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Tom Eigelsbach
Works at Hangouts/Skype Math Tutor and Science/Sci-fi Geek.
Attended Vulcan Academy of Science
Lives in Washington, DC, USA
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Tom Eigelsbach

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If you own an iPhone, pull up Siri and ask, "What is zero divided by zero?" For those readers without access to Siri, here's her response:

"Imagine that you have zero cookies and you split them evenly among zero friends. How many cookies does each person get? See? It doesn't make sense. And Cookie Monster is sad that there are no cookies, and you are sad that you have no friends."

I'd be more impressed with, "Try using L'Hôpital's rule." Heh.

But seriously, although division by zero is not defined for reals, limits involving division by a real quantity x which approaches zero may in fact be well-defined. For example, if you take the limit as x approaches zero of sin(x) / x, since sin(x)=0, it seems you would have a case of zero divided by zero. But as you allow x to get arbitrarily closer and closer to zero, it turns out that the answer is 1. Which is really, really cool. Such limits are, of course, the foundation of all of calculus. 

In fact, that particular example is extra cool because you can demonstrate that the answer is indeed 1 by using the 'squeeze theorem', which is one of the most fun tricks in math. Sal Khan explains it really well along with an overview of basic trig, in case you've forgotten (this is one of my favorite math tutor videos, btw):

https://www.youtube.com/watch?v=Ve99biD1KtA

Intro to the squeeze theorem (which precedes the above video) see:
https://www.youtube.com/watch?v=WvxKwRcHGHg

#geekhumor   #math  
See what happens when you ask Siri to divide zero by zero: Voice assistant's hilarious response goes viral!
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+Donald DiPaula writes:

"the limit as x->0 of x/x is 1 for (at least) all real values of x."
 in fact, x/x = 1 for all values of x  (except zero)

Sure. But....

The limit as x->0 of 0/x is zero. 
In fact 0/x = 0 for all values of x.  (except zero)

So I've constructed a case equally as good as yours, with a different answer. There is no reason to prefer 1 to 0 (or to any other number).

There is no reason whatsoever to assign 0/0 a value of 1, and this would be gravely mistaken if you tried to do so in any equation. You'd end up with all sorts of paradoxes. 

For another take on this, check out my pal, Sal: 
https://www.khanacademy.org/math/algebra2/functions_and_graphs/undefined_indeterminate/v/why-zero-divided-by-zero-is-undefined-indeterminate

You then conflate this with a much different and also interesting problem, which is 0^0. This is not the same as dividing by zero. And similarly, you get different values as you take different limits. 0^x is going to be 0 for all non-zero x; while x^0 is going to be 1 for all non-zero x. The most interesting limit is the graph of x^x. It's an exponential curve, but as you follow it backwards towards zero, after it crosses below 1 (at 1^1), it bottoms out, interestingly, at 1/e. Then it goes back up again, and approaches 1 as it gets arbitrarily close to zero.  

Also, the alternating sum of binomial coefficients from the nth row of Pascal's triangle is what you obtain by expanding (1-1)n using the binomial theorem. But the alternating sum of the entries of every row except the top row is 0, since 0^k=0 for all k greater than 1. But the top row of Pascal's triangle contains a single 1, so its alternating sum is 1, which supports the notion that (1-1)^0=0^0 if it were defined, should be 1.

Nonetheless, because different limits lead to different solutions, the answer also must be considered to be undefined. 
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An animation of the curve adaptation with continuously increasing a/b fraction from 0 to 1 in steps of 0.01

Where δ=0 and parametric equations x=sin(at +  δ) and y=sin(bt) 
Source: https://en.wikipedia.org/wiki/File:Lissajous_animation.gif
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And you think your commute is bad. On November 12, 2014, the Philae probe finally landed on a comet some 10 years after it left Earth. Fred Jansen, who manages the mission for the European Space Ag...
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Colbert weighs in....
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+Tom Eigelsbach And I'm so happy he did! I can't wait for the Daily and Nightly Shows to air too!
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Lego is investing $150 million to replace all plastic with biodegradable materials in all of their pieces.
The LEGO Group establishes LEGO Sustainable Materials Centre and expects to recruit more than 100 employees in a significant step up on the 2030 ambition of finding and implementing sustainable alternatives to current materials.
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But... Lego never dies! It only gets thrown out when dads step on them! 
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Daanyaal Ali, Chirag Shah, both 14, and Muaz Nawaz, 13, won a TeenTech award this week for their idea, called S.T.Eye, a condom that changes color when it detects an STI.

