text:
Das standardisierte Privatkundengeschäft (oder Retail Banking; von  "Einzelhandel") ist ein Teil des Privatkundengeschäftes der Kreditinstitute, das auf dem Massenmarkt durchgeführt wird.

Allgemeines
Privatkunde ist jede natürliche Person, die eine Bankverbindung weder aus gewerblichen noch aus einer selbständigen beruflichen Tätigkeit unterhält. Im Gegensatz zum Private Banking, das ebenfalls Teil des Privatkundengeschäftes der Banken ist, sich an vermögende Privatkunden richtet und auf dem Klassenmarkt stattfindet, stehen beim standardisierten Privatkundengeschäft keine individuellen Lösungen, sondern der Vertrieb von Standard-Finanzprodukten im Vordergrund. Es wird als ein produkt- oder produktionszentriertes, standardisiertes Massengeschäft mit einer Vielzahl von Bankkunden verstanden.

Bestandteile
Wesentliche Bereiche des Retailgeschäfts sind
 Einlagengeschäft:
 Finanzprodukte wie Sparkonten, Tages- und Termingelder, Sparbriefe;
 Wertpapier- und Wertpapierdepotgeschäft;
 Kreditgeschäft:
 Kredite wie Konsumkredite, Dispositionskredite, Lombardkredite;
 Baufinanzierungen;
 Zahlungsverkehr:
 Kontoführung und bargeldloser Zahlungsverkehr;
 Zahlungskarten;
 Barauszahlungen und Bareinzahlungen über Geldautomaten.
Hinzu kommt der Vertrieb von Bausparverträgen, Investmentfonds und Versicherungen.

Im Vergleich zu dem Firmenkundengeschäft, aber auch zum Private Banking, ist das Absatzvolumen der einzelnen Geschäfte relativ gering. Im Gegenzug sind hohe Stückzahlen zu bearbeiten. Aus diesem Grund werden hoch standardisierte Produkte anstelle von individuellen Lösungen angeboten.

Ein einheitlich angewandter Preisaushang informiert gemäß  Abs. 1 PAngV in den Geschäftsräumen über die Regelsätze im standardisierten Privatkundengeschäft. Dazu gehören die Zinssätze (Soll-, Kredit-, Überziehungs- und Habenzinsen), Bankgebühren oder Provisionen. Die Kreditinstitute verhalten sich hinsichtlich der Preisgestaltung als Optionsfixierer, lassen also im Regelfall keine Preisverhandlungen zu.

Vertriebskanäle
Der Vertrieb im standardisierten Privatkundengeschäft erfolgt über verschiedene Vertriebskanäle:
 über ein eigenes Filialnetz,
 über eine Direktbank,
 über das Telefonbanking oder
 über das Internetbanking.
Der Vertrieb stellt für das Retailgeschäft einen wesentlichen Kostenblock dar. Daher sind Bankprodukte, die ohne einen stationären Vertrieb (und ohne Beratung) auskommen, typischerweise preisgünstiger.

Im Retailgeschäft sind erheblich höhere Margen zu erwirtschaften als im Geschäft mit Firmenkunden. Durch die hohe Standardisierung und das Massengeschäft können sich Universalbanken das Gesetz der Massenproduktion mit dem Kostenvorteil der Kostendegression zu Nutze machen.

Der Markt
In Großbritannien herrscht im Retailgeschäft ein Oligopol weniger Banken, die sich kaum Konkurrenz machen und somit hohe Margen im Retailgeschäft verwirklichen können. Das Gegenbeispiel existiert aktuell in Deutschland, das im Retailgeschäft eine hohe Bankstellendichte aufweist. Eine Vielzahl verschiedener Anbieter von Sparkassen über Genossenschaftsbanken, Großbanken bis hin zu den exklusiven Privatbanken konkurrieren intensiv am Markt.

Das Schweizer Retail Banking macht einen besonders großen Teil des gesamten Bankgeschäfts aus, da man davon ausgehen kann, dass eine Bank deutlich mehr Privatkunden als Firmenkunden betreut. Deshalb sind hier auch viele Mitarbeiter beschäftigt, die die Kunden beraten und informieren sollen, denn ein großer Teil des Gewinns der Banken wird aus dem Retail Banking, also dem Geschäft mit den Privatkunden, generiert, sodass sich die Investition in eine große Anzahl Mitarbeiter durchaus lohnt. Von der aktuellen Finanzkrise ist das Retail Banking kaum betroffen. Der Schweizer Bankkunde zahlt bis zu Fr. 200 für die alltäglichen Dienste der Bank und ist somit weltweiter Rekordhalter.

Einzelnachweise

Bankwesen


David Drake: Can Obama Get The Blue Collar Vote?
Can Obama Get The Blue Collar Vote?
He's just a regular Middle Class guy?
ABC's Nightline posed the question on their Wednesday program whether or not Osama Hussein Obama Ted Kennedy's Poodle can appeal to the Blue Collar voting bloc.
The Nightline crew followed him around his campaign stops in Pennsylvania. He was shown at a deli saying that he likes goat cheese and sampling some. Unless I'm mistaken, I think every Blue Collar worker's first choice of cheese is goat cheese, isn't it?
Nightline also pointed out that Obama is fond of Prosciutto, which Nightline pointed out retails for $100 per pound. Prosciutto is another top favorite of all Blue Collar workers, isn't it? I think it is.
Obama declined appearances at any places where he would have been filmed ordering or eating a Philly cheesesteak, thus avoiding the John Kerry faux pas of 2004 when ordering his Philly cheesesteak with...Swiss.
Nightline also covered Obama saying he likes arugula. Again, correct me if I'm wrong, but arugula is another daily staple in the lunch box of every Blue Collar worker along with Brie and caviar.
Finally, Obama was shown bowling. His score was a measly 37. 37!
Obama is an Elitist. Nightline proved it. He cannot and will not appeal to Blue Collar voters and he will not get their vote.
Republican presidential candidate John McCain, on the other hand, seems like a guy who would be right at home at a back yard BBQ with burgers on the grill and a keg. Hell, McCain likely knows how to tap a keg. Obama...I'm not so sure.
Hey, just to let you know, your blog reads really well on my phone, that is rare. Thanks for putting all the links and stuff on the RIGHT side of your blog, that makes it so much easier on me when the power is out because Mississippi got racked with tornadoes today. Try reading blogs on a two inch square screen and you know what I mean.
Anyhoo, please pass along this really, really good article written by an absolute genuis with a bunch of great links regarding Barry and his humongous lying problems. Damn, this blogger is good.
Always happy to pass along your fine writing TD.
I see another post of yours where you're getting inundated with emails from the Barry O campaign, yet not getting any response to your question. What a pile of you knwo what!
Glad to hear my site looks good on a phone. I've yet to see what it looks like on a phone.


As of April 2018, PKVerleger LLC will post summaries of relevant articles focusing on the International Maritime Organization's coming imposition of the 0.5-percent sulfur limit on marine bunker fuel. We anticipate maintaining this service until the end of 2019. It may end sooner, however, if the IMO decides to revise its mandated restriction on marine-fuel sulfur content.
Use this link to download or view the current IMO 2020 Watch™ file.


Beauty ecommerce site Coterie is today announcing a seed raise of $1.5 million from SoftTech VC, Javelin Venture Partners and Michael Jung.
The company will eventually let customers subscribe to their favorite Coterie-featured beauty products via its "My Vanity" feature. "My Vanity," which will roll out in three weeks, allows customers to follow brands and subscribe to beauty products they need replenished.
Magee views the company as competitive with Sephora and Beauty Bar, but holds that the "My Vanity" feature, site creative and the personalization of the shopping experience is what sets the startup apart from the incumbents.


There is an article over at SearchDataCenter.com on Windows CCS adoption and trends in the HPC industry. The article is useful as an overview of who's adopting CCS and what they're doing with it.
Professor Saifur Rahman of the Advanced Research Institute at Virginia Tech in Arlington, Va., uses Windows on the institute's HPC cluster to run and analyze medical data.
…Rahman chose Windows rather than traditional Linux because students are familiar with Microsoft software.
Don Becker — who is the founder and chief technical officer of Scyld Software and the co-founder of the original Beowulf project, which is the cornerstone of commodity-based, high-performance cluster computing — was surprised to hear such positive feedback about Windows on clusters.
People in old-line HPC who blithely dismiss Windows CCS as a marketing stunt are missing the major shift in our industry; a shift that will shape the next decade of HPC systems development.
HPC is pushing down into the enterprise. Enterprises that run Windows. Enterprises with bottom line profit motivators and a religious devotion only to getting their work done. There is no element of computer research or advancing the state of the art in their use of HPC. They're looking for a least pain, highest payback path for their HPC investment.
For many of these companies at the start of HPC adoption, Windows CCS will be just what they need, and that will create an immediate huge commercial driver for hardware vendors to develop solutions that support CCS. This will skew the HPC market even more severely than it's already skewed toward commodity components, and may be what kills the old line independent HPC hardware manufacturers.
In the long run enterprises will gain more experience with HPC, and they may find a business need to run very large jobs on HPTC-class systems, a market currently served exclusively by *nix. But if Windows CCS can grow as its customers' needs grow, there won't be a reason for enterprises to ever leave CCS. Widespread adoption of large HPC in the enterprise will create a market that is at least an order of magnitude larger than the HPTC market will ever be, and that will spell the end of *nix in HPC. A $10B customer wins over a $1B customer.
Now, can Microsoft screw this up? You bet. But right now, enterprise HPC is theirs to lose, and traditional HPC needs to be pragmatic as it draws up plans for the next 5 to 10 years.
In my opinion any HPC company (software or hardware) without at least a plan to support Windows CCS is taking an enormous risk. And any serious HPTC customer that isn't talking to Microsoft, and trying to get them to understand our requirements, is putting themselves in a position of having to settle for whatever operating system enterprise customers demand.
I agree that Windows CCS will likely become important in HPC, especially in desktop-up migration scenarios. My bigger question is, what do you mean by "the enterprise"? This term is used by people in unclear ways. Do you mean in HPC existing industrial markets, such as automotive, aerospace and life sciences; or HPC proximity markets, i.e., technical computing in financial services, movie-making, etc.; or do you mean in non-technical computing business applications, such as HR, payroll, customer relationship management? I'm just seeking terminological clarity. Thanks.
Steve: good point. For the most part I look at HPC in existing industrial segments (aerospace, automotive, energy) as HPTC of the same class that we do in the US federal laboratories. In many cases they are solving the same problems with the same codes as we do on the federal side.
"Enterprise HPC" in the context of this web site usually means applications in commercial settings that are applying big(ger) compute to core business applications (data search and management, ERP, logistics…) as well as industries that will use HPC in non-HPTC ways (like entertainment, for example).


