Want to be a triathlon champion? This may be the most physically challenging and challenging activity, and each participant is considered a champion in the true sense. If you are not aware of a triathlon, or curious about it, a triathlon is a kind of event that combines running, cycling and swimming. It's like a marathon and requires an extreme level of physical fitness. Being a champion in a triathlon event is not an easy task, it takes hours of strenuous physical exercise. Proper practice, outstanding physical fitness, and the right equipment can make a person a true triathlete champion.
The Triathlons did not pay much attention to the suit; they just prefer to wear regular cycling shorts and swimwear like a marathon. Such events held for beginners are clearly less demanding and require less skill. However, this is different for trained professionals, for them the rate of such incidents will be 10 times higher. Professionals who participate in such competitions must periodically have an appropriate suit or commonly known as triathlon wuituit. The biggest advantage of wearing a fully tail adjusted tri suit is that it makes the transition from activity to activity much easier, or smoother.
Tri settings are created for all activities involved in the event, including running, cycling and swimming. Wearing a customized triathlon wadel means you do not need to change the costume when moving from one activity to another. Wearing a fitting suit is very important because it does not restrict movement especially when biking. However, choosing a setting that is too comfortable can create restrictions on movement while swimming. Well-fitted settings will not capture water or air bags and offer the buoyancy you find in normal wetsuits.
Wikituit triathlon always has knee and elbow pads to minimize bruising in case of accident. It acts like a wetsuit; This prevents limbs paralyzed after entering the knifing waters and keeping the body warm. Just like ordinary wetsuit, the tri suit is also made of neoprene, which is the material used to make professional surfing costumes. Neoprene is a very stimulating material and helps swimmers to take faster scratches in the waters.
If you are a complete triathlete beginner and take part in a marathon organized by a local club, you need to invest in a good wakeboard float jacket. Triathlon is a complex activity involving three physically demanding tasks, running cycling and swimming. Typically, running and cycling are kept in the list before touching the cold waters. Once you hit the water, it makes the clothes wet and therefore mostly done in the last marathon.
Beginners may find it very difficult to enjoy two physically demanding tasks such as running and cycling, and then continuing to swim. Some may feel breathless, others may also become unconscious. It may be difficult to cope with high water waves and can cause accidents. Therefore, always advice for beginners to wear a wakeboard buoy jacket after completing both legs of the beginning of the marathon.
Lifejackets offers additional impact and buoyancy protection, the ultimate goal of preventing unexpected events from occurring in deep water. Wearing a fitted jacket is mandatory, as it does not allow air to get trapped in your body and water and will offer additional buoyancy.
Previous PostPrevious All about women's wetsuits and wetsuits for water skiing.


text:
Q: How to access a variable that I only need to create once on Application.Start According to this guide:
https://github.com/mspnp/azure-guidance/blob/master/Retry-Service-Specific.md
They say:
Note that the StackExchange.Redis client uses multiplexing through a single connection. The recommended usage is to create an instance of the client at application startup and use this instance for all operations against the cache. For this reason, the connection to the cache is made only once, and so all of the guidance in this section is related to the retry policy for this initial connection—and not for each operation that accesses the cache.
Right now I have something like this:
public static Models.UserProfile GetUserProfile(string identityname)
        {
            /// It needs to be cached for every user because every user can have different modules enabled.
            try
            {
                var cachekeyname = "UserProfileInformation|" + identityname;
                IDatabase cache = CacheConnectionHelper.Connection.GetDatabase();
                Models.UserProfile userProfile = new Models.UserProfile();
                object obj = cache.Get(cachekeyname);

I can move the connection line to global.asax
protected void Application_Start()
        {

            IDatabase cache = CacheConnectionHelper.Connection.GetDatabase();

        }

If I move that line, then how can I get that instance on the other methods where I need to use it?
this is the cache connection helper
public class CacheConnectionHelper
    {
        private static Lazy<ConnectionMultiplexer> lazyConnection = new Lazy<ConnectionMultiplexer>(() =>
        {
            return ConnectionMultiplexer.Connect(SettingsHelper.AzureRedisCache);
        });

        public static ConnectionMultiplexer Connection
        {
            get
            {
                return lazyConnection.Value;
            }
        }
    }

A: You can make it static inside the global.asax file
public class Global : HttpApplication {
    public static IDatabase Cache = CacheConnectionHelper.Connection.GetDatabase();
    void Application_Start(object sender, EventArgs e) {

    }
    .....
}

Now you can access the database object in any class by simply accessing Global.Cache which is your single instance of the database.

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Seven Metals of Antiquity - The ancient world was essentially built on seven metals: copper, tin, iron, lead, gold, silver and mercury (known then as quicksilver). Gold, silver, lead and copper have all been known since prehistoric times. Tin was isolated in the late 4th millennium which ushered in the Bronze Age. While early humans have known about iron for just about as long, they did not figure out how to smelt it properly until the late 2nd millennium, which lead to the Iron Age. And mercury was the last of the ancient metals to be widely utilized, which was about 750 B.C..
Of course, ancient man also learned how to use some of these metals together to form alloys, such as bronze (copper and tin) and electrum (gold and silver). The reason for the early use of these metals before all the others is because of their natural state. Gold, silver, copper, iron and mercury can all be found naturally in the earth. However, mercury is rare in its pure form and is more likely found in various ores, which explains its later isolation than the others. And iron, as mentioned at the start of the Iron Age has a relatively high melting point. So while it was known for much longer, it could not be worked until more sophisticated furnaces were invented. The other two metals, tin and lead are only found in ore form, but have low boiling points. Both can be smelted in ordinary campfires. Copper, tin and iron were used in tools and weapons. Gold and silver are rare and precious metals and had many various uses, including jewelry and monetary exchange. Lead and mercury had fewer uses, mainly because they can be dangerous. Lead is toxic if ingested, although that didn't stop the Romans from using them to make pipes. And mercury, the only metal which is liquid at room temperature, is poisonous to the touch. But it can be used to dissolve gold and silver, and so was used in the ancient practice of alchemy. It wasn't until the 13th century A.D. that an eighth metal was finally isolated, which was arsenic.


ALBANY, New York, May 11, 2016: The report examines the investment scenario across China and delivers insights into the investment dynamics in various Chinese cities. The report presents the findings of a survey carried out by the Taiwan Electrical and Electronic Manufacturers' Association (TEEMA).
In spite of its position as an eminent investment hub, the Chinese economy is facing strong resistance in the wake of the economic troubles in North America and Europe. The labor costs in China, one of its prime strengths over the years, have risen in recent years, leading to a rise in the overall production cost. This has resulted in Chinese cities finding it harder than before to attract foreign investment. The regulatory framework governing foreign investment in China has also changed significantly in the last few years, leading to a further decline in the attractiveness of Chinese cities to foreign investors.
A thorough evaluation of Chinese cities is given in the report in terms of their investment attractiveness. The investment environment of each city, along with the risks, is detailed in the report to give the readers a comprehensive look into the potential of several Chinese cities. The degree to which TEEMA recommends each city is also given in the report. The performance of Taiwanese vendors in various cities in China is given in the report, along with information about some of the major disputes Taiwanese vendors have faced in the last few years.
On the basis of this, the Chinese cities most likely to be chosen by Taiwanese vendors are described and analyzed in the report. Three types of industries are looked into to discover the breakdown of the investment plans of Taiwanese vendors: High-tech industries, traditional industries, and service industries.
The TEEMA ranking of Chinese cities by investment attractiveness in 2015 is given in the report, with Suzhou Industrial Park, Downtown Suzhou, Chengdu, Hangzhou Xhiaoshan, and the outer district of Xiamen Island among the major prospective investment hubs examined in the report.
The differences in TEEMA's recommendations in 2014 and 2015 are also examined in the report to provide a comparative analysis of the trajectory each city has taken over the year. The report also discusses how the overall investment environment in the cities examined in the report has changed over the year, along with the important changes in the competitiveness of investment.
The report also provides changes in the list of Grade-A and Grade-D cities in 2014 and 2015, Grade-A cities being the most encouraging for foreign investment and Grade-D the least so. The cities that have exhibited the highest growth and the steepest fall are also listed. China's 11 major economic zones are ranked in the report to present a comparative review.


