Here is the award winner for 2016 BELK Tile Scholarship!
My name iѕ Jillian Pomante аnd I am еxсitеd for my future as an intеriоr dеѕignеr. My dream iѕ tо become аn intеriоr dеѕignеr. Sinсе I was сhild, I аm intеrеѕtеd in creating things. An intеriоr dеѕignеr is соnсеrnеd with every tуреѕ оf building ѕuсh as оffiсеѕ, hоmеѕ, rеѕtаurаntѕ, hotels аnd hospitals. Besides tо thе соnсеrnѕ with lighting, furniturе, tеxturеѕ аnd соlоrѕ.
I hope to bесоmе a professional intеriоr dеѕignеr bесаuѕе I hаvе thе соmmitmеnt to excel in thiѕ profession and not juѕt to bе аn interior dеѕignеr, I wаnt tо reach my full роtеntiаl аѕ a ѕtudеnt аnd аѕ a рrоfеѕѕiоnаl and I think уоur ѕсhоlаrѕhiр presents the challenges thаt саn make mу рrоfеѕѕiоnаl intеriоr dеѕign drеаm tо become a rеаlitу. Intеriоr dеѕign hаѕ аlwауѕ been mу раѕѕiоn, аnd I have been lооking fоr the right орроrtunitу tо hеlр reach mу dreams аnd fulfill mу gоаlѕ, I hаvе always known thаt I wаntеd to be аn intеriоr dеѕignеr because it came naturally tо mе. Whеn I wаlk intо a rооm, I immediately bеgin еvаluаting it fоr color ѕсhеmеѕ, сооrdinаtiоn of shapes, and everything thаt dеtеrminеѕ the interior dеѕign оf a ѕрасе.
Onе оf thе main rеаѕоnѕ whу I аm intеrеѕtеd in Intеriоr Dеѕign is because it аllоwѕ mе tо gеt creative to solve a problem. I еnjоу thе challenge оf intеgrаting thе ѕрасе I аm tо wоrk with, thе сliеnt'ѕ nееdѕ, thе budget I am givеn, аmоng other factors. What influenced mу intеrеѕt оf dеѕigning wаѕ thе соnѕtаnt сhаngе оf еnvirоnmеntѕ. My family mоvеd tо new homes frequently, аnd wеrе соnѕtаntlу rеnоvаting аnd uрgrаding. Before moving intо a newly built hоuѕе, mу раrеntѕ would always request personalized сhаngеѕ tо thе flооr рlаn. Whеn mаking thеѕе changes, thеу would ѕtrivе tо imрrоvе the funсtiоnаlitу оf the hоmе, to ассоmmоdаtе hоw оur fаmilу wоuld uѕе thе space. Thеir аttitudе оf nоt ѕеttling fоr lеѕѕ and mаking their viѕiоnѕ a reality were inѕtillеd in mе.
I knоw that I can bе a роѕitivе fоrсе in thiѕ рrоfеѕѕiоn bесаuѕе I have thе drive аnd раѕѕiоn to ѕuссееd in thiѕ field lооking forward to collaborating with others аnd ѕееing whаt diffеrеnt реорlе offer, I bеliеvе that I hаvе thе idеаѕ аnd аbilitiеѕ, аlѕо knоws thаt thеrе iѕ a lоt tо lеаrn оn thе ѕubjесt. My long-term goal iѕ tо one-day mаnаgе mу оwn design firm, but fоr now I wаnt tо take my timе аnd lеаrn thе bаѕiсѕ оf thе рrоfеѕѕiоn. I knоw I hаvе whаt it takes ѕuссееd in thiѕ fiеld and if I аm given thе chance tо еxсеl аt thiѕ ѕсhоlаrѕhiр I wоn't lеt anything diѕturb mе frоm bесоming аn intеriоr designer.
I understand thаt to bе an intеriоr dесоrаtоr, уоu ѕhоuld follow ѕоmе steps. Firstly, you ѕhоuld educate уоurѕеlf by knоwing аbоut how уоu саn arrange furniture аnd uѕе of colors in particular spaces. Secondly, practice at your hоmе by сhаnging thе соlоr of уоur room or mаkе аnу changes. Thirdlу; уоu саn train уоur еуеѕ. Whеn уоu enter аnу room уоu ѕhоuld knоw whаt lооkѕ good аnd whаt is needed tо imрrоvе.
My upbringing аnd асаdеmiс еxреriеnсеѕ аrе the twо mаjоr components that drоvе mу interest towards bесоming a рrоfеѕѕiоnаl Interior Dеѕignеr.


text:
Business, news No Comments
Bowery Market Gets a Double Dosa New Vendors
September 19, 2017 By Daniel Maurer
The Bowery Market, the cluster of outdoor food stalls on the corner of Bowery and Great Jones, is getting a couple of new vendors. The first, Dosa Royale, is already serving South Indian grub, and the second, Kokus, will start serving coconut soft-serve out of a pop-up location next month.
Dosa Royale, opened by the folks behind Fort Greene's Dino as a stall at Brooklyn Flea, replaces Parantha Alley, and, like its predecessor, specializes in Indian street food. In this case it's vegan, gluten-free dosas, crepe-like rice pancakes that are stuffed with fillings like masala potato or spinach and cheese, and served alongside two chutneys and a few spoonfuls of the lentil-based stew known as sambar. The stand also offers a $10 tiffin box (a sort of Indian bento box) featuring meat or veggie curry and rice, egg, salad, and bread. To drink, there are lassis as well as not-often-seen Indian sodas like Limca (a version of Sprite) and Thums Up cola.
Courtesy of Kokus.
Kokus, another member of the Brooklyn Flea/Smorgasburg family, will pop up in the former Butcher's Daughter stall from Oct. 4 to 8. It specializes in allergen-free, "plant-based" soft-serve made from coconut cream, coconut water, coconut oil, and honey. The stall will serve up its usual lemon-vanilla tart and raw cacao flavors, and will also debut a Blue Majik variety, made with spirulina. The pop-up (one of several) will serve as a preview of a brick-and-mortar location coming next year.
« Greenpointer Arrested for FiDi Vandalism; Native Leather Ends 49 Year Run » 'Beast' of a Wurlitzer Will Be Taken For a Whirl Before Brooklyn Paramount Restoration

redpajama_set_name: RedPajamaCommonCrawl


Abstract Length-weight relationships (LWRs) were evaluated for Jinshaia sinensis (Sauvage & Dabry de Thiersant, 1874) and Lepturichthys fimbriata (Gunther, 1888) using a total of 289 specimens caught by gill nets (mesh size 5.0cm) and angling in the Yalong River, southwestern China during February and March 2007. This study presents the first reference on LWR for these species from the Yalong River.
GB/T 7714 Duan, Y. J.,Tan, D. Q.. Length-weight relationships of two fish species from Yalong River, southwestern China[J]. JOURNAL OF APPLIED ICHTHYOLOGY,2016,32(6):1259-1260.
APA Duan, Y. J.,&Tan, D. Q..(2016).Length-weight relationships of two fish species from Yalong River, southwestern China.JOURNAL OF APPLIED ICHTHYOLOGY,32(6),1259-1260.
MLA Duan, Y. J.,et al."Length-weight relationships of two fish species from Yalong River, southwestern China".JOURNAL OF APPLIED ICHTHYOLOGY 32.6(2016):1259-1260.


text:
18 LISTSWhat's In a Name?
Lists about and ranking the best, worst, most interesting, and most surprising names of real people, normal and famous.
Who Is The Most Famous Gavin In The World?
Celebrity Lists
Updated December 20, 2020 409 votes 22 voters 14.5k views47 items
List RulesVote up all of the Gavins you've heard of.
How many celebrities named Gavin can you think of? The famous Gavins below have many different professions, including notable actors named Gavin, famous athletes named Gavin, and even musicians named Gavin.
Gavin Rossdale is certainly one of the most famous Gavins on this list. One of the famous rock stars named Gavin, he is best known as the frontman of the band Bush. He is also an actor who has appeared in The Bling Ring, Zoolander, and Little Black Book. Gavin DeGraw is another famous singer named Gavin.
Another of the famous people with the first name Gavin is Gavin Newsom. He is a businessman and politician. He became the 40th governor of California in 2019.
Did we forget one of your favorite famous people named Gavin? Just add them to the list!
Birthplace: Kilburn, London, England, London
Gavin McGregor Rossdale is an English singer, songwriter, musician, and actor, and is the lead... more on Wikipedia
More Gavin Rossdale
#161 of 298 The Best Frontmen in Rock#97 of 125 Current Singers You Most Wish You Could Sound Like
Gavin MacLeod
Birthplace: USA, New York, Mount Kisco
Gavin MacLeod (born Allan George See; February 28, 1931) is an American film and television... more on Wikipedia
Birthplace: California, United States of America
Gavin Christopher Newsom (born October 10, 1967) is an American politician and businessman who... more on Wikipedia
#10 of 51 The Most Important Politicians Of 2019#217 of 432 Famous Tall Men Over 6'2
Birthplace: Johannesburg, South Africa
Gavin Hood (born 12 May 1963) is a South African filmmaker, screenwriter, producer, and actor,... more on Wikipedia
Gavin DeGraw
Birthplace: South Fallsburg, Fallsburg, New York, USA
Gavin Shane DeGraw (born February 4, 1977) is an American musician, singer and songwriter. He... more on Wikipedia
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The Best Gavin DeGraw Songs#148 of 461 The Best Current Pop Groups/Singers
Gavin Mitchell
Birthplace: Glasgow, Scotland
Gavin Mitchell (born 16 December 1964) is a Scottish actor and comedian, best known for... more on Wikipedia
Gavin O'Connor
Birthplace: Long Island, New York, United States of America
Gavin O'Connor (born October 30, 1964) is an American film director, screenwriter, producer,... more on Wikipedia
Gavin Purcell
Birthplace: Seattle, Washington
Gavin Purcell is currently the co-producer of Late Night with Jimmy Fallon, and former... more on Wikipedia
Birthplace: Guildford, United Kingdom
Gavin Turk (born 1967) is a British artist, and is considered to be one of the Young British... more on Wikipedia
Birthplace: Harrow, London, London, United Kingdom
Gavin Harrison (born 28 May 1963) is an English musician. He is best known for playing with... more on Wikipedia
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#57 of 532 The Best Drummers Of All Time#90 of 226 Famous Jazz Drummers
Gavin Heffernan
Birthplace: Oakville, Canada
Gavin Heffernan (born April 2, 1980) is a Canadian filmmaker/screenwriter/photographer. He... more on Wikipedia
Gavin Creel
Birthplace: Findlay, Ohio, United States of America
Gavin James Creel (born April 18, 1976) is an American actor, singer, and songwriter. Creel is... more on Wikipedia
Gavin Friday
Birthplace: Republic of Ireland, Dublin
Gavin Friday (born Fionán Martin Hanvey, 8 October 1959) is an Irish singer and songwriter,... more on Wikipedia
Birthplace: Goole, United Kingdom
Richard Gavin Bryars (; born 16 January 1943) is an English composer and double bassist. He... more on Wikipedia
Gavin Frost
Gavin Frost, B.Sc., PhD, D.D., is an occult author, a Wiccan Priest, a doctor of Physics and... more on Wikipedia
Gavin Free
Birthplace: Hillingdon, United Kingdom
Gavin David Free is an English filmmaker and actor. Originally from Thame in Oxfordshire, he... more on Wikipedia
Gavin Skinner
Birthplace: Scotland
Film Television composer, once drummer of various bands artists including; Primal Scream,...
Gavin Kaysen
Birthplace: Thousand Oaks, California, United States of America
Gavin Kaysen (born 1979 in Thousand Oaks, California) is executive chef and owner of Spoon and... more on Wikipedia
Gavin Douglas
Birthplace: Tantallon Castle, United Kingdom
Gavin Douglas (c. 1474 – September 1522) was a Scottish bishop, makar and translator. Although... more on Wikipedia
Gavin Polone
Gavin Polone is an American film producer, television director and television producer. He... more on Wikipedia
Gavin Ewart
Birthplace: London, United Kingdom
Gavin Buchanan Ewart (4 February 1916 – 25 October 1995) was a British poet who contributed to... more on Wikipedia
Gavin Morgan
Birthplace: Scarborough, Toronto, Canada
Morgan Gavin (born July 9, 1976) is a former Canadian professional ice hockey forward. He... more on Wikipedia
Gavin Russom
Birthplace: Providence, Rhode Island
Gavin Rayna Russom (born May 1, 1974) is an American electronic music producer, musician, and... more on Wikipedia
Gavin Fingleson
Gavin Fingleson (born 5 August 1976, in Johannesburg, South Africa) is an Australian... more on Wikipedia
Gavin Henson
Birthplace: Pencoed, United Kingdom
Gavin Lloyd Henson (born 1 February 1982) is a Welsh rugby union player who currently plays... more on Wikipedia
top 100top 10
Top 10 Current Queries in People: auburn quarterback 2017alumni of university of pennsylvaniadubbed anime meaningmumford and sons top songsthe king of everything songsupernatural tv show board gametop ten country flagsJason Statham wifeBest Tuxedo Brandsthings you can do with your cell phone


This EP application has the IPC class D04 (BRAIDING; LACE-MAKING; KNITTING; TRIMMINGS; NON-WOVEN FABRICS). Raffay & Fleck is specialized in D04. Here you find a list of all patent agent firms which are specialized in this IPC class. For a similar patent, they might be a good choice.