Employees in branch offices often need as much bandwidth and application access as their peers in the main office. SD-WAN technology helps them get it.
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text:
Home » Sport » History Making Mandzukic Snubs Croatian Media
History Making Mandzukic Snubs Croatian Media
Croatia and Bayern Munich striker Mario Mandzukic became the first Croatian last night to score in a Champions League final when he opened the scoring at Wembley in London last night in his sides 2:1 victory over Borussia Dortmund.
An excited Mandzukic, who was quick to drape a Croatian flag around himself after the win, was in no mood however to give an interview with Croatian media. "I am not making any comments to Croatian media until they apologise. I am very happy tonight and I don't care about you," said Mandzukic, writes daily Vecernji list.
Mandzukic, who was not happy with articles posted in Croatian media reporting on his interview with Tuttosport on the day of the final which he says were made up, was quick to post on his Twitter profile a photo from the changing rooms with him holding the famous "big ears".
bayern munichchampions leaguecroatiafinalfirst croatiangoalmario mandzukic
10 things to do in Karlovac
Hvar: 15 things to see on Croatia's beautiful island
Brač: 12 things to do on Dalmatia's largest island
Ryan Reynolds: 'I recommend Croatia, I love this place'
American-Croatian featured on HGTV's new show "Mediterranean Life"
Things to do in Skradin on the Dalmatian coast
Croatia ranked world's 22nd safest country
What to do on the island of Rab? 10 things to check out
Road tripping down Croatia on the Adriatic highway

redpajama_set_name: RedPajamaCommonCrawl


text:
https://rocketswire.usatoday.com/2019/06/03/former-rockets-coach-roy-rogers-joins-bulls-staff/
Former Rockets coach Roy Rogers joins Bulls staff
Highly experienced coach Roy Rogers has landed a three-year deal with the Chicago Bulls.
Rogers, who is 45-years-old, had just spent his last three seasons with the Houston Rockets under Mike D'Antoni.
He will serve in the same position in Chicago as he did in Houston, as an assistant coach. The Rockets parted ways with him late last month in the midst of a wild and shocking exodus of multiple coaches.
The former power forward played for the Boston Celtics, Toronto Raptors and Denver Nuggets. Rogers also had a few seasons playing abroad before joining the world of coaching as an assistant 2013 for the Brooklyn Nets.
Rogers is known as a defensive guru, as is coach Jeff Bzdelik, who the Rockets also parted ways with in May.
Former Rockets assistant Roy Rogers has agreed to a three-year deal to join the Chicago Bulls an assistant coach, league source tells ESPN.
— Adrian Wojnarowski (@wojespn) June 3, 2019
Rogers will serve under head coach Jim Boylen, who agreed to an extension with the Bulls last week.
After finishing with a 22-60 overall record, the Bulls have the No. 7 pick in this year's 2019 NBA Draft. It appears the front office wants their coaching staff fully rounded out before the draft on June 20.


Trackless shower doors are hassle free compared to their counterparts. Imagine never having to worry about the door coming off its track again. Trackless also means that the door is free of barriers for those looking to create a safer environment.
No more picking the door up to put it back on its path. No more build up in the track that used to catch dirt, debris and mildew. This is a hassle free, cleaner way to think of showers. These features alone make it the best most enduring product out on the market.
Are you looking to eradicate barriers in your world? Whether to help a handicapped member of the family be able to get around without help or just to eliminate a hazard that can trip any member of the family, installing a trackless shower door means that you will no longer have to step over that sharp dangerous obstacle while accessing your shower. Imagine a world where no more toes are stubbed or wheelchairs stopped. This is friendlier world for sure.
The Shower Door City professionals are experts at creating a barrier free home for your family. Call us today to find out what options await you in this new bathroom you can create with Shower Door City. Let us help you access your clean, new bathroom. Isn't that all you want?


text:
Jon Favreau to develop Star Wars live-action series
If you needed another reminder that there will continue to be Star Wars media even after you're dead, here's a television show announcement for you. Lucasfilm today confirmed that Jon Favreau, the director of Iron Man, The Jungle Book and Chef will "executive produce and write" a new live-action Star Wars series for Disney's online streaming platform.
As with most of these recent Star Wars projects announced by Lucasfilm, including a trilogy with Rian Johnson and an unspecified number of films from the showrunners of Game of Thrones, no plot details are known—alls we know is that these filmmakers are really excited to be making Star Wars stuff.
Lucasfilm President Kathleen Kennedy, in continuing her pattern of only hiring white dudes for these jobs, said in a statement:
"I couldn't be more excited about Jon coming on board to produce and write for the new direct-to-consumer platform. Jon brings the perfect mix of producing and writing talent, combined with a fluency in the Star Wars universe. This series will allow Jon the chance to work with a diverse group of writers and directors and give Lucasfilm the opportunity to build a robust talent base."
Favreau states:
"If you told me at 11 years old that I would be getting to tell stories in the Star Wars universe, I wouldn't have believed you. I can't wait to embark upon this exciting adventure."
Star Wars will soon be so money that it won't even know it. Favreau is no stranger to the galaxy far, far away, having voice roles in animated series The Clone Wars and a role as a CGI alien in the upcoming Solo. In the meantime, Favreau is hard at work on the 2019 remake of The Lion King.
Jon Favreau to Executive Produce and Write Live-Action Star Wars Series [StarWars.com]


The IEC's work relates to standard-setting in the area of information and communications technology (ICT), also underpinning the Internet; examples include standards related to: low-voltage equipment, integrated circuits, cables, navigation systems, and electro-magnetic spectrum issues. The Commission also develops ICT standards for business and consumer applications, covering aspects such as: storage, data transfer and security, standardisation related to software systems, and some aspects of cryptography, biometrics, etc. The work of one of its groups is focused on standards related to multimedia e-publishing and e-book systems.
In addition to the development of standards, the organisation also publishes recommendations, in the form of white papers. Internet of Things and smart cities are two issues that have been tackled in such white papers.


www.Hccu.info, also known as Hccu, looks to be located in Scottsdale, Arizona in United States based on our research.
So far today, there have been 1,083 IP address and website location searches in addition to yours. The information on www.Hccu.info is presented based on your search that included the suffix of Hccu.
For more information on www.Hccu.info, you can visit the Hccu site or IP directly.


Wellness conferences used to be like seasons, but in the last 5 years, they all seemed to start feeling like the movie Groundhog Day (more of the same)! Then I went to the the 8th Annual EHBC Wellness Conference in Washington, DC. What an experience! I was at the 1st annual in Hollywood, FL and the 6th annual and this was by far the greatest. I'd like to share of a few of the take-aways I got out of the conference this year.
2. Sleep is the NEXT BIG THING in wellness. Arianna Huffington, Founder of the Huffington Post shared her story of how she "learned the value of sleep the hard way", by fainting from exhaustion and hitting her head on her desk. Too long have corporate cultures rewarded and reinforced the first one in and last one to leave practice. If one of the main values of wellness is to increase productivity, happiness and smarter decision-making, then companies have to start valuing and extending policies that make it realistic for employees to get a good nights rest and recharge before the next work day. The main message is to DISCONNECT.
3. There will be no shortage of wellness technology. Fitness devices, analytics or apps, tech vendors were the majority in the exhibit hall. Delivering messages and influencing people's point of view will always be a challenges and technology is bringing us more great ways to spread the messages. We can't lose sight around the fact that motivation is still the main driver and emotions effect decisions more than anything else. We need to start powering down the devices to increase our natural energy. So keep bringing the newest bells and whistles to get attention, but make sure that when you have their attention, the messages are meaningful, relevant and ongoing.
4. Inspired Perspectives was a square on the Exhibit Hall Bingo Card! I just thought that was the coolest thing ever!


ptonev.com > Products and Projects > Speaker Notification Miranda Plugin > new feature ?
Why not adding an option to only have a short ring when an new message arrive ?
when an new message arrive?
OK, I promise to add this feature in short-short time.
I agree! I would love that feature too.
sorry for BUG late but I have much other (primary) work.
Make of Miranda Plugins is only hobby and support on my Delphi skill.
I try to make/set this feature at near time.
best regards and thanks for patience.


I chose Dr. Taylor to complete my treatments for many reasons, but first and foremost I trust him. I have been one of his patients for over 12 years now and he has always been extremely honest with me. He always takes his time when it comes to explanations. I have never felt like he was trying to rush. He is just so genuine and I respect him very much!
These procedures have not only given me permanent front teeth, it has given me peace of mind as well. I have been dealing with temporary teeth, flippers, and bridges since I was 7 years old. This is the first time in my life I remember feeling like I have solid, natural teeth. I don't worry about them anymore and I feel more confident.
There are so many options now when it comes to updating your smile, both in procedures and doctors. My recommendation would be get to know who you'll be working with. I can't imagine having gone through this process without someone I know, respect and trust.
We had many obstacles from finding the right temporary teeth that I could live with over the course of treatment, to keeping them in place. Everyone was always there to listen and help me through the process, both physically and emotionally.


That all said, people choosing these alternative forms of transportation face some serious risks to their safety. Unfortunately, the number of accidents between cars and pedestrians or bicyclists has increased dramatically in recent years. Between 2006 and 2015, there was a 53 percent increase in these accidents. Below are some reasons why this is happening and what we can do to keep everyone safer.
Distracted driving is a very real problem. You don't have to search too long before you find a driver staring down at a phone or cruising through traffic with both hands off the wheel, texting. Distraction can also affect pedestrians and cyclists who may not be watching where they are going.
The simplest way to avoid these accidents is to put away distractions and focus on driving, walking or cycling.
As this article notes, Atlanta streets can be dangerous by design. Rather than accommodating all types of traffic, many roads are designed with the sole focus of keeping cars moving as quickly as possible.
There is no easy fix for this problem. Officials have long tried to find solutions (and funding) that would provide bike lanes, wider sidewalks and other design elements, but many have failed to come to fruition. As such, cyclists and pedestrians should choose their routes wisely. If a road seems dangerous to navigate alongside cars, consider a different path.
With so many people commuting to, through and out of Atlanta, congestion is a problem. People get frustrated and anxious; traffic jams lead to fender benders; people attempt risky maneuvers to try and minimize delays. These can all create unsafe conditions for everyone on the road.
Again, there is no easy solution to this problem. To stay safe in these situations, commuters in all modes of transportation should calm down, try to stay patient and avoid reckless decisions that put themselves and others in danger.
Related Posts: What should I do if a dog bites my child?, Preventing accidents while walking in a winter wonderland, Study: Drivers aren't looking for pedestrians, What happens when you're the passenger in an accident?


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Експозицията в радиологията е мярка за йонизиращата способност на лъчение във въздуха. Тя е един от начините за оценка на дозата на йонизиращите лъчения.

Определение
Експозицията се определя като абсолютната стойност (dQ) на общия електричен заряд на йоните от един и същ знак, които се получават във въздух, когато всичките електрони и позитрони, освободени от фотони в обемен елемент въздух с маса (dm) са напълно спрени във въздуха:

Системната мярка за експозиция е  (кулон на килограм), а извънсистемната – рентген (R). Връзката между двете мерни единици е:

Мощност на експозицията
Мощност е нарастването на експозицията (dX) за интервал от време(dt):

Системната мярка за мощност на експозицията е  (ампер на килограм), а извънсистемната –  (рентгенчас).

Норми за експозиция
През 1931 г. Комитетът по защита от рентеново лъчение и гама-лъчението на радия постановява пределно допустима доза (ПДД) за облъчване на хора от 0,2 рентгена на ден. През 1936 г. тя е намалена на 0,1 Р/ден. През 1950 г. Международният конгрес по радиология намалява ПДД на 0,05 Р/ден за гама-лъчение до 3 MeV. През 1959 г. е установена норма от 10 mSv седмично за лица, които работят с радиоактивни материали. Така се преминава към прецизна оценка на погълнатата еквивалентна и ефективна доза йонизиращо лъчение.

Максимално допустимите дози за външно облъчване на хора при извънредни ситуации – ликвидиране на аварии и отбрана на страната (по време на война) през 2003 г. в Русия са:
 еднократно облъчване (до 4 денонощия) – 50 R;
 до 30 денонощия – 100 R;
 до 3 месеца – 200 R;
 до 1 година – 300 R.

Експозицията е мярка за йонизиращата способност на лъчението във въздуха. Тя не отразява точно погълнатата доза йонизиращи лъчения. Но все пак е очевидно, че колкото по-висока е експозицията в определен район и колкото по-дълго се намира човек в него, толкова по-голяма доза йонизиращи лъчения ще получи. След наблюдения при атомни взривове и аварии, по опитен път са установени следните зависимости между нивата на експозиция и възникването на лъчева болест:

Употреба и значение
През 21 век експозицията престава да се използва в практиката, понеже дава твърде обща и неясна представа за погълната доза йонизиращо лъчение. Рентгенът и производната от него мерна единица за мощност на дозата – рентген/час, стават извънсистемни единици. Те обаче имат голямо историческо значение. През 20 век прецизните уреди за измерване на радиацията са скъпи и редки, или изобщо липсват. Много статистически и научни данни за радиоактивност, ядрено оръжие и атомни електроцентрали са документирани с мерните единици Р и Р/ч.