text:
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How to get to Port McNeill, British Columbia
Getting to Port McNeill, British Columbia
Perched on the northern shores of Vancouver Island, Port McNeill is a small town that's home to just over 2,600 people. During the summer months, these numbers swell with travelers passing through on adventure-based tours to explore the stunning landscapes of British Columbia.
If you're starting or ending your BC kayaking tour in Port McNeill, there are various modes of transportation for getting to the town. In this article, we'll introduce the options available for traveling by land and air from the cities of Vancouver, Victoria and Seattle.
Vancouver to Port McNeill
Ferries depart from both Horseshoe Bay and Tsawwassen on the edge of Vancouver's city center and connect to Nanaimo, from where it's around four hours' drive to Port McNeill. Campbell River lies at around the half-way point along the drive and is a good spot to stop and rest or refuel.
Alternatively, you can catch one of the Greyhound buses that depart at 5:30 am from central Vancouver and arrive in Port McNeill around 3:00 pm. The journey follows the picturesque BC Route 19, which serves as the main north-south thoroughfare on Vancouver Island.
Traveling by air, there are regular flights (Air Canada or WestJet) from the Vancouver International Airport (YVR) to the Comox Valley Airport (YQQ) on the east coast of Vancouver Island. From here, it's around three hours' drive to Port McNeill. There is also a small airport in Port Hardy (YZT), which has regular flights (Pacific Coastal Airlines) from Vancouver, which is the best option if you don't plan to rent a car. Port McNeill is a 35-minute drive from the airport, with the journey costing around $45-60 CAD by taxi.
If you're flying in from outside of Canada, make sure you allow at least 1.5 to 2 hours between the arrival of your international flight and the departure of your flight to Port Hardy. You will need to transfer from the International Terminal to the South Terminal using the complimentary shuttle bus.
Victoria to Port McNeill
If you're traveling from Victoria, it's around six hours' drive to Port McNeill. A scenic option is to ride the VIA Rail train, which departs from Victoria Johnston Street Bridge Terminal at 8:00 am. After climbing over the Malahat, passing through tunnels and agricultural fields, it arrives at Courtenay on the east coast of Vancouver Island around 12:30 pm. From here, you can rent a car (they will pick you up at the Courtenay train station) or catch the Greyhound bus to continue the journey to Port McNeill. It may be possible to do this in one day or you may need to overnight in Courtenay.
Seattle to Port McNeill
By car, Port McNeill is around nine hours' drive from Seattle, with the option to either drive through Vancouver (and catch the ferries as detailed above) or drive to Port Angeles (around 2.5 hours away) and board a ferry to Victoria. The journey can be done in a single day, although it's recommended to overnight somewhere along the way to avoid fatigue.
Alternatively, there are scheduled seaplane flights (Kenmore Air and Northwest Seaplanes) from the Seattle area direct to Port McNeill (YMP). It's important to be aware that floatplanes generally have limited baggage allowances, so check ahead of time to ensure you aren't faced with excess baggage fees at the terminal. The Port McNeill Airport is an eight-minute drive from the downtown area.
By Flip Falcon
Flip is a freelance travel writer and photographer. Her writing has been published in numerous scientific journals and online publications.
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text:
7.30: The Interviews
Watch some of 7.30's most compelling conversations with Australian and international newsmakers, politicians, sport stars and celebrities.
Michael Palin is best known for Monty Python but in recent years he's found a new audience as a travel writer. His latest book is called North Korea Journal and chronicles his two weeks inside that country. He spoke to Europe Correspondent Samantha Hawley.
This episode was published 20 Sep 2019. It was available until Thu 19 Dec 2019.
This episode is no longer available in iview. You might like similar programs to this, shown below. Learn more in iview Support.


With a dial that mimics freshly laid snow the SBGA211 has come to be nicknamed "The Snowflake" by its many fans. It is powered by Spring Drive, Grand Seiko's unique caliber, which combines the motive force of a mainspring found with the high precision of a quartz watch.The case and bracelet are made with high-intensity titanium, providing a scratch and corrosion resistant finish, making it 30% lighter than stainless steel and a pleasure to wear.The blue steel second hand moves smoothly in glide motion, and glows over the contrasting pure white face to create an even more dramatic movement. It has a 72-hour (3-day) power reserve, and a power reserve indicator on the bottom left of the dial.


text:
'Battling Boy' Is The Hero's Journey, Paul Pope Style [Review]
John R. Parker Published: October 10, 2013
Paul Pope has cultivated a lot of street cred for his work outside of comics. He's worked for Spin, Complex, Wired and GQ, designed clothing for DKNY and posters for the Jon Spencer Blues Explosion, and he even deejays on the side. In Battling Boy, his first original graphic novel since 2007, he reminds everyone that when he's not working in fashion design, magazine illustration, or dropping dope-ass beats, he's one of the most gifted comics creators on the planet, whose every pen-stroke deserves our rapt attention. The first of a two-volume story from First Second, Battling Boy combines superhero comics with pulp sci-fi and kaiju manga in a coming-of-age adventure about the son of a god, the daughter of a dead hero, and a city full of monsters.
The city of Arcopolis is at war. Under siege by an army of immense monsters and plagued by a gang of child-nabbing terrorists led by a ghoul named Sadisto, the streets are no longer safe; curfews are in effect. The city's greatest champion is Haggard West, a science hero in the mold of Buck Rogers and Adam Strange, who was introduced in July's The Invincible Haggard West. When West is killed, it leaves Arcopolis without a protector, and his sidekick and daughter Aurora without a father. While the city mourns, Aurora aches with grief for her father, and burns with the desire to follow in his footsteps.
Meanwhile, an unnamed pantheon of gods watches down over all the worlds in the universe, able to travel between them using three-dimensional maps shaped like double-helixes. That city's greatest hero, a bellicose, Thor-like warrior big on muscles and bravado, returns from his latest hunt on the eve of his son's thirteenth birthday, or "turning day," to inform Battling Boy that it's time for him to go on a "ramble," a coming-of-age journey that every god in the starry lofts must undertake. With little warning and absolutely no sentiment, Battling Boy is dropped in Arcopolis to walk his road of trials alone. Armed with an invisible credit card and twelve enchanted t-shirts that imbue him with the powers of animal totems, he must rid the city of the monsters terrorizing it, or die trying.
Battling Boy
It's Joseph Campbell's Hero's Journey, pulphope-style, and from the get-go it's evident that the Comics Destroyer is cooking with gas. His previous comics have always had a loose, improvisational feel about them, but Battling Boy clearly relies on the strict structure of the monomyth (the first half, at least), complete with the call to adventure, supernatural aid, and passage through the threshold, all to tell an all-ages (well, maybe ten-and-up) story about growing up.
Though he's flirted with young adult fare before in his ongoing classic THB, that series has not been without its share of adult moments. In Battling Boy, he explores adult moments of an entirely different nature, pitting his heroes against the monsters of Arcopolis while confronting them with the struggles of maturation. Aurora West and Battling Boy are each forced to grow up fast, each with an absent father who still manages to cast an imposing shadow, each with a powerful legacy to live up to. It's as if, through Aurora West, he's providing young readers with the tools to cope with loss, while with Battling Boy he's preparing them for college (though Battling Boy is essentially shooed away from home, he's got his own apartment, his parents' credit card, and if he really, really needs help, he can always call his dad). With his plucky, Golden Age-flavored dialogue and typical exuberance, he manages to impart these lessons while maintaining a balance between innocence and malice, always sure to counter quiet character moments with bursts of over-the-top sci-fi combat.
The book is filled with the kind of action we haven't seen since Batman: Year 100, but bigger, crazier, and with the colors of Hilary Sycamore, brighter. (Sycamore doesn't have quite the same subtlety of Pope's frequent collaborator José Villarrubia, but she gets the job done.) Huge, frantic, fast-moving battle scenes go on forever, the action zig-zagging across the pages like a ricocheting bullet.
Battling Boy Monster
Pope's artwork has always been stylish and kinetic, but in Battling Boy, he reduces the slickness, tones down the sexiness, and pumps up the raw power. All of his influences bleed through the pages in surprising ways: you see Jack Kirby in his character designs, Hergé in his bizarre backgrounds and cityscapes, Katsuhiro Otomo in his energy, Hugo Pratt in his cartooning, and Tony Salmons in his rubbery dynamics. Pope is like a funnel, a conduit between the old masters and a new generation of young readers, who will soak up knowledge of comics history without realizing they're learning something.
Twenty years into an iconic career, Paul Pope continues to push himself to find new areas, to take what has come before and synthesize it into what he calls "world comics, 21st-century comics," and with the first volume of Battling Boy he has taken another giant step in that direction. Stuffed with action and suffused with an incorrigible energy, Pope's most ambitious work to date takes off like a rocket and keeps going until it hits the stars. Let's just hope we don't have to wait much longer for the rest of it.
Filed Under: Battling Boy, Paul Pope
Categories: First Second, Opinion, Reviews
Felix Comic Art Launches Art Sale To Benefit The ACLU, Featuring Cliff Chiang, Bryan Lee O'Malley, Ramon Villalobos, Paul Pope, And More
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Always 100%: Celebrating The Work of Paul Pope
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The Bear Claw packs a semi-aggressive tread design for beefy hook up. It has a combination of straight and angled tread bars. The outside sidewall knobs help provid additional traction when needed. The 6 ply rating construction and special tire compound makes for extended tread life.


