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Q: Extremely basic topology question - check my answer I am starting a topology course this monday (or rather, advanced calculus but the first topic we deal with is topology) and I've never did questions like this before. I'd just like someone to verify that I have the right idea of what's going on, and also I have a few questions.
Question
Let $A=\{(x,y) \in \mathbb R^2 | x^2 \leq y\}$
Find the interior of $A$, the closure of $A$, and the boundary of $A$.
Is $A$ an open set? Is it a closed set?
My answers
$A$ is not an open set. For example, $(1,1) \in A$ but if we look at a circle with $(1,1)$ in the center, and with radius $\epsilon$ as small as we wish, not all the elements in that circle will belong to $A$. For example, $(1+\epsilon,1) \notin A$. So $A$ is not an open set. (QUESTION 1 can we automatically infer that if $A$ is not an open set, it is a closed set?)
$A$ is a closed set, because $\bar A = \{(x,y)\in \mathbb R^2 | x^2 >y\}$ is an open set. for every $(a,b)\in \bar A$ we can find an $\epsilon$ such that all the elements in the circle originating from $(a,b)$ with a radius of $\epsilon$ are in $\bar A$.
The boundary of $A$ is $\{(x,y) \in \mathbb R^2 | x^2=y\}$
The interior of $A$ is $A$/boundary of $A$ = $\{(x,y) \in \mathbb R^2|x^2<y\}$
The closure of $A$ is $A$ (QUESTION 2 if $A$ is a closed set, is $A$ = the closure of $A$? This sits well logically but remains to be proven).

A: Your answers are correct. For "not open" it would have been easier to use the point $(0,0)$, since for any $\epsilon\gt 0$ it is clear that the point $(0,-\epsilon/2)$ is in the open disk with centre $(0,0)$ and radius $\epsilon$, and is not in $A$.
For the boundary, an argument should have been given. Part of it is close to what you wrote about $(1+\epsilon,\epsilon)$. You also need to show that nothing else is on the boundary.
From not open we cannot infer closed. Example: In $\mathbb{R}$, the interval $[0,1)$ is neither open nor closed.
And it is closure, not enclosure. Yes, if $A$ is closed then the closure of $A$ is $A$.

redpajama_set_name: RedPajamaStackExchange


Marty received his first Division I offer on Jan. 21, 2016 when Miami extended him a chance to play in Oxford. Just over two months later, he decided to pull the trigger and committed to the RedHawks. However, less than a month after his Miami commitment, he received an offer from Northwestern. The opportunity to play in the Big Ten, a life-long dream for the QB, was too much to pass up - and he committed to the Wildcats. The 6-foot-4, 215-pound Cowboy is the prototype of a pro-style quarterback. He put together a Mr. Football-caliber senior season, throwing for 3,202 yards and 43 touchdowns and rushing for 262 yards and seven scores. He was named the Cincinnati Hills League's Co-Offensive Player of the Year, the Division IV District Player of the Year, first-team all-state and the Enquirer's Div. IV Offensive Player of the Year. In addition to Miami and Northwestern, he also holds offers from schools like Eastern Michigan, Toledo and Western Michigan.


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A separate thread for every candidate in the European elections? Even no-hopers like Casey?
Shinners assemble. He beat the SF candidate in the Prez election. What was his percentage vote again?
He was tweeting recently that he has attended 94 out of 95 meetings of a particular committee which he is involved with over there.
Yes, that's the Agriculture Committee. He's clearly trying to keep the farmers on his side, despite his fairly abysmal participation record overall.
I am sure Peter is planning to say something controversial to get the masses riled up. I'll put a bet on now that it will relate to immigration.
Can you back up that claim. Not quite sure you've done your research.
I can because he's not in europe half the time only out jogging around Castlerea.In fact i passed through Castlerea this morning around 10.30 and seen him jogging into town.Is he not supposed to be working this is only Thursday by the way.
What are the main things Ming has achieved as an MEP?
His voting rate of just 16 percent in European Parliament plenary sessions is abysmal. The average across MEPs is about 75 percent.
Hard to vote on anything when he spends most of his time jogging around Castlerea.
This is a real election this time, not the handy fixed setup of the presidential one.
He'll get into a bit more bother this time, he was lucky before.
Well, a little bit more real. Still a bit of a personality contest but a lot of real politicians in each race.
Having made his millions and millions as one, i am sure he will be an understanding expert on the subject.
And i admire anyone that made millions through hard work.
Just fact checked that for you because it didn't sound right. He has a voting attendance record of 95.44%, the second highest among Irish MEPs.
You pulled that 16% figure from a 2014 report, when apparently, his wife was ill in his first few months in Europe.
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There are so many different things out there that are designed to help you lose weight. WE know how hard it can be to really hone in on one that you think will work for you. So, we're here to hopefully help you do just that. While we are here to talk about Trim Pill Keto Diet, we do want to let you know that we have a different all-time favorite. Just click on the link below this paragraph to see what it is. But, not back to our Trim Pill Keto Review.
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We think that Trim Pill is trying to mimic the keto diet. We'll tell you more about that later, but we're fairly certain that that is their main goal.
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If you're totally set on getting Trim Pill Keto Diet, you'll have to go to the Trim Pill Official Website to get yourself a bottle. While we don't think that this is a bad product, it just doesn't outweigh our favorite. We would really suggest that you go look at our favorite before you completely make up your mind. We hope that you've found this Trim Pill Keto Review helpful! Click on the links on this page to see that one we're sticking with.