Източници

Радиоактивност

redpajama_set_name: RedPajamaWikipedia


text:
Q: Action / Keylisteners do not work properly I have two frames (One main and one popup). On the main frame key & mouse listeners are added. Both work just fine. On the pop up there are 50 buttons. I have one action listener for all of them. It works fine. I also have key & mouse listeners. Mouse works. Key is flaky.
The same keyListener class used in main frame is added to the pop-up frame too.
As soon as the pop up shows, key listener works, once mouse click happens (Action listener kicks in) keylistener stops working. Please help. The code attached is a simplified version

import java.awt.*;
import java.awt.event.*;
import javax.swing.*;

public class key {
    private static  class toolsAction implements ActionListener {
        public void actionPerformed (ActionEvent ae) {
            log("Command " + Integer.parseInt(ae.getActionCommand()));
        }
    }
    private static void log(String s) { System.out.println(s); }
    private static class keyboardHandler implements KeyListener {
        public void keyPressed( KeyEvent e) { log("KB Press called ");   }
        public void keyReleased(KeyEvent e) { log("KB Release called "); }
        public void keyTyped   (KeyEvent e) { log("KB Typed called ");   }
    }
    public static void main(String [] args) {
        JFrame pFrame = new JFrame("Frame");
        pFrame.addKeyListener(new keyboardHandler());
        Container pane = pFrame.getContentPane();
        pane.setLayout(null);
        pane.setVisible(true);
        pFrame.setSize(650, 300);
        pFrame.setVisible(true);
        JButton[] buttons = new JButton[50];
        toolsAction action = new toolsAction();
        for (int i = 0; i < 50; i++) {
            buttons[i] = new JButton("" + i);
            buttons[i].setActionCommand("" + i);
            buttons[i].addActionListener(action);
            pane.add(buttons[i]);
            buttons[i].setBounds(((i % 10) * 60), ((i / 10) * 40), 60, 40);
        }
    }
}

A: An alternative approach uses Action and key bindings. The example below binds 10 buttons to the number keys, also using the numbers as the MNEMONIC_KEY of each.
import java.awt.*;
import java.awt.event.*;
import javax.swing.*;

/** @see http://stackoverflow.com/a/14182227/230513 */
public class Key {

    public static final int SIZE = 10;

    private static class ToolAction extends AbstractAction {

        public ToolAction(int i) {
            super(String.valueOf(i));
            putValue(MNEMONIC_KEY, KeyEvent.VK_0 + i);
        }

        @Override
        public void actionPerformed(ActionEvent ae) {
            System.out.println(ae.getActionCommand());
        }
    }

    public static void main(String[] args) {
        EventQueue.invokeLater(new Runnable() {

            @Override
            public void run() {
                JFrame f = new JFrame("Frame");
                f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
                f.setLayout(new GridLayout(0, SIZE / 2));
                for (int i = 0; i < SIZE; i++) {
                    final ToolAction toolAction = new ToolAction(i);
                    JButton b = new JButton(toolAction);
                    String name = b.getText();
                    b.getInputMap(JButton.WHEN_IN_FOCUSED_WINDOW).put(
                        KeyStroke.getKeyStroke(KeyEvent.VK_0 + i, 0), name);
                    b.getActionMap().put(name, toolAction);
                    f.add(b);
                }
                f.pack();
                f.setVisible(true);
            }
        });
    }
}

A: The KeyListener will only be executed if the component, to which the listener is added, has the (keyboard) focus. If you click on another component, that component will become the focus and the keyboard events will be sent to its KeyListeners.
Not sure if that is the problem without seeing the code of the popup, but it's the problem in the posted code...
EDIT
you can add an AWTEventListener to the Toolkit to intercept all events independently of the focused component:
private static class AWTListener implements AWTEventListener {
    @Override
    public void eventDispatched(AWTEvent event) {
        log("AWT: " + event);
    }
};

...

    Toolkit toolkit = Toolkit.getDefaultToolkit();
    toolkit.addAWTEventListener(new AWTListener(), AWTEvent.KEY_EVENT_MASK);

A: I solved this problem by adding MouseMotionListener and in the mouseMoved method calling pFrame.requestFocusInWindow() & also adding focus request in the button's actionPerformed method.
Even with just one button in a frame as long as the ActionListener is added to the button, KeyListener does not work.
This is kludgy at best, but works for me. I would still love to hear from the community why my original code does not work.

redpajama_set_name: RedPajamaStackExchange


text:
Q: How to include font in FFMPEG command without using the fontfile option? I am using the following command to add watermark in my video using font TIMESNEWROMAN:
ffmpeg -i input.webm -vf "drawtext=text='© Krishna':fontfile=C//:/Windows/Fonts/times.ttf:x=(main_w-text_w-10):y=(main_h-text_h-10):fontsize=32:fontcolor=black:box=1:boxcolor=white@0.5: boxborderw=5" -preset ultrafast output.mp4

Now, I want to provide the font TIMESNEWROMAN or any other font instead of fontfile path. Is it possible to do that?

A: Use the font option
If your ffmpeg was compiled with --enable-libfontconfig you can use the font option. From the drawtext filter documentation:

font
The font family to be used for drawing text. By default Sans.

Example
ffmpeg -i input.webm -vf "drawtext=text='© Krishna':font='Times New Roman':x=(main_w-text_w-10):y=(main_h-text_h-10):fontsize=32:fontcolor=black:box=1:boxcolor=white@0.5:boxborderw=5" output.mp4

To check for libfontconfig support
To check if your ffmpeg has --enable-libfontconfig just run the ffmpeg command with no options and it will output the configuration. Then look for --enable-libfontconfig.
If you don't have libfontconfig

*

*Windows users can download ffmpeg from BtbN which includes libfontconfig support.

*macOS users can download ffmpeg from evermeet.cx or use Homebrew with the --with-fontconfig option.

*Linux users can compile.


Thank God it's Friday!! Happy hour, cocktails, all weekend catch ups over brunch and nightlife euphoria are in overdrive for most of us. Then for those of us who work in events, this means ironing out your black or white button up, polishing your black dress shoes and confirming to the booking email for the job that your agency is sending you out to. But let's be real. Probably twenty-five percent of us will actually complete all those tasks. That's besides the point though.
Like any other dancer, artist or performer moving into the big city, catering events have always acted as my second or third shift jobs, aka my rent. After a number of years with simultaneous catering and events companies, an opportunity of working in the office for one of those agencies as a booker rolled off my skinny black tie and fell right into my lap. Now, strolling into the office with my regular 9-5 and still catering it up after hours and on weekends, the shared idiosyncrasies of events in different capacities become apparent, whether I'm in the office, sending out staff, or I'm out of the office working in events.
The moment when guests are invited into the main floor for dinner service, only to find that they'd rather stand, linger and schmooze with the those they haven't seen or have already seen but gossip is keeping them from taking their seats. All while you stand there with red and white wine in hand with a smile plastered on your face, thinking to yourself "Just sit down," because you still have to offer them wine, ask if they want fish or beef and move on to bread service and first course serve out, all in the time frame it takes you to Uber a car on your phone, because the father of the bride is about to make a speech.
The two hours before an event and one of your promo models text you to tell you they have to cancel because they booked a callback for a huge film and have to fly out to LA immediately.. You suddenly find yourself scrambling through your contact list, texting and calling all the staff known in your rolodex who will actually reply and see if they are available, can make it to the event on time and with the right uniform. Oh wait..and can they also be 5'11 or taller, blonde with blue eyes and a size two? I better start recruiting!
The busy week when you have events after events lined up, with multiples in one day and an unprecedented amount of staff being requested. Upon all the slots you have to fill, all the availability checks and confirmations you have to send out and between the hundreds of staff members you have in your system, you suddenly receive an email from one of your top male staff, confused and asking why he is confirmed for a high end women's lingerie promotion and to arrive in full hair and makeup with black heels. Oops.
The last minute of the event when your feet are throbbing and your back has given out from standing for ten hours. Starvation nation is calling because all you've had to eat were the few hor dourves you were able to sneak from cocktail hour. But but everything is golden because the day is done and aside from the 1.5 hours drive back into the city from the Hamptons, you know you won't have to deal with that bride who had a little bit too much to drink again.
The end of the office day when you've booked and confirmed all your staff for the following days of events and your mind is at peace knowing you've got all your bases covered for your clients and you can now relax to dinner with your boyfriend. IF ONLY. In the middle of dinner when your boyfriend is asking you to move in with him, your client calls and is requesting ten more staff for tomorrow's event at eight in the morning! All of sudden you're Anne Hathaway from The Devil Wears Prada and you find yourself in the office...even when you're out of the office.


InformzHow To Rock Your Mobile Landing Page!
When it comes to visual branding, the most important things I stress to clients is to remain consistent and to keep things simple.
One of the biggest signs that you're not following that simple design rule is font usage. It's the easiest way to tell a apart the professional websites and graphics from the DIY versions. Fonts are a big way that your clients will remember your brand and what you stand for and it's an area that every business owner should understand.
Font usage is one of the easiest things a DIY entrepreneur can fix on their site and branding to make it look professionally done.
1. Let's understand what font actually means. Font is the styling on a Typeface. For example, Helvetica can be bold or italic. A typeface battle is like pitting Helvetica and Times New Roman against each other.
So, instead of telling your designer: "I want a really feminine font," you should say "I want a really feminine typeface. But don't worry, even designers use them interchangeably! Just know the difference to avoid confusion.
2. To buy or not to buy… Depending on the style you're looking for, typefaces can get expensive, especially if the one you want has different versions, such as italic, font weights, etc. On the other side are free typefaces. These can be great when you find a good one – but you have to get a good one. Issues can arise from these downloads, including not enough options for weight.
The choice to purchase is yours. If you prefer to get a free version, try Google Fonts. They're easy to install on your site, from a great source, and you can download them to use in designs.
Whether you're getting it free or buying, make sure you read the fine print. There are sometimes limitations on how you can use the fonts. It could be print only or a certain number of visits on your website. The license might also only be available for a couple years.
3. Typefaces and Fonts have personalities. One that designers make fun of a lot is Comic Sans, when it's not really a bad typeface at all! The issue occurs when you're creating a professional design, such as a brochure, and using that child-like styling.
Think about what you're creating and who you want it to appeal to. Then look at your chosen typeface. Is it feminine when you actually wanted to appeal to manly men or body builders?
4. Know the basics of user experience when it comes to text. This will make things easier to read, especially on your website.
Lines should be no longer than 75 to 80 characters wide and no less than 60. This makes reading your amazing copy easier on the eyes.
Have enough spacing between lines (but don't over do it!). If the lines are so close together that when you squint they start to blend together, increase the spacing.
Keep a clear and consistent hierarchy of the typefaces and the important stuff. For example, each main heading will use a special font while everything else will use Helvetica. Sub-headlines, probably below the main one, will always be bold. Knowing your brand's guidelines will help you look professional and put together.
Think Kate Spade, Henri Bendel, and Target. How many different fonts can you spot on their site? Not many, right.
Instead of containing your creativity, this allows for a more cohesive looking brand.
Knowing the above tips for fonts will help you talk with your designer and create your own designs with ease.
Want to chat about your fonts, brand, or website? Sign up for a free call!