In Johannesburg 2016, I visited a building (now a pending demolition site) once known as Auden House in the bustling city district of Braamfontein. Spilling out of a cupboard of broken light fittings and print paraphernalia were piles of framed publication covers published by the South African Institute of Race Relations dating from 1944 - 96, presenting loaded titles of texts, pamphlets and lectures ranging from The Church and Race Relations, Civil Rights and Present Wrongs, Democracy in Multi-Racial Societies, Vanishing Lands and Migrant Labour and Ras, Beskawing en Vooroodeel. 'Coloured' communities in southern Africa have for long been constructed as fundamentally "different" to their black brothers and sisters, where white colonial regime meticulously positioned 'Coloured' people to aspire to be like them, but never actually be in their position.
Roberta Rich is a multi-disciplinary artist whose work responds to constructions of identity, often referencing her diaspora African identity and experiences. Utilising language and satire in her video, performance, installation and mixed-media projects, Rich draws from historical, socio-political and popular contemporary culture, to engage with notions of 'authentic' identity construction while ascertaining empowering forms of self-determination via her arts practice. Since completing her Master of Fine Arts at Monash University, Rich has exhibited projects in Melbourne, as well as interstate, and has been more recently working across Johannesburg and Cape Town. Rich is also part of the newly found collective Her Africa is Real. Recent shows include, Deny/Denial/Denied; Blak Dot Gallery, Melbourne (2017), One Colour at a Time: Contemporary Screen Prints; Wits Art Museum, Johannesburg (2017), M/other Land as part of Next Wave Festival at Arts House (2018), Transmissions; Gallery MOMO Cape Town, (2018) and an alumni of FCAC's Emerging Cultural Leaders Program. Her recent residencies in South Africa were supported by NAVA's Freedman Foundation Travelling Scholarship for Emerging Artists.
This project was assisted by The Freedman Foundation Travelling Scholarship. The program is administered by the National Association of the Visual Arts (NAVA).
Roberta Rich, Detail of Our Time, African Faces, African Unionism and Democracy, (from left to right, works in progress) 2018. Digital prints on acrylic with pine shelf, dimensions variable. Image Credit; Zelé Angelides.
Roberta Rich, Our Time, African Faces, African Unionism and Democracy, 2018. Digital prints on acrylic, each with pine shelf, dimensions 14 x 23cm each. All have edition 1/1 +AP. Image Credit; Christo Crocker.


text:
La Roche-Blanche ist eine französische Gemeinde mit  Einwohnern (Stand ) im Département Puy-de-Dôme in der Region Auvergne-Rhône-Alpes. Sie liegt ca. zehn Kilometer südlich von Clermont-Ferrand.

Geografie
Der Dorfkern liegt am Fuße eines Kalkplateaus mit ehemaligen Wohnhöhlen. Der weiße Kalkstein hat dem Dorf seinen Namen verliehen (frz. Roche Blanche = Weißes Gestein). Südlich des Dorfes fließt der Fluss Auzon, an dessen Ufer mehrere ehemalige Mühlen und ein Herrenhaus liegen. Westlich und vor allem östlich des Dorfkerns erstrecken sich die neuen Wohnviertel.

Geschichte
Geschichtliche Bedeutung erlangte La Roche-Blanche vor allen Dingen durch die erfolglose Belagerung von Gergovia (Einzelheiten siehe dort) durch Julius Cäsar im Laufe des Gallischen Krieges.

Napoleon III. erklärte das bis 1865 noch Merdogne genannte Dorf "Gergovie" zum Austragungsort der Schlacht. Es werden von verschiedenen Historikern und Hobbyforschern auch andere Stätten in der Nähe von Clermont-Ferrand angegeben, v. a. die "Côtes de Clermont".

Während des Jahrhundertsturms Ende Dezember 1999 wurde der Turm der Kirche von La Roche-Blanche stark beschädigt und musste abgetragen und erneuert werden.

Die Gemeinde liegt im näheren Einzugsbereich der Großstadt Clermont-Ferrand, wahrt aber trotz des starken Zuzugs von Pendlern weitgehend ihren ländlichen Charakter als ehemaliger Winzerort mit zahlreichen Obstgärten.

Bevölkerungsentwicklung

Sehenswürdigkeiten
 Wohnhöhlen: Wahrzeichen des Ortes sind die ehemaligen Wohnhöhlen in der Kalksteinklippe oberhalb des Dorfkerns. Auf dem Plateau steht ein mittelalterlicher Turm, der "Tour Julia".

 Gergovia: Durch den Stadtteil Gergovia mit seinen engen Gassen erreicht man das Plateau de Gergovie mit den archäologischen Ausgrabungen und dem Denkmal zur Schlacht von Gergovia. Vom Plateau bieten sich herrliche Ausblicke über die Landschaften der Auvergne, von der Chaîne des Puy bis zum Forez.

 Wehrkirche aus dem Jahr 1570 in Gergovia.

 Drachenfest: Im Oktober findet auf dem Plateau de Gergovie das jährliche Drachenfest Cervolix mit mehreren Tausend Teilnehmern und Besuchern aus ganz Europa statt.

Städtepartnerschaften
Seit 1991 ist La Roche-Blanche mit Empfingen in Deutschland durch eine Städtefreundschaft verbunden.

Weblinks

Ort in Auvergne-Rhône-Alpes

redpajama_set_name: RedPajamaWikipedia


text:
Q: How to rectify Symfony\Component\Debug\Exception\FatalThrowableError error in laravel-6? i am trying to create a notes(with title and body) that should be store in database for that i write some api (only valid user can able to create notes based on the token),i am able to get the token when successfully logged in , When i try to create a note it's throwing some error ,How to rectify that error please help me to fix this issue...
Error
Symfony\Component\Debug\Exception\FatalThrowableError Class 'Notes' not found in file /home/payarc/Desktop/newLaravel/app/Http/Controllers/NotesController.php on line 20

NotesController.php
<?php

namespace App\Http\Controllers;

use Illuminate\Http\Request;
use Illuminate\Support\Facades\Auth;
use Notes;
use App\Http\Controllers\Controller;

class NotesController extends Controller
{
    public function create_Note(Request $request)
    {
        $note=new Notes();

        $note->title=$request->input('title');
        $note->body=$request->input('body');
        $note->user_id = Auth()->id();
        $note->save();
        return $note;
    }
}

A: Try to replace
use Notes;

with full path
use App\Models\Notes;

A: You simply use for creating object of notes model like this
$note=new AppNotes();


RAYMOND WEIL today announces that New York's phenomenal four-piece, Vampire Weekend, are to receive the RAYMOND WEIL International Artist Award at the forthcoming Silver Clef Luncheon, a star-studded event held in support of music charity Nordoff Robbins that will take place on Friday 28 June at The Park lane Hilton Hotel.
The New York four-piece, currently on a UK tour, have had two No. 1 US albums and a Grammy nomination. Their best-known track 'A-Punk' was fourth on Rolling Stone Magazine's Rock List. They have played the main stage at Glastonbury, headlined Benicassim, had Jake Gyllenhaal star in one of their videos, performed on top US show Saturday Night Live an impressive three times and made chart history by becoming the first independent rock band to top the US charts with two consecutive albums – all in addition to smashing the previous record for first week vinyl sales. Most recently, Time Out London magazine picked Vampire Weekend as one of their eight 'Sounds of the summer' for 2013.
"We are delighted that Vampire Weekend today have been announced as the receivers of the RAYMOND WEIL International Artist Award. Over the past ten years, RAYMOND WEIL has supported the International Artist Awards, which has been received by the likes of Kylie Minogue, Michael Bublé, Swedish House Mafia, Kelis, John Legend, Foo Fighters, George Benson and Bob Geldoff in past years. We are proud and extremely honored to be collaborated with Nordoff Robbins and have witnessed the relentless efforts to transform lives through music therapy" – Says Elie Bernheim, Director – RAYMOND WEIL.
Vampire weekend are loved the world over for their unique blend of rock, punk and African music. In 2012 they were one of four musical artists (the others being Jay-Z, Alicia Keys and John Legend) chosen by President Barack Obama to officially support him on his re-election campaign.
"With their unique sound and cult following, Vampire Weekend have made a real name for themselves not just in America but around the world. They truly are one of the must see bands on the international circuit and a worthy winner of the RAYMOND WEIL International" – Says David Munns, Nordoff Robbins Chairman.
The annual Nordoff Robbins O2 Silver Clef Awards and Lunch, which began in 1976, is now the jewel in the charity's fundraising crown and a highlight of the UK music industry's calendar. Sponsored by O2 for the past 10 years, and now in its 38th year, the event has raised over £8 million for Nordoff Robbins since its inception. Last year's winners included Kylie Minogue, Jessie J, Emeli Sandé, Michael Bublé, Andrew Lloyd Webber, Conor Maynard, Fatboy Slim and Laura Wright. Honourees in previous years include The Who (awarded the very first Silver Clef Award in 1976), Elton John, Pink Floyd, Paul McCartney, Sting, Take That, Muse and many more.


