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I looked up the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this definition of e and it’s equal to the limit of (1+1/n)n as n->inf which looks very similar to the probability formula I came up with. Now my question: why did I seemingly discover e during a probability exercise? I thought that e was in the realm of growth, not probability. Can anyone explain what it’s doing here and how it logically makes sense?I’m not sure exactly what you are looking for, but e is in the realm of probability, in exactly the way you just found. Numbers do not have to limit themselves, saying e belongs in exponential growth only would be like saying 2 belongs only in basic addition and cannot show up in other contexts. Also, as I said in another comment, this is the realm of exponential growth (specifically exponential decay – negative growth). The chance of the event occurring in any given “moment” is a constant, and so the chance of survival is decreasing proportional to its own size (because the chance of survival to a point is independent of the event occurring at that point). Since the probability changes at a rate proportional to its own size, you get an exponential function. If you have a random even that can occur at any moment with an average rate of once per time length tau, than the chance it hasn’t happened after t time is e-t/tau.
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This is actually an example of something that shows up in physics all the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this time, and there’s a very intuitive reason that e shows up here. Imagine an atom which has an excited electron, and there’s a 1/100 chance that the electron will decay and emit a photon per second. That means the probability P that the electron has not decayed after t seconds is given by P=e-1/100 *t, aka it decays exponentially at a rate of 1/100. Therefore the probability after 100 seconds that the electron still hasn’t decayed is P=e-100/100=1/e. And thus the probability that it has decayed is 1 minus this, which is 1-1/e. I’ve skipped over a few things that I’ll mention here: technically the derivation of the function for P(t) involves the limit, so in a way I haven’t answered your question. But hopefully this provides some intuition to you as to why e shows up here. Also, technically P(t) will only have a base of e in the limit that X->infinity for 1/X. However, it’s pretty darn close even just for X=100.
If you randomly mix up a bunch of letters, the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this chance that at least one is in the right envelope approaches 1-1/e the more envelopes you have. That’s more than 50% chance of getting at least one right: this follows from the definition of the derivative of ln). 2. Still, there is another answer explaining why e is related to probability. This is above undergrad level, but it can be shown that ex is in “the generating function for the number of sets”, from which many appearances of e in probability follow – I personally like the grpupoid approach as explained here has been hailed as the most beautiful equation in mathematics: e, i, pi and 1 are all significant numbers which come from different walks of life, and yet they’re linked in a beautifully simple equation. ei*pi + 1 = 0 is how it’s usually formulated to link all 5 major constants of maths with the addition operator and equals relation. The process you describe is close (because 100 is large) to what is called a “Poisson process”. This is (in the simple case we care about) basically a process in which there is a completely random background “rate” of some even occurring. If S(t) is the probability of lasting until time t without the vent occurring and the rate is 1/tau (so tau has units of time), then that means we have S’(t)=-S/tau. The solution to this is S(t)=e-t/tau. This is related to the realm of growth because we are literally looking at an exponential decay: a value that decreases at a rate proportional to its own size.
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Growth formulas come from modeling a sequence of repeated replication events and asking how long it would take them to get to a certain size. You’re looking at a sequence of repeated events here and asking how long (on average) it would take to get a certain outcome. It’s not that far off conceptually. e pops up everywhere, so does pi. It’s always exciting when seemingly unrelated fields of math string together via these strange and wonderful irrational numbers! With finite n, the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this situation you describe is modelled by a binomial distribution B(n,1/n), where n is the number of trials and 1/n the probability of success in a single trial. You are fixing the expected value to 1, since foe as you correctly deduced.
e definitely pops up a lot in the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this realm of probabilities. And not only there, it also pops up pretty often when we try to approximate results in algorithmics. A non polynomial algorithm finds the good result X as the maximum of something, and we know a polynomial one that will get a result which is at least as good as (1-1/e)X in all cases for instance (and more often than not the proof will involve probabilities). And it comes up in plenty other fields. What’s really nice is that it seems you did the whole reasoning leading you to this without having a clue it also belonged in this field. That’s nice, hang on to the feeling it doesn’t happen every day. So to answer your question, why did you seemingly discover e, what’s the logic behind it ? Because you were persistent in writing your proof, found a result and did not stop there. You went further and found what you did not expect, and were bright and open enough to see it and not discard it as a mere coincidence. You may not be remembered as the discoverer of e (let’s be honest, you probably won’t, someone was here before), but you’ll probably remember that proof a long time, for a good reason. That’s one of the reason we do maths. Your question has an element of decay to it, since winning “at least once” has diminishing returns with each ticket, since you don’t value multiple wins.