Pizzeria-quality pizzas, without the pizza chef.
Passion for quality and the search for better-performing technologies have allowed New Food to offer its clients a line-up of products offering the highest return, capable of bringing together service times for pubs, locales and restaurants, final client satisfaction, and speed of assistance and restocking.
The Qui Pizza concept allows you to offer your clients pizzeria-quality pizzas, without the pizza chef! How? Thanks to a precise selection of primary ingredients, a skilled elaboration and the special pizza oven provided.
A wide selection of pasta shapes, stuffed pasta, rice and baked pastas allows anyone to prepare truly gourmet first courses. Plus with the special pasta cooker, service is very fast, perfect for the lunch break!


text:
Darrin Camilleri is listed in the Progressive Voters Guide below.
Darrin Camilleri is a current representative in the Michigan House of Representatives in the 23rd District, and is running for Michigan State Senate. He is currently the minority whip for the House Democrats and the minority vice chair in the House Education Committee. Camilleri was named Progress Michigan's Legislator of the Year in 2017.
Camilleri's priorities include increasing wages, creating a fairer tax system, and securing pensions for seniors. He's also fighting to fully fund our classrooms, working to find a solution to fix our roads and bridges, and pushing policies to keep our air and water clean.
Camilleri is endorsed by seven of our partners: Planned Parenthood Advocates of Michigan, Michigan AFL-CIO, American Federation of Teachers Michigan, Sierra Club Michigan Chapter, Michigan League of Conservation Voters, Michigan Education Association, and Equality Michigan.
Camilleri is running against Republican Houston James. James is endorsed by the anti-choice organization Right to Life Michigan.
Darrin Camilleri is the most progressive choice in this race.
Learn more: https://darrincamilleri.com/
Darrin Camilleri is a current representative in the Michigan House of Representatives in the 23rd District, and is running for Michigan State Senate. He is currently the minority whip for the House Democrats and the minority vice chair in the House Education Committee.
Read more about Darrin Camilleri
Senate District 4th
Not in Senate District 4th? Click here to choose your customized guide.
Senate District 4th Voter Guide
Senator, 4th District
State Senator Darrin Camilleri
State Senator
Senate District 4th Sample Ballot


Win lower level season tickets to Tennessee Football with Fanrun Radio!!!
FOX Sports Knoxville is once again hitting the road for Tennessee's opening game of the season, and we want you to "Gear Up" and "Get on the Bus" with Fanrun Radio. Here's how it works.
At each Gear Up and Get on the Bus remote stop where we're broadcasting live throughout the summer, swing by and register. That day we'll draw a winner who will receive a $50 gift card from Alumni Hall to "Gear Up" and 2 seats to "Get on the Bus" with Premier Transportation which will take you to and from Charlotte for the Tennessee West Virginia game on September 1st.
Each time you register, you'll be entered to win the grand prize which includes a $300 gift card to Alumni Hall, 2 seats on the Premier Transportation bus AND 2 lower level season tickets to Tennessee football!
Increase your odds of winning by registering at each live broadcast remote stop on the tour. In addition, you can register for the grand prize at any live remote broadcast of Fanrun Radio this summer.
Stay tuned to Fanrun Radio on FOX Sports Knoxville, and follow @FOXSportsKnox on Twitter for the latest stops on the tour. We can't wait to see you on the Gear Up and Get on the Bus Tour sponsored by Alumni Hall and Premier Transportation.


In our first meeting, Wednesday, September 12, we will be having a used uniform sale as well. The cost of each used uniforms will be 50% of the original price.
During this time you can turn in your gently used uniforms for cash. We will pay 50% of original price per uniform. All uniforms must be in good condition.
It has been suggested that you order early if you know you are going to need certain items. In late August and early September Advent Source does not always have enough stock to cover all the Adventurer Club orders.
You can purchase the Azure Hills patch for the sleeves of your light blue dress uniform (Class "A") at the first meeting in September.
1. All uniforms can be purchase from: www.adventsource.org, some items may be purchased directly from Southeastern California Conference, and some items may be purchased directly from www.frenchtoast.com (sometimes Target carries them too).
3. You can go to Southeastern California Conference at Riverside CA and buy: blue t-shirts, adventurer cloth scarf slide, navy blue sash, world adventurer patch, and burgundy adventurer scarf.
You will need to pay cash o check.
4. You can order your uniform accessories (blue t-shirts, adventurer cloth scarf slide, navy blue sash, world adventurer patch, and burgundy adventurer scarf) through us at our first and second meeting. You will need to pay cash or check.
Items #1-7 can be purchased through Advent Source online.
- Staff Rank Stripe -- On right sleeve, between Crescent and Adventurer Patch. This will require moving the Adventurer Patch down and additional inch.
t-shirt displays the Adventurer logo in royal blue.
To be use during meeting and outings as well.
The following stores are just some of the places you may buy parts of the Adventurer uniform.


text:
\section{Introduction and main results}

The discrepancy of an $N$-element point set $\mathcal{P} = \{\boldsymbol{x}_1, \boldsymbol{x}_2, \ldots, \boldsymbol{x}_N\}$ in the unit cube $[0,1]^d$ measures the deviation of the empirical distribution of $\mathcal{P}$ from the uniform measure. This concept has important applications in numerical analysis, where so-called Koksma-Hlawka inequalities establish a deep connection between norms of the discrepancy function and worst case errors of quasi-Monte Carlo integration rules determined by the point set $\mathcal{P}$. For a comprehensive introduction and exposition on this subject we refer the reader to \cite{DP10,H2013,KN1974} and the references cited therein.

To define the concept of discrepancy, we first introduce the local discrepancy function $\Delta_{\mathcal{P}}: [0,1]^d \to \mathbb{R}$ defined as
\begin{equation*}
\Delta_{\mathcal{P}}(\boldsymbol{t}) = \frac{\#\{ j \in \{1, 2, \ldots, N\}: \boldsymbol{x}_j \in [\boldsymbol{0}, \boldsymbol{t}) \} }{N} - \mathrm{Vol}([\boldsymbol{0}, \boldsymbol{t}]),
\end{equation*}
where $[\boldsymbol{0}, \boldsymbol{t}) = [0, t_1) \times [0, t_2) \times \ldots \times [0, t_d)$ for $\boldsymbol{t} = (t_1, t_2, \ldots, t_d) \in [0,1]^d$ and $\mathrm{Vol}(\cdot)$ stands for the $d$-dimensional Lebesgue measure. We now apply a norm $\| \cdot \|_{\bullet}$ to the local discrepancy function to obtain the discrepancy $\| \Delta_{\mathcal{P}}\|_{\bullet}$ of the point set $\mathcal{P}$ with respect to the norm $\|\cdot \|_{\bullet}$. Of particular interest are the norms on the usual Lebesgue spaces $L_p$ ($1 \le p \leq \infty$) of $p$-integrable functions on the unit cube $[0,1]^d$. Those lead to the central notions of $L_p$-discrepancy for $1\leq p<\infty$, and the $L_\infty$-discrepancy, which is usually called the star-discrepancy, when $p=\infty$.

The $N^{\mathrm{th}}$ minimal discrepancy with respect to the norm $\|\cdot \|_{\bullet}$ in dimension $d$ is the best possible discrepancy over all point sets of size $N$ in the $d$-dimensional unit cube $[0,1]^d$, i.e.,
\begin{equation*}
\mathrm{disc}_{\bullet}(N,d) = \inf_{\stackrel{\mathcal{P} \subseteq [0,1]^d}{|\mathcal{P}| = N}} \| \Delta_{\mathcal{P}}\|_{\bullet}.
\end{equation*}
We compare this value with the initial discrepancy given by the discrepancy of the empty point set $\| \Delta_{\emptyset} \|_{\bullet}$. Since the initial discrepancy may depend on the dimension, we use it to normalize the $N^{\mathrm{th}}$ minimal discrepancy when we study the dependence of $\mathrm{disc}_{\bullet}(N,d)$ on the dimension $d$. We therefore define the inverse of the $N^{\mathrm{th}}$ minimal discrepancy in dimension $d$ as the number $N_{\bullet}(\varepsilon, d)$ which is the smallest number $N$ such that a point set with $N$ points exists that reduces the initial discrepancy at least by a factor of $\varepsilon\in(0,1)$,
\begin{equation*}
N_{\bullet}(\varepsilon, d) = \min \big\{ N \in \mathbb{N}\,:\, \mathrm{disc}_{\bullet}(N, d) \le \varepsilon \|\Delta_\emptyset \|_{\bullet} \big\}.
\end{equation*}
In this paper we are interested in how $N_{\bullet}(\varepsilon, d)$ depends simultaneously on $\varepsilon$ and the dimension $d$. In general, the dependence of the inverse of the $N^{\mathrm{th}}$ minimal discrepancy can take different forms. For instance, if the dependence on the dimension $d$ or on $\varepsilon^{-1}$ is exponential, then we call the discrepancy intractable. If the inverse of the $N^{\mathrm{th}}$ minimal discrepancy grows exponentially fast in $d$, then the discrepancy is said to suffer from the curse of dimensionality. On the other hand, if $N_{\bullet}(\varepsilon, d)$ increases at most polynomially in $d$ and $\varepsilon^{-1}$, as $d$ increases and $\varepsilon$ tends to zero, then the discrepancy is said to be polynomially tractable. This leads us to the following definition.

\begin{definition}\label{def_poly_tract}
The discrepancy with respect to the norm $\| \cdot \|_{\bullet}$ is \textit{polynomially tractable} if there are numbers $C \in(0,\infty)$, $\tau \in(0,\infty)$, and $\sigma \in(0,\infty)$ such that
\begin{equation}\label{condPTdef}
N_{\bullet}(\varepsilon, d) \le C\, d^\tau \varepsilon^{-\sigma}, \quad \mbox{for all } \varepsilon \in (0,1) \mbox{ and all } d \in \mathbb{N}.
\end{equation}
The infimum over all exponents $\tau\in(0,\infty)$ such that a bound of the form \eqref{condPTdef} holds is called the $d$-exponent of polynomial tractability.
\end{definition}

To cover cases between polynomial tractability and intractability, we now introduce the concept of weak tractability, where $N_{\bullet}(\varepsilon, d)$ is not exponential in $\varepsilon^{-1}$ and $d$. This encodes the absence of intractability.

\begin{definition}\label{def_weakly_tract}
The discrepancy with respect to the norm $\| \cdot \|_{\bullet}$ is weakly tractable, if
\begin{equation*}
\lim_{d+\varepsilon^{-1}  \to \infty} \frac{\log N_{\bullet}(\varepsilon, d)}{d+\varepsilon^{-1}} = 0.
\end{equation*}
(Throughout this paper $\log$ means the natural logarithm.)
\end{definition}

The subject of tractability of multivariate problems is a very popular and active area of research and we refer the reader to the books \cite{NW08,NW10} by Novak and Wo\'{z}niakowski for an introduction into tractability studies of discrepancy and an exhaustive exposition.

A famous result by Heinrich, Novak, Wasilkowski, and Wo\'{z}niakowski \cite{HNWW} based on the theory of empirical processes and Talagrand's majorizing measure theorem shows that the star-discrepancy is polynomially tractable. In fact, they show that $\tau$ in Definition~\ref{def_poly_tract} can be set to one and hence in this case the inverse of the star-discrepancy $N_{L_\infty}(\varepsilon, d)$ depends at most linearly on the dimension $d$.
It was shown in \cite{HNWW} and \cite{H2004} that $\tau=1$ is the minimal possible $\tau$ in Definition~\ref{def_poly_tract} for the star-discrepancy. Determining the optimal exponent $\sigma$ for $\varepsilon^{-1}$ is an open problem.
On the other hand, the $L_2$-discrepancy is known to be intractable, as shown by Wo\'{z}niakowski \cite{W99} (see also \cite{NW10}). The behavior of the inverse of the $L_p$-discrepancy in between, where $p \notin \{2, \infty\}$, seems to be unknown.