Made with a new type by-polymer coating that disperses liquid contamination and prohibits permeation, the Tornado OIL1 Oil-Teq 1 3/4 Coated Industrial Safety Gloves are super adept for safe handling in areas of high oil intensity. This makes them perfect for use in engineering, automotive manufacturing, and oil and gas sector.
The Oil-Teq 1 3/4 Coated Industrial Safety Gloves feature a 3/4 palm coating of NBR dip with a unique technical microporous synthetic. This enhances the grip of the gloves, ensuring that work can be carried out as normal without reducing the ability to handle materials. This coating also adds extra protection for the hands, working to keep them dry from oil and liquids while providing more efficient grip.
The Oil-Teq 1 3/4 Coated Industrial Safety Gloves are available in three sizes that should suit the hands of most users. Please measure the circumference of your hand around the knuckles (excluding the thumb) with your hand open and your fingers together, and the length of your hand from the tip of your middle finger to your wrist.


text:
Cedros (uit het Spaans: "Ceders") is een gemeente (gemeentecode 0803) in het departement Francisco Morazán in Honduras.

Het gebied is al lang door de Spanjaarden bewoond. Er is een document uit 15 april 1567 bewaard gebleven dat geschreven is in het dorp Agalteca in deze gemeente. Het gaat over de aankoop van een stuk grond door generaal Alonzo de Cáceres Guzmán.

Het is een historische plaats. Op 19 augustus 1824 vond in Cedros het eerste Congres plaats voor de vorming van de Staat Honduras. Hier werd de beslissing genomen dat Tegucigalpa en Comayagua om beurten de hoofdstad van het land zouden zijn. In 1849 vond hier nog een Congres plaats. Hierin werd bepaald dat Tegucigalpa de definitieve hoofdstad was.

De hoofdplaats ligt op 84 kilometer van Tegucigalpa, op een geaccidenteerd terrein in het noorden van het Dal van Siria.

Bevolking
De bevolking is als volgt verdeeld:

Dorpen
De gemeente bestaat uit twaalf dorpen (aldea), waarvan de grootste qua inwoneraantal: Mata de Platano (code 080309), Pueblo Nuevo (080310) en Siria (080311).

Gemeente in Francisco Morazán

redpajama_set_name: RedPajamaWikipedia


text:
using GitVersion.Configuration.Init.Wizard;
using GitVersion.Extensions;
using GitVersion.Logging;
using GitVersion.Model.Configuration;
using Microsoft.Extensions.Options;

namespace GitVersion.Configuration;

public class ConfigProvider : IConfigProvider
{
    private readonly IFileSystem fileSystem;
    private readonly ILog log;
    private readonly IConfigFileLocator configFileLocator;
    private readonly IOptions<GitVersionOptions> options;
    private readonly IConfigInitWizard configInitWizard;
    private readonly IGitRepositoryInfo repositoryInfo;

    public ConfigProvider(IFileSystem fileSystem, ILog log, IConfigFileLocator configFileLocator,
        IOptions<GitVersionOptions> options, IConfigInitWizard configInitWizard, IGitRepositoryInfo repositoryInfo)
    {
        this.fileSystem = fileSystem.NotNull();
        this.log = log.NotNull();
        this.configFileLocator = configFileLocator.NotNull();
        this.options = options.NotNull();
        this.configInitWizard = configInitWizard.NotNull();
        this.repositoryInfo = repositoryInfo.NotNull();
    }

    public Config Provide(Config? overrideConfig = null)
    {
        var gitVersionOptions = this.options.Value;
        var workingDirectory = gitVersionOptions.WorkingDirectory;
        var projectRootDirectory = this.repositoryInfo.ProjectRootDirectory;

        var rootDirectory = this.configFileLocator.HasConfigFileAt(workingDirectory) ? workingDirectory : projectRootDirectory;
        return Provide(rootDirectory, overrideConfig);
    }

    public Config Provide(string? workingDirectory, Config? overrideConfig = null)
    {
        var configurationBuilder = new ConfigurationBuilder();
        if (workingDirectory != null)
            configurationBuilder = configurationBuilder.Add(this.configFileLocator.ReadConfig(workingDirectory));
        return configurationBuilder
            .Add(overrideConfig ?? new Config())
            .Build();
    }

    public void Init(string workingDirectory)
    {
        var configFilePath = this.configFileLocator.GetConfigFilePath(workingDirectory);
        var currentConfiguration = this.configFileLocator.ReadConfig(workingDirectory);

        var config = this.configInitWizard.Run(currentConfiguration, workingDirectory);
        if (config == null || configFilePath == null) return;

        using var stream = this.fileSystem.OpenWrite(configFilePath);
        using var writer = new StreamWriter(stream);
        this.log.Info("Saving config file");
        ConfigSerializer.Write(config, writer);
        stream.Flush();
    }
}

redpajama_set_name: RedPajamaGithub


Tableware : Tablecloth For Round Table 70 Inch Round Tablecloth Banquet Tablecloths Fancy Tablecloths Linen Tablecloths For Sale. Accent Table Linens. Long Tablecloths Sale. Light Orange Tablecloth. White Cloth Table Covers.
By B15MiLl4hcodingcolor. Tableware. At Friday, March 01st 2019, 11:55:21 AM.
44 out of 100. Rated by 874 users.


Delaware Valley Vietnam Veterans is a more suitable polling place location for the residents of Bristol Township 5-1 voting district. This will be a permanent relocation.
Doylestown Township Building is undergoing renovations for the years 2017 and 2018. This will be a temporary relocation.
Doylestown Township Activity Building is undergoing renovations for the years 2017 and 2018. This will be a temporary relocation.
Voters in those districts will be notified by mail of the change. Detailed information about all of the county's 306 voting districts is available on the Board of Elections pages on the official county website, www.BucksCounty.org. That information can be accessed on the right side of the home page.
Commissioners Martin and Marseglia also approved three referendum question: the New Hope Borough Ambulance and Rescue Squad Annual Millage Tax Referendum, the Richland Township Supervisors increase (from three to five) Referendum and Solebury Township's Proposed Increase in Funding to Support 24-Hour Advanced Life Support, Ambulance and Emergency Services.


⬅ What Will He Do with $100?
It's the trap that leads to regrets.
Every story has a hero—an impact maker. Think about your personal story? As the hero or heroine of your story, what stands out the most? What moment, experience or achievement are you most proud of? Why?
Was your proudest moment a highlight (maybe the highlight) or simply a milestone along your path. What is amazing to learn is that the stories of people late in life share a similar theme—regret.
Do you imagine or dream of your life story being littered with regrets? No one does. No matter who we are we envision having an impact—crossing the finish line and seeing it as a sunset that radiates the vibrancy of our journey. A sunset that shines light and warmth on the people we love, the teams we led and the causes that stirred our heart.
In the midst of life's unexpected circumstances and changing seasons, it is easy to allow the inertia of life to blind us to the steady march of time and rob us of opportunities for impact.
Great and lasting impact is not reserved for those who are placed on a grand and opulent stage. Impact results from intentionally directing the stewardship of your time, talent and resources towards touching and changing lives. Impact is about becoming the hero of your own race.
"What will be lost if you don't run the courageous race? Who will be left behind? Who will miss your intended and needed contribution? What victories will be framed as a regret. Think about these questions when you watch this video.
Regrets will litter the stories of everyone who fails to recognize that every day presents us with an opportunity to begin a new race—to pursue actions that positively impact the people you love, teams you lead and causes that stir your heart.


Yoox.biz website is scored 435 1Pagerank.com points (1PRS) and has a global traffic ranking of 184,097 in the world. This website Google PageRank is 0 out of maximum 10 and its estimated worth is about $ 35,400.00. It has potential to earn online around $ 59.00 US Dollar daily. Yoox.biz was registered 1 decade 6 years ago (2002-10-18) and is hosted in , , . As no recently active internet threats were reported, Yoox.biz is probably SAFE to browse.


text:
namespace IECore
{

/// Base class for data conversions
template<typename F, typename T>
struct SpaceTransform : public std::unary_function<F, T>
{
	typedef F FromType;
	typedef T ToType;

	/// The type of the converter that can perform the inverse transformation
	typedef SpaceTransform<T, F> InverseType;

	virtual ~SpaceTransform()
	{
	}

	T operator()( const F &f )
	{
		return transform( f );
	}

	InverseType inverse() const
	{
		/// Function is not invertible
		BOOST_STATIC_ASSERT( sizeof(T) == 0 );
	}

	virtual T transform( const F &f ) = 0;

};

} // namespace IECore

#endif // IE_CORE_SPACETRANSFORM_H


text:
HomeAngolaVinda
Best time to visit, weather and climate Vinda
Best time to visit Vinda, Angola
The best time to visit Vinda in Angola is from january until october, when you will have a warm temperature and limited till mediocre rainfall. The highest average temperature in Vinda is 32°C in july and the lowest is 28°C in december.
The average climate figure for Vinda is an 8,2. This is based on various factors, such as average temperatures, the chance of precipitation and weather experiences of others.
Vinda has the tropical savanna climate prevailing. If you want to know what the average temperature is in Vinda or when most precipitation (rain or snow) falls, you can find an overview below. This way, you are well prepared. Our average monthly climate data is based on data from the past 30 years.
Climate Vinda per month
All climate data from Vinda
Vinda in brief
Coordinates 6° 1' S, 15° 0' E
Climate Vinda
Vinda has the tropical savanna climate prevailing. It is warm every month with both a wet and dry season. The average annual temperature for Vinda is 29° degrees and there is about 418 mm of rain in a year. It is dry for 146 days a year with an average humidity of 78% and an UV-index of 7.
days 27 23 25 26 22 5 2 4 15 25 28 29
days 4 5 6 4 9 25 29 27 15 6 2 2
per day 8 8 8 7 7 7 9 10 9 6 7 8
Weather Vinda january
On average, it is maximum 29° in january in Vinda and at least around 21° degrees. In january there are 27 days of rainfall with a total of 146 mm and the it will be dry 4 days this month in Vinda.
Weather Vinda february
On average, it is maximum 30° in february in Vinda and at least around 21° degrees. In february there are 23 days of rainfall with a total of 101 mm and the it will be dry 5 days this month in Vinda.
Weather Vinda march
On average, it is maximum 31° in march in Vinda and at least around 21° degrees. In march there are 25 days of rainfall with a total of 100 mm and the it will be dry 6 days this month in Vinda.
Weather Vinda april
On average, it is maximum 30° in april in Vinda and at least around 21° degrees. In april there are 26 days of rainfall with a total of 130 mm and the it will be dry 4 days this month in Vinda.
Weather Vinda may
On average, it is maximum 30° in may in Vinda and at least around 21° degrees. In may there are 22 days of rainfall with a total of 78 mm and the it will be dry 9 days this month in Vinda.
Weather Vinda june
On average, it is maximum 31° in june in Vinda and at least around 19° degrees. In june there are 5 days of rainfall with a total of 4 mm and the it will be dry 25 days this month in Vinda.
Weather Vinda july
On average, it is maximum 32° in july in Vinda and at least around 19° degrees. In july there are 2 days of rainfall with a total of 1 mm and the it will be dry 29 days this month in Vinda.
Weather Vinda august
On average, it is maximum 32° in august in Vinda and at least around 20° degrees. In august there are 4 days of rainfall with a total of 4 mm and the it will be dry 27 days this month in Vinda.
Weather Vinda september
On average, it is maximum 32° in september in Vinda and at least around 21° degrees. In september there are 15 days of rainfall with a total of 24 mm and the it will be dry 15 days this month in Vinda.
Weather Vinda october
On average, it is maximum 30° in october in Vinda and at least around 22° degrees. In october there are 25 days of rainfall with a total of 113 mm and the it will be dry 6 days this month in Vinda.
Weather Vinda november
On average, it is maximum 29° in november in Vinda and at least around 21° degrees. In november there are 28 days of rainfall with a total of 201 mm and the it will be dry 2 days this month in Vinda.
Weather Vinda december
On average, it is maximum 28° in december in Vinda and at least around 21° degrees. In december there are 29 days of rainfall with a total of 189 mm and the it will be dry 2 days this month in Vinda.
14 day weather forecast Vinda
The weather for Vinda in Angola will be 29° till 27° degrees in the next 14 days with several days chance of light rain showers or even quite a bit of rain.
Weather experiences Vinda
Already been to Vinda?
Share your experience of the Vinda weather and get a chance to win $150!
Vacation Vinda
Hotels and apartments in Vinda
If you do not want to book a package tour, you can use Booking.com for the cheapest hotels, apartments and other accommodations in Vinda
Flight tickets to Vinda
The 3 nearest airports to Vinda you can fly to are:
Mbanza Congo Airport (88 km)
Mbanza Congo
Ndjili International Airport (188 km)
Negage Airport (195 km)
Through our partners below you will find the cheapest flight tickets for Vinda. Click on a logo to visit the website or take a look on Skyscanner for the cheapeast flight tickets from all the airline companies.
About Vinda
Vinda lies in Angola in the province Uíge. If you want to call Vinda you have to use +244 or 00244 before the phone number without the first 0 in the original phone number (if it occurs). If the normal number is 05012457809, for example, you can remove the first 0 and call +2445012457809 or 002445012457809.
Vinda is in a straight line at 6.557 km distance from London. From London-Heathrow the flight time is about 9 hours5.
The coordinates of Vinda, Angola are latitude: -6.019478 en longitude: 15.006255
The GPS coordinates are S 6° 1' 10.2000" en E 15° 0' 22.6800"
Niet de bestemming "Vinda" die je zoekt?
Vinda (Zaire)
Vinda (Uíge)
Currency Vinda
In Vinda the Angolan kwanza is used to pay.
Time difference Vinda
In Vinda it is now 10:17 o'clock in the morning on saturday 16 january 2021. That is 6 hour later than in United States. The time zone of Vinda is Africa/Luanda and the Greenwich time is UTC+01.
Vaccinations Vinda
These vaccinations may differ per person and / or be advised on the basis of the stay in Vinda.