The GST Council in October past year had said that an e-wallet mechanism for refunds to exporters would be developed and had entrusted the DGFT to prepare required norms for the implementation from April, 2018. "Further, the Committee are surprised t... More..
The former Prime Minister, it is understood, also apologised to his colleagues over the manner in which he had handled the issue. "We shall be retreating to ensure our individual parties, political organs are b...More..
Discussions on ways to improve conditions in Gaza , and stimulate the local economy, were due to take place at the White House on Tuesday. Iyad al-Buzom, Gaza's interior ministry spokesperson, said the a...More..
Numerous detainees have been released so far after forking out exorbitant amounts reaching as high as one billion dollars. Various analyses of the crackdown viewed it as a necessary step for Saudi Arabia to...More..
Activists with AVAAZ unloading 7000 shoes in the early morning hours on Capitol Hill in Washington , DC, March 13, 2018 . One of the parents in attendance Tuesday was Tom Mauser, whose son was killed ...More..
University Hospitals now faces multiple lawsuits following an incident at its Fertility Clinic that compromised hundreds of eggs and embryos stored in liquid nitrogen. The rest of the tanks were not affected. ...More..
But for those who don't want to live in what is essentially a kitchen with a bed, the printing method used by ICON is capable of producing a home that's up to 74sq m, about twice the size of houses typically ...More..
The deal would have created the world's No. 3 semiconductor company with a leading market share in smartphones, auto electronics and industrial internet devices. That followed another CFIUS letter last week, ...More..
Parallels were immediately drawn to the abduction of more than 200 schoolgirls in Chibok in 2014, which captured world attention and contributed to the ouster of Buhari's predecessor, Goodluck Jonathan. Tille...More..
The March 13, 2018, visit, which was not announced in advance due to security concerns, comes as the United States is putting new resources into the more than 16-year-old war. Neighboring countries are doubtf...More..
The charter service, Liberty Helicopters , has been involved in two other high-profile crashes in NY. "What do you do when you jump into a body of cold water, normally you get a cold water shock response and y...More..
Interviews with DeVos broadcast Sunday night and Monday morning by CBS and NBC show that she's performing below grade level in all subjects - and her deviation below the mean is anything but standard. But wh...More..
The much-loved star, famous for his epic stand-up shows, his tickling sticks and Diddy Men, died on Sunday in the home he was born in, in the Liverpool suburb of Knotty Ash. The television personality shared so...More..
Mr Glushkov also had a close friendship with fellow Russian businessman Boris Berezovsky, who came to the United Kingdom in 1999 after falling out with Mr Putin. Glushkov, a close ally of Berezovsky, was twice ...More..
Another bus is thought to have been traveling with this one, but is en route to Texas. Ollis confirmed during the press conference that the deceased victim was the bus driver. The driver of that bus was kill...More..
A report claims that West Ham United may be forced by the Football Association to play their remaining four home league matches behind closed doors. "I think a coin did hit David Sullivan on his glasses". ...More..
According to FOX News, even some Democrats, including Clinton's former 2008 campaign manager Patty Solis Doyle criticized her speech, "I love HC, but I'm exhausted of hearing who/what she blames 4 loss". Tuesda...More..
There's been another shakeup in President Trump's administration, and while it has been rumored and hinted at for months , the shock at the latest departure is no less resonant. There was disagreement betwe...More..
And, it comes amid escalating vitriol aimed at California from the Trump administration, which last week filed a lawsuit in federal district court claiming the state's sanctuary protections preempted federal ...More..
Still, he said , people are "very concerned and feel very vulnerable". Manley told CBS News that the explosions aren't just happening when people pick them up. Mr Manley told reporters after the latest blast...More..
Dozens of Mumbai residents had turned out to show support for the farmers as they marched through Mumbai in the morning, visiting sections of the Eastern Express Highway to offer them biscuits, dates an...More..
The Q400, or Dash 8, is the largest prop plane made by Bombardier and can hold 86 passengers, Siphengphet said. "EAM SushmaSwaraj spoke to Bangladesh Foreign Minister & expressed deepest condolences & sympath...More..
Mnuchin also argued the press should pay less attention to Trump's rally speeches and more attention to his policies, such as his announcement on tariffs last week. Still, "it creates a challenge to all parents...More..
Mr Trump said last week that he had accepted an offer to meet with Mr Kim - an agreement that would make him the first sitting U.S. president to meet face-to-face with a North Korean leader. Joongang Ilbo, an...More..
After coalition talks on Sunday, Netanyahu's office said cabinet ministers were waiting for ultra-Orthodox parties, which control 13 of the government's 66 seats in the 120-member parliament, to present a revis...More..
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The report also highlights concerns that abandoned Rohingya land will be set aside for ethnic Rakhine Buddhists and other non-Muslim groups in the area, and that alterations to the landscape will erase eviden...More..
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The Russian Muaythai Federation would like to announce the Thailand Consulate Cup!
This will be held from the 28th till the 30th of October, 2011 at the Teenage Club "Rovesnik" ("Agemate"), Saint-Petersburg, Russia.
Such muaythai competitions are held aiming to strengthen the friendly relationship already existing between Russia and Thailand. Sports are surely the best way to reinforce this with the further aim of expanding the promotion of the sport of muaythai. The youth development is very important to us, which is why we will be recognising the best athletes and teams while outspreading active and healthy lifestyle among children and youth.


with car parking available and is Wheelchair-friendly and fully accessible for all.
Are you aware that the library lends magazines? In April 2017 they have just updated the titles eld at Comberton Library, so do have a look at what is available when you are next in the library. Magazines are loaned for a week and are free to borrow.
UK fax – first page £1.20, subsequent pages 65p. Charges for other countries are higher, but library staff will be able to advise you of these.
On alternate Mondays during Term Time, from 10.30am-11.00am, bring your babies along for songs, rhymes and fun! It's free to drop-in, no booking required!


Maughold Church and beyond to North Barrule.
You can see more of my images of Manx Churches and Chapels by Clicking Here.
Marc your most welcome and thank you for your mail to me.
I'm back Eleanor, thank you for your email.


text:
package edu.umass.cs.jfoley.coop.bills;

import ciir.jfoley.chai.IntMath;
import ciir.jfoley.chai.collections.Pair;
import ciir.jfoley.chai.collections.list.IntList;
import ciir.jfoley.chai.fn.SinkFn;
import ciir.jfoley.chai.io.Directory;
import ciir.jfoley.chai.io.IO;
import edu.umass.cs.ciir.waltz.coders.Coder;
import edu.umass.cs.ciir.waltz.coders.files.FileChannelSource;
import edu.umass.cs.ciir.waltz.coders.files.FileSink;
import edu.umass.cs.ciir.waltz.coders.kinds.CharsetCoders;
import edu.umass.cs.ciir.waltz.coders.kinds.FixedSize;
import gnu.trove.map.hash.TIntIntHashMap;
import gnu.trove.map.hash.TObjectIntHashMap;
import org.lemurproject.galago.utility.StreamUtil;

import java.io.*;
import java.nio.ByteBuffer;
import java.util.List;

/**
 * @author jfoley
 */
public class IntVocabBuilder {

  public static class MemoryVocab {
    public TObjectIntHashMap<String> termMapping;
    SinkFn<String> writeCallback = null;

    public MemoryVocab() {
      termMapping = new TObjectIntHashMap<>();
    }

    public int lookupOrCreate(String term) {
      if(termMapping.containsKey(term)) {
        return termMapping.get(term);
      } else {
        int code = termMapping.size();
        termMapping.put(term, code);
        if(writeCallback != null) {
          writeCallback.process(term);
        }
        return code;
      }
    }

    public int size() {
      return termMapping.size();
    }

    public void setWriteCallback(SinkFn<String> writeCallback) {
      this.writeCallback = writeCallback;
    }
  }

  public static class IntVocabWriter implements Closeable {
    public FileSink corpusWriter;
    public FileSink docOffsetWriter;
    public FileSink docNamesWriter;
    public FileSink termsWriter;
    MemoryVocab vocabulary;

    public static Coder<String> strCoder = CharsetCoders.utf8.lengthSafe();

    public IntVocabWriter(Directory outputDir) throws IOException {
      corpusWriter = new FileSink(outputDir.child("intCorpus"));
      docOffsetWriter = new FileSink(outputDir.child("docOffset"));
      docNamesWriter = new FileSink(outputDir.child("docNames"));
      termsWriter = new FileSink(outputDir.child("terms"));

      termsWriter.write(FixedSize.ints, 0);
      vocabulary = new MemoryVocab();
      vocabulary.setWriteCallback(this::onNewTerm);
    }

    private void onNewTerm(String term) {
      try {
        termsWriter.write(strCoder, term);
      } catch (IOException e) {
        throw new RuntimeException(e);
      }
    }

    public void process(String docName, List<String> terms) throws IOException {
      docNamesWriter.write(strCoder, docName);

      long documentStart = corpusWriter.tell();
      docOffsetWriter.write(FixedSize.longs, documentStart);

      for (String term : terms) {
        int tid = vocabulary.lookupOrCreate(term);
        corpusWriter.write(FixedSize.ints, tid);
      }
    }

    public void put(IntVocabReader other) throws IOException {
      // copy term ids
      other.setTermTranslationTable(this.vocabulary);

      // start of this segment:
      long stepOver = corpusWriter.tell();

      // copy corpus:
      for (long i = 0; i < other.numberOfTermOccurrences(); i++) {
        int originalId = other.corpusReader.readInt(i*4);
        int myTermId = other.termTranslationTable.get(originalId);
        corpusWriter.write(FixedSize.ints, myTermId);
      }

      // copy "doc-offsets"
      for (long i = 0; i < other.numberOfDocuments(); i++) {
        long offset = stepOver + other.docOffsetReader.readLong(i*8);
        docOffsetWriter.write(FixedSize.longs, offset);
      }