Note that due to the normalization with the initial discrepancy, we cannot infer a continuous change in the behavior of $N_{L_p}(\varepsilon,d)$ as $p$ goes from $1$ to $\infty$. A natural assumption seems to be that the $L_p$-discrepancy is intractable for any $p \in [1, \infty)$. If correct, this would mean that there is a sharp change from intractability to polynomial tractability as one goes from $p\in [1, \infty)$ to $p=\infty$. A natural question which hence arises is what happens between those two cases $p \in [1, \infty)$ and $p = \infty$.

To study this question we shall work in the setting of (specific) Orlicz spaces. Let us recall that a function $M:[0,\infty)\to[0,\infty)$ is said to be an Orlicz function if $M(0)=0$, $M$ is convex, and $M(t)>0$ for $t>0$. If $\lim_{x\rightarrow 0} M(x)/x=\lim_{x\rightarrow \infty}x/M(x)=0$, then $M$ is called an $N$-function. The previous limit assumptions simply guarantee that the convex-dual is again an $N$-function. Now if $D\subseteq \mathbb{R}^d$ is a compact set, we define the Orlicz space $L_M$ to be the space of (equivalence classes of) Lebesgue measurable functions $f$ on $D$ for which
\[
\|f\|_{M} := \inf \left \{ K > 0: \int_{D} M \left( \frac{|f(\boldsymbol{x})|}{K} \right) \, \mathrm{d} \boldsymbol{x} \le 1 \right\} < \infty.
\]
The latter functional is a norm on $L_M$ known as Luxemburg norm, named after W.~A.~J.~Luxemburg~\cite{Lux}, which turns $L_M$ into a Banach space. One commonly just speaks of Orlicz functions, Orlicz norms, and Orlicz spaces. An introduction to the theory of Orlicz spaces can be found in \cite{KR1961}.

For our purpose, we introduce for $\alpha\in[1,\infty)$ the exponential Orlicz norms $\|\cdot \|_{\psi_\alpha}$, which for a measurable function $f$ defined on $[0,1]^d$ are given by
\begin{equation*}
\| f \|_{\psi_\alpha} = \inf \left \{ K > 0: \int_{[0,1]^d} \psi_\alpha \left( \frac{|f(\boldsymbol{x})|}{K} \right) \, \mathrm{d} \boldsymbol{x} \le 1 \right\},
\end{equation*}
where $\psi_\alpha(x) = \exp(x^\alpha) - 1$. The assumption $\alpha \geq 1$ guarantees the convexity of $\psi_\alpha$. These norms play an important role in the study of the concentration of mass in high-dimensional convex bodies \cite{AGM_book, BGVV2014, LT77} and have recently found applications in the tractability study of multivariate numerical integration \cite{HPU2019}. They have appeared earlier in discrepancy theory and the related multivariate integration problems in fixed dimension \cite{BLPV2009, BM2018, DHMP2017}. As we shall see later, the discrepancy with respect to $\psi_\alpha$-norms turns out to be polynomially tractable as well.

In our context it is interesting to also study variations of these norms exhibiting different types of behavior of $N_{\bullet}(\varepsilon, d)$ as a function of the dimension $d$. In fact, we may write $\psi_\alpha$ as the series
\begin{equation*}
\psi_\alpha(x) = \frac{x^\alpha}{1!} + \frac{x^{2 \alpha}}{2!} + \frac{x^{3 \alpha}}{3!} + \cdots
\end{equation*}
and consider the more general case where $\psi_{\alpha}$ is replaced by a function
\begin{equation}\label{def:psi}
\psi_{\alpha, \varphi}(x) = \frac{x^\alpha}{ ( \varphi(\alpha) )^{\alpha} } + \frac{x^{2\alpha}}{ (\varphi(2 \alpha ))^{2 \alpha} } + \frac{x^{3\alpha}}{( \varphi(3 \alpha ))^{3 \alpha} } + \cdots
\end{equation}
for a non-decreasing function $\varphi: [0,\infty) \to (0,\infty)$ with $\lim_{x \rightarrow \infty}\varphi(x)=\infty$. Note that the growth condition on $\varphi$ guarantees, according to the ratio test, the absolute convergence of the series \eqref{def:psi} for all $x \in [0,\infty)$. Choosing $\varphi(p \alpha) = ( p! )^{1/(p \alpha)}$ takes us back to the $\psi_\alpha$-norm, which is therefore a special case of the more general setting.

Below we will characterize functions $\varphi$ for which the discrepancy with respect to $\| \cdot \|_{\psi_{\alpha, \varphi}}$, given by
\begin{equation*}
\| f \|_{\psi_{\alpha, \varphi}} = \inf \left \{ K > 0: \int_{[0,1]^d} \psi_{\alpha, \varphi} \left( \frac{|f(\boldsymbol{x})|}{K} \right) \, \mathrm{d} \boldsymbol{x} \le 1 \right\},
\end{equation*}
is polynomially tractable and weakly tractable.

The aim of this paper is to show the following result.

\begin{theorem}\label{thm1}
Let $\alpha\in[1,\infty)$. Then the following hold:
\begin{enumerate}
\item The discrepancy with respect to the $\psi_\alpha$-norm $\| \cdot \|_{\psi_\alpha}$ is polynomially tractable.
\item For any non-decreasing $\varphi:[0,\infty)\to (0,\infty)$ with $\lim_{x \rightarrow \infty}\varphi(x)=\infty$ for which there exists an $r \ge 0$ and a constant $C \in(0,\infty)$ such that for all $p\geq 1$
\begin{equation}\label{condPT}
\varphi(p) \le C\, p^r,
\end{equation}
the discrepancy with respect to $\| \cdot \|_{\psi_{\alpha, \varphi}}$ is polynomially tractable. The $d$-exponent of polynomial tractability is at most $3+2r$.
\item For any non-decreasing $\varphi:[0,\infty)\to (0,\infty)$ with $\lim_{x \rightarrow \infty}\varphi(x)=\infty$ which satisfies
\begin{equation}\label{condWT}
\lim_{p \rightarrow \infty} \frac{\log \varphi(p)}{p} =0,
\end{equation}
the discrepancy with respect to $\| \cdot \|_{\psi_{\alpha, \varphi}}$ is weakly tractable.
\end{enumerate}
\end{theorem}

\begin{remark}\rm
Note that by choosing $\psi_{\alpha, \varphi}(p) = p^\alpha$ we obtain the classical $L_\alpha$-norm. In this case $\varphi(\alpha)=1$ and $\varphi(x)=\infty$ for all $x>\alpha$. This choice of $\varphi$ does not satisfy any of the conditions in Theorem~\ref{thm1}.

An example of a function $\varphi$ that satisfies condition \eqref{condWT} for weak tractability is $\varphi(p)=\exp(p^{\tau})$ with some $\tau \in (0,1)$. This function does not satisfy condition \eqref{condPT}.
\end{remark}

We can in fact provide a more accurate estimate for the exponential Orlicz norms and the $d$-exponent of polynomial tractability.

\begin{theorem}\label{thm2}
For any $\alpha \in[1,\infty)$, we have
\begin{equation*}
N_{\psi_{\alpha}}(\varepsilon, d) \le \left\lceil C_{\alpha} \, d^{\max\{1,2/\alpha\}}\, (\log(d+1))^{2/\alpha}    \varepsilon^{-2}\right\rceil,
\end{equation*}
where $$C_{\alpha}= 2601 \cdot \alpha^{2/\alpha} \cdot \left(\frac{\sqrt{2 \pi}}{{\rm e}^{11/12}}\right)^{2/\alpha} .$$
In particular, the $d$-exponent of polynomial tractability is at most $\max\{1,2/\alpha\}$.
\end{theorem}

This upper bound on $N_{\psi_\alpha}(\varepsilon,d)$ shows that for $\alpha \to \infty$ the inverse of the star-discrepancy depends linearly on the dimension, thereby matching the result of Heinrich, Novak, Wasilkowski, and Wo\'{z}niakowski \cite{HNWW}.

\vskip 2mm
In the following Section~\ref{sec:proofs} we present the proofs of our main results, where we start by establishing an equivalence between the norms $\| \cdot\|_{\psi_{\alpha,\varphi}}$ and an expression involving a supremum of classical $L_p$-norms. Subsection~\ref{subsec:thm1} is then devoted to the proof of Theorem~\ref{thm1}. The proof of Theorem~\ref{thm2} will be presented in Subsection~\ref{subsec:thm2}.

\section{The proofs}\label{sec:proofs}

For the proofs of Theorems~\ref{thm1} and \ref{thm2} we define another norm which we show to be equivalent to the Orlicz norm $\| \cdot \|_{\psi_{\alpha, \varphi}}$, namely
\begin{equation}\label{eq:phi norm}
\| f\|_{\varphi} := \sup_{p \ge 1} \frac{\|f\|_{L_p}}{\varphi(p)}
\end{equation}
with $\varphi:[0,\infty)\to (0,\infty)$. In the special case of exponential Orlicz norms $\| \cdot \|_{\psi_\alpha}$ such an equivalence is a classical result in asymptotic geometric analysis and may be found, without explicit constants, in the monographs \cite[Lemma 3.5.5]{AGM_book} and \cite[Lemma 2.4.2]{BGVV2014}. In the context of this paper it is important that these constants do not depend on the dimension $d$.

\begin{lemma}\label{lem1}
Let $d\in\mathbb{N}$ and $\alpha\in[1,\infty)$. For any measurable function $f: [0,1]^d \to \mathbb{R}$, we have the estimates
\begin{equation}\label{le:ne1}
\inf_{p \ge 1} \frac{\varphi(p)}{\max\{\varphi(\alpha), \varphi(p)\}}  \ \|f \|_{\varphi}  \le \| f\|_{\psi_{\alpha, \varphi}} \le 2^{1/\alpha}
\| f \|_{\varphi}.
\end{equation}
In particular, for any $\alpha \in[1,\infty)$, we have
\begin{equation}\label{le:ne2}
\left( \frac{\mathrm{e}^{11/12}}{ \sqrt{2 \pi}}  \right)^{1/\alpha}
\| f\|_\alpha \le \|f \|_{\psi_\alpha} \le (2\, \mathrm{e}\, \alpha )^{1/\alpha}
\,\|f \|_\alpha,
\end{equation}
where $\| f\|_\alpha:= \sup_{p \ge 1} p^{-1/\alpha} \|f\|_{L_p}$.
\end{lemma}

\begin{proof}
Using the series expansion of $\psi_{\alpha, \varphi}$, we obtain
\begin{align*}
\int_{[0,1]^d} \psi_{\alpha, \varphi} \left(\frac{|f(\boldsymbol{x})|}{K} \right) \,\mathrm{d} \boldsymbol{x} = & \sum_{p=1}^\infty  \left( \frac{\|f \|_{L_{\alpha p}}}{K  \varphi( \alpha p)  } \right)^{\alpha p}.
\end{align*}
By choosing
\begin{equation*}
K= 2^{1/\alpha} \sup_{p \ge \alpha} \frac{ \| f \|_{L_{p}}}{ \varphi(p) },
\end{equation*}
we obtain
\begin{equation*}
\int_{[0,1]^d} \psi_{\alpha, \varphi} \left(\frac{|f(\boldsymbol{x})|}{K} \right) \,\mathrm{d} \boldsymbol{x} \le  \sum_{p=1}^\infty 2^{-p}  = 1.
\end{equation*}
Therefore, we have
$$
\| f\|_{\psi_{\alpha, \varphi}} \le K= 2^{1/\alpha} \sup_{p \ge \alpha} \frac{ \| f \|_{L_{p}}}{ \varphi(p) }\,.
$$
This implies the upper bound in \eqref{le:ne1} for all $\alpha \ge 1$.