We had a few snow days last week so I was able to spend time creating. If I didn't have to work full-time, I would really be able to create more!
I picked up this Doodlebug paper pack and noticed how well some of the papers match a few of the My Creative Time dies and stamps. I loved how the light bulbs in this paper even have the heart like the die/stamp!


text:
Q: OOP Project - Beginner - looking for feedback Hi I just finished a VERY Basic airline reservation system. Wanted some feedback please let me know what you all think, if I am obfuscating information or passing parameters where I shouldn't or if things don't make sense
Airline Class: handles booking and refunds
Passenger: Has a seat assignment, and a balance to pay for ticket
Seat:
Firstclass and Coach
Plane:
a dictionary object holding seats and passengers get passed as values to those seats
here is my code:
class Airline:

    def __init__(self, name=None):
        self._name = name
        self._booked = []

    def get_name(self):
        return self._name

    def set_name(self, name):
        self._name = name

    def book(self, passenger, plane, cls=None):
        while cls not in ['first class', 'coach']:

            cls = input("Please pick a seat: First class or Coach ").lower()

            if cls not in ['first class', 'coach']:
                print("Please select either from 'first class' or 'coach'")
                pass
        if cls == 'first class':
            first_class = ([(number, seat) for number, seat in enumerate(plane.capacity)][0:10])
            choice = None
            while choice not in range(10):
                try:
                    choice = int(input(f"Please select a number between 0 and 9 for your seats: "))
                except ValueError:
                    print("Please select a valid number between 0 and 9")
                if choice in self._booked:
                    print(f"That seat is taken please choose another seat\n"
                          f"These seats are booked: {self._booked}")
                    choice = None
            for seat in first_class:
                if seat[0] == choice:
                    plane.capacity[seat[1]] = passenger
                    passenger._balance = passenger._balance - seat[1].price
                    self._booked.append(seat[0])
                    passenger._assignment = seat[1].tier + f" seat {seat[0]}"
        else:
            coach = ([(number, seat) for number, seat in enumerate(plane.capacity)][10:50])
            choice = None
            while choice not in range(10, 50):
                try:
                    choice = int(input(f"Please select a number between 10 and 50 for your seats: "))
                except ValueError:
                    print("Please select a valid number between 10 and 50")
                if choice in self._booked:
                    print(f"That seat is taken please choose another seat\n"
                          f"These seats are booked: {self._booked}")
                    choice = None
            for seat in coach:
                if seat[0] == choice:
                    plane.capacity[seat[1]] = passenger
                    passenger._balance = passenger._balance - seat[1].price
                    self._booked.append(seat[0])
                    passenger._assignment = seat[1].tier + f" seat {seat[0]}"

    def refund(self, passenger, plane):
        for i, (seat, person) in enumerate(plane.capacity.items()):
            if person == passenger:
                plane.capacity[seat] = None
                passenger._balance = passenger._balance + seat.price
                passenger._assignment = None
                self._booked.remove(i)

class Passenger:

    def __init__(self, balance=1000, assignment=None):
        self._balance = balance
        self._assignment = assignment

    def get_balance(self):
        return self._balance

    def get_assignment(self):
        return self._assignment

class Seat:

    def __init__(self):
        pass

class FirstClass(Seat):

    def __init__(self):
        super().__init__()
        self.tier = 'First Class'
        self.price = 500

class Coach(Seat):

    def __init__(self):
        super().__init__()
        self.tier = 'Coach'
        self.price = 100

class Plane:

    def __init__(self):
        self.capacity = {}
        temp_capacity = []  # Create a temporary list to append seats into ( this will be the seats in the airplane)
        for i in range(10):  # first 10 seats are first class
            temp_capacity.append(FirstClass())
        for i in range(10, 50):  # last 40 seats are coach class
            temp_capacity.append(Coach())
        for seat in temp_capacity:
            self.capacity[seat] = None  # Each seat has no value(person) assigned

    def view_plane(self):
        for i, k in self.capacity.items():
            print(f"{i} : {k}")

    def get_available_seats(self):
        count = 0
        for value in self.capacity.values():
            if value is None:
                count += 1
        return count

Running this below: (Will output how I envisioned the plane to be built and how seats are assigned to passengers, etc.)
plane = Plane()
p = Passenger()
p2 = Passenger()
p3 = Passenger()
airline = Airline()

plane.view_plane()
airline.book(p, plane)
airline.book(p2, plane)
print(airline._booked)
print(f"passenger 1 balance: {p.get_balance()}\n"
      f"passenger 1 assignment: {p.get_assignment()}\n"
      f"passenger 2 balance: {p2.get_balance()}\n"
      f"passenger 2 assignment: {p2.get_assignment()}\n"
      f"Number of seats available: {plane.get_available_seats()}\n"
      f"Number of seats booked: {len(airline._booked)}")
plane.view_plane()
airline.book(p3, plane)
plane.view_plane()
print("--------------")
print(airline._booked)
print(f"passenger 1 balance: {p.get_balance()}\n"
      f"passenger 1 assignment: {p.get_assignment()}\n"
      f"passenger 2 balance: {p2.get_balance()}\n"
      f"passenger 2 assignment: {p2.get_assignment()}\n"
      f"passenger 3 balance: {p3.get_balance()}\n"
      f"passenger 3 assignment: {p3.get_assignment()}\n"
      f"Number of seats available: {plane.get_available_seats()}\n"
      f"Number of seats booked: {len(airline._booked)}")
print("----------------")
airline.refund(p2, plane)
print(airline._booked)
print(f"passenger 1 balance: {p.get_balance()}\n"
      f"passenger 1 assignment: {p.get_assignment()}\n"
      f"passenger 2 balance: {p2.get_balance()}\n"
      f"passenger 2 assignment: {p2.get_assignment()}\n"
      f"passenger 3 balance: {p3.get_balance()}\n"
      f"passenger 3 assignment: {p3.get_assignment()}\n"
      f"Number of seats available: {plane.get_available_seats()}\n"
      f"Number of seats booked: {len(airline._booked)}")

Please let me know better ways to do this or better interfaces etc. I will be slowly adding more complexity but my main goal was having the airline be able to book and place passengers in the plane and refund them from their seat while updating the planes capacity during these changes.
Will be adding multiple planes per airline which will undoubtedly change the structure of some of the classes but for right now let me know if what I have allows for the basic booking and refunding operations to work efficiently and if the classes are setup properly or what improvements can be made.

A: I feel you should have moved the First class and Coach booking outside of book method,
as this method is doing lot of work, and difficult to understand as code is lengthy.
Seems code is getting repeated in First class and coach booking, instead of that you can think to pass the argument to selected class method and then perform booking by this way repeated code will be removed from the method.
Same for the method where yours viewing the information of of booking, there is so much repetition of the code.
  print(f"passenger 1 balance: {p.get_balance()}\n"

  f"passenger 1 assignment: {p.get_assignment()}\n"

  f"passenger 2 balance: {p2.get_balance()}\n"

  f"passenger 2 assignment: {p2.get_assignment()}\n"

  f"passenger 3 balance: {p3.get_balance()}\n"

  f"passenger 3 assignment: {p3.get_assignment()}\n"

  f"Number of seats available: {plane.get_available_seats()}\n"

  f"Number of seats booked: {len(airline._booked)}")

Whenever you are writing code make sure repetition does not happen there, this is consider as a bad smell in a code.

redpajama_set_name: RedPajamaStackExchange


text:
Q: GeoWebCache returns files as geoserver-dispatch.application instead of kml in Chrome This url: http://maps.gcc.tas.gov.au/geoserver/gwc/service/kml/GCC_cuo:GCC_Image.png.kml should download a kml file, but it doesn't in Chrome. It downloads a geoserver-dispatch.application file instead.
It does download fine in IE.
Is there something I can do to fix this?

A: Upgrade GeoServer to the latest version (2.4-RC1), the file name should have been fixed there


During an October 2005 ride on a mountain bicycle, Derek lost his balance on a wooden bridge and plunged to the ground below. The fall fractured his T5 & 6 vertebrae and left him paraplegic. The ensuing five months of therapy at a local Toronto, Canada, rehabilitation facility were all the more difficult because Derek's wife, Alanna, had given birth to their son only two months prior to his accident.
Today, Derek continues to work on expanding his juice business, Pucker Up, and is adapting to life in a wheelchair.
SCORE was pleased to support Derek's rehabilitation with a grant for a hand-cycle.


text:
\section*{#1
     \else
       \vspace{.05in}\footnotesize
       \parindent .2in
         {\upshape\bfseries #1. }\ignorespaces
     \fi}
     {\if@twocolumn\else\par\vspace{.1in}\fi}
\newcommand\keywordsname{Key words}
\newcommand\AMSname{AMS subject classifications}
\newenvironment{keywords}{\begin{@abssec}{\keywordsname}}{\end{@abssec}}
\newenvironment{AMS}{\begin{@abssec}{\AMSname}}{\end{@abssec}}

\begin{document}

\title{A remark about dimension reduction for supremal functionals: the case with convex domains.}
\author{\textsc{ Elvira Zappale}\thanks{Universita'
degli Studi di Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA) Italy.
E-mail:ezappale@unisa.it}}
\maketitle

\begin{abstract}
\noindent An application of dimensional reduction results for gradient constrained problems is provided for 3D-2D dimension reduction for supremal functionals, in the case when the domain is convex.

\medskip

\noindent\textbf{Keywords}:  $\Gamma$-convergence, supremal functionals, gradient constrained problems, dimension reduction.

\noindent\textbf{MSC2010 classification}:  49J45, 74K99, 74Q99.

\end{abstract}

\section{Introduction}

Dimension reduction deals with the study of the asymptotic
behavior of the solutions of a partial differential equation (or a minimization
problem) stated on a domain where one of the dimensions is much smaller than the others.
This kind of problems has been widely treated  by means of $\Gamma$-convergence analysis. Indeed $\Gamma$-convergence, (see  subsection \ref{Gammaconv} for definitions and \cite{D} for details),
is well suited for dealing with the asymptotic behavior of variational
problems depending on a parameter, since it provides good informations on
the asymptotics of minimizers and of the minimal values.

The aim of this paper is to provide a new proof for a $\Gamma$-convergence result, with respect to uniform convergence, for a family of functionals $H_\e: W^{1,\infty}(\Omega)\to \mathbb R$, of the type
\begin{equation}\label{He}
\displaystyle{H_\e(u):=\supess_{\Omega} W\left(\nabla_\alpha u, \frac{1}{\e}\nabla_3 u\right)},
\end{equation}
where $\Omega \subset \mathbb R^3$ is a bounded open set of cylindrical shape, $W:\mathbb R^3 \to R$ is a  continuous function which satisfies suitable growth assumptions, $\nabla_\alpha u$ and $\nabla_3 u$ stand for the partial derivatives of $u$ with respect to $x_\alpha\equiv(x_1,x_2)$ and $x_3$ respectively.

Functionals $H_\e$ are called supremal functionals  (see subsection \ref{supremal}). They were introduced in \cite{aron4} in order to study the problem of finding the best Lipschitz extension and they are deeply connected with the study of $-\Delta_\infty$ (cf. \cite{ACJ}). The properties of such
functionals proved to be useful in order to give a mathematical model for many physical problems as, for example, the problem of modelling the dielectric breakdown for a composite conductor or for the description of plasticity in polycrystals, cf. \cite{GNP} and \cite{BN}.