You made a probability question, which included some exponential decay, as each ticket is less valuable than the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this last at an exponential rate. I think the other people answering that “e is more than just growth” are more correct here. But just keep in mind that if you’re going to give vague thematic descriptions, then be prepared for tohse vague categories to maybe be larger than you thought. They suggest that we’ll just give in and vote for him instead of checking a box and signing our autographs come election day. Oops…I accidentally dropped my ballot in my mailbox when I went to pick up my DoorDashed avo toast. Scandalous! I think the idea is to discourage discourse about Trump. The gambit seems to be getting people to identify with with being exhausted by it and kill the chatter due to apathy. That’s just my guess though, fuck this clown, I see it as my civic duty to shit on him whenever possible. Him winning is far worse than any potential exhaustion anybody could feel. Trump says just let Trump trump, it’s so hard not trumping be trump and let trump trump you by the the trump, they let you if you trump Everyone’s just burned out of seeing his bullshit everywhere. As pumped as ever to fire this clown into the sun
And then make the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this sun explode. Then launch the remnants of that sun into a black hole. Then make the black hole collapse. Using another black hole to slingshot it to the furthest end of the universe, to await the eventual heat – death of our entire reality. I’m tired of him ruining all my favorite comedy shows because they have to call out his bullshit every day. I just want to enjoy life without his stupid face all over my tv and phone 24 hours a day. Will be nice to never hear a thing about him again. Trump, 45th president and first man to be shipped.to the sun. He always loved staring at it, now he can live there. Yep, I’m tired, and I know the only way to make the crisis stop is to get rid of Trump for another 4 years and hope he dies during Biden’s second term. So that’s what I’m going to focus on. I will say that I wish I didn’t have to expend the energy I have on Trump over the last few years, but I don’t consider it a waste or fatigued. I was kind of hoping he would do what other presidents have done after their time is up and go off and make bad art, write a book, or build homes for the homeless and eradicate pestilence. But since he decided to be the biggest sore loser in history, he must be opposed and I have more than enough energy and contempt to heap upon him and his supporters. Exactly. I am exhausted by the constant maga madness but if we don’t it will be 24/7 madness and the end of our democracy.
I’ve been fighting for actual bodily autonomy my whole life. I’m exhausted. Trump is just the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this loudest and I have headphones. Doesn’t mean I’m quitting. It means more coffee. And apparently sandwiches. 😉 I don’t think that “crisised out” means what they think it might mean. We don’t have to watch trump’s shit show in real time anymore. We just know to keep that idiot away from the government at all costs. Our resolve is stiffened a thousandfold, even if we literally never want to see his face or hear his name ever again. I don’t know how my story will end. I don’t know what the future will bring. Maybe this is really is all for naught. Maybe it really is the last gasps of an inevitable authoritarian movement that must be worked through before we can truly move forward. And when the books are written, when the records are checked, when the accounts are tallied and reviewed, I don’t know how my name will be remembered, if it is at all. But if it is. If I can have one say in the matter. Regardless of how it ultimately turns out, I want my voice to have been one of those that spoke up and spoke out. One of those that stood fast and stood against the rise of fascism in America. That did not join its rising tide. That did not stand by and do nothing while evil prevailed.
If some day people look back at this time and wonder “How could they let this happen?” my only, single wish is that they find my name, my words, and know that not all of us did. That some of us did what we could to stop it. And that gives them hope and comfort and solace. Wow, the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this media really wants trump back. Trying to get dems to believe they are tired and get complacent. Well jokes on them cause this is the most politically energized I’ve ever been I am tired of Trump skating on things that would have resulted in nearly instant incarceration for anyone else. I am tired of the GOP making America sick so they can blame everyone else. I am tired of the Media fueling conflict over tiny meaningless issues while the world burns. I am tired of the powerful choosing greed over humanity. I am tired enough that my politeness, patience, and empathy for the voluntarily ignorant supporting the openly greedy is at an end. I want a return to clear facts, logical debate, and rule of law. And I want it now.