      // copy "doc-names"
      OutputStream namesOut = docNamesWriter.getOutputStream();
      StreamUtil.copyStream(other.docNamesReader, namesOut);

      other.close();
    }

    @Override
    public void close() throws IOException {
      termsWriter.write(0, FixedSize.ints, vocabulary.size());
      corpusWriter.close();
      docOffsetWriter.close();
      docNamesWriter.close();
      termsWriter.close();
    }
  }

  public static class IntVocabReader implements Closeable {
    public FileChannelSource corpusReader;
    public FileChannelSource docOffsetReader;
    public InputStream docNamesReader;
    public InputStream termsReader;

    int[] lengths;

    public int numTerms;
    public TIntIntHashMap termTranslationTable = null;

    public IntVocabReader(Directory inputDir) throws IOException {
      corpusReader = new FileChannelSource(inputDir.childPath("intCorpus"));
      docOffsetReader = new FileChannelSource(inputDir.childPath("docOffset"));
      File docNames = inputDir.child("docNames");
      if (docNames.exists()) {
        docNamesReader = IO.openInputStream(docNames);
      }
      File terms = inputDir.child("terms");
      if (terms.exists()) {
        termsReader = IO.openInputStream(terms);
        numTerms = FixedSize.ints.read(termsReader);
      }
      // lengths-array.
      lengths = new int[numberOfDocuments()];
      int ND = numberOfDocuments();
      InputStream stream = docOffsetReader.stream();
      long prev = FixedSize.longs.read(stream);
      for (int i = 1; i < ND; i++) {
        long here = FixedSize.longs.read(stream);
        lengths[i-1] = (int) ((here - prev)/4L);
        prev = here;
      }
      lengths[ND-1] = (int) ((corpusReader.size() - prev)/4L);
    }

    public long numberOfTermOccurrences() throws IOException {
      return corpusReader.size() / 4L;
    }
    public int numberOfDocuments() throws IOException {
      return IntMath.fromLong(docOffsetReader.size() / 8L);
    }
    public int getTerm(long corpusPosition) throws IOException {
      return corpusReader.readInt(corpusPosition * 4);
    }
    public Pair<Long,Long> getDocumentRange(int document) throws IOException {
      assert(document >= 0);
      if(document >= numberOfDocuments()) throw new RuntimeException("Can't find document above max: "+numberOfDocuments());
      long start = docOffsetReader.readLong(document * 8);
      if((document+1) >= numberOfDocuments()) {
        return Pair.of(start, corpusReader.size());
      }
      return Pair.of(start, docOffsetReader.readLong((document + 1) * 8));
    }
    public int[] getDocument(int document) throws IOException {
      Pair<Long,Long> bounds = getDocumentRange(document);
      int length = IntMath.fromLong(bounds.right - bounds.left);
      if(length == 0) {
        return new int[0];
      }
      if(length <= 0 || bounds.right <= 0) {
        System.err.println(bounds);
        System.err.println(length);
        System.err.println(document);
        System.err.println(docOffsetReader.size());
        System.err.println(docOffsetReader.readLong(document+1)*8);
        System.err.println(docOffsetReader.readLong(document)*8);

      }
      assert(bounds.right >= 0);
      assert(length >= 0);
      int numWords = length/4;
      int[] output = new int[numWords];
      ByteBuffer buf = corpusReader.read(bounds.left, length);
      for (int i = 0; i < numWords; i++) {
        output[i] = buf.getInt(i*4);
      }
      return output;
    }
    public int getTerm(int document, int position) throws IOException {
      long start = docOffsetReader.readLong(document * 8);
      return corpusReader.readInt(start + position * 4);
    }
    public int getLength(int document) throws IOException {
      return lengths[document];
    }
    public IntList getSlice(int document, int position, int width) throws IOException {
      Pair<Long,Long> docRange = getDocumentRange(document);

      int docLength = IntMath.fromLong((docRange.right - docRange.left) / 4L);
      //System.err.println("position:"+position+" width:"+width+" docLength:"+docLength);
      int endPosition = Math.min(position+width, docLength);

      long start = docRange.left + position*4;
      long end = docRange.left + endPosition * 4;

      int length = endPosition - position;
      assert(end <= docRange.right) : "End: "+end+" docRange="+docRange+" length: "+length+" docLength: "+length;
      if(length <= 0) {
        System.err.println("Length[-2]="+getLength(document-2));
        System.err.println("Length[-1]="+getLength(document-1));
        System.err.println("Length[0]="+getLength(document));
        System.err.println("Length[+1]="+getLength(document+1));
        System.err.println("Length[+2]="+getLength(document+2));
        throw new RuntimeException("getSlice("+document+" "+position+" "+width+": dl: "+docLength+" "+length+" "+docRange.left+" "+docRange.right+")");
      }
      int data[] = new int[length];
      ByteBuffer bbuf = corpusReader.read(start, length*4);
      for (int i = 0; i < length; i++) {
        data[i] = bbuf.getInt(i*4);
      }
      return new IntList(data);
    }

    public void setTermTranslationTable(MemoryVocab targetVocabulary) throws IOException {
      assert(this.termTranslationTable == null);
      TIntIntHashMap result = new TIntIntHashMap(numTerms);
      for (int i = 0; i < numTerms; i++) {
        String term = IntVocabWriter.strCoder.read(termsReader);
        result.put(i, targetVocabulary.lookupOrCreate(term));
      }
      termsReader.close();
      termsReader = null;
      this.termTranslationTable = result;
    }

    public int getNumTerms() {
      return numTerms;
    }

    public void forEachName(SinkFn<Pair<Integer,String>> nameFn) throws IOException {
      for (int i = 0; i < numberOfDocuments(); i++) {
        nameFn.process(Pair.of(i, IntVocabWriter.strCoder.read(docNamesReader)));
      }
      docNamesReader.close();
    }

    public void forEachTerm(SinkFn<Pair<Integer,String>> termFn) throws IOException {
      for (int i = 0; i < numTerms; i++) {
        termFn.process(Pair.of(i, IntVocabWriter.strCoder.read(termsReader)));
      }
      termsReader.close();
    }

    @Override
    public void close() throws IOException {
      termTranslationTable = null;
      corpusReader.close();
      IO.close(docOffsetReader);
      IO.close(docNamesReader);
    }
  }

}

redpajama_set_name: RedPajamaGithub


text:
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JobNet is a registered trademark of JobServe Ltd. Part of the Aspire Media Group.	© 2021 JobNet. All rights reserved.