It is well known that the asymptotic behaviour of the functionals $\{H_\e\}$ is related to the following minimum problems
$$
\inf \left\{\supess_{\Omega(\varepsilon)} W(\nabla u): \; u \in W^{1,\infty}(\Omega(\varepsilon))\right\},
$$
where $\omega \subset \mathbb R^2$ is a bounded open set, satisfying suitable assumptions that will be specified later, $\Omega(\varepsilon):= \omega \times (-\varepsilon, \varepsilon)$, $W$ is as in \eqref{He} and $\nabla u$ stands for the vector of all the partial derivatives of $u$.

In fact, rescaling the domain $\Omega(\e)$ one is lead to consider
\begin{equation}\nonumber
\inf\left\{ \supess_\Omega W \left(\nabla_\alpha u, \frac{1}{\varepsilon}\nabla_3 u\right): u \in W^{1,\infty}(\Omega) \right\},
\end{equation}
with $\Omega:= \Omega(1)=\omega \times (-1,1)$.

The main results are contained in the following theorems.
\begin{Theorem}\label{myproof}
Let $\omega \subset \mathbb R^2$ be a convex, bounded open set and let $\Omega:= \omega \times (-1,1)$. Let $W:\mathbb R^3 \to [0,+\infty)$ be a continuous function, and assume that
\begin{equation}\label{Ccoercivity}
\displaystyle{W(\xi )\geq C \|\xi\| \;\;\; \hbox{ for every } \xi \in \mathbb R^3.}
\end{equation}
For every $\e>0$ define
$F_\e: C(\overline \Omega) \to [0, +\infty]$ by
\begin{equation}\nonumber
F_\e(u):=\left\{
\begin{array}{ll}
\displaystyle{
\supess_{x \in \Omega}
W\left(\nabla_\alpha u(x), \frac{1}{\e} \nabla_3 u(x) \right)} &\hbox{ if }u \in W^{1,\infty}(\Omega),\\
\\
+\infty &\hbox{ otherwise.}
\end{array}
\right.
\end{equation}
Then the family $\{F_\e\}_\e$ $\Gamma(L^\infty)$-converges to the functional $F_0: C(\overline \Omega) \to [0,+\infty]$ given by
\begin{equation}\label{Gammaesssup}
F_0(u):=\left\{\begin{array}{ll}
\displaystyle{\supess_{x_\alpha \in \omega} (W_0)^{\rm lc}(\nabla_\alpha u(x_\alpha))} & \hbox{ if  }u \in W^{1,\infty}(\omega),\\
\\
+\infty &\hbox{otherwise,}
\end{array}
\right.
\end{equation}
where, for every $z \in \mathbb R^2$,
$$
\displaystyle{W_0(z)=\inf_{\zeta \in \mathbb R}W(z, \zeta),}
$$
and $(W_0)^{\rm lc}$ is the level convex envelope of $W_0$,
defined in \eqref{lcenv}.

\end{Theorem}

The argument we show in the proof of Theorem \ref{myproof}  relies on some results about dimensional reduction for gradient constrained integral functionals, developed in an unpublished manuscript by R. De Arcangelis. These results are contained in \cite{DAF} and they deal with $\Gamma$-convergence and integral representation in the framework of $BV$-spaces, while the version we present in the theorem below is suited for the applications to the supremal functionals in the continuous setting.

\begin{Theorem}
\label{thmDAFL-Z}
Let $\omega$ be a convex bounded open set in $\mathbb R^2$ and let $\Omega:= \omega \times (-1,1)$. Let $f:\mathbb R^3 \to [0, +\infty]$ be a Borel function,
Let $F_{f_\e}(\cdot ,\Omega): W^{1,\infty}(\Omega)\to [0, +\infty[$ be the functional defined as
\begin{equation}\label{Ffe}
F_{f_\varepsilon}(u,\omega):=
\displaystyle{\int_{\Omega}f\left(\nabla_\alpha u,\frac{1}{\varepsilon}\nabla_3 u\right)dx,}
\end{equation}
It results that $F_{f_\varepsilon}$ $\Gamma (L^\infty)$- converges, as $\varepsilon \to 0$, to
$$\overline{F}(u, \omega):=2\int_\omega (f_0)^{\ast \ast}(\nabla_\alpha u)dx_\alpha \hbox{ for every }u \in W^{1,\infty}(\omega),$$ where $f_0$ is defined in \eqref{1.18R} and $(f_0)^{\ast \ast} $ represents its lower semicontinuous and convex envelope as in \eqref{astast}.
\end{Theorem}

We stress the fact that  $F_{f_\varepsilon}(u,\Omega)$ is finite if and only if $\nabla u \in {\rm dom}f_\varepsilon$ a.e. in $\Omega$, i.e.
\begin{equation}\label{remunb}
\left(\nabla_\alpha u, \frac{1}{\varepsilon}\nabla_3 u\right) \in {\rm dom }f \hbox{ a.e. in } \Omega.
\end{equation}

Finally we underline that the target of our contribution consists in showing that also in the case of dimension reduction  it is exhibited the deep relation existing between unbounded functionals and supremal functionals (see section \ref{unbounded}), as emphasized in \cite{BJW99} and exploited in \cite{BGP}.

The paper is organized as follows: section \ref{preliminaries} is devoted to preliminary results of Convex Analysis, measure thoery, $\Gamma$- convergence and supremal functionals. In section \ref{unbounded} we present the results, first we treat  the integral representation of unbounded functionals, then in subsection \ref{thm1.1} we prove theorem \ref{myproof}.

\section{Preliminaries} \label{preliminaries}

We start by fixing notations and recalling results from Convex Analysis.

\noindent
$N \in \mathbb N$ is fixed.
${\cal A}_0(\mathbb R^N)$ denotes the sets of the bounded open subsets of ${\mathbb R}^N$, and
${\cal L}^N$
is the Lebesgue measure on $\mathbb R^N$.

For a given $S\subseteq {\mathbb R}^N$ we denote by ${\it aff} (S)$
the affine hull of ${\it aff} S$, defined as the
intersection of all the affine
sets containing $S$. It is clear that
${\it aff} (S)$ is the smallest affine set containing $S$.

For every $S\subseteq {\mathbb R}^N$ we denote by ${\rm co}(S)$ the
convex hull of $S$, i.e. the intersection
of all the convex subsets of
$\mathbb R^N$ containing $S$. It is clear that ${\rm co}(S)$
is the smallest convex set containing $S$.

If $C\subseteq{\mathbb R}^N$ is convex, we denoteby ${\rm ri }(C)$
the relative interior of $C$, i.e. the set of the
interior points of $C$,
in the topology of ${\it aff}(C)$, once we regard it as a subspace of
${\it aff}(C)$.
We recall that ${\rm ri}(C)\not=\emptyset $ provided $C\not=\emptyset$. When ${\it aff}(C)=\mathbb R^N$ we
write as usual ${\rm ri} (C)={\rm int}(C)$.
Moreover, we also recall that
\begin{equation}
\label{1.1R}
tz+(1-t)z_0\in{\rm ri}(C)\hbox{ whenever
}z_0\in{\rm ri}(C),\ z\in{\overline C},\hbox{ and
}t\in[0,1[.
\end{equation}

For every $g:\mathbb R^N\to[0,+\infty]$ we set ${\rm dom} g=\{z\in\mathbb R^N : g(z)<+\infty\}$.

Let $g:\mathbb R^N\to[0,+\infty]$ be convex. Then it is
well known that ${\rm dom} g$ is convex, that $g$ is
lower semicontinuous in
${\rm ri}({\rm dom} g)$, and that the restriction of $g$ to
${\rm ri}({\rm dom} g)$ is continuous. In particular, if
${\rm int}({\rm dom} g)\not=\emptyset$, then $g$ is
continuous in ${\rm int}({\rm dom} g)$.

For every $g:\mathbb R^N\to[0,+\infty]$ we denote by ${\rm co}
g$ the convex envelope of $g$, i.e. the function
$${\rm co} g: z\in\mathbb R^N\mapsto\sup\{
\phi(z), \phi:\mathbb R^N\to[0,+\infty]: \phi\leq
g, \phi \hbox{ convex}\}.$$
Clearly, ${\rm co} g$ is convex, and ${\rm co} g(z)\leq
g(z)$ for every $z\in\mathbb R^N$. Consequently, ${\rm co} g$
turns out to be the greatest convex function
on
$\mathbb R^N$ less than or equal to $g$.

For every $g:\mathbb R^N\to[0,+\infty]$ we denote by
$g^{**}$ the convex lower semicontinuous envelope
of $g$, i.e. the function defined by
\begin{equation}\label{astast}
g^{\ast \ast}(z)=\sup\{\phi(z), \phi :\mathbb R^N\to[0,+\infty], \phi \leq g, \phi \hbox{ convex
and lower semicontinuous}\}.
\end{equation}
Clearly, $g^{**}$ is convex and lower
semicontinuous, and $g^{**}(z)\leq g(z)$ for every
$z\in\mathbb R^N$. Consequently, $g^{**}$ turns out to be
the greatest convex lower semicontinuous function on
$\mathbb R^N$ less than or equal to $g$.

\begin{Proposition}\label{Proposition 1.3R} Let
$g:\mathbb R^N\to[0,+\infty]$. Then ${\rm ri}({\rm dom}
(g^{**}))={\rm ri}({\rm dom}({\rm co} g))={\rm ri}({\rm co}({\rm dom} g)$, and
$$g^{**}(z)={\rm co} g(z)\hbox{ for every
}z\in{\rm ri}({\rm co}({\rm dom} g))\cup(\mathbb R^N\setminus\overline{\rm co}({\rm dom}
g)).$$
\end{Proposition}

We refer to \cite{CDA} for more details.

\noindent
A function $g:\mathbb R^N \to (-\infty, + \infty]$ is said to be {\it level convex} if for every $t \in \mathbb R$, the level set $\{z\in \mathbb R^N: g(z)\leq t\}$ is convex. This property can be equivalently stated as follows: for every $\lambda \in [0,1], z_1,z_2 \in \mathbb R^N$,
$$
g(\lambda z_1 + (1-\lambda)z_2) \leq \max\{g(z_1) , g(z_2)\}.
$$
The level convex envelope of a function $g:\mathbb R^N \to ]-\infty, +\infty]$ is defined as
\begin{equation}\label{lcenv}
g^{\rm lc}(z):=\sup\{h(z), h:\mathbb R^N\to ]-\infty;+\infty]: h\leq g, h \hbox{ lower semicontinuous, level convex.} \}
\end{equation}

For every $E\subseteq\mathbb R^N$,
we denote by $I_E$ the indicator function of $E$ defined as $I_E(x)=0$ if $x \in E$ and $I_E(x)=+\infty$ if $x \in \mathbb R^N \setminus E$.

Let $z \in \mathbb R^N$, we denote by $u_z$ the linear function, defined in $\mathbb R^N$, whose gradient is $z$.

\bigskip

Let $\theta :{\cal A}_0(\mathbb R^N)\to[0,+\infty]$. We say that $\theta$ is increasing if
$$\theta(\O_1)\leq\theta(\O_2)\hbox{ for every }\O_1,\
\O_2\in{\cal A}_0(\mathbb R^N)\hbox{ such that }\O_1\subseteq\O_2.$$
We denote by $\theta_-$ the inner regular envelope of $\theta$ defined by
\begin{equation}\label{innreg}
\theta_-:
\O\in{\cal A}_0(\mathbb R^N)\mapsto\sup\left\{\theta(A) :
A\in{\cal A}_0(\mathbb R^N), {\overline A}\subseteq\O\right\},
\end{equation}
and say that $\theta$ is inner regular in $\O\in{\cal A}_0(\mathbb R^N)$ if
$$\theta(\O)=\theta_-(\O).$$
It is clear that $\theta_-$ is increasing, and that
it is inner regular in $\Omega$ for every
$\Omega\in{\cal A}_0({\mathbb R}^N)$.

Hereafter, if $U$ is a set, $\Phi:
U \times {\cal A}_0({\mathbb R}^N) \to[0,+\infty]$, and $u\in U$, we denote by
$\Phi_-(u,\cdot)$ the inner regular
envelope of $\Phi(u,\cdot)$, namely the function
defined, for every $\Omega \in{\cal A}_0({\mathbb R}^N)$, by
$\Phi_-(u,\Omega)=\Phi(u,\cdot)_-(\Omega)$.