For the lower bound, we argue as follows. For any $K \in(0,\infty)$ such that $K\geq \| f\|_{\psi_{\alpha, \varphi}}$, we have
\begin{equation*}
1 \ge \int_{[0,1]^d} \psi_{\alpha, \varphi} \left( \frac{|f (\boldsymbol{x})|}{K} \right) \,\mathrm{d} \boldsymbol{x} =  \sum_{p=1}^\infty  \left( \frac{\|f \|_{L_{\alpha p}}}{K  \varphi( \alpha p)  } \right)^{\alpha p}  \ge \left( \sup_{p \ge 1} \frac{\| f\|_{L_{\alpha p}}}{K \varphi(\alpha p)}  \right)^{\alpha p}.
\end{equation*}
This implies that
\begin{equation*}
 K \ge \sup_{p \ge \alpha} \frac{\|f \|_{L_p}}{ \varphi(p)}
\end{equation*}
and since this holds for any such $K$, we obtain
\begin{equation*}
\| f\|_{\psi_{\alpha, \varphi}} \ge \sup_{p \ge \alpha} \frac{\|f \|_{L_p}}{ \varphi(p)}.
\end{equation*}

If $\alpha \in[1,\infty)$, and $q \in [1,\alpha]$, then
$$\sup_{p \ge \alpha} \frac{\|f \|_{L_p}}{ \varphi(p)} \ge  \frac{\|f \|_{L_\alpha}}{ \varphi(\alpha)} \ge  \frac{\|f \|_{L_q}}{ \varphi(q)} \inf_{q \in [1,\alpha]}\frac{\varphi(q)}{\varphi(\alpha)}. $$
Hence,
$$\sup_{p \ge \alpha} \frac{\|f \|_{L_p}}{ \varphi(p)} \ge  \min\left\{1,\inf_{q \in [1,\alpha]}\frac{\varphi(q)}{\varphi(\alpha)}\right\} \sup_{p \ge 1} \frac{\|f \|_{L_p}}{ \varphi(p)}.$$

In any case, for all $\alpha\in[1,\infty)$, we have that
$$
\sup_{p \ge \alpha} \frac{\|f \|_{L_p}}{ \varphi(p)} \ge  \min\left\{1,\inf_{q \ge 1}\frac{\varphi(q)}{\varphi(\alpha)}\right\}\, \|f\|_{\varphi} =  \inf_{q \ge 1} \frac{ \varphi(q)}{ \max\{ \varphi(\alpha), \varphi(q)\}}\ \|f\|_{\varphi} ,
$$
which implies the result since $\inf_{q \ge 1} \frac{ \varphi(q)}{ \max\{\varphi(\alpha), \varphi(q)\}} \le 1$.\\

The bound \eqref{le:ne2} for the $\psi_\alpha$-norms can be shown using similar arguments together with Stirling's formula
\begin{equation}\label{ineq_Stirling}
\sqrt{2 \pi p} (p/ \mathrm{e})^{p} \le p! \le \sqrt{2\pi p} (p/\mathrm{e})^p \mathrm{e}^{1/(12 p)}.
\end{equation}

We use the Taylor series expansion of the exponential function and obtain
\begin{eqnarray}\label{eq1}
\int_{[0,1]^d} \psi_{\alpha}\left(\frac{|f(\boldsymbol{x})|}{K}\right) \,{\rm d} \boldsymbol{x} & = &  \int_{[0,1]^d} \sum_{\ell=1}^{\infty} \frac{1}{\ell!} \left(\frac{|f(\boldsymbol{x})|}{K}\right)^{\alpha \ell} \,{\rm d} \boldsymbol{x}\nonumber\\
& = & \sum_{\ell=1}^{\infty} \frac{1}{\ell !} \left(\frac{\|f\|_{L_{\alpha \ell}}}{K}\right)^{\alpha \ell}.
\end{eqnarray}
Using Stirling's formula \eqref{ineq_Stirling} we get
\begin{eqnarray*}
\int_{[0,1]^d} \psi_{\alpha}\left(\frac{|f(\boldsymbol{x})|}{K}\right) \,{\rm d} \boldsymbol{x} \le \sum_{\ell=1}^{\infty} \frac{{\rm e}^{\ell}}{\ell^{\ell}} \left(\frac{\|f\|_{L_{\alpha \ell}}}{K}\right)^{\alpha \ell}= \sum_{\ell=1}^{\infty} \left(\frac{\|f\|_{L_{\alpha \ell}}\, ({\rm e} \alpha)^{1/\alpha} }{K (\ell \alpha)^{1/\alpha}}\right)^{\alpha \ell}.
\end{eqnarray*}
If we choose $$K=(2{\rm e} \alpha)^{1/\alpha} \,\sup_{\ell \ge 1} \frac{\|f\|_{L_{\alpha \ell}}}{(\ell \alpha)^{1/\alpha}},$$ then we obtain $$\int_{[0,1]^d} \psi_{\alpha}\left(\frac{|f(\boldsymbol{x})|}{K}\right) \,{\rm d} \boldsymbol{x} \le \sum_{\ell=1}^{\infty} \frac{1}{2^{\ell}}=1.$$ Hence $$\|f\|_{\psi_{\alpha}} \le K =  (2 {\rm e} \alpha)^{1/\alpha} \,\sup_{\ell \ge 1} \frac{\|f\|_{L_{\alpha \ell}}}{(\alpha \ell)^{1/\alpha}} =  (2 {\rm e} \alpha)^{1/\alpha} \,\sup_{p \ge \alpha} \frac{\|f\|_{L_p}}{p^{1/\alpha}} \le (2 {\rm e} \alpha)^{1/\alpha} \,\|f\|_{\alpha}.$$

On the other hand, from \eqref{eq1} and the upper bound in Stirling's formula \eqref{ineq_Stirling} we obtain
\begin{eqnarray*}
\int_{[0,1]^d} \psi_{\alpha}\left(\frac{|f(\boldsymbol{x})|}{K}\right) \,{\rm d} \boldsymbol{x} & \ge & \sum_{\ell=1}^{\infty} \frac{1}{\sqrt{2 \pi \ell} \, {\rm e}^{1/(12 \ell)}} \left(\frac{{\rm e}}{\ell}\right)^{\ell} \left(\frac{\|f\|_{L_{\alpha \ell}}}{K}\right)^{\alpha \ell}\\
& \ge & \sup_{\ell \ge 1} \frac{({\rm e} \alpha)^{\ell}}{\sqrt{2 \pi \ell} \, {\rm e}^{1/(12 \ell)}}  \frac{1}{K^{\alpha \ell}} \left(\frac{\|f\|_{L_{\alpha \ell}}}{(\alpha \ell)^{1/\alpha}}\right)^{\alpha \ell}.
\end{eqnarray*}
Now, in order to have $\int_{[0,1]^d} \psi_{\alpha}\left(\frac{|f(\boldsymbol{x})|}{K}\right) \,{\rm d} \boldsymbol{x} \le 1$ we find that $K$ has to satisfy $$K^{\alpha \ell} \ge  \frac{({\rm e} \alpha)^{\ell}}{\sqrt{2 \pi \ell} \, {\rm e}^{1/(12 \ell)}}  \left(\frac{\|f\|_{L_{\alpha \ell}}}{(\alpha \ell)^{1/\alpha}}\right)^{\alpha \ell}$$ for all $\ell\ge 1$. Hence $$K \ge  \frac{({\rm e} \alpha)^{1/\alpha}}{(\sqrt{2 \pi \ell} \, {\rm e}^{1/(12 \ell)})^{1/(\alpha \ell)}}  \frac{\|f\|_{L_{\alpha \ell}}}{(\alpha \ell)^{1/\alpha}} \ge  \left(\frac{{\rm e} \alpha}{\sqrt{2 \pi} \, {\rm e}^{1/12}}\right)^{1/\alpha}\,  \frac{\|f\|_{L_{\alpha \ell}}}{(\alpha \ell)^{1/\alpha}}  $$ for all $\ell\ge 1$. Hence, $$K \ge \left(\frac{{\rm e} \alpha}{\sqrt{2 \pi} \, {\rm e}^{1/12}}\right)^{1/\alpha}\, \sup_{\ell \ge 1} \frac{\|f\|_{L_{\alpha \ell}}}{(\alpha \ell)^{1/\alpha}} = \left(\frac{{\rm e} \alpha}{\sqrt{2 \pi} \, {\rm e}^{1/12}}\right)^{1/\alpha}\, \sup_{p \ge \alpha} \frac{\|f\|_{L_p}}{p^{1/\alpha}}.$$
For any $q \in [1,\alpha]$ we have $$ \sup_{p \ge \alpha} \frac{\|f\|_{L_p}}{p^{1/\alpha}}\ge \frac{\|f\|_{L_\alpha}}{\alpha^{1/\alpha}}\ge \frac{\|f\|_{L_q}}{q^{1/\alpha}} \frac{q^{1/\alpha}}{\alpha^{1/\alpha}} \ge \frac{1}{\alpha^{1/\alpha}} \frac{\|f\|_{L_q}}{q^{1/\alpha}}.$$ Hence
$$\sup_{p \ge \alpha} \frac{\|f\|_{L_p}}{p^{1/\alpha}} \ge \frac{1}{\alpha^{1/\alpha}}\, \sup_{p \ge 1} \frac{\|f\|_{L_p}}{p^{1/\alpha}}.$$

This implies $$\|f\|_{\psi_{\alpha}} \ge \left(\frac{{\rm e}^{11/12}}{\sqrt{2 \pi}}\right)^{1/\alpha}\, \|f\|_{\alpha}$$ as desired. This closes the proof.
\end{proof}

We are now prepared to present the proofs of our main results.

\subsection{The proof of Theorem~\ref{thm1}} \label{subsec:thm1}

An important consequence of Lemma~\ref{lem1} is that the constants do not depend on the dimension, and hence the Orlicz norm discrepancy satisfies the same tractability properties as the discrepancy with respect to the norm $\| \cdot \|_{\varphi}$. Therefore in the following proof we will only use the latter norm.

It is well known and easily checked (see, e.g., \cite[p.~54]{NW10}) that for every $p \in [1,\infty)$, the initial $L_p$-discrepancy in dimension $d$ satisfies
\begin{equation*}
\| \Delta_\emptyset \|_{L_p} = \frac{1}{(p+1)^{d/p}}.
\end{equation*}
If $p = \infty$, then the initial discrepancy is $1$ for every dimension $d \in \mathbb{N}$. This implies that
\begin{equation*}
\| \Delta_\emptyset \|_{\varphi} = \sup_{p \ge 1} \frac{1}{ \varphi(p)} \frac{1}{(p+1)^{d/p}} \ge \frac{1}{(d+1) \varphi(d)},
\end{equation*}
where we used the choice $p = d$ to obtain the last inequality.

From \cite{HNWW} we know that
\begin{equation}\label{HNWWbound}
\mathrm{disc}_{L_\infty}(N, d) \le C_{{\rm PT}}\, \sqrt{\frac{d}{N}},
\end{equation}
for some absolute constant $C_{{\rm PT}} \in(0,\infty)$. Aistleitner~\cite{Aist} showed that one can choose $C_{{\rm PT}} = 10$, but according to \cite{GH19} the constant $C_{{\rm PT}}$ may be reduced to $C_{{\rm PT}} = 2.5287$.