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Another day, another game. My gaming journey through 2016 continues and I have another title in front of me to trial. Rivals of Aether is an ID@xbox game available through the Xbox Preview Program. Dan Fornace is the mind behind this classic styled beat-em up.
First impressions are good as it's loaded up, which took about a second as the whole game is only about 180mb. I'm a sucker for retro graphics and as the pixelated start screen pings up its a plus point straight away, and although I hadn't heard of the game until today it has the word 'fighting' in its description, as I have a penchant for anything 'shooty' or 'fighty' it's another plus point. This is a side view brawler and the first and most obvious comparison is Super Smash Bros. Not just in the style of the game but in the emotions it elicits as you play. It harks back to the games of the 90's in look, feel and sound. The music is spot on, being a great blend of catchy cheese that makes for an exciting soundtrack to your button bashing combo's but without being too distracting or intruding. From the get go I have been pulled in by the game, 'its general vibe' for lack of a better description is great and all the little bits add up to create a solid all round package. It's a little limited in some places (Preview Program situation accepted) but I think this may at least achieve cult status if not picked up by a bigger audience.
Each fight takes place in an arena (in the currently available game modes, more on that later) and they too pay some homage to classic games. They are beautifully designed and many have interactive points that can act as an aid or a hindrance in the heat of battle, like a water jet to knock back your foe or a rising tide of fire to avoid. They all have a few staggered levels to bounce around on without sides, and you try to knock your opponent out of screen shot. Instead of health bars you have damage percentage which starts at 0% and goes up, the higher you get the damage, the further they get knocked with a blow and easier they are to get off the edge of the arena. The game is easy to pick up and play and it's simplicity adds to its charm. I could easily see myself sitting down with some friends and battling it out for a few hours. It's tense, fast paced stuff and each round is gripping. It has four player local multiplayer with a team match option in the verses mode, and you can also set it to tournament mode to create your own mini tournies for you and your friends to play.
As I like to do, I'm going to make another comparison, or rathe, two smashed together: this is Pokemon meets Street Fighter (circa 1999). It's almost a Pokemon after dark. I imagine this is where Charizard might come to fight if he needs some quick cash, or Hitmonchans addiction got the better of him and he was forced out of the regular Poke league and started fighting on the underground circuit. Sorry, I've got distracted by the thought of a 18+ Pokemon show with scandal, drugs and an underground fight club. I'd watch that. Returning to Rivals and how we got to the dark depths of illegal Pokemon fights, the characters are crazy. All based around animals and elements each with a unique power. The base for their special move is one of the four classic elements: fire, air, water and Earth. They have a small number of other moves as well, simple attacks that combo in sets of three. I have two that I really like and serve as example of the crazy nature of them. Zetterburn is a Lion . . No, a Bear? A Lionbear. With a flaming mane and tail who chucks fireballs and burns things. Then there's Kragg, a sort of armadillo/turtle who can hurl rocks pulled from the ground and summon pillars of rock up from below. They make up two of the characters from the warring civilisations in the game-world. The fighting system keeps in line with the rest of the game and is simple, a short set of tutorials is available including a character specific level to learn each of the unique moves available. I love the characters, each one is designed well with great animation and they are pretty badass.
So, in a quick re-cap: cool retro graphics, awesome retro soundtrack, great character design and animation. It's important to remember that this game is available through the Preview Program and as such is still a work in progress, so bare that in mind. Now, I've said a few times that the simplistic nature of the game is a plus and adds charm, which it does, however, despite there being a few moves to learn the fighting is limited. There are no big combo patterns to use and between standard attacks and special moves there are barely ten distinct attacks for each character. Any big fan of this genre who plays the likes of Tekken or Dead or Alive, or any of the other bigger fighting games of the last few years, may find the fighting a touch lacklustre. If you favour the classic arcade games of yesteryear or play Super Smash Bros. then this will be up your street. Also, despite loving the available characters, there are only eight, which in my opinion is a bit low. It could do with getting into the teens for longer playability.
I was unable to play story mode, abyss mode or do the advanced training which I will chalk up to it being in preview and they are still under development, the story mode is tipped to be like street fighter as a side-scroller which for me would add a lot to the game. The online section of the game took some time to find a match (again, a new release preview game and numbers will probably grow) however, after a few minutes of searching I found an exhibition match. I promptly had my ass handed to me three times in a row which means either I'm terrible or the level of player ability online is quite high. Personally I prefer the second option. The game had no problems connecting and so far I've found no bugs or suffered any crashes, which are issues you half expect in a preview game.
In conclusion, I have enjoyed Rivals of Aether and I'm sure any fan of classic fighting games will too, but it is a touch limited in its offerings at present. It is still being worked on and the coming options are sure to add to this already very fun little game. As with a lot of indie titles I don't see this dominating most console's for months at a time, maybe some long sessions into the night. However, it will be a great party game or filler between your big titles and favourites, and there will be some out there, perhaps converts to Xbox who miss the party games of a certain Japanese hardware producer, who may find the game they have been looking for.
Thanks to Xbox and Dan Fornace for supporting TiX