You know who is probably exhausted and is doing it anyway? Donald Trump. That fat fuck is fighting for his life right now and his judicial survival means our collective civil demise. So as long as he’s still in it, I’m still in it. Ain’t no way that I’m gonna give up when the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this goddamn devil himself is marching forward. I’m tired! Tired at the sound of 45’s voice. Tired of seeing his hideous, sneering face. Tired of his lies. Tired of HIS POSTS!!! Tired of his treason. Tired of his crimes. Tired of the freak show. …..but I’ll never be too tired to keep that son of a bitch from illegally gaining the presidency ever again!!! I’d like to think the ‘children’ will tucker out sooner after they’ve finished crying and throwing tantrums. Perhaps then, we can have actual adults serve our nation professionally…
NYT can suck it and keep sucking it. I’m too pissed to be tired. Eat a protein bar and get off your ass. The future is ours to write, or ours to lose. You can tell the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this whole GOP has become a grift with headlines like these. This kind of utter nonsense, has no benefit to anyone, but it makes the orcs smile to think they’re hurting us, which is the only intent here, in order to dig deeper in their pockets to keep up the push to be shitty. Actually the real issue is Trump fatigue on the right. The number of Republicans departing and not running for reelection has a lot to do with MAGA being f’ing worthless but also because they know he will lose in the general and drag the down ballot candidates with him. They basically have a choice of “if he wins we are dysfunctional and useless” or “the dems will control everything.” If anyone wants some motivation, of the Orange shit stain is on the ballot, when you vote against him, you are pretty much voting to send him straight to prison if he doesn’t get elected.
Enraged. And I will stay that way until I don’t have to worry that this trash excuse of a political party and the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this rabid raccoon that is nesting in it is going to tear our nation to shreds. What’s the ulterior motive? You can see how sick the country is of these people just by looking at their bank account. The RNC is dead broke in an election year, and the decades of lying, hatred of everything, and supporting rapist traitors is catching up to them. No motive needed from you conspiracy lovers. You completely misunderstand me. I’m saying the NYT has been straddling the line. I don’t believe the liberals are tired of the fight but NYT likes click bait articles so they made that headline. This feels like irresponsible reporting. I don’t know why, but the media wants Trump back in. Those almost feels like a targeted article making it seem like Dems are just going to stay home, and persuading those would vote against Trump not to.Article recently disclosed that the NYT wants trump to win because he is more interesting and gets them revenue; whereas Biden is boring and people don’t spend their entire day reading the news. Fuck them. I kind of agree with the article. I’m so tired of “trump this, trump that” all day every day on my news feed. I understand we need to get anyone else in office other than him if we want to keep our democracy, and I’ll do my part to make that so, but I quite frankly want to get that orange turd off my feed. Trump being president was exhausting. Every day was a scandal or crisis that would have ended any political career of a decent person. Every day I wondered if I would have rights or my marriage would be deemed illegal (im a trans lesbian). Every day I worried this narcissistic idiot would sell us out to our enemies or accidentally start a war. Ill keep fighting until he is gone completely “One Democrat came Up To Me With Tears In His Eye and Said ‘Sir, Sir! We Are Getting Tired Of Voting Against you! We were Wrong To Vote Against You, And Support You Now!'”