Their idea - which is still at the concept stage - involves a condom covered with antibodies that would react with the bacteria or antigens found in STIs.

Muaz said: "We were searching the internet and we came across a Reddit post called 20 Things That Should Be Invented, and it said a color-changing condom. We decided to add the twist of reacting with an STI."

Daanyaal explained: "Once the bodily fluids come into contact with the latex, if the person does have some sort of STI, it will cause a reaction through antibodies and antigens hanging on to each other, which triggers an antibody reaction causing a color change. We took inspiration from an HIV testing method called Elisa which utilizes color-changing."

#scienceeveryday  
Three schoolboys behind a colour-changing, STI-detecting condom say they've been contacted by a contraceptive company about their idea.
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Well, supposedly these will change color when coming in contact with an STI.  Probably better for warning women, if the color change shows up before sex when the condom is put on.
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The two brightest planets in our sky — Venus and Jupiter — have been getting progressively closer to each other throughout June. Tonight (June 30), they will be a scant 20 arc minutes (0.33 degrees) apart.
The two brightest planets in our sky — Venus and Jupiter — have been getting progressively closer to each other throughout June. Tonight (June 30), they will be a scant 20 arc minutes (0.33 degrees) apart.
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This green village is being swallowed by dense layers of ivy slowly creeping over every brick and path. Houtou Wan Village is located on Gouqi Island, which belongs to a group of 394 islands known as the Shengsi Islands in the Zhoushan Archipelago. It's one of many examples of small villages in China that have become ghost towns due to urbanization, inaccessibility, depletion of resources, and shifts in industry, among other factors.

Once a thriving settlement merely half a century ago, Houtou Wan Village was gradually deserted when the small bay could no longer meet the needs of the increasing number of fishing boats. Over the past few decades, nature has reclaimed the land, turning the village into a hauntingly beautiful wonderland devoid of human presence save for wandering tourists and a handful of elderly residents who refuse to leave their birthplace.
In the mouth of the Yangtze River off the eastern coast of China, a small island holds a secret haven lost to the forces of time and nature—an abandoned fishing village swallowed by dense layers of ivy slowly creeping over every brick and path. Houtou Wan Village is located on Gouqi Island, which belongs to a group of 394 islands known as the Shengsi Islands in the Zhoushan Archipelago. It's one of many examples of small villages in China that ha...
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Nice piece of art and I wish they could grow here too.
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If the bill becomes law, California will be the 32nd state to deny exemptions grounded in personal or moral beliefs, but only the third to bar exceptions based on religious convictions, according to the National Conference of State Legislatures. Medical experts hailed Thursday's vote by the state Assembly as key to keeping deadly but preventable diseases in check.
California lawmakers on Thursday approved one of the toughest mandatory vaccination requirements in the nation, moving to end exemptions from state immunization laws based on religious or other personal beliefs.
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This morning, America's Supreme Court announced a constitutional right to same-sex marriage. By a vote of 5-4, the justices ruled that the 14th amendment prohibits states from banning gay nuptials.

In his majority opinion, Justice Anthony Kennedy began by noting that "[t]he centrality of marriage to the human condition makes it unsurprising that the institution has existed for millennia and across civilizations", referring to sources from Confucius to Cicero:

"Like choices concerning contraception, family relationships, procreation, and childrearing, all of which are protected by the Constitution, decisions concerning marriage are among the most intimate that an individual can make."

Surveying the development of gay rights over the past several decades, Justice Kennedy then held:

"Excluding same-sex couples from marriage thus conflicts with a central premise of the right to marry. Without the recognition, stability, and predictability marriage offers, their children suffer the stigma of knowing their families are somehow lesser. They also suffer the significant material costs of being raised by unmarried parents, relegated through no fault of their own to a more difficult and uncertain family life. The marriage laws at issue here thus harm and humiliate the children of same-sex couples."
THIS morning, on the anniversary of two previous rulings expanding gay rights, and on the eve of gay-pride weekend in New York and San Francisco, America's Supreme...
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Here’s the paradox: Every day, we see more unapologetically self-assured female role models, yet women’s extreme prostration seems only to have increased.