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text:
Edgewood Townehouse Association
In Eugene's South Hills
Agents & Title Companies
CC & R's
Rules and Forms
The By Laws of
Click here to download or view a printable version
ARTICLE I (Name of Association)
The name of the corporation is EDGEWOOD TOWNEHOUSE ASSOCIATION hereinafter referred to as the"Association". The principal office of the corporation shall be located at:
95 Westbrook Way
Eugene, Oregon 97405
Meetings of the members and the Directors shall be held at 95 Westbrook Way.
ARTICLE II (Definitions)
The principal office of the Association is located at 366 East 40th Avenue, Eugene, Lane County, Oregon.
ARTICLE III (Meeting of Members)
James T. Breeden, whose address is 366 East 40th Avenue, Eugene, Lane County, Oregon, is hereby appointed the initial registered agent of this Association.
ARTICLE IV (Management of the Association)
This Association does not contemplate pecuniary gain or profit to the members thereof, and the specific purposes for which it is formed are to provide for maintenance, preservation and architectural control of the residence Lots and Common Area within that certain trace of property described as:
Tract B, Edgewood West, as platted and recorded in Book 51, Page 14, Lane County Oregon Plat Records in Lane County, Oregon, including the plats, if any, filed heretofore within Tract B, and any subsequent plats filed on property within Tract B.
and to promote the health, safety and welfare of the residents within the above-described property and any additions thereto as may hereafter be brought within the jurisdiction of this Association for this purpose to:
(a) exercise all of the powers and privileges and to perform all of the duties and obligations of the Association as set forth in that certain Declaration of Covenants, Conditions and Restrictions, hereinafter called the "Declaration", applicable to the property and recorded or to be recorded in the Office of the Director of Records and Elections for Lane County, Oregon, and as the same may be amended from time to time as therein provided, said Declaration being incorporated herein as if set forth at length;
(b) fix, levy, collect and enforce payment by any lawful means, all charges or assessments pursuant to the terms of the Declaration; to pay all expenses in connection therewith and all office and other expenses incident to the conduct of the business of the Association, including all licenses, taxes or governmental charges levied or imposed against the property of the Association,
(c) acquire (by gift, purchase or otherwise), own, hold, improve, build upon, operate, maintain, convey, sell, lease, transfer, dedicate for public use or otherwise dispose of real or personal property in connection with the affairs of the Association.
(d) borrow money, and with the assent of two-thirds (2/3) of each class of members mortgage, pledge, deed in trust, or hypothecate any or all of its real or personal property as security for money borrowed or debts incurred;
(e) dedicate, sell or transfer all or any part of the Common Area to any public agency, authority, or utility for such purposes and subject to such conditions as may be agreed to by the members. No such dedication or transfer shall be effective unless an instrument has been signed by two-thirds (2/3) of each class of members, agreeing to such dedication, sale or transfer;
(f) participate in mergers and consolidations with other nonprofit corporations organized for the same purposes or annex additional residential property and Common Area, provided that any such merger, consolidation or annexation shall have the assent of two-thirds (2/3) of each class of members;
(g) have and to exercise any and all powers, rights and privileges with a corporation organized under the Non-Profit Corporation Law of the State of Oregon by law may now or hereafter have or exercise.
ARTICLE V (Nomination and Elections to Board of Directors)
Every person or entity who is a record owner of a fee or undivided fee interest in any lot which is subject by covenants of record to assessment by the Association, including contract sellers, shall be a member of the Association. The foregoing is not intended to include persons or entities who hold an interest merely as security for the performance of an obligation. Membership shill be appurtenant to and may not be separated from ownership of any Lot which is subject to assessment by the Association.
ARTICLE VI (Officers and Their Duties)
The Association shall have two classes of voting membership:
Class A. Class A members shall be all Owners with the exception of the Declarant and shall be entitled to one vote for each Lot owned.
When more than one person holds an interest in any Lot, all such persons shall be members. The vote for such Lot shall be exercised as they among themselves determine, but in no event shall more than one vote be cast with respect to any Lot.
Class B. The Class B member(s) shall be the Declarant and shall be
entitled to three (3) votes for each Lot owned. The Class B membership within any plat shall cease and be converted to Class A membership on the happening of either of the following events, whichever occurs earlier:
(a) when the total votes then outstanding in the Class A membership equal the total votes outstanding in the Class B membership.
(b) on January I, 1975.
ARTICLE VII (Meeting of the Board of Directors)
The affairs of this Association shall be managed by a Board of not less than five (5) and nor more than nine (9) directors, who need not be members of the Association. The number of directors may be changed by amendment of the By-Laws of the Association. The names and addresses of the persons who are to act in the capacity of directors until the selection of their successors are:
J. T. Breeden, 366 East 40th Avenue, Eugene, Oregon.
J. F. Breeden, 366 East 40th Avenue, Eugene, Oregon.
D. P. Breeden, 366 East 40th Avenue, Eugene, Oregon.
Jorgen Sorensen, 366 East 40th Avenue, Eugene, Oregon.
Ray Wiley, 366 East 40th Avenue, Eugene, Oregon.
At the first annual meeting, the members shall elect one (1) director for a term of one (1 year, two (2) directors for a term of two (2) years and two (2) directors for a term of three (3) years. Thereafter, each director shall hold office for a term of three (3) years, or until his successors shall have been elected and qualified.
ARTICLE VIII (Powers and Duties of the Board of Directors)
The Association may be dissolved with the assent given in writing and signed by not less than two-thirds (2/3) of each class of members. Upon dissolution of the Association, other than incident to a merger or consolidation, the assets of the Association shall be dedicated to an appropriate public agency to be used for purposes similar to those for which this Association was created. In the event that such dedication is refused acceptance, such assets shall be granted, conveyed and assigned to any nonprofit corporation, association, trust or other organization to be devoted to such similar purposes.
ARTICLE IX (Committees)
The corporation shall exist perpetually.
ARTICLE X (Books and Records)
Amendment of these Articles shall require the assent of seventy five percent (75%) of the entire membership.
ARTICLE XI (Assessments)
Accordion Content
ARTICLE XII (Right of Entry)
ARTICLE XIII (Corporate Seal)
ARTICLE XIV (Amendments)
ARTICLE XV (Miscellaneous)
ARTICLE XVI (Rentals)
95 Westbroook Way, Eugene, Oregon 97405-0424
© All rights reserved Edgewood Townehouse Association of Eugene, Oregon. Built on Wordpress, & Elementor by Dan Edward Goodlett @ Cave Paint Media.


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In the mathematical subject of geometric group theory, a Dehn function, named after Max Dehn, is an optimal function associated to a finite group presentation which bounds the area of a relation in that group (that is a freely reduced word in the generators representing the identity element of the group) in terms of the length of that relation (see pp. 79–80 in ). The growth type of the Dehn function is a  quasi-isometry invariant of a finitely presented group. The Dehn function of a finitely presented group is also closely connected with non-deterministic algorithmic complexity of the word problem in groups. In particular, a finitely presented group has solvable word problem if and only if the Dehn function for a finite presentation of this group is recursive (see Theorem 2.1 in ). The notion of a Dehn function is motivated by isoperimetric problems in geometry, such as the classic isoperimetric inequality for the Euclidean plane and, more generally, the notion of a filling area function that estimates the area of a minimal surface in a Riemannian manifold in terms of the length of the boundary curve of that surface.

History

The idea of an isoperimetric function for a finitely presented group goes back to the work of Max Dehn in 1910s. Dehn proved that the word problem for the standard presentation of the fundamental group of a closed oriented surface of genus at least two is solvable by what is now called Dehn's algorithm. A direct consequence of this fact is that for this presentation the Dehn function satisfies Dehn(n) ≤ n. This result was extended in 1960s by Martin Greendlinger to finitely presented groups satisfying the C'(1/6) small cancellation condition. The formal notion of an isoperimetric function and a Dehn function as it is used today appeared in late 1980s – early 1990s together with the introduction and development of the theory of word-hyperbolic groups. In his 1987 monograph "Hyperbolic groups" Gromov proved that a finitely presented group is word-hyperbolic if and only if it satisfies a linear isoperimetric inequality, that is, if and only if the Dehn function of this group is equivalent to the function f(n) = n. Gromov's proof was in large part informed by analogy with filling area functions for compact Riemannian manifolds where the area of a minimal surface bounding a null-homotopic closed curve is bounded in terms of the length of that curve.

The study of isoperimetric and Dehn functions quickly developed into a separate major theme in geometric group theory, especially since the growth types of these functions are natural quasi-isometry invariants of finitely presented groups. One of the major results in the subject was obtained by Sapir, Birget and Rips who showed that most "reasonable" time complexity functions of Turing machines can be realized, up to natural equivalence, as Dehn functions of finitely presented groups.

Formal definition

Let

be a finite group presentation where the X is a finite alphabet and where R ⊆ F(X) is a finite set of cyclically reduced words.

Area of a relation

Let w ∈ F(X) be a relation in G, that is, a freely reduced word such that w = 1 in G. Note that this is equivalent to saying that w belongs to the normal closure of R in F(X), that is, there exists a representation of w as

   (♠)

where m ≥ 0 and where ri ∈ R± 1 for i = 1, ..., m.

For w ∈ F(X) satisfying w = 1 in G, the area of w with respect to (∗), denoted Area(w), is the smallest m ≥ 0 such that there exists a representation (♠) for w as the product in F(X) of m conjugates of elements of R± 1.

A freely reduced word w ∈ F(X) satisfies w = 1 in G if and only if the loop labeled by w in the presentation complex for G corresponding to (∗) is null-homotopic. This fact can be used to show that Area(w) is the smallest number of 2-cells in a van Kampen diagram over (∗) with boundary cycle labelled by w.

Isoperimetric function

An isoperimetric function for a finite presentation (∗) is a monotone non-decreasing function

such that whenever w ∈ F(X) is a freely reduced word satisfying w = 1 in G, then
Area(w) ≤ f(|w|),
where |w| is the length of the word w.

Dehn function
Then the Dehn function of a finite presentation (∗) is defined as

Equivalently, Dehn(n) is the smallest isoperimetric function for (∗), that is, Dehn(n) is an isoperimetric function for (∗) and for any other isoperimetric function f(n) we have
Dehn(n) ≤ f(n)
for every n ≥ 0.

Growth types of functions

Because the exact Dehn function usually depends on the presentation, one usually studies its asymptotic growth type as n tends to infinity, which only depends on the group.

For two monotone-nondecreasing functions

one says that f is dominated by g if there exists C ≥1 such that

for every integer n ≥ 0. Say that f ≈ g if f is dominated by g and g is dominated by f. Then ≈ is an equivalence relation and Dehn functions and isoperimetric functions are usually studied up to this equivalence relation.
Thus for any a,b > 1 we have an ≈ bn. Similarly, if f(n) is a polynomial of degree d (where d ≥ 1 is a real number) with non-negative coefficients, then f(n) ≈ nd. Also, 1 ≈ n.

If a finite group presentation admits an isoperimetric function f(n) that is equivalent to a linear (respectively, quadratic, cubic, polynomial, exponential, etc.) function in n, the presentation is said to satisfy a linear (respectively, quadratic, cubic, polynomial, exponential, etc.) isoperimetric inequality.