\subsection{$\Gamma$-convergence}\label{Gammaconv}

\begin{Definition} \label{seqcharacsupinf}
Let  $X$ be a metric space, and $F_n : X \to (-\infty,+\infty]$ be a sequence of functions. We denote by
\begin{equation}\label{igamma}F'(x):=\inf \left\{ \liminf_{n \to \infty} F_n(x_n) : x_n \to x \, \hbox{in } X\right\}
\end{equation}
the {\rm $\Gamma$-lower limit}, or more shortly the
{\rm $\Gamma$-liminf} of the sequence $\{F_n\}$. Similarly, we denote by
\begin{equation}\label{iigamma}
F''(x):=\inf\left\{\limsup_{n \to \infty} F_n(x_n) : x_n \to x \, \hbox{in } X\right\}
\end{equation}
the {\rm $\Gamma$-upper limit}, or more shortly the
{\rm $\Gamma$-limsup} of the sequence $\{F_n\}$.
When $F'=F''=F$, we say that $F$ is the $\Gamma$-limit of the sequence $\{F_n\}$, and it is characterized by the
following properties:
\begin{itemize}
\item[(i)] for every $x \in X$ and for every sequence $(x_n)$
converging to $x$ in $X$, then
$$F(x)\leq \liminf_{n \to \infty}F_n(x_n); $$
\item[(ii)]for every $x \in X$ there exists a sequence $(\overline x_n)$ (called a {\rm recovering sequence}) converging to $x$ in $X$   such that
$$F(x)= \lim_{n \to \infty} F_n(\overline x_n).  $$
\end{itemize}
\end{Definition}
\begin{Definition}
[$\Gamma$-convergence for a family of functionals]\label{gammafamily}
Let $X$ be a metric space, and $\{F_\e\} : X \to (-\infty,+\infty]$ be a family of functionals. Definition \ref{seqcharacsupinf} can be extended to $\{F_\e\}$ if \eqref{igamma} and \eqref{iigamma} hold for every sequence $\{\e_n\}$ extracted by the family $\{\e\}$, with $\e_n \to 0$.

\end{Definition}

\bigskip
\subsection{Supremal functionals}\label{supremal}
Let $\Omega \subset \mathbb R^N$ be an open bounded domain.
A supremal (localized) functional on  $W^{1,\infty}(\Omega)$ is a functional of the form
\begin{equation}\label{Fsup}
F(u,A):=\supess_{x \in A}f(\nabla u(x)),
\end{equation}
where $u \in W^{1,\infty}(\Omega)$ and $A$ is any open subset of $\Omega$.
The function $f$ which represents the functional is called {\it supremand}.

As observed in \cite{BJW99}, a necessary and sufficient condition for the lower semicontinuity of a supremal functional of the type \eqref{Fsup} with respect to the weak* topology of $W^{1,\infty}(\Omega)$ is the lower semicontinuity and level convexity of the supremand $f$.

A general relaxation results for supremal functionals (see \cite[Theorem 2.3]{BPZ}), with a Carath\'eodory supremand, with dependence on $x$ and $u$, has been proved in \cite{P} and involves the lower semicontinuous and level convex envelope of the supremand $f$ (c.f. formula \eqref{lcenv}).

\section{Integral representation for gradient constrained functionals arising in dimension reduction}\label{unbounded}

This section contains the main steps to the  proof of Theorem \ref{thmDAFL-Z}.

\noindent Here and in the remainder of this section let $\omega \in {\cal A}_0(\mathbb R^2)$ and $\Omega:=\omega \times (-1,1)$. We will write any $x \in \Omega:=\omega \times (-1,1)$
as $(x_\alpha, x_3)$, where $\alpha$ stands for $1$ and $2$.
Moreover $d {\cal L}^3$ will be denoted also as $dx$ or $dx_\alpha d x_3$.

If $u$ is a Sobolev function, we denote by $\nabla u$
the vector of all the partial derivatives of $u$
with respect to its variables. If $u$ is defined
on an
open subset of ${\mathbb R}^3$, we denote by
$\nabla_\alpha u$ the vector of the first
$2$ components of
$\nabla u$ and by
$\nabla_3 u$ the last component.

Let $f:\mathbb R^3\to[0,+\infty]$ be a Borel function. For every $\varepsilon >0$, $\omega\in{\cal A}_0(\mathbb R^2)$  and $u \in W^{1,\infty}(\Omega)$ we define $F_{f_\e}$ as in \eqref{Ffe}.

We set
\begin{equation}\label{1.13'R}
F'(\cdot,\o): u \in W^{1,\infty}(\Omega)\to\Gamma ({L^\infty}) -\liminf_{\e \to 0}F_{f_\e}(u,\o),
\end{equation}

\begin{equation}\label{1.13''R}
F''(\cdot,\o): u \in W^{1,\infty}(\Omega)\to\Gamma (L^\infty)-\limsup_{\e \to 0}F_{f_\e}(u,\o).
\end{equation}

\noindent We recall that, from Definitions \ref{seqcharacsupinf} and \ref{gammafamily} for every $\o\in{\cal A}_0(\mathbb R^2)$,
$F'(\cdot,\o)$ and $F''(\cdot,\o)$ are
lower
semicontinuous with respect to the uniform convergence.
Obviously,
$$
F'(u,\o)\leq
F''(u,\o)\hbox{ for every }u\in W^{1,\infty}(\Omega).
$$

Finally we set
\begin{equation}\label{1.18R}\displaystyle{f_0: z\in{\mathbb R}^2\mapsto\inf_{\zeta\in\mathbb R}f(z,\zeta).}
\end{equation}
We define
$f_0^{**}=(f_0)^{**}$.

It is clear that
\begin{equation}\label{1.30R}
{\rm dom} f_0={\rm Pr}_2{\rm dom} f,
\end{equation}
where ${\rm Pr}_2$ is the projection operator from $\mathbb R^3$ to ${\mathbb R}^2$.

By \eqref{1.30R}, once we recall that the operators
${\rm co}$ and ${\rm Pr}_2$ commute, we deduce that
\begin{equation}\label{1.31R}
{\rm Pr}_2{\rm co}({\rm dom} f)\subseteq{\rm dom} f_0^{**}\subseteq\overline{{\rm Pr}_2{\rm co}({\rm dom} f)}.
\end{equation}

Nest we state some auxiliary results.

\noindent If $g:\mathbb R^2\to[0,+\infty]$ is convex and lower
semicontinuous, we define the functional $F_g$ as
\begin{equation}\label{1.7R}
F_g:(u,\omega)\in
W^{1,1}_{\rm loc}(\mathbb R^2)\times {\cal A}_0(\mathbb R^2)\mapsto\int_\omega g(\nabla u)dx.
\end{equation}

The proof of the following result can be found in \cite{CDA}.
\begin{Proposition}\label{Proposition 1.4R} Let
$g:\mathbb R^2\to[0,+\infty]$ be convex and lower
semicontinuous, and let $F_g$ be defined in \eqref{1.7R}. Then, for every $\omega\in{\cal A}_0(\mathbb R^2)$, $F_g(\cdot,\omega)$ is $L^1_{\rm loc}(\omega)$-lower
semicontinuous.
\end{Proposition}

The following approximation in energy result for
$F_g$ holds (cf. \cite[Lemma 7.4.4]{CDA}). Here and
in what follows for every
$\o\in{\cal A}_0(\mathbb R^2)$ and $\eta>0$, we set
$\o^-_\eta=\{x\in\omega : \dist(x,\partial \o)>\eta\}$.

\begin{Proposition}\label{Proposition 1.6R} Let
$g:\mathbb R^2\to[0,+\infty]$ be convex and lower
semicontinuous, and let $F_g$ be defined in \eqref{1.7R}. Then
$$F_g(u_\eta, \o^-_\eta)\le F_g(u,\o)\hbox{ for
every }\o\in\A_0(\mathbb R^2),\ u\in W^{1,1}_{\rm loc}(\mathbb R^2),\hbox{
and }\eta>0,$$
\end{Proposition}
where $\{u_\eta\}$ is the sequence of standard mollifications as defined in \cite[formula (4.1.2)]{CDA}.

\begin{proof}[Proof of Theorem \ref{thmDAFL-Z}.] The Gamma convergence result has been obtained by double inequality. The lower bound is a consequence of Proposition \ref{prop3.0DAFL}. The proof of the upper bound, where the gradient constraints really play a role, relies on techniques of Convex Analysis analogous to those contained in \cite{DA}. The proof, contained in \cite{DAF}  is sketched in subsection \ref{ub}.
\end{proof}

The following result relies on a by now `standard' technique in dimensional reduction (cf. for instance \cite{LDR}).

\begin{Proposition}\label{prop3.0DAFL}
Let $f:{\mathbb R}^3\to[0,+\infty]$ be a Borel function as in Theorem \ref{thmDAFL-Z}, and let $F'$ be
given by \eqref{1.13'R}. Then
$$
2 \int_\omega f_0^{**}(\nabla_\alpha u)dx_\alpha \leq F'(u,\o)\hbox{
for every }(u, \omega) \in W^{1,\infty}(\omega)\times {\cal A}_0({\mathbb R}^2).$$
\end{Proposition}
\begin{proof}[Proof.] Let $(u,\o)\in W^{1,\infty}(\omega) \times {\cal A}_0({\mathbb R}^2)$, and let $\{u_\e\}\subseteq W^{1,\infty}(\Omega)$ be a sequence such that $u_\e\to u$ uniformly  and $\displaystyle{\liminf_{\e\to+\infty}F_\e(u_\e,\o)<+\infty}$. Then
$$\liminf_{\e\to 0}F_\e(u_\e, \o)=\liminf_{\e\to 0}\int_{\omega \times (-1,1)} f\left(\nabla_\alpha
u_\e,{\frac{1}{\e}}\nabla_3 u_\e\right)d x_\alpha d x_3 \ge\liminf_{\e\to 0}\int_{\omega\times (-1,1)} f_0^{**}(\nabla_\alpha
u_\e)dx_\alpha.$$

Now, for a.e. $x_3\in (-1,1)$, it turns out that
$u_\e(\cdot,x_3)\to u$ in $L^1(\omega)$. Consequently,
Proposition \ref{Proposition 1.4R}, applied to $\displaystyle{\int_\omega f_0^{**}(\nabla u) dx_\alpha}$  implies
$$\liminf_{\e \to 0}\int_{\omega} f_0^{**}(\nabla_\alpha
u_\e(\cdot,x_3))dx_\alpha \geq\int_\omega f_0^{**}(\nabla
u)dx_\alpha \hbox{ for }\hbox{a.e. }x_3\in (-1,1).$$
Because of this and of Fatou's lemma, we deduce that
$$
\begin{array}{ll}
\displaystyle{\liminf_{\e\to 0}F_\e(u_\e, \o)\geq\int_{-1}^1\left(\liminf_{\e\to 0}\int_\omega
f_0^{**}(\nabla_\alpha
u_\e(\cdot,x_3))dx_\alpha\right)d x_3\geq}
\\
\\
\displaystyle{\int_{-1}^1\left(\int_\omega f_0^{**}(\nabla
u)dx_\alpha\right)dx_3=
2\int_\omega f_0^{**}(\nabla u)dx_\alpha.}
\end{array}
$$

This concludes the proof.
\end{proof}

We stress the fact that the lower bound inequality does not involve any technical assumption on $f$ and is not affected from the unboundedness of $f$.

\bigskip
\bigskip

\subsection{Estimate from above}\label{ub}

We quote the results necessary to the achievement of the $\Gamma$-limsup inequality. For the sake of brevity we do not present all the proofs, which are contained in \cite{DAF}, but we just give the main steps. A more detailed proof is provided for the last two lemmas contained in this subsection, in order to reach the representation in $W^{1,\infty}(\o)$, since the results contained in \cite{DAF} regard lower semicontinuity in $L^1$ and obtain an integral representation on the space of functions of bounded variation.
We also stress the fact that the `upper bound' is achieved first on linear functions, then on piecewise affine functions, smooth ones and finally on $W^{1,\infty}$. To this end we recall that $PA(\mathbb R^2)$ is the set of piecewise affine functions, namely continuous functions, that can be written as
$\displaystyle{u(x)=\sum_{j=1}^m (u_{z_j}(x)+ s_j)\chi_{P_j}(x) \hbox{ for a.e.}x \in \mathbb R^N}$, with $P_j$ polyhedral sets, namely
intersections of a finite family of closed half-spaces. Clearly, a polyhedral set is closed and convex.