Just because people aren’t watching news as much anymore doesn’t mean they’re not gonna come out against trump in November. Every day since Jan 20th, 2016, I have woken up in America like this. Which will not change until Trump and his enablers are in prison or otherwise no longer able to actively influence the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this national dialogue. I stopped subscribing to the NY Times because they seem to be so biased – articles like this are reminiscent of Russian election interference, not just in America Suck it up, buttercups. Let’s!!My friend and I were cycling from Seoul to Busan and got to our hotel in Cheongju which had a sauna in the basement. We were told in Korean that foreigners weren’t allowed to use the sauna. We weren’t denied entry on language skills just not being Korean
Got rejected in Busan more times (from restaurants) than my 5 years in Japan. I don’t remember being rejected at all despite being a raw gaijin at the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this beginning Lots of Russian travelers in Busan that have caused a ton of pain for hotels/bars/etc… much more hostile to white travelers due to that It’s basically the same thing the article is saying. They just have a blanket statement of no foreigners so they don’t have to deal with this or that. If you go in with a Korean, treatment always changes. Not in my experience, been rejected in Busan many times in a group with Koreans. They said the Koreans could come in but not the foreigners. I’ve been to Busan 3 times and it was the only time I’ve been rejected from entering places/businesses, and it happened every time lol. Hell, I even got rejected from THE WATER. Went for a normal swim when some guys on jet ski’s pulled up telling me to go back. Where I’m from I usually swim 100 meters or so from the shore, they wouldn’t even let me get past neck-high water lol. Ngl, I know Koreans can be very territorial and emotional about their city, but in my opinion as a foreigner, Busan seems pretty bad in that regard. Seoul has gotten to the point where no one even really cares if you’re a foreigner, which is how it should be in any large/international city. Wait, so you tried to swim beyond the buoys and the lifeguards told you to go back? Bro, they do that to everyone. There’s a swimming zone at the beach, no one can swim past it. I don’t know, I didn’t see anything and there weren’t even any people at that specific beach at the time. It’s a dumb thing to try to regulate especially onto people who can clearly swim. It’s at your own risk, that’s common knowledge in any country. Water is too dirty closer to the shore, plastic and other shit washes up there so most people who swim tend to go 50-100 meters offshore. Either way generally the water has to be deep enough to where you can’t stand, otherwise you risk into getting scraped by a rock or something, and they stopped me way before that point
Same. Hearing about these rejections is so odd (not that I don’t believe it)…but I’ve lived here with my family for almost 10 years and don’t think I’ve ever been refused service…except by a few taxi drivers early on. It’s wild how everyone’s experiences can be so different. You havent looked hard enough. There are definitely places that dont allow foreigners regardless of language ability. That’s your experience, and that’s great! I was in Seoul multiple times for various lengths of time and I only had one experience where it was clear I wasn’t welcomed. That being said, I had a friend from Europe come to Korea, and her experience was awful. She was told she was welcomed at various establishments, she called me asking how I could like a place that is so mean to foreigners. She had a rough time. It varies for everyone. Exactly. Some Korean businesses practice the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this same acts yet are shocked to find out that similar things happen overseas. Then the government carries out hate acts against Japanese, Chinese, Caucasian, and black people. It’s absolutely disgusting when you learn about the bar bans, Sam Okyere’s racism incident, racism against Southeastern and Chinese students in schools, etc. And even worse is that some foreigners in this post are denying racism happens in Korea because they’re Koreaboo enablers
No, it clearly isn’t obvious you’re talking about the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this government. In fact it reads like you’re laughing at the Korean man addressed in the article and at the reaction from Korean netizens. People you assume and automatically generalize as being inherently racist. The article only mentions controversy online from netizens. The dumb comment you responded to also only mentions netizens. The South Korean government, which you claim you’re talking about, wasn’t mentioned anywhere. Not even by you – until you were called out by the other guy. (Now you’re saying Korean businesses lol which businesses are shocked? Tell us where you’re making these connections. Is the Korean man in the article a racist business owner?