Hence, we have
\begin{equation*}
\mathrm{disc}_{\varphi}(N, d)  \le  \mathrm{disc}_{L_\infty}(N,d)\cdot \sup_{p \ge 1} \frac{1}{\varphi(p)} \le C_{{\rm PT}}\, \sup_{p \ge 1} \frac{1}{\varphi(p)}  \,\sqrt{\frac{d}{N}}\,,
\end{equation*}
where $\mathrm{disc}_{\varphi}(N, d)$ stands for the discrepancy with respect to the norm $\|\cdot\|_\varphi$ introduced in \eqref{eq:phi norm}. This implies that
\begin{align}\label{Nbound1}
N_{\varphi}(\varepsilon, d) \le & \min \left \{ N \in \mathbb{N}\,:\,  C_{{\rm PT}}\, \sup_{p \ge 1} \frac{1}{\varphi(p)}\, \sqrt{\frac{d}{N}}  \le  \frac{\varepsilon }{(d+1) \varphi(d)} \right\} \nonumber \\  \le &  \left \lceil C_{{\rm PT}}^2 \frac{d (d+1)^2 \varphi^2(d) }{\varepsilon^{2} } \sup_{p \ge 1} \frac{1}{ \varphi^2(p) } \right\rceil,
\end{align}
where for $x\in\mathbb{R}$, $\lceil x \rceil:=\min\{ n\in\mathbb Z\,:\, n\geq x\}$.
This concludes the proof of the second statement in Theorem~\ref{thm1}. As mentioned above, if we choose $\varphi(\alpha p) = (p!)^{1/(\alpha p)}$, then we obtain the $\psi_\alpha$-norm. Using Stirling's formula \eqref{ineq_Stirling} together with the previous result, we can deduce the first part of Theorem~\ref{thm1}.

In order to prove the third part of Theorem~\ref{thm1}, we apply the logarithm to $N_{\varphi}(\varepsilon, d)$. From \eqref{Nbound1} we obtain that
$$\log N_{\varphi}(\varepsilon, d) \le C' +2 \log \varepsilon^{-1} + 3 \log (d+1) + 2 \log \varphi(d)$$
for some $C'\in(0,\infty)$ only depending on $\varphi$.
Hence,
$$\limsup_{d+\varepsilon^{-1} \rightarrow \infty} \frac{\log N_{\varphi}(\varepsilon, d)}{d+\varepsilon^{-1}} \le 2 \limsup_{d+\varepsilon^{-1} \rightarrow \infty} \frac{\log \varphi(d)}{d+\varepsilon^{-1}}=0.$$ This implies weak tractability of the discrepancy with respect to $\| \cdot \|_{\psi_{\alpha, \varphi}}$. \hfill $\qed$

\subsection{The proof of Theorem~\ref{thm2}}\label{subsec:thm2}

First we show the corresponding result for $N_{\alpha}(\varepsilon,d)$ which is based on the norm $\|\cdot\|_{\alpha}$. Recall that for a measurable function $f: [0,1]^d \to \mathbb{R}$, we defined $\| f\|_\alpha= \sup_{p \ge 1} p^{-1/\alpha} \|f\|_{L_p}$. Let us start with a lower bound for the initial discrepancy. We have
\begin{eqnarray}\label{lbd:intitdiscalpha}
\| \Delta_\emptyset \|_{\alpha} & = & \sup_{p \ge 1} \frac{1}{ p^{1/\alpha}} \frac{1}{(p+1)^{d/p}}\nonumber\\ & \ge & \frac{1}{(d\log (d+1))^{1/\alpha}} \frac{1}{(1+d \log (d+1))^{1/\log (d+1)}}\nonumber\\
& \ge & \frac{1}{4 (d\log (d+1))^{1/\alpha}},
\end{eqnarray}
where we have chosen $p=d \log (d+1)$. The final estimate follows from the fact that $$d \mapsto \frac{1}{(1+d \log (d+1))^{1/\log (d+1)}}$$ attains its minimum in $d=20$ with minimal value $0.257944\ldots$.

Now let $d \in \mathbb{N}$. Then from Gnewuch~\cite[Theorem~3]{gne05} we obtain that
$$
 \mathbb{E} \, \|\Delta_{\mathcal{P}}\|_{L_d} \le 2^{5/4} 3^{-3/4} \, N^{-1/2}
$$
and from Aistleitner and Hofer \cite[Corollary~1]{aisthof} that for any $q \in (0,1)$
$$
 \mathbb{P} \left[\|\Delta_{\mathcal{P}}\|_{L_\infty} \le 5.7\sqrt{4.9+\log((1-q)^{-1})} d^{1/2} N^{-1/2}\right] \ge q,
$$
where the expectation and probability are with respect to the point set $\mathcal{P}$ consisting of independent and uniformly distributed points. Now Markov's inequality implies that there exists an $N$-element point set $\mathcal{P}$ in $[0,1)^d$ such that
$$
 \|\Delta_{\mathcal{P}}\|_{L_d} \le a \,  N^{-1/2} \qquad \text{and}\qquad
 \|\Delta_{\mathcal{P}}\|_{L_\infty} \le a \, d^{1/2} N^{-1/2}
$$
provided that
$$
 1> \frac{2^{5/4}}{3^{3/4} a}+\exp\left(4.9-\left(\frac{a}{5.7}\right)^2\right).
$$
For this point set $\mathcal{P}$, we obtain
\begin{eqnarray}\label{estalphadisc}
\|\Delta_{\mathcal{P}}\|_{\alpha}  & = & \sup_{p \ge 1} p^{-1/\alpha} \|\Delta_{\mathcal{P}}\|_{L_p}\nonumber\\
& = & \max\left\{\sup_{p \le d} p^{-1/\alpha} \|\Delta_{\mathcal{P}}\|_{L_p},\sup_{p \ge d} p^{-1/\alpha} \|\Delta_{\mathcal{P}}\|_{L_p}\right\}\nonumber\\
& \le & a\, N^{-1/2} \, \max\left\{\sup_{p \le d} p^{-1/\alpha} ,\sup_{p \ge d} p^{-1/\alpha} d^{1/2}\right\}\nonumber\\
& = & a \, N^{-1/2}\, \max\big\{1,d^{1/2-1/\alpha}\big\}.
\end{eqnarray}
Combining \eqref{lbd:intitdiscalpha} and \eqref{estalphadisc}, we obtain the upper bound
\begin{eqnarray*}\label{bdNst}
 N_{\alpha}(\varepsilon,d) & \le &  \min\left\{N \in \mathbb{N} \,: \, \frac{a}{N^{1/2}} \max\big\{1,d^{1/2-1/\alpha}\big\} \le \varepsilon \, \frac{1}{4 (d\log (d+1))^{1/\alpha}}\right\}\nonumber\\
 & = & \left\lceil 16 \cdot a^2\, d^{2/\alpha}\, \max\big\{1,d^{1-2/\alpha}\big\}\, \big(\log(d+1)\big)^{2/\alpha} \varepsilon^{-2}\right\rceil\\
 & = & \left\lceil 16 \cdot a^2\, d^{\max\{1,2/\alpha\}}\,  \big(\log(d+1)\big)^{2/\alpha} \varepsilon^{-2}\right\rceil
\end{eqnarray*}
for all $\alpha\in[1,\infty)$.
Note that we may choose $a=12.75$ leading to $16 a^2 =2601$.

Using the second part of Lemma~\ref{lem1}, we obtain
$$N_{\psi_{\alpha}}(\varepsilon,d) \le N_{\alpha}(\varepsilon',d)$$
with $$\varepsilon' = \varepsilon\, \left(\frac{{\rm e}^{11/12}}{\sqrt{2 \pi}}\right)^{1/\alpha}\alpha^{-1/\alpha}\,.
$$ From this we finally obtain the upper bound for $N_{\psi_{\alpha}}(\varepsilon,d)$. \hfill $\qed$

\bibliographystyle{plain}

redpajama_set_name: RedPajamaArXiv


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Darth Vader's 'Rogue One' Castle Helps Him Harness Sith Energy
'The Art of Rogue One'/StarWars.com
Caitlin Busch
Darth Vader's castle on Mustafar isn't just in a significant location because that's where he killed his wife, Padmé Amidala (and, uh, lost all his limbs). Doug Chiang, Lucasfilm concept artist and Rogue One co-production designer, revealed in a recent interview that Vader's castle actually sits on the "foundation of an ancient structure." Part of that contains a cave with a lake of lava where Vader goes to meditate with the help of his "tuning fork" castle.
In an interview with StarWars.com regarding the design behind Rogue One, Chiang said that creating Vader's castle was partly inspired by concept art from original Star Wars trilogy concept artist Ralph McQuarrie, "where Luke actually visits Vader in this underground lava cave. I always thought that was such a compelling image, because you have this lava lake inside this cave and there was Vader's throne." Building upon that, the team decided that the lava dam for the castle was going to be a much older structure than the tower, which Vader would have been responsible for. The original building harnessed power from the lava — maybe acting as an energy source of some sort, but the "tuning fork" tower was all Vader.
"One of the things we landed on early was this idea of a tuning fork, a twin tower kind of look. And it was really interesting, because then that started to give Gareth a lot of ideas like, 'Well, maybe the structure is built this way because it is like a tuning fork. It's tuning the dark side in terms of the energy.' And then, we actually carried that even further to Jedha. The Jedha temple, the tower there, mirrors this, but on the good side. So when you see the film, you can start to see, 'Okay, Jedha had its own tower, which was configured like a tuning tower. Vader's tower, Vader's castle, had the same thing, but it was made in black, whereas Jedha was white.'"
Concept art by Ralph McQuarrie for Darth Vader's castle in the original 'Star Wars' trilogy. Wookiepedia
Darth's attempts to harness the Dark Side even more might explain why he's in full ass kicking mode at the end of Rogue One when he takes on the Rebels and wins by a longshot and a lightsaber. And this confirmation of the castle's innate powers might further confirm the fan theory that Vader's castle might be the one thing that ties Rogue One to Episode VIII. If Kylo Ren knows that his grandfather's castle will help him grow closer to the Dark Side, then that's all the more reason to go there.
The world will have to wait for answers, though, until Episode VIII arrives in theaters December 15, 2017.


text:
FL Gov. wants more vetting for foreign trainees
Florida Gov. Ron DeSantis called for heightened vetting of foreign nationals bound for training on US bases. The FBI confirms it is operating on the assumption that Friday's attack in Pensacola by a Saudi flight student was an act of terrorism.
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Harvey Weinstein said he was confident about getting a fair trial as he made his way into the courtroom Wednesday. When asked why, he said: "I have good lawyers." Weinstein is charged with raping one woman and sexually assaulting another.
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text:
Malliotakis Slams De Blasio Over Refusal To Protect Columbus Statue
Filed Under:Bill de Blasio, Columbus Circle, Marcia Kramer, Nicole Malliotakis
NEW YORK (CBSNewYork) — The Columbus statue controversy remains a sticking point in the New York City mayoral race.
With the primaries over, Mayor Bill de Blasio and Nicole Malliotakis are taking the gloves off.
De Blasio had smiles for campaign workers, and brickbats for Republican opponent Nicole Malliotakis, on the day after primaries.
"Assembly member Malliotakis is a pro-Trump Republican," de Blasio said.
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"This is a mayor who ran on a platform to lift people out of poverty and to end the tale of two cities. The tale of two cities with it being the mayor's donors, and friends versus the rest of us," she said.
The he said she said will be the order of the day until the November election, Malliotakis started by slamming the mayor for his refusal to support keeping the Christopher Columbus statue in Columbus Circle.
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The demand that he support Columbus was crystallized with the desecration of the Columbus statue on Central Park Tuesday — it was covered in graffiti, its hands painted blood red.
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Malliotakis was happy to roll out specifics.
"You're going to temporarily put more surveillance in the area, and have police walk it," she said.
The big question for Bill de Blasio is whether he takes a position on Christopher before the Columbus Day Parade.


text:
Q: React-Native using multiple modules to build the App I'm a beginner with react native. But not with JavaScript.
In my app.js I would like to do something like that :
export default class App extends Component {
    constructor(props){
        super(props);
        //init a lot of modules
        this.all_modules = [];
        var MenuGame = require ('/modules/mod_menu/mod_menu.js');
        this.all_modules.push(new MenuGame());
    }
    render(){
        //render all modules
        var views = [];
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    }
}

In my mod_menu.js I have :
Class MenuGame extends React.component{
    render(){
        return(<Text>foo</Text>);
    }
}

When I run this code I get the following error Element type is invalid : expected a string or a class/function but got undefined check the render method of 'App'
The aim is to have a kind of controller App.js who is responsible for the life cycle of the app. App.js just need to init all modules and call render on them. Each module will build the App.
Can you help me ?
EDIT : source code : https://jsfiddle.net/n7habkt3/

A: Edited:
Notice the following in mod_menu_game.js and mod_menu_game.view.js:
var {
  Text
} = React;

This is the cause of your issue. <Text> component should be imported from react-native, not react.
To fix it, replace it (both files) with the following:
import { Text } from 'react-native';

P.S: In mod_menu_game.js, you are returning two components (line 53 and 54) in render(). My suggestion would be wrapping them in a <View> before returning them. Again, please make sure it is imported from react-native.