The proof of following lemma relies on a refined version of the so called Zig-Zag lemma, proven in \cite[Lemmas 3.1 and 3.3]{DA}.

\begin{Lemma}\label{Lemma 3.4R} Let $f:{\mathbb R}^3 \to[0,+\infty]$ be a Borel function as in Theorem \ref{thmDAFL-Z}. Then
$$\inf\left\{\limsup_{\e\to+\infty}\int_{\Omega} f\left(\nabla_\alpha u_\e,\frac{1}{\e}\nabla_3 u_\e\right)dx_\alpha dx_3:\right.$$
$$\{u_\e\}\subseteq W^{1,\infty}(\Omega),\ u_\e\to u_z\hbox{ in }L^{\infty}(\Omega))\Big\}\leq 2{\cal L}^2(\omega){\rm co} f_0(z)$$
$$\hbox{for every }(z, \omega) \in \mathbb R^2 \times \in{\cal A}_0({\mathbb R}^2).$$
\end{Lemma}

The lower semicontinuity of $F''$ with respect to the uniform convergence, the properties of $f_0^{\ast \ast}$, \eqref{1.1R} and Proposition \ref{Proposition 1.3R}, the application of Lemma \ref{Lemma 3.4R} to $tz+ (1-t)z_0$ with $z_0 \in {\rm ri}( {\rm dom}f_0^{\ast \ast})$,with  $t \in (0,1)$, allow to prove the following result.
\begin{Proposition}\label{Proposition 3.5R} Let
$f:\mathbb R^3 \to[0,+\infty]$ be a Borel function as in Theorem \ref{thmDAFL-Z}, and let $F''$
be given by \eqref{1.13''R}. Then
$$F''(u_z,\o)\leq 2{\cal L}^2(\omega)f_0^{**}(z)\hbox{ for
every }(z, \omega)\in \mathbb R^2 \times {\cal A}_0({\mathbb R}^2).$$
\end{Proposition}

The extension of Proposition \ref{Proposition 3.5R} to piecewise
affine functions relies on a preparatory result analogous to \cite[Lemma 3.6]{CCEDA}, whose proof we omit for the sake of exposition. The statement below is an adaptation of \cite[Lemma 2.1]{DA}
\begin{Lemma}\label{comeLemma3.6}
Let $u=\sum_{j=1}^m
(u_{z_j}+s_j)\chi_{P_j}$ be in $PA(\mathbb R^2)$, and
let $\omega$ be a convex open subset of $\mathbb R^2$.
Then there exist $k\in\mathbb N$ and $N_1$, \dots,
$N_k\subseteq\{j\in\{1,\dots,m\} :
{\rm int}(P_j)\cap\omega\not=\emptyset\}$ such that
\begin{equation}\label{bla}u(x)=\max_{i\in\{1,\dots,k\}}\min_{j\in
N_i}(u_{z_j}(x)+s_j)\hbox{ for every }x\in\omega.
\end{equation}
\end{Lemma}

We also underline, that when representing the $\Gamma$-limit on piecewise affine functions, because of the use of representation \eqref{bla}, the domain $\omega$ needs to be assumed convex. In fact, we recall that in \cite{CCEDA} several counterexamples are provided, which show that \eqref{bla} cannot be achieved if the convexity of $\omega$ is dropped.
In fact the result below can be achieved in two steps, first one provides an abstract formula for the integral representation of the Gamma-limsup on  functions which are minimun and/or maximum of others, then Lemma
\ref{comeLemma3.6} and Proposition \ref{Proposition 3.5R} are applied.

\begin{Proposition}\label{Proposition 3.7R}
Let  $f:\mathbb R^3\to[0,+\infty]$ be a Borel function as in Theorem \ref{thmDAFL-Z}, and let $F''$
be given by \eqref{1.13''R}. Then
\begin{equation}
\nonumber
F''(u,\o)\leq\int_\omega f_0^{**}(\nabla_\alpha u)dx_\alpha \hbox{
for every }\ u\in
PA(\mathbb R^2), \o\in\A_0(\mathbb R^3)\hbox{ convex}.\end{equation}

\end{Proposition}

Next it is stated the upper bound for the inner regular envelope of $F''$ (cf. \eqref{innreg}) on the class of $C^1(\mathbb R^2)$ functions. The proof can be obtained exploiting the strong approximation of $C^1$ functions by piecewise affine ones and the convexity of $f_0^{\ast \ast}$ and adapting to the dimensional reduction case arguments in the same spirit of those contained in \cite[Lemma 3.8]{DA}. We also would like to underline that the convexity of $\omega$ yields that,
\begin{equation}\nonumber
\sup\left\{F''(u,A) : A\in\A_0(\mathbb R^2),\ A\hbox{
convex},\ {\overline
A}\subseteq \o\right\}=F_-''(u,\omega),
\end{equation}
 and this plays a crucial role to obtain \eqref{C1rep}.

\begin{Lemma}\label{Lemma 3.8R} Let $f:\mathbb R^3\to[0,+\infty]$
be a Borel function as in Theorem \ref{thmDAFL-Z}, and let $F''$ be given by \eqref{1.13''R}. Then
\begin{equation}\label{C1rep}
F''_-(u, \o)\leq\int_\o f_0^{**}(\nabla_\alpha
u)dx_\alpha \hbox{ for every }\ u\in
C^1(\mathbb R^2), \o\in\A_0(\mathbb R^2)\hbox{
convex}.
\end{equation}
\end{Lemma}

We present the completion of the proof of the upper bound inequality.
We argue as in \cite[Lemma 3.9]{CCEDA}.

\begin{Lemma}\label{Lemma 3.9CCEDA}
 Let $f:\mathbb R^3\to[0,+\infty]$
be a Borel function as in Theorem \ref{thmDAFL-Z}, and let $F''$ be given by \eqref{1.13''R}. Then
\begin{equation}\label{3.53CCEDA}
F''_-(u,\o)\leq\int_\o f_0^{**}(\nabla_\alpha
u)dx_\alpha \hbox{ for every }\ u\in
W^{1,\infty}_{\rm loc}(\mathbb R^2), \o\in\A_0(\mathbb R^2)\hbox{
convex}.
\end{equation}
\end{Lemma}

\begin{proof}[Proof]
Let $\omega$ and $u$ as in \eqref{3.53CCEDA}.
Denoting by $u_\eta(x_\alpha)$ the regularization of $u$ at $x_\alpha$ defined in \cite[formula (4.2.1)]{CDA}, and recalling that
for every $\eta>0$, $u_\eta\in
C^\infty(\mathbb R^2)$, and that $u_\eta\to u$ uniformly on the compact sets of $\mathbb R^2$ as $\eta\to 0$,
by Proposition \ref{Proposition 1.6R} applied to $F_{f_0^{**}}$, we have

\begin{equation}\label{3.54CCEDA}
\int_{\omega^-_\eta}f_0^{**}(\nabla_\alpha u_\eta) dx_\alpha \leq \int_\o f_0^{\ast \ast}(\nabla_\alpha u) dx _\alpha \hbox{ for
every } u\in W^{1,\infty}_{\rm loc}(\mathbb R^2),\hbox{
and }\eta>0.
\end{equation}

Let now $A \subset \subset \omega$ be a convex open set, and take $\eta>0$ sufficiently small in order to guarantee that $A \subset \subset \omega^-_\eta$. The convexity of $A$, Lemma \ref{Lemma 3.8R} and  \eqref{3.54CCEDA} provide
\begin{equation}\label{3.55CCEDA}
\begin{array}{ll}
\displaystyle{(F'')_-(u_\eta, A)\leq \int_A f_0^{\ast \ast}(\nabla_\alpha u_\eta)dx_\alpha \leq \int_{\omega^-_\eta}f_0^{\ast \ast}(\nabla_\alpha u_\eta)dx_\alpha \leq}\\
\\
\displaystyle{\int_\omega f_0^{\ast \ast}(\nabla u )dx_\alpha \hbox{ for every }\eta>0 \hbox{ sufficiently small.}}
\end{array}
\end{equation}

Passing to the limit in \eqref{3.55CCEDA} first as $\eta \to 0$, then letting $A$ invade $\o$, and exploiting the lower semicontinuity of $(F'')_-$ (see \cite[Remark 15.13]{D}) and the fact that $(F'')_-$ is an increasing set function, the thesis follows.
\end{proof}

The proof of the upper bound inequality is concluded by the following lemma, in the spirit of \cite[Theorem 3.10]{CCEDA}

\begin{Lemma}\label{Theorem 3.10R} Let
$f:\mathbb R^3\to[0,+\infty]$ be Borel,
and $F''$ be given by \eqref{1.13''R}. Then
$$\displaystyle{F''(u,\o)\leq \int_\o f_0^{**}(\nabla_\alpha
u)dx_\alpha \hbox{ for every }u\in W^{1,\infty}(\o), \o\in\A_0(\mathbb R^2)\hbox{ convex}.}$$
\end{Lemma}
\begin{proof}[Proof]

Since $\omega$ is convex there is no loss of generality in assuming $u \in W^{1,\infty}(\mathbb R^2)$.
Analogously we can assume that ${\rm dom}f_0^{\ast \ast}$ is not empty.
If ${\rm dom}f_0^{\ast \ast}$ contains just one point the thesis follows by Proposition \ref{Proposition 3.5R}.
Thus we can suppose also that $(0,0) \in {\rm dom}f_0^{\ast \ast}$, consequently the convexity of $f_0^{\ast \ast}$ entails that $(0,0) \in {\rm ri}({\rm dom}f_0^{\ast \ast})$.

\noindent If this was not the case we could assume that $u_0 \in \mathbb R^2$ is the element in ${\rm ri}({\rm dom}f_0^{\ast \ast})$, and the subsequent analysis could be repeated for the translated function $g_0^{\ast \ast}(z):= f_0^{\ast \ast}(z+ z_0)$ and the translated functional $F_{u_0}''(u, \omega):= F''(u_{z_0}+ z, \omega)$.

Let $x_0 \in \omega$ and $t>1$ and let $u_t$ be the function defined
by $u_t: x_\alpha\in \mathbb R^2 \to u\left(x_0+\frac{x_\alpha-x_0}{t}\right)$, then $u_t \in W^{1,\infty}(\mathbb R^2)$ and $u_t \to u$ in $L^\infty(\omega)$. The convexity of $\omega$ and Lemma \ref{Lemma 3.9CCEDA} entail that
$$
\displaystyle{F''(u_t, \omega) \leq (F'')_-(u_t, x_0+ t (\omega -x_0)) \leq \int_{x_0 + t(\omega -x_0)} f_0^{\ast \ast}(\nabla_\alpha u_t) dx_\alpha.}
$$
By the change of variables $y_\alpha = x_0 + \frac{x_\alpha -x_0}{t}$ in the right hand side of the inequality above and by the convexity of $f_0^{\ast \ast}$ we have
$$
\begin{array}{ll}
\displaystyle{F''(u_t, \o) \leq t^2 \int_\omega f_0^{\ast \ast}\left(\frac{\nabla_\alpha u}{t}\right)d y_\alpha \leq t\int_\omega f_0^{\ast \ast}(\nabla_\alpha u) d y_\alpha +t^2\left(1-\frac{1}{t}\right)|\omega|f_0^{\ast \ast}(0).}
\end{array}
$$
The thesis follows as $t \to 1$ by the lower semicontinuity of $F''$.
\end{proof}

\subsection{Theorem \ref{myproof}}\label{thm1.1}

This section is devoted to the proof of Theorem \ref{myproof}. The strategy of the proof is inspired by \cite{BGP}, besides the authors therein consider cell-formulas for the densities. On the other hand, in our context we can avoid the introduction of cell-formulas, and we can deal just with simpler formulas which explicitly provide a representation and exhibit the link with the original densities.
We start by recalling some properties of the functions involved in formula \eqref{Gammaesssup} (for more details we refer to \cite[Section 6]{BPZ}).

\begin{itemize}
\item[i)] If $W:\mathbb R^3 \to [0, +\infty)$ is continuous and level convex, then $W_0$ is level convex as well.
\item[ii)] If $W: \mathbb R^3 \to [0, +\infty)$ is continuous, then
$(W_0)^{\rm lc}(z)= (W^{\rm lc})_0(z)$ for every $z \in \mathbb R^2$.
\item[iii)] $(W_0)^{\rm lc}$ is lower semicontinuos.
\end{itemize}
\begin{proof}[Proof of Theorem \ref{myproof}]
The proof of the lower bound inequality, i.e. the fact that for any $u\in C({\overline \Omega})$ it results
$$
\displaystyle{F_0(u) \leq \liminf_{\e \to 0}F_\e(u_\e)}
$$
whenever $\{u_\e\}\subset C({\overline \Omega})$ is uniformly converging to $u$ in ${\overline \Omega}$, is exactly as in the proof of \cite[Theorem 6.1]{BPZ}.

For what  concerns the upper bound we observe that \cite[Theorem 2.6]{P} guarantees that there is no loss of generality in assuming $W$ already level convex and the right hand side of \eqref{Gammaesssup} finite.

The result will be achieved through a repeated application of Theorem \ref {thmDAFL-Z}.