redpajama_set_name: RedPajamaCommonCrawl


BRN GRL SPK is back with another open mic! This night's theme is SAY MY NAME - a call to reclaim our identities and experiences and use them to create our own narratives. What does it mean to claim a name? To demand your story be acknowledged?
Come out and show off your skills - music, song, poetry, dance - we want to see it all! Slots fill up fast, so come early!
Proceeds will benefit Girls for Gender Equity, an organization committed to creating a world in which all cis and trans young women of color and gender non-conforming youth of color are safe, valued, and heard.
What if I can't attend but still want to support?
You can select the "Donation" option under tickets below and enter in the amount you'd like to give. Or you can donate directly to Girls for Gender Equity on their website.
What time should I arrive if I'd like to perform?
Performances will be on a first-come basis and slots fill up quickly, so we recommend arriving early.
How much time will I have to perform?
All performers will have 5 minutes at the mic.
A mic and sound system will be provided. Please bring anything else you need for your performance. Bring music on USB or a phone.
No, an electronic version is fine.
Yes, you can pay at the door. It is a suggested donation of $10.
Unfortunately, there are no refunds. This is a fundraising event and proceeds will go to Girls for Gender Equity.
For any questions or concerns, please email brngrlspk@gmail.com.


Richard Francés is an experimental music composer, performer and the head of the cassette label Hylé Tapes.
Having amassed a formidable body of work as Acid Fountain and in experimental band JUJU and Pointe Du Lac, he recently released his first album 01112012 under his given name on the Seattle label Jungle Gym Records.
His debut album recalls the early synth environments of pioneers like Tangerine Dream and Terry Riley, with modern interpretations of sci-fi, deep thought meditation and extraterrestrial exploration.
Richard Frances has also collaborated with the French art/dance collective (LA)HORDE, Owlle, visual artists Konpyuta, or the experimental musician Théodore Lüne.
Founder of the nanoloop-only label OBOLE and member of the duo CYMBA, Contra Legem will be debuting his live solo project around on the synchronisation of 6 gameboys.
Nanoloop is a a four channels step sequencer and synthesizer cartridge made for the console and created by Oliver Wittchow in the mid 90s (and still updated to this day).


text:
Petterik Wiggers/Panos Picturees
Gambella Region, Ethiopia
Jacques Rogge during a visit to the South Sudanese refugee camps in Gambella Region, Ethiopia. He was the Special Envoy of the Secretary General for Refuge Youth and Sport after he retired as the president of the International Olympic Committee. Rogge, who was an Olympic sailor and orthopedic surgeon who led the International Olympic Committee as president for 12 years, died on 29 August 2021. He was 79.
PWI01282ETH
Gambella Region
Not available in the Netherlands


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Q: How to set LocalNotification repeat each two minutes? I'm using LocalNotication to set schedule Alarm. atribute repeatInterval allow me to set repeat each minute, each hour.. But I want to set repeat each two minutes? How can i do?

A: You can schedule 30 alarms. One for each 2nd minute for a whole hour, and set repeatInterval to each hour fo each of the 30 notifications.

A: try looking at this blog posting
http://useyourloaf.com/blog/2010/9/13/repeating-an-ios-local-notification.html

A: I've filed a bug report/enhancement at http://bugreport.apple.com/
You may take a look at my report archived at Open Radar: http://openradar.appspot.com/radar?id=759402
According to Marco, developer of Instapaper, Apple prioritizes enhancement and feature requests partly based on how many developers are requesting them.
If this feature is important to you I urge you to file a report as well.