Basic properties
If G and H are quasi-isometric finitely presented groups and some finite presentation of G has an isoperimetric function f(n) then for any finite presentation of H there is an isoperimetric function equivalent to f(n). In particular, this fact holds for G = H, where the same group is given by two different finite presentations.
Consequently, for a finitely presented group the growth type of its Dehn function, in the sense of the above definition, does not depend on the choice of a finite presentation for that group. More generally, if two finitely presented groups are quasi-isometric then their Dehn functions are equivalent.
For a finitely presented group G given by a finite presentation (∗) the following conditions are equivalent:
G has a recursive Dehn function with respect to (∗).
There exists a recursive isoperimetric function f(n) for (∗).
The group G has solvable word problem.
In particular, this implies that solvability of the word problem is a quasi-isometry invariant for finitely presented groups.
Knowing the area Area(w) of a relation w allows to bound, in terms of |w|, not only the number of conjugates of the defining relations in (♠) but the lengths of the conjugating elements ui as well. As a consequence, it is known that if a finitely presented group G given by a finite presentation (∗) has computable Dehn function Dehn(n), then the word problem for G is solvable with non-deterministic time complexity Dehn(n) and deterministic time complexity Exp(Dehn(n)). However, in general there is no reasonable bound on the Dehn function of a finitely presented group in terms of the deterministic time complexity of the word problem and the gap between the two functions can be quite large.

Examples

For any finite presentation of a finite group G we have Dehn(n) ≈ n.
For the closed oriented surface of genus 2, the standard presentation of its fundamental group

satisfies Dehn(n) ≤ n and Dehn(n) ≈ n.
For every integer k ≥ 2 the free abelian group  has Dehn(n) ≈ n2.
The Baumslag-Solitar group

has Dehn(n) ≈ 2n (see ).
The 3-dimensional discrete Heisenberg group

satisfies a cubic but no quadratic isoperimetric inequality.
Higher-dimensional Heisenberg groups
,
where k ≥ 2, satisfy quadratic isoperimetric inequalities.
If G is a "Novikov-Boone group", that is, a finitely presented group with unsolvable word problem, then the Dehn function of G growths faster than any recursive function.
For the Thompson group F the Dehn function is quadratic, that is, equivalent to n2 (see ).
The so-called Baumslag-Gersten group

has a Dehn function growing faster than any fixed iterated tower of exponentials. Specifically, for this group
Dehn(n) ≈ exp(exp(exp(...(exp(1))...)))
where the number of exponentials is equal to the integral part of log2(n) (see ).

Known results

A finitely presented group is word-hyperbolic group if and only if its Dehn function is equivalent to n, that is, if and only if every finite presentation of this group satisfies a linear isoperimetric inequality.
Isoperimetric gap: If a finitely presented group satisfies a subquadratic isoperimetric inequality then it is word-hyperbolic. Thus there are no finitely presented groups with Dehn functions equivalent to nd with d ∈ (1,2).
Automatic groups and, more generally, combable groups satisfy quadratic isoperimetric inequalities.
A finitely generated nilpotent group has a Dehn function equivalent to nd where d ≥ 1 and all positive integers d are realized in this way. Moreover, every finitely generated nilpotent group G admits a polynomial isoperimetric inequality of degree c + 1, where c is the nilpotency class of G.
The set of real numbers d ≥ 1, such that there exists a finitely presented group with Dehn function equivalent to nd, is dense in the interval .
If all asymptotic cones of a finitely presented group are simply connected, then the group satisfies a polynomial isoperimetric inequality.
If a finitely presented group satisfies a quadratic isoperimetric inequality, then all asymptotic cones of this group are simply connected.
If (M,g) is a closed Riemannian manifold and G = π1(M) then the Dehn function of G is equivalent to the filling area function of the manifold.
If G is a group acting properly discontinuously and cocompactly by isometries on a CAT(0) space, then G satisfies a quadratic isoperimetric inequality. In particular, this applies to the case where G is the fundamental group of a closed Riemannian manifold of non-positive sectional curvature (not necessarily constant).
The Dehn function of SL(m, Z) is at most exponential for any m ≥ 3. For SL(3,Z) this bound is sharp and it is known in that case that the Dehn function does not admit a subexponential upper bound. The Dehn functions for SL(m,Z), where m > 4 are quadratic.  The Dehn function of SL(4,Z), has been conjectured to be quadratic, by Thurston.
Mapping class groups of surfaces of finite type are automatic and satisfy quadratic isoperimetric inequalities.
The Dehn functions for the groups Aut(Fk) and Out(Fk) are exponential for every  k ≥ 3. Exponential isoperimetric inequalities for Aut(Fk) and Out(Fk) when k ≥ 3 were found by Hatcher and Vogtmann. These bounds are sharp, and the groups Aut(Fk) and Out(Fk) do not satisfy subexponential isoperimetric inequalities, as shown for k = 3 by Bridson and Vogtmann, and for k ≥ 4 by Handel and Mosher.
For every automorphism φ of a finitely generated free group Fk the mapping torus group  of φ satisfies a quadratic isoperimetric inequality.
Most "reasonable" computable functions that are ≥n4, can be realized, up to equivalence, as Dehn functions of finitely presented groups. In particular, if f(n) ≥ n4 is a superadditive function whose binary representation is computable in time  by a Turing machine then f(n) is equivalent to the Dehn function of a finitely presented group.
Although one cannot reasonably bound the Dehn function of a group in terms of the complexity of its word problem, Birget, Olʹshanskii, Rips and Sapir obtained the following result, providing a far-reaching generalization of Higman's embedding theorem: The word problem of a finitely generated group is decidable in nondeterministic polynomial time if and only if this group can be embedded into a finitely presented group with a polynomial isoperimetric function. Moreover, every group with the word problem solvable in time T(n) can be embedded into a group with isoperimetric function equivalent to n2T(n2)4.

Generalizations

There are several companion notions closely related to the notion of an isoperimetric function. Thus an isodiametric function bounds the smallest diameter (with respect to the simplicial metric where every edge has length one) of a van Kampen diagram for a particular relation w in terms of the length of w. A filling length function the smallest filling length of a van Kampen diagram for a particular relation w in terms of the length of w. Here the filling length of a diagram is the minimum, over all combinatorial null-homotopies of the diagram, of the maximal length of intermediate loops bounding intermediate diagrams along such null-homotopies. The filling length function is closely related to the non-deterministic space complexity of the word problem for finitely presented groups. There are several general inequalities connecting the Dehn function, the optimal isodiametric function and the optimal filling length function, but the precise relationship between them is not yet understood.
There are also higher-dimensional generalizations of isoperimetric and Dehn functions. For k ≥ 1 the k-dimensional isoperimetric function of a group bounds the minimal combinatorial volume of (k + 1)-dimensional ball-fillings of k-spheres mapped into a k-connected space on which the group acts properly and cocompactly; the bound is given as a function of the combinatorial volume of the k-sphere. The standard notion of an isoperimetric function corresponds to the case k = 1. Unlike the case of standard Dehn functions, little is known about possible growth types of k-dimensional isoperimetric functions of finitely presented groups for k ≥ 2.
In his monograph Asymptotic invariants of infinite groups Gromov proposed a probabilistic or averaged version of Dehn function and suggested that for many groups averaged Dehn functions should have strictly slower asymptotics than the standard Dehn functions. More precise treatments of the notion of an averaged Dehn function or mean Dehn function were given later by other researchers who also proved that indeed averaged Dehn functions are subasymptotic to standard Dehn functions in a number of cases (such as nilpotent and abelian groups).

A relative version of the notion of an isoperimetric function plays a central role in Osin' approach to relatively hyperbolic groups.
Grigorchuk and Ivanov  explored several natural generalizations of Dehn function for group presentations on finitely many generators but with infinitely many defining relations.

See also
van Kampen diagram
Word-hyperbolic group
Automatic group
Small cancellation theory
Geometric group theory

Notes

Further reading
Noel Brady, Tim Riley and Hamish Short. The Geometry of the Word Problem for Finitely Generated Groups. Advanced Courses in Mathematics CRM Barcelona, Birkhäuser, Basel, 2007. .
Martin R. Bridson. The geometry of the word problem. Invitations to geometry and topology, pp. 29–91, Oxford Graduate Texts in Mathematics, 7, Oxford University Press, Oxford, 2002. .

External links
The Isoperimetric Inequality for SL(n,Z). A September 2008 Workshop at the American Institute of Mathematics.
PDF of Bridson's article The geometry of the word problem.