Dial 311 to get connected to any County office, make most service requests, or get general information.
For a listing of specific offices and contacts, visit this page.
Police non-emergency: Call 301-279-8000 to report a non-urgent event like car break-ins, thefts or vandalism.
Carderock Springs Swim & Tennis Club Our beautiful clubhouse, pool, and tennis courts aren't part of the Citizens Association. Get information on rentals, activities, swim team, tennis activities and services, and more.


text:
All you need to know about ATSC 3.0
A new report from EBU Technology & Innovation, BPN 108, outlines the major features of ATSC 3.0, the next generation terrestrial broadcasting system developed in the USA.
Built-in IP backbone
Two decades after the FCC adopted the first Advanced Television Systems Committee (ATSC) system in the USA, their next generation broadcasting system is emerging as ATSC 3.0. It is the first broadcast system with a built-in IP backbone. ATSC 3.0 merges over the air signals with broadband platforms so broadcast content is available in a variety of receivers from large TV sets to tablets and smartphones.
The system is much more robust than its forerunner, which makes it more adapted to reception indoors and on mobile devices. And with the fast arrival of higher resolution pictures with higher sound quality, it also offers a large choice of modulation schemes to be able to deliver, in a 6 MHz channel, the larger data capacities that UHDTV requires.
Other extensions to the current standard are interactivity, personalization and the facilitation of new business models such as t-commerce, localized and personalized adverts, etc. All this makes ATSC 3.0 a more flexible broadcast system capable of addressing new and challenging scenarios.
Standards & Recommended Practices
ATSC members have just ratified the Link Layer Protocol and Audio and Video Watermark Emission standards to be part of the ATSC 3.0 suite of 20 standards and recommended practices. The three new standards join two others (the Physical Layer and System Discovery and Signalling standards) already approved by ATSC members.
The FCC is expected to soon start preparing the legal framework for broadcasters to introduce ATSC 3.0 in the USA. South Korea has also recently adopted ATSC 3.0 and plans to start implementation early in 2017. It is expected that the first consumer receivers will become available by the end of 2016 or early 2017. The primary focus is on producing receivers for UHD services, as this is the first target for the Korean broadcasters.
To learn more about the new ATSC 3.0 system, download BPN 108 'The Major Features of ATSC 3.0'.
The future of terrestrial broadcast systems, including many issues considered in the ATSC 3.0 specifications, will be covered at FORECAST 2016 on 23-24 November at the EBU in Geneva. Register now!
Elena Puigrefagut
puigrefagut@ebu.ch
New EBU Recommendations address cybersecurity vulnerabilities
R 160 and R 161 help media companies and vendors to identify and address security vulnerabilities in media products and services.
VRT joins the PEACH team
The Belgian broadcaster has joined its peers from Switzerland, Germany and Sweden to continue the co-development of this personalization and recommendation...
NTS 2019 paints a mostly positive picture on IP production
While many speakers reported on difficulties they have been facing in switching from traditional SDI-based equipment, all were positive about the new workflows...
New simplified workplan approved at Technical Assembly 2019
The new workplan of the EBU Technical Committee sets out the priorities and goals for the coming two years, with a streamlined structure focused on five...


FMC - CENTRAL OHIO is a For Profit, Medicare Certified dialysis facility with 24 dialysis stations, located in COLUMBUS, OH. It has been given a 3 Star rating based on patient care reports submitted to Medicare. A higher rating usually indicates better patient care.
Updated: 08/16/2018 — See below for more information on FMC - CENTRAL OHIO, including patient care and patient experiences.


Family Builders exists to stop abuse. Our mission is to strengthen relationships and break the cycles of child abuse and family violence.
But we don't do it alone! A lot of people and organizations are involved in helping us fulfill our mission, and we'd like to take this opportunity to thank all of you who help.
The Oklahoma Department of Human Services Child Welfare Division plays a huge role in our organization. We partner with DHS to provide services for families whose children may be at risk of abuse or who have substantiated cases of abuse. We are often one piece of a larger treatment plan for families, and we provide just some of the tools they can use for restoration.
We partner with many other non-profit organizations, the courts, and government offices to protect children and to help their parents provide safe, loving, nurturing homes.
The public is involved as well. We have a whole portion of our organization dedicated to community education programs. These programs teach people about this issues of child abuse and family violence and what each of us can do to prevent that abuse or stop it if abuse has already occurred. In addition, members of the community frequently come tour our facilities, learn more about our mission, and share what they've learned with others.
We also have amazing staff people, including our group facilitators who work directly with the families on an ongoing basis. The facilitators really get to know the clients and help them over the course of the classes and programs.
Naturally, those facilitators wouldn't be able to do their job without parents who are willing to make a change. Many of the parents we work with grew up in abusive homes and are just living out the examples they've seen. It takes a lot of work to change, and we greatly appreciate their willingness.
We have a great board of directors who keeps our organization focused on what really matters and holds me accountable as the executive director.
Last, but certainly not least, we have some incredible donors and volunteers who support Family Builders with their time, talent, and treasure.
Thank you to all the individuals and organizations I've mentioned, and of course many others I haven't. We appreciate all you do in helping Family Builders strengthen families in Oklahoma.


An updated version of our favorite Nomadic Trunk, now offered in a 4-way stretch with improved pocket functionality and Quick Dry for minimal water absorption.
Designed for performance, with a nod to classic surf shorts.
Built from recycled polyester and spandex, an innovative and flexible material that feels damn good in the water.
The 4-way stretch fabric is made with recycled polyester, about 10 plastic bottles worth. Let's keep our plastic on land and out of the ocean.


text:
Henrik Olof Vinge, född 10 augusti 1988 i Järfälla, Stockholms län, är en svensk jurist och politiker (sverigedemokrat). Han är ordinarie riksdagsledamot sedan 2018, invald för Stockholms kommuns valkrets. Han är Sverigedemokraternas gruppledare i riksdagen sedan 25 november 2019.

Vinge är utbildad jurist och avlade juristexamen vid Stockholms universitet 2017. Under studietiden arbetade han även ideellt som juridisk rådgivare för nättjänsten Lawline. Han har även arbetat som kriminalvårdare på Kriminalvården och som assistent på Academic Work. Efter juristexamen 2014 startade han firman Näthatjuristerna, som var specialiserad på brottsliga kränkningar på internet.

Han blev presschef för Sverigedemokraterna i mars 2015. Han utsågs till integrationspolitisk talesperson för Sverigedemokraterna i augusti 2018.

Han är sedan 2017 gift med stockholmspolitikern Linnéa Vinge, tidigare Cortés.

Referenser

Externa länkar

Ledamöter av Sveriges riksdag för Sverigedemokraterna
Svenska politiker under 2000-talet
Svenska jurister
Alumner från Stockholms universitet
Personer från Järfälla
Födda 1988
Levande personer
Män


When kids get home from school, sometimes all they can think about is candy, cake and cookies. There are so many fun and healthier options for after school snacks. You can make cooking easy and fun! Here are some ideas that will be fun for children to make, and eat!
Step 3 – Have them place as many or as little raisins on the spread.
Step 4 – Read a fun story about food like We Eat Food That's Fresh by Angela Rush-Ayon or Super Sprouts by Laura Concannon.
Step 1 – Mound some salsa and cheese onto each tortilla.
Step 2 – Cook on foil-lined tray in toaster oven until cheese has melted or is brown at the edges.
Step 3 – Add a layer of refried beans under the salsa or cilantro for garnish.
Step 1 – Spread the peanut butter on the rice cake.
Step 2 – Sprinkle the sunflower or sesame seeds on top of the peanut butter.
Step 3 – Place the carrot slices around the edge of the rice cake like petals on a flower.
Step 4 – Use the celery stalk as the flower stem and the orange slices as the leaves.
Step 4 – Roll the stuffed wrap into a tight roll.
Step 5 – Cut the roll into 8-10 pieces (each piece should be about 2 inches wide).
Step 6 – You can even try using chopsticks to practice eating your "sushi"!
Try these easy recipes for yourself or create your own! Kids can be creative, so don't be afraid to let them think of their own ways to cook and eat!


text:
Netizens amused to see Malaysian firefighter patiently persuading a sulking dog on building ledge
in Animals, Malaysia
MALAYSIA — It is well known that a firefighter's job is never an easy one, taking part in operations dealing with dangerous fire scenes or search and rescue operations under challenging conditions.
At times, they may even have to patiently persuade a sulking dog to return to a safer place inside the building.
On 12 January, Malaysia's Fire & Rescue Department shared an amusing yet heartwarming video on its official Facebook page.
In the video, a firefighter can be seen sitting on the concrete terrace with no railing, gently coaxing a furkid with treats in his hand.
He was attached to a safety harness in which his colleague inside the building held the other end of the safety rope to ensure his safety.
However, the dog did not appear to be in a good mood, refusing to take the treats offered by the firefighter and squeezing its face even further to the corner of the wall.
"This is not easy to please (the dog), our firefighter brother even needs to persuade with sweet words," the post wrote.
Many netizens were amused by the video, with some praising the firefighter for patiently persuading the furkid to return inside the building, preventing the dog from falling from height.
Netizen Fazly Mohamad commented perhaps the dog was sulking because he was denied service in the K9 unit:
Lim Kang Jie also commented that the task looked very challenging, "just like coaxing a sulking girlfriend."
Trapped on 10th floor of an apartment, the dog safely rescued by firefighter
When interviewed by Malay media Harian Metro, the firefighter Leo Sana Anak Sandi said he had never expected the video of him saving a dog could go viral on social media.
The incident was reported to have taken place around 3 pm on Wednesday (11 Jan) in Balik Pulau, Penang.
Leo said he and his fellow colleagues were dispatched to an apartment on that day after receiving an emergency call from the public.
They found a stray dog trapped on the concrete ledge outside of the 10th floor of the apartment since morning.
"At first, the dog acted aggressively, perhaps out of fear. I had to approach him slowly."
"Since it had been there for a long time, I then asked for some food from the residents to give to the dog, " he told Harian Metro.
The food did help to calm the dog down, but it turned its face toward the wall instead, as if the dog was sulking.
Leo admitted that while the doggo's behaviour amused him, he had to continue his rescue mission. He was also worried that it might turn aggressive again.
"With another colleague, we covered the dog's eyes with a sack and cloth before lifting it to the safer place."
Leo said that the stray furkid roams in a nearby area. He has no idea how it went up to the 10th floor of the building and to where it was found.
Saadon Mokhtar, director of The Penang Fire and Rescue Department, said the firefighter managed to catch the dog and released it after it was safe.