Let $u \in W^{1,\infty}(\omega)$ and let $\displaystyle{M:= {\rm ess}\sup_\omega (W_0)^{\rm lc}(\nabla_\alpha u)}$ and consider  the functionals
$$u\in W^{1,\infty}( \Omega) \to {\cal I_C}(u)=
\displaystyle{\int_\Omega I_C\left(\nabla_\alpha u,\frac{1}{\varepsilon}\nabla_3 u\right)dx}
$$ where $I_{C}$ is the indicator function of $C= \left\{z \in \mathbb R^3: W(z)\leq M\right\}.$
Since $W$ is continuous and level convex it  is easily observed that $C$  is closed and convex. \eqref{Ccoercivity} entails that $C$ is also bounded.
Consequently $I_C$ is lower semicontinuous. These facts allow us to apply Theorem \ref{thmDAFL-Z} which provides \begin{equation}\label{Gammalimit}
\displaystyle{\Gamma(L^\infty)-\lim_{\e \to 0} {\cal I_C}(u_\e)=
2\int_\omega (({I_C})_0)^{\ast \ast}(\nabla_\alpha u)dx_\alpha }
\end{equation}
if $u \in W^{1,\infty}(\omega)$.

It is crucial to observe that if $C_0=\{z \in \mathbb R^2: (W_0)^{\rm lc}(z)\leq M\}$, then $I_{C_0}(z)=  (({I_C})_0)^{\ast \ast}(z)$.

\noindent In fact, the assumptions on $W$ and ii) imply that $(W_0)^{\rm lc}=W_0$, moreover \eqref{1.30R} entails that
$$C_0 = {\rm Pr}_2 C.$$
The last equality, \eqref{1.31R} and the fact that $C$ is closed and convex entail that
$$
{\rm dom}(((I_{C})_0)^{\ast \ast})= {\rm dom}(I_{C_0}).
$$
\eqref{Gammalimit} guarantees the existence of a sequence $\{u_\varepsilon\}_\varepsilon$ such that $u_\varepsilon \to u$ uniformly and

$$
\displaystyle{\limsup_{\e \to 0}\int_\Omega I_C\left(\nabla_\alpha u_\e,\frac{1}{\e}\nabla_3 u_\e \right)dx \leq 2 \int_\omega I_{C_0}(\nabla_\alpha u)dx_\alpha},
$$
thus we can say that there exists $\e_0>0$ such that for every $\e < \e_0$
$$
\displaystyle{I_C\left(\nabla_\alpha u_\e, \frac{1}{\e}\nabla_3 u_\e\right)=0 \hbox{ for a.e. }x \in \Omega},
$$
i.e. for every $\e <\e_0$ (cf. \eqref{remunb})
$$
\displaystyle{\supess_\Omega W\left(\nabla_\alpha u_\e, \frac{1}{\e}\nabla_3 u_\e\right) \leq M \hbox{ for a.e. } x \in \Omega,}
$$
equivalently
$$\limsup_{\varepsilon \to 0} \supess_{\Omega}W\left(\nabla_\alpha u_\varepsilon, \frac{1}{\varepsilon}\nabla_3 u_\varepsilon\right)\leq  \supess_\omega (W_0)^{\rm lc}(\nabla_\alpha u).
$$
This concludes the proof.

\end{proof}
 \textbf{Acknowledgments.}

The author wish to thank Irene Fonseca. The author is also deeply indebted with Riccardo De Arcangelis, to whose memory this note is dedicated.

redpajama_set_name: RedPajamaArXiv


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This time something rather quick, practice drawing for hands. Believe me, there is never too many of those exercises... I added the video to this short tutorial, I recommend watching the process, thinking about how I build shadows and lights on those hands, build their shape. I hope this tutorial will help a little bit those who (like me) have problems with drawing hands from time to time.
Another movie from the daily sketches series - another animal, this time a lot smaller :D On the movie I will show you how to draw such birdie from the very beginning to the end, maybe my techniques will become useful to you in your own creations. Also I'd like to encourage you to upload your drawings to YourWorks gallery (you can do that after logging in)! Lately few new drawings showed up and it makes me very happy :D Such small bird is a great exercise so watch the movie and try it out yourself!
Lately I've been under constant impression that I don't really improve despite sitting in front of the tablet for long hours. I didn't "study" drawing anymore even though I felt I really should. So I've decided to practice everyday, draw some study from photograph and see what I can do. And since it won't take long (I didn't plan to draw for more than an hour, it was just practice after all) I could record a movie for the process. That way you can see me drawing this simple horse portrait stroke by stroke.
Why such strange idea? Well, girl from the picture is heroine of my story (one of many, actually) and in the middle of writing new chapter I kind of wanted to see this scene. Urge was so strong, that I started sketching right away. I drew Arte behore, couple of times I suppose, but I think she still can't show her as I see her. Something is still missing. Well, maybe next time. I am still happy how this one turned out, even though it was a lot of work. Well, see for yourself!


text:
Kramarzewo – dawna gromada, czyli najmniejsza jednostka podziału terytorialnego Polskiej Rzeczypospolitej Ludowej w latach 1954–1972.

Gromady, z gromadzkimi radami narodowymi (GRN) jako organami władzy najniższego stopnia na wsi, funkcjonowały od reformy reorganizującej administrację wiejską przeprowadzonej jesienią 1954 do momentu ich zniesienia z dniem 1 stycznia 1973, tym samym wypierając organizację gminną w latach 1954–1972.

Gromadę Kramarzewo z siedzibą GRN w Kramarzewie utworzono – jako jedną z 8759 gromad – w powiecie grajewskim w woj. białostockim, na mocy uchwały nr 15/V WRN w Białymstoku z dnia 4 października 1954. W skład jednostki weszły obszary dotychczasowych gromad Kramarzewo, Kownatki, Konopki, Kieliany, Borawskie i Czerwonki ze zniesionej gminy Radziłów w tymże powiecie. Dla gromady ustalono 11 członków gromadzkiej rady narodowej.

31 grudnia 1959 gromadę Kramarzewo zniesiono, włączając jej obszar do nowo utworzonej gromady Czerwonki.

Przypisy

Kramarzewo


The mission of Cedar Park Christian School is to transform the hearts and minds of our students. There is perhaps no greater opportunity for accomplishing that goal than through service. Whether At Home, Away or Abroad, when we serve others, we become more like Christ, who came "not to be served, but to serve" (Mark 10:45).
As you spend time praying about which team the Lord wants you to join, please approach Him with humility. Ask Him to prepare in advance all kinds of encounters with people during CPC Serve Week in order to encourage the downhearted, show love to the unlovely, bring joy to the broken, and shine light into the darkness. The school will do everything it can to provide you the opportunity to serve with the love of Jesus is various ways. The meaningfulness of this experience, however, will greatly depend on your attitude and willingness to approach it prayerfully, positively and with personal availability to the work of the Holy Spirit's leading.
"For Christ's love compels us, because we are convinced that one died for all, and therefore all died.
And he died for all, that those who live should no longer live for themselves but for him who died for them and was raised again."
Students select their mission trip by submitting their application to Ms. Boyd. When assigning trips, priority is given to students in order of grade seniority and the date the student signed up. Students who are dating may not sign up for the same team.
We pray diligently about who will be placed on each team, and ask that you also pray for God's guidance in forming our mission teams. The Administrative and Campus Ministry Teams of Cedar Park will make the final decision in mission trip placement for each student.
To develop a Biblical theology of missions and Christ-oriented service.
To experience various types of mission trips.
To develop compassion for the marginalized.
To share our faith through both words and actions.
To grow in the knowledge of God's character.
To minister locally and cross-culturally in order to develop an appreciation for all cultures and peoples.
To minister as part of a team.
To develop a lifestyle of prayer.


HARMAN technology Limited and its portfolio of brands including the ILFORD PHOTO Range is not connected to ILFORD Imaging Switzerland GmbH who have been reportedly declared bankrupt.
"Although I'm saddened to learn of the difficulties faced by ILFORD Imaging Switzerland GmbH, I can confirm that HARMAN technology Limited, based in the UK, is in no way commercially connected to this business.
"Any developments at ILFORD Imaging Switzerland GmbH will have no impact on HARMAN technology Limited and its products and services. We remain committed to providing traditional black and white ILFORD PHOTO products and our business continues to thrive.
I have to say I'm very happy with hearing "is in excellent health" as they're my go-to maker for all my bw films and some developers nowadays.
I agree Jan. If film eventually disappears, I think Ilford will be the last man standing.
I'm quite tempted to switch completely to Ilford myself, some of their films are fantastic.. but I should be putting my money into a company that actually still believes in film. unlike the others.
Fuji seem to hate film photographers, Kodak well... who knows how that little story will end.
I think I need to shoot more delta to get used to it, I've used it a few times and it was nice, but it's just no Neopan Acros. hrm.
What in particular is it you like about Acros, Neal?
There's always been some confusion between Harman and the Ilford film / paper companies.
I'm definitely an Ilford film and paper supporter. I've had the occasional try-out with some Kodak and Fuji options in the past 30-odd years (speaking strictly of B&W here) but I always seem to come back to Ilford's products.
FP4+ and Perceptol has given me some beautiful smooth, fine-grained results. The same film with ID-11 is an everyday choice when the light's good. When it drops a bit, move to HP5+ and ID-ll or Microphen for the black cat in a coal cellar shot and I'm a happy bunny!
Strength to Ilford - long may they last!


Fresh Air provide an industry leading level of luxury, refinement and attention to detail in every one of our charters. With our fleet of Agusta A109 Helicopters and our ability to source a wide range of other aircraft types, we can provide a fast, safe and comfortable way to travel throughout the UK and Northern Europe.
Whether you're flying for business or for pleasure, charting one of our luxury helicopters is the ultimate way to travel. Our experienced pilots and specialist staff will ensure that your personalized charter experience is comfortable, safe and exceeds your expectations every time. Contact us with your charter requirements and let us know what we can do for you.
We don't stop at providing you with the very best Helicopter Charters – we can also organize Private Jet Charters on a wide range of aircraft types to suit your individual requirements and needs. Whether it be a short flight within the UK or somewhere further afield, our experienced staff will be able to cater to your every need. Contact our team to find out what we can offer.
All our helicopters are unbranded for a discrete, personal charter experience every time.
Frequent maintenance inspections at the UK's leading approved maintenance facilities.
All pilots have no less than 500 hours on aircraft type with rigorous training advancements.
We have a number of sites unique to Fresh Air to get you as close to your destination as possible.
We guarantee to find you an alternative method of travel if flight is unsuitable.
Safety is, of course, our number one priority, along with punctuality, comfort and service.


Welcome to the Maine Medical Association accreditation web page. The Accreditation Council for Continuing Medical Education (ACCME) recognizes the Maine Medical Association as the authorized body for conducting a voluntary accreditation program for institutions and organizations providing intrastate continuing medical education (CME) in the state of Maine, or in a region including states contiguous to Maine. By offering intrastate accreditation, MMA seeks to assure both physicians and the public that any educational activities provided by accredited providers meet the high standards of educational design as promulgated by MMA through its Accreditation Essential Areas, Elements and Policies, and Standards for Commercial Support. In addition, it is only accredited providers that can award AMA PRA Category 1 Credit™. Accreditation is granted on the basis of the provider's demonstrated ability to plan and implement CME activities in accordance with accreditation requirements.
The MMA Committee on CME Accreditation adopts necessary procedural rules and prescribes forms to be used in the conduct of CME accreditation. It reviews applications and survey team reports for intrastate CME sponsors, and makes decisions on the granting of initial accreditation and continuation of accredited status. The committee is responsible for maintaining MMA' recognition as the state CME accreditor through the ACCME. The committee also takes a leadership role in providing education for continuing medical education planners and site surveyors.
An integral part of the accreditation program is the site visit, used to gather materials, document and verify that the applicant has met the Essential Areas for accreditation. Physicians throughout the state, including members of the MMA Board of Directors, councils, committees, and medical educators, function as site surveyors to gather the necessary information, interview appropriate individuals and observe local CME activities. The Site Survey Team then makes recommendations to the MMA Committee on CME Accreditation that determines the provider's accreditation status and reports this to the MMA Board of Directors.
The document, Accreditation Program: Essential Areas, Glossary of Terms, Accreditation Policies, and Decision Making Criteria has been developed to explain in detail the meaning and application of the Essential Areas and to provide information to providers on how to comply with the Essential Areas. This document includes guidelines that are intended to assist sponsors in meeting the requirements for accreditation.
The Accreditation Application is the official document that must be submitted by accredited providers or those seeking initial accreditation as part of the overall accreditation process. The other documents, Surveyors Report; Decision Report Template and Documentation Review Form are the Policy Statements & Actions used by surveyors and the Committee on CME Accreditation during the accreditation process.