Honestly, you seem like one of those annoying Korean Americans that will leverage their ethnicity when “speaking for Koreans” online or overseas. But at the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this same time view themselves as separate and somehow superior to native Koreans for whatever reason – and are overly critical of anything to do with this country while actively choosing to live and work here. I’ve met several Korean Americans with that type of mindset and it‘s frustrating to see. Look it would be satisfying scenario if a racist was met with racism. But that isn’t quite what happened here is it? Many experiences here too. No news stories about us of course and Koreans will often say ‘well many foreigners cause problems’ but amazing how it’s terrible when it happens to them. If they don’t know something, they will just refuse to service. Sometimes you’ll feel like you’re talking to pre-programmed robot
Except that they broke the Never Mind The Witch Beware Of The Golden Retriever for Halloween Shirt in contrast I will get this law. In both Korea and Japan confirmation of booking is a legal obligation to give someone tenancy at a designated time. When the employees obstruct a person from being serviced, they are breaking a commercial contract. That is a big reason why the hotel quickly responded by citing they aren’t in violation Japan’s Inns and Hotels Act, because it can be used as an incident to remove their license to be a hotel, which is a big fuck-up. That’s not my observation from being in Japan. Even the rudest Japanese service-provider I had to deal with still did his job(with stone-cold face, but still). But many only know how to repeat the exact things their manager thought them. When the situation is slightly different they just jam and repeat the same sentence over and over… hence pre-programmed robot.
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- Length from the highest point of the collar to the bottom hem.
- Chest straight across, armpit to armpit, with the shirt laid flat.
- Sleeve from the center back of the collar to the cuff.
| Size | Length | Chest |
|---|---|---|
| S | 2871 | 1846 |
| M | 2974 | 2051 |
| L | 3076 | 2256 |
| XL | 3179 | 2461 |
| 2XL | 3281 | 2666 |
| 3XL | 3384 | 2871 |
| 4XL | 3486 | 3076 |
| 5XL | 3589 | 3281 |
| Size | Length | Chest |
|---|---|---|
| S | 2564 | 1641 |
| M | 2666 | 1743 |
| L | 26.567 | 1846 |
| XL | 2769 | 19.750 |
| 2XL | 27.971 | 21.655 |
| 3XL | 28.572 | 22.758 |
| Size | Length | Chest |
|---|---|---|
| S | 2871 | 1846 |
| M | 2974 | 2051 |
| L | 3076 | 2256 |
| XL | 3179 | 2461 |
| 2XL | 3281 | 2666 |
| 3XL | 3384 | 2871 |
| Size | Length | Chest | Sleeve |
|---|---|---|---|
| S | 2666 | 2051 | 33.585 |
| M | 2769 | 2256 | 34.588 |
| L | 2871 | 2461 | 35.590 |
| XL | 2974 | 2666 | 36.593 |
| 2XL | 3076 | 2871 | 37.595 |
| 3XL | 3179 | 3076 | 38.598 |
| 4XL | 3281 | 3281 | 38.598 |
| 5XL | 3486 | 3384 | 38.598 |
| Size | Length | Chest | Sleeve |
|---|---|---|---|
| S | 2769 | 2051 | 34.588 |
| M | 2871 | 2256 | 35.590 |
| L | 2974 | 2461 | 36.593 |
| XL | 3076 | 2666 | 37.595 |
| 2XL | 3179 | 2871 | 38.598 |
| 3XL | 3281 | 3076 | 3999 |
| 4XL | 3384 | 3281 | 39.5100 |
| 5XL | 3486 | 3486 | 40102 |
| Size | Length | Chest | Sleeve |
|---|---|---|---|
| S | 2871 | 1846 | 33.585 |
| M | 2974 | 2051 | 3589 |
| L | 3076 | 2358 | 36.593 |
| XL | 3179 | 2461 | 3897 |
| 2XL | 3281 | 2666 | 39.5100 |
| 3XL | 3384 | 2871 | 39.5100 |
| Size | Length | Chest |
|---|---|---|
| S | 2769 | 1846 |
| M | 2871 | 2051 |
| L | 2974 | 2256 |
| XL | 3076 | 2461 |
| 2XL | 3179 | 2666 |
| Size | Youth size | Length | Chest |
|---|---|---|---|
| S | 6-8 | 20.552 | 1641 |
| M | 10-12 | 2256 | 1743 |
| L | 14-16 | 23.560 | 1846 |
| XL | 18-20 | 2564 | 1948 |
| Size | Youth size | Length | Chest |
|---|---|---|---|
| S | 6-8 | 2153 | 1743 |
| M | 10-12 | 22.557 | 1846 |
| L | 14-16 | 2461 | 1948 |
| XL | 18-20 | 25.565 | 2051 |
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