Geometric group theory
Geometric topology
Combinatorics on words


Earlier this week, we published our first impressions of ASUS' new ROG Strix GL504GM SCAR II. As the guy who got to test it out for a bit, I found that it has a great display and a pretty decent design overall, even if there were some minor stuff that could've been improved.
It's been a few days and finally I've been able to test it out some more, especially on gaming. So is the SCAR II a compelling laptop for gamers looking for a portable gaming machine? Find out in our full review of the laptop here!
Unlike the GL503GE which is just a re-skin of it's predecessor, the SCAR II's design saw some upgrades; the SCAR II trades curves for a more edgy design (which I'm personally a fan of). Fans of more minimal-looking devices will love the SCAR II with its metal build and clean lines. Another thing that's great design-wise with the laptop is that the display has really thin bezels; not only will this give a more immersive experience, it also just looks smokin!
As this is a gaming laptop, the SCAR II comes with an RGB keyboard complete with a "Camo" design. Not only that the, WASD buttons are highlighted to further emphasize the SCAR II's FPS theme. Aside from the keyboard, the ROG logo also has RGB Lighting which can be controlled via the ROG AURA CORE (along with the keyboard's RGB).
The downside with the SCAR II though is that I'm not the biggest fan of the Camo pattern as it kinda looks like a dry spilled milk from afar. I'm also don't really like the boxy appearance that the laptop has (your mileage may vary though).
While the laptop's design isn't perfect, the display is as close to perfect as you can get! The SCAR II's 15.6-inch Non-glare IPS FHD (144Hz) Full HD monitor is just amazing both for gaming and binge watching, and not only because of the bezel-less design. It's 144hz refresh rate means you'll get buttery smooth video output when gaming, and it has a non-glare display that makes it a good pick for watching HD movies and TV series.
In the sound department, the GL504GM performs decently well with its 3.5w Stereo Dual Speakers and AMP Technology. For general music listening and/or binge-watching, the SCAR II is fine as it ouptuts slightly louder than other laptops such as ASUS' own GL503GE.
It might be sleek and compact laptop but the SCAR II manages to fit a whole keyboard complete with the numpad. The buttons are elevated enough that even though I have long fingers, I did not have a hard time pressing the correct keys while playing. The keys also had decent spacing as well as a good tactile feel that should satisfy most gamers (except for mechanical keyboard users of course). While the test unit that we received didn't had a gaming mouse, the Touchpad is very smooth and uses real mouse keys; of course you shouldn't just game on the touchpad.
The GL504GM SCAR II is equipped with GeForce GTX 1060, so if you want to run all games at max settings, this laptop probably won't be for you. But that doesn't mean that the GL504GM is weak in the gaming department as I did not experience any serious drop in framerate when playing Overwatch, CS:GO, League of Legends, and Dota 2 at higher settings. That's great performence, especially as I even had Google Chrome running in the background!
The 144-Hz panel proved its capabilities as well; the refresh rates is great for esports titles, as it means you'll actually see it when your games goes over 100 FPS. Heating also wasn't too much of an issue as the laptop's fans cooled the system well. Of course, all of this was tested with the laptop turned on, performance isn't as good when on battery (as expected from nearly all gaming laptops).
The SCAR II is great for gaming and it's also great for more work-oriented tasks. With an 8th gen Intel Core i7-8750H CPU (2.20GHz) and a 256GB SSD, almost any regular program will run smoothly. When you're working and not gaming, the battery can last up to 3 or 4 hours, pretty standard for a gaming laptop.
For a simple guy like me that is easy to impress, I would definitely recommend the GL504GM SCAR II for everyone who's looking for a portable gaming platform. It's beautiful display, good looks (minus the camo design), and speedy performance means this laptop is awesome in almost every way. Though it won't be getting a perfect score as it's priced just a tad high for a 1060 laptop at its current SRP.
The ASUS ROG GL504GM SCAR II has a beautiful display, good looks (minus the camo design), and great gaming performance, making this awesome in almost every way. Though there are some fairly minor issues such as the laptop being a bit on the expensive side.


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Welcome to coveted magazine!
Joana Astolfi – When Interior Architecture meets Contemporary Art
Joana Astolfi – When Interior Architecture meets Contemporary Art ⇒ Joana Astolfi is an artist, architect and designer who draws visual inspiration from a broad universe of found objects. Porcelain statuettes, miniatures, vintage chairs, lamps, toys, diaries and photographs of people she never met populate and shape her creative vision. Her artworks, installations and window displays are inspired by imperfections, mistakes and the irrepressibility of humour. CovetED had the opportunity to sit down at the Covet Lounge at Maison et Objet 2019 and to get to know the multi-talented artist a little bit better.
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What is your main source of inspiration?
That's a tricky question. For me, everything comes from art. Although I am an architect, everything comes from the basis of art, so I always make a very strong connection between art and architecture. My studio has two departments: architecture and art. But art is always my salvation. My Inspiration is strongly connected to Art. My travels, my curiosity… My inspiration comes from this.
So for you, art and architecture always go hand in hand …
Yes, in my language, yes. In our interior architecture projects, I can intervene in a transversal way. For example, the artisan participates a lot. Lately, and for a long time, the clients ask us to make artistic interventions in space. And for me it's perfect. People no longer go to a restaurant or a store to buy an object or have a meal. Nowadays, they go to have the experience.
I have to start from many years ago! I finished my degree 20 years ago. The path was to study at an international school in Lisbon, then to go to study architecture in England and then live for 12 years outside Portugal, in places such as London, Munich, Los Angeles, Venice … I have acquired a very important life experience. The two years I spent at the Benetton Factory was also very important. They are a sort of luxurious think tank filled with handpicked people from all over the world, and I learned a lot there. Then 13 years ago I went back to Lisbon and went step by step. I started with a very small space, which was a shop/atelier. I started doing some small projects, something very progressive, very natural. My ambition was not to have a studio with 20 people like I have today. It was " Let's see, let's walk. " It is a time consuming and laborious process that is constantly developing.
What Kind of projects do you do?
Like I told you, I have two departments, architecture and art. We do interior architecture projects closely linked to shops, restaurants and hotels. I don't do residential projects. It's a job I've already done, but I do not do it anymore. As for artistic projects, we carry out artistic interventions of great dimensions for stores, restaurants, hotels and public spaces. We make shop windows, where our main client is Hermès, with whom we have worked with for 5 years. I am very selective with the windows projects. I do not consider myself a window-dresser, we do a more theatrical work.
Can you walk us through your creative process?
Research is key. It's like you create a hard drive in your brain. Each project is a problem that you have to solve, and each has its own restrictions. And then I go to that hard drive to get the solutions, and they start to show up. The client gives us a briefing and I always do two or three brainstorms with the team. I like to do it with everyone, with the craftsmen, the sculptors, the technical drawing people … I think everyone should be part of this creative process. And then we began to filter ideas. We dream very loud, and I think that's very important. When we already have 2-3 solutions, we call the client, the client gives us his feedback, sometimes we tune a few things, and then we start working on the project.
What are the characteristics that cannot be lacking in a work of your own?
The concept has to be very strong. I always have to tell a story, and it has to be one that is perceptible. Nowadays, for example, with José Avillez, we do everything. From space to the menu, to the presentation of the table to the way they serve. The narrative, the concept, the rigour of the project, the execution are crucial in my projects and so are consistency, risk-taking making mistakes.
Is storytelling mandatory in your works?
Storytelling is the basis of my work. For example, when we made the Claus shop, we had to go to the archives and search for old books with wrapping papers at the age of 150. The important thing for me is to tell my story. But I have to do a lot of research to understand the story well.
Do you have a project that you particularly enjoyed doing?
It is a very difficult question that I have been asked many times. Each project is a different story. In terms of challenges, I can highlight the Bairro do Avillez, which was a great challenge to recreate all that interior, that giant wall of concrete of 30m by 10 m, getting the doors, windows, tiles … All kinds of objects that you find in a typical home of the Bica Neighbourhood.
And the hardest one?
The problem is always the deadline. The Bairro do Avillez was very difficult. Another one that was difficult, especially since I never did anything of the sort, was the Food court of the Strada Shopping in Odivelas. I rejected the project three times, but the third time I sat down with the team and we did it. It was a project that lasted 2 years. It was difficult to kick off, and it was difficult because of its size, which is about 2000m2.
Which are the main challenges that you usually face?
The deadline is always a pivotal question. People always ask for the projects for yesterday. In architecture people still, understand that it is a work that takes some time. But art takes a long time. One of the most important things in the execution of a work of art is time. We are artisans and we need time. But there are a lot of people who do not understand. The budget is very important too. Sometimes we have problems with the budget.
What would be your dream project?
Doing my own home. It has always been a dream of mine and I'm working towards it. But, I'd love to work on a church. It's a peaceful place of self-contemplation, and I'd love to do one.
Image credits: Joana Astolfi Studio
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Q: How to convert this to LINQ I want to convert this query to LINQ.
select sup.firstname, sup.lastname, sup.bankaccountnumber, tbl.total  from  (select nfcids_id, sum(purchasecost) as total
from tbl_milkpurchases
group by nfcids_id)   tbl inner join tbl_nfcids nfc on tbl.nfcids_id = nfc.id inner join tbl_suppliers sup on nfc.suppliers_id = sup.id

A: Try this query
var obj= from a in Context.tbl_milkpurchases.GroupBy(x=>x.nfcids_id).Select(x=>new{x.nfcids_id,total=Sum(x.purchasecost)})
                 from b in Context.tbl_nfcids.where(x=>x.id==a.nfcids_id)
                 from c in Context.tbl_suppliers.where(x=>x.id==b.suppliers_id)
                 Select new{c.firstname, c.lastname, c.bankaccountnumber, a.total}


We all know we love to receive wonderful items for our gliders and this wouldn't be possible without the generous donors of the glider community. Donating to the SGGA Door prizes & Goody bags is a great way of sharing your talents - so calling all talented vendors- We'd love to see your great products.
Not a vendor- that's ok- everyone can contribute.
We always have great treasures in our Goody bags -Items donated to the goody bags or door prizes do not have to be glider related- there are always great "human" gifts in the door prizes.
We are filling 150 Goody Bags this year. But don't let that number scare you- you could always grab a friend and share on the goody's you donated.
Your time & donations are greatly appreciated & if you have a business card, you'd like to share- please send them as well.
Every donation no matter how big or small makes the SGGA that much better!!!