This poor schumuk in all likelihood never had a good relationship with a woman. He states he was married and divorced twice. I surmise he got married for the wrong reasons, as did his spouses. At this point, he may no longer be a sexual being, so I would recommend that you not have any episodes with Paige becoming sexually attracted to this man or , as you Americans say, visa versa.


text:
namespace MassTransit.Configuration
{
    using System;

    public class InMemoryOutboxSagaConfigurationObserver<TSaga> :
        ISagaConfigurationObserver
        where TSaga : class, ISaga
    {
        readonly ISagaConfigurator<TSaga> _configurator;
        readonly Action<IOutboxConfigurator> _configure;

        public InMemoryOutboxSagaConfigurationObserver(ISagaConfigurator<TSaga> configurator, Action<IOutboxConfigurator> configure)
        {
            _configurator = configurator;
            _configure = configure;
        }

        void ISagaConfigurationObserver.SagaConfigured<T>(ISagaConfigurator<T> configurator)
        {
        }

        public void StateMachineSagaConfigured<TInstance>(ISagaConfigurator<TInstance> configurator, SagaStateMachine<TInstance> stateMachine)
            where TInstance : class, ISaga, SagaStateMachineInstance
        {
        }

        void ISagaConfigurationObserver.SagaMessageConfigured<T, TMessage>(ISagaMessageConfigurator<T, TMessage> configurator)
        {
            var specification = new InMemoryOutboxSpecification<TMessage>();

            _configure?.Invoke(specification);

            _configurator.Message<TMessage>(x => x.AddPipeSpecification(specification));
        }
    }
}


Huntington Bank will be hosting a collection drive for Essentially Yours, a local organization that helps people who were once homeless. Essentially Yours provides needed home goods to those who have found housing and need the basic items to get them started. Collection boxes will be set up in the lobbies of all Huntington Bank locations in the following counties: (WV) Wood, Wirt, Ritchie, and Jackson; (OH) Washington.
Visit your local Huntington Bank to drop off your donation.
Essentially Yours was created to fulfill a basic human need identified in our community. We provide the essential home good items needed to improve the quality of life for referred families and individuals transitioning from homelessness into a dwelling.
Currently, the referring organizations that provide housing and furniture vouchers to homeless individuals do not provide the basic living essentials required for establishing a home.
Essentially Yours is a 501 (c) 3 non-profit, non-salaried entity that is operated by dedicated volunteers.
When we started in 2010, we only provided essentials for the once homeless. As our services became known throughout the Mid-Ohio Valley, we realized that our services were needed in other areas. Please click here to see the entire list of whom we serve.
PARKERSBURG - Organizers of the local MOVtoZero campaign to end chronic and veteran homelessness met Friday to start finalizing details for the upcoming effort to register and assess local individuals in need.
Essentially Yours/Voices of the Streets wants to thank everyone for the generous donations of pillows, sheets, blankets, and other home goods to help those in need.
Your donations are used to provide essential home good items for families and individuals transitioning from homelessness into a dwelling, and those who've experienced a disaster.
These generous donations make such a positive change in the community, and words can't express the gratitude for the support that everyone has shown, especially during a busy holiday season.
Essentially Yours/Voices of the Streets would like to thank you all for your support, especially during this holiday season.
Essentially Yours/Voices of the Streets would also like to thank Grand Central Mall for this amazing opportunity to help give essential home items to those in need.
Help us win up to $4000!
Grand Central Mall is giving $10,000 away to local charities.
Pledge your support for us by stopping by Guest Services with all your mall receipts dated November 2 - 22. (You keep your receipts. Guest Services only needs to see them).
Every dollar you spend is a point. Be sure to tell them you're supporting us when you do!
Plus your online vote can help us win $500! Visit GrandCentralMall.com, and search for "Voices of the Streets" to vote daily!
"In the name of Christ, our Lord and Savior, the Voices of the Streets is dedicated to restoring hope and dignity to those in our community by spreading the love of God through song and service."
"It is the vision of this ministry to find practical ways to demonstrate the love of Jesus by spreading His light to individuals and families who are struggling in our community."
If you know of someone in need of our services, please direct them to one of the referring agencies in this list.


1. I want this to be available just for the super admin.
2. What happens with blog scheduled events that are missed?
For example If i have 10 days old blog, and I add messages for after 5 days and after 20 days, what mails will it send ?
3. How can I test this on a live site, without sending unwanted mails?
In this case, if I understand correctly what you want to do, it should be activated just for the main site.
Well it is certain to send the 20 Days email though I have not tested it concerning the 5 day scenario, the plugin was setup before this scenario was possible.
This is a great question. However, it will email to the entire list that meet the parameters of the email out.
What I do not understand considering the vast majority of folks are using MultiSite installs, is why they do not simply create a test sub domain to test things out on that they wonder about certain functionality thereof? It takes just seconds to do.
I made some testing and I see that only new blogs are queued for Blog Emails.
So the answer for the second question is none.


text:
BEST NEW MUSIC: COBI - ISLAND IN MY MIND
by Kurt Kroeber
This is just the beginning for Cobi's "Island in my Mind." I'm not entirely sure what's next, but I have some ideas of where this deeply emotional blues-pop epic could be headed.
A. A big remix. Like huge. Someone like Kygo or Above & Beyond (they do have a working relationship already btw) turning this into the kind of EDM anthem that has people swooning and swaying and singing along across the globe. Sure, it's the biggest hit of next year, but that's next year's problem.
B. The soundtrack. There's nothing better for dramatic movies or TV than a big sweeping dramatic tune to go along with it. They go together like Adele and a divorcee. Might this one close out a big season finale for a show like "This Is Us" or soundtrack the movie trailer for a movie starring Sterling K. Brown? Ether way, it's gonna have us feeling some feels while some actors flex their chops.
C. Radio hit. Cobi could be the next Lumineers or Hozier. He doesn't even need moving images or remixed production to get there as he's got the kind of emotive hook we can all innately feel connected to. Imagine, driving down the street, closing your eyes, picturing your own island in your own mind. Someone beeps. You have to swerve to get back in your lane. The song continues.
COBI - ISLAND IN MY MIND
I'm getting major all of the above vibes on this one. We haven't heard much from Cobi, but now we're rifling through the back catalog looking for more songs that make us feel like we're alive. "Island In My Mind" is a deeply meditative study on feeling your own feelings and escaping from them every once and a while. This isn't Jimmy Buffet Margaritaville vibes, no. It's a metaphorical Island, a respite Maybe we need to stop being so hard on ourselves. Breathe. Let the music do the heavy work for us. Hopefully, this one stays on your playlists and clears out the bad vibes every time they get the best of you. We know it will for us.
From deep within the murky depths of the Los Angeles River emerged a creature: 50% raver, 50% comedian, 10% Robotcop. Kurt Kroeber doesn't own a dog, operates Soundbleed (the world's only dance party comedy talk show rave), and is down to party with you. Come up some time and say "Hey dude!" But definitely make sure to casually drop the secret Illuminati password.


text:
Tag: William Ratcliffe VC. MM
William Ratcliffe VC. MM.
Heritage, Liverpool, Memorials elsewhere, Military, Outside RSA, United Kingdom, Victoria Cross, World War 1
William Ratclifffe (18/01/1884 – 26/03/1963), was awarded the Victoria Cross for his actions on 14 June 1917 at Messines, Belgium,
The Citation, published in the London Gazette of 31 July 1917, Supplement: 30215 Page: 7907, reads:
"No. 2251 Pte. William Ratcliffe, S. Lane. E. For most conspicuous bravery.
After an enemy's trench had been captured, Pte. Ratcliffe located an enemy machine gun which was firing on his comrades from the rear, whereupon, single handed and on his own initiative, he immediately, rushed the machine gun position and bayoneted the crew. He then brought the gun back into action in the front line.
This very gallant soldier has displayed great resource on previous occasions, and has set an exceptionally fine example of devotion to duty."
He is commemorated on the Liverpool Heroes Statue in Abercromby Square in Liverpool
Liverpool Heroes Statue. Inscription
And there is a Commemorative Plaque for him at the Hall of Remembrance in Liverpool City Hall
Commemorative Plaque, Hall of Remembrance, Liverpool City Hall
Outside the Hall of Remembrance is a framed list of names that are connected to Liverpool and he is also listed on it.
A paving stone was unveiled for him at the Liverpool Parish Church on 15 June 2017.
William Ratcliffe VC. MM. died on 26 March 1963, and is buried in Allerton Cemetery in Liverpool.
DRW © 2018. Created 20/06/2018


text:
NES Super Mario Bros. 3 (JPN) "warps" in 10:53.52 by Genisto.
Famtasia movie (.fmv) (date: 2004-03-29)
Mirror www.archive.org (MKV Modern HQ)
Mirror www.archive.org (MP4 Compatibility)
Submission #144 — Author's comments
Obsoletes movie #667 (10:58.92)
This movie has been obsoleted!
Click here to see the movie that obsoleted it.
Looking for the famous Super Mario Bros 3 timeattack by もりもと (Morimoto)?
This isn't it.
This is Genisto's version, which beats Morimoto's version in the following aspects:
- is 10 seconds faster!
- has better high score!
and also, when compared to Michael Fried's run:
- collects 5 coins more!
It's sort of an improved hybrid of those two movies.
Not only is it amazingly fast, it also manages to get 99 extra lives while waiting.
Added NES Super Mario Bros. 3 (USA PRG1) "game end glitch" by Masterjun & ais523 in 00:00.78 (2019-09-05)
- obsoletes NES Super Mario Bros. 3 (USA PRG0) "game end glitch" by Lord Tom & Tompa in 02:54.98 (2014-04-29)
Added NES Super Mario Bros. 3 (USA PRG0) "warps" by Lord Tom, Maru & Tompa in 10:24.34 (2019-03-16)
- obsoletes NES Super Mario Bros. 3 (USA PRG0) "warps" by Lord Tom, Maru & Tompa in 10:24.94 (2018-11-01)
- - obsoletes NES Super Mario Bros. 3 (USA PRG0) "warps" by Lord Tom, Mitjitsu & Tompa in 10:25.6 (2010-08-04)
- - - obsoletes NES Super Mario Bros. 3 (USA PRG0) "warps" by Lord Tom & Mitjitsu in 10:26.42 (2009-05-11)
- - - - obsoletes NES Super Mario Bros. 3 (USA PRG0) "warps" by adelikat, Deign, Cardboard & JXQ in 10:29.05 (2008-02-17)
- - - - - obsoletes NES Super Mario Bros. 3 (USA PRG1) "warps" by Genisto in 10:34.55 (2005-05-18)
- - - - - - obsoletes NES Super Mario Bros. 3 (JPN) "warps" by Genisto in 10:53.52 (2004-03-29)
- - - - - - - obsoletes NES Super Mario Bros. 3 (JPN) "warps" by Michael F in 10:58.92 (2004-02-12)
- - - - - - - obsoletes NES Super Mario Bros. 3 (JPN PRG0) "warps" by Morimoto in 11:03.95 (2003-11-20)
Added NES Super Mario Bros. 3 (USA PRG1) "arbitrary code execution" by Lord Tom in 08:16.23 (2016-01-13)
Added NES Super Mario Bros. 3 (USA PRG0) "warpless" by Lord Tom & Tompa in 46:20.3 (2015-12-21)
- obsoletes NES Super Mario Bros. 3 (USA PRG0) "warpless" by adelikat, andymac, Lord Tom & Tompa in 47:04.7 (2010-06-27)
- - obsoletes NES Super Mario Bros. 3 (USA PRG0) "warpless" by adelikat, Deign, Cardboard & JXQ in 47:33.52 (2008-02-18)
- - - obsoletes NES Super Mario Bros. 3 (USA PRG1) "warpless" by JXQ in 48:29.17 (2006-01-11)
Added NES Super Mario Bros. 3 (USA PRG0) "all levels" by Lord Tom & Tompa in 1:04:36.9 (2015-05-04)
- obsoletes NES Super Mario Bros. 3 (JPN) "all levels" by Tokushin in 1:17:40.7 (2001-02-05)
[3918] SNES Super Mario All-Stars: Super Mario Bros. 3 (JPN v1.0) "warps" by Maru in 10:23.51
[1715] NES Super Mario Bros. (JPN/USA PRG0) "warps" by HappyLee in 04:57.31
[1724] NES Super Mario Bros. 2 (USA PRG0) "warps" by Aglar & Andrewg in 07:41.16
[3644] SNES Super Mario All-Stars: Super Mario Bros. 2 (JPN v1.0) by mtvf1 in 07:16.46
[3348] FDS Super Mario Bros. 2 (JPN) "warps, Mario" by HappyLee in 08:04.83
[2210] FDS Super Mario Bros. 2 (JPN) "warps, Luigi" by HappyLee & KFCMario in 08:13.77
[1365] FDS Super Mario Bros. (JPN) "-3 stage ending" by HappyLee in 02:44.61
[3643] Wii New Super Mario Bros. Wii (JPN) "warps" by Nonster in 25:02.1
[1035] SNES Super Mario All-Stars: Super Mario Bros. 3 (USA) "playaround" by Genisto in 1:06:46.28
[3363] NES The Quest of Ki (JPN) "warps" by fsvgm777, ruadath & TaoTao in 02:27.51
[2667] GBA Super Mario Advance 2: Super Mario World (JPN) "warps" by gbreeze in 09:55.84