{\bf Theorem 4. }
{\it The group $\mathbb{Z}$ does not admit a global selector.
 \vspace{7 mm}

Proof.} We suppose the contrary and let $f$ be a global selector. Since $f$ is macro-uniform, there exists a natural number $n$ such that if $X, Y \in exp \ G$
and
$$X\subseteq [-1, 1] + Y, \  Y\subseteq [-1, 1] + X$$
then $f(Y)\in [f(X)-n, \ f(x)+n].$

We put $A=(n+1)\mathbb{Z}$, $a=f(A)$, $A^\prime = A \setminus \{a\}$.
Then
\vspace{5 mm}

$f(A^\prime \cup \{a-1\})\in \{ a-1, a- (n+1)\}$,
$f(A^\prime \cup \{a-2\})\in $
$ \{ a-2, a- (n+1)\}, \dots$,
$f(A^\prime) = a-(n+1)$,
\vspace{5 mm}

$f(A^\prime \cup \{a+1\})\in \{ a+1, a+ n+1\}$,
$f(A^\prime \cup \{a+2\})\in \{ a+2, a+ n+1\}$,
$\dots,  f(A^\prime) = a+n+1$,

\noindent and we get a contradiction.
$ \ \  \  \Box $

redpajama_set_name: RedPajamaArXiv


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Desecravity – Anathema Review
By Ferrous Beuller on February 9, 2019 in 2019, Death Metal, Japanese Metal, Reviews, Technical Death Metal, Willowtip, Death Metal, Technical Death Metal, 28 comments
Japan probably isn't top of the list of countries responsible for propagating the most volatile of technical death metal. Desecravity clearly don't care for the geographical rank and file, however, as their hyper-proficient assault takes absolutely no prisoners. Anathema is the band's third foray into profuse precision and exhibits a startling standard of musicianship. But, as with all overtly technical genres, there lingers an elephant in the room… What good is inimitable skill without commensurate song writing? I've lost count of the amount of bands I've heard over the years who exist, seemingly solely, as an extreme guitar clinic. No attention to structure, no time spent on foundation. Fortunately, Desecravity seem to be aware of this to some degree, but they aren't entirely out of the woods yet…
Desecravity opt for a sound not dissimilar to the frenetic bent of modern Cryptopsy, albeit somewhat less feral. Even vocalist and guitarist Yujiro Suzuki bares a striking similarity in tone to the often unnecessarily maligned Matt McGachy. Suzuki's brawny delivery is double-tracked with another far more wretched layer, which complements Anathema's inherent brutality well. The band's sound is also rooted in the same blazing tempos as that of their Canadian forebears. The first song proper, "Impure Confrontation," throws everything but the kitchen sink at the wall; maniacal trilling, fragmented blasting, and schizoid half-beats. Frankly, I haven't been privy to such wanton masturbation since the former Mrs. Beuller left.
A good offset for the chaos is Desecravity's propensity for brutal death metal riffing. "Deprivation of Liberty" occasionally interrupts its screaming tremolos and utter bastardization of the melodic scale to indulge in some thick rhythms. Similarly, "Bloodthirsty Brutes" conceals a Gothenburg riff beneath its surplus notes whilst simultaneously revealing just where Anathema goes wrong. Desecravity are all about precise pummeling and, although they put a greater emphasis on sharp melody than before, sometimes their rabidity overpowers the requisite musicality. Scattered piecemeal about the record are enough killer riffs to create a handful of fantastic songs. Unfortunately, these moments of genius are either too frugally disseminated or, in some instances, relied upon too heavily. To make matters worse, the album is notably front-loaded, so by the time the closer, "Beheaded White Queen," rolls around in all of its proggy glory, I don't really care anymore. This is particularly galling when the potential for Anathema to have been the first worthy tech record of 2019 is so palpable.
The noble Swanö has bestowed a fine mix upon Anathema. Suzuki's dual vocals aren't too high up but they never clash with his guitar tone. Bassist Daisuke Ichiboshi's amorphous peels are always present beside the riffs and never fail to enforce their presence on the album. While Yuichi Kudo's drumming ability certainly isn't in question, I'm not enamored with his kick tone. It seems to lack emphasis, especially when compared with his snare and occasionally blurs into the grind of guitars. It's particularly unfortunate as his performance on ""Ominous Harbinger" deserves more clarity as he plies the song with an assortment of fills between capricious blast beats that match the track's alarming nature.
Anathema is a frustrating album. The record is home to some great ideas and consistently extraordinary instrumentation, but they are also consistently obscured in the name of excess. There can be no doubt that the material has its mind set on melting faces, in which it succinctly succeeds. But there is a cogency, clearly desired by the band, which is sadly overlooked in the face of misguided bombast. My advice is to check out the stunning artwork, press play and enjoy a thorough beating; excise a few tracks for a playlist and then move on. But not for too long. Desecravity definitely have what it takes to put together a serious contender. I just hope I don't have to wait another five years to find out.
Rating: 2.5/5.0
DR: 6 | Format Reviewed: 320 kbps mp3
Label: Willowtip Records
Websites: desecravity.bandcamp.com | desecravity.net | facebook.com/desecravity
Releases Worldwide: January 25th, 2019
Give in to Your Anger:
Tags: 2.5, 2019, Anathema, Cryptopsy, Death Metal, Desecravity, Jan19, Japanese Metal, Review, Reviews, Technical Death Metal, Willowtip Records
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Q: Calling web services in stack in android Hi i am developing android application. I am calling web services to get the data from the Server. Now on one activity i am calling around 15 - 20 web services on onCreate method. Now i want to code it in such a way that after the response of 1st Service is received then only the other web service call. But i don't know how to maintain it. Any help or suggestions are appreciated.
Thank you.

A: its simple...
you have to use AsyncTask class.

*

*extend this class

*override the following methods
(i) doinBackground (this method will run when you first start the AsyncTask)
(ii) onPostExecute (When doInBackgroun completed its work, this method starts executing)

*run the Async class.
explanation:
you just do your web service calling in doInBackground and execute another AsyncTask ,which has another service call in its doinBackground, in onPostExecute.
summary: execute AsyncTrask class from onPostExecute and call webservice in doInBackground.
here i am giving you some code snippet:
 class ExecuteRest1 extends AsyncTask<Void, Void, Void> {

    @Override
    protected Void doInBackground(Void... params) {
        //Call your first web service here
        return null;
    }

    @Override
    protected void onPostExecute(Void result) {
        new ExecuteRest2.execute();
    }
  }

 class ExecuteRest2 extends AsyncTask<Void, Void, Void> {

    @Override
    protected Void doInBackground(Void... params) {
        //Call your second web service here
        return null;
    }

    @Override
    protected void onPostExecute(Void result) {
        new ExecuteRest3.execute();
    }
  }

//And so on....

in onCreate():
new ExecuteRest1.execute();