We haven’t addressed the deeper meaning of these “sorrys.” To me, they sound like tiny acts of revolt, expressions of frustration or anger at having to ask for what should be automatic. They are employed when a situation is so clearly not our fault that we think the apology will serve as a prompt for the person who should be apologizing.

It’s a Trojan horse for genuine annoyance, a tactic left over from centuries of having to couch basic demands in palatable packages in order to get what we want. All that exhausting maneuvering is the etiquette equivalent of a vestigial tail.
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When a woman opens her window at 3 a.m. on a weeknight and shouts to her neighbor, “I’m sorry, but can you turn the music down?” the “sorry” is not an attempt at unobtrusiveness. It’s not even good manners. It’s a poor translation for a string of expletives.

These sorrys are actually assertive. Unfortunately, for both addresser and addressee alike, the “assertive apology” is too indirect, obscuring the point. It comes off as passive-aggressive — the easiest of the aggressions to dismiss.

So we should stop.
Women say “sorry” too much, whether they mean it or not. Why?
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The Lego Foundation is "proposing to fund a Lego professorship of play in education, development, and learning with a benefaction of £2.5million."
Cambridge's general board recommends for the Lego professorship "of play in education, development and learning"
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Times like this I wish I had a PhD.
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✔ Certified Skeptic, Gamer, Philosopher, Sci-fi/Science Geek, Math Tutor
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"It is in the admission of ignorance and the admission of uncertainty that there is a hope for the continuous motion of human beings in some direction that doesn't get confined, permanently blocked, as it has so many times before in various periods in the history of man." 
— Richard P. Feynman
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Stephen Colbert Interviews Neil DeGrasse Tyson | PsiVid, Scientific Amer...
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Stephen Colbert is a smart science fan and often features great science book authors and scientists on his show, The Colbert Report. I also

Welcome to Looney Labs!
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Seven Dragons. Featuring the artwork of Larry Elmore! Seven Dragons is a fast domino-like card game, where players attempt to be the first t

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Watch Stephen Colbert, who is out of character, interview Neil deGrasse Tyson about science.

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Neil deGrasse Tyson Challenges Climate Change Deniers
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Neil deGrasse Tyson -- known as the "sexiest" astrophysicist alive, host of Nova ScienceNow on PBS, and Stephen Colbert's favo

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One thing I love about the Internet is that no matter how much cool stuff you come across there's always something that makes you think, "Ho

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This is the best Indian restaurant I've ever been to. It's also the best buffet of any cuisine I know of in the DC-Baltimore area, as long as you love Indian cuisine. The serve a buffet 7 days a week at a cost of $11 or $13 on weekends. Their weekend buffets are the best, however. I had three insanely wonderful dishes last time I was at the Curry Leaf for lunch on a Saturday. An okra dish that was out of this world. Same with the eggplant dish. And an outstanding cauliflower dish. Any of those three I'd consider batter than any dish at any Indian restaurant I've ever eaten at, and they had them all. They also had meat dishes, but I don't eat meat. And a dessert that was different from the usual India desserts, but it was delicious. My one problem was I had to pull myself away when I was full, because it was so good I just wanted to eat more. And on top of that, you are allowed to bring your own beer or wine with you and there is no 'corking' fee. So while this is above average what I usually want to pay for lunch, what you save from bringing your own bottle of wine to share makes up for it, as a $10 bottle of wine will usually cost you $30 or more in a restaurant. Hence, I'll bring along some of my favorite craft beer or a good bottle of wine to share, making this both my go-to place for special occasions with friends as well as my current favorite restaurant.
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Public - 5 months ago
reviewed 5 months ago
This is a great place to eat, given a couple of qualifications. It's got some really wonderful dishes that make it worthwhile. Most of the stuff they serve is mediocre and not very good, but as it's a buffet, if you know what the few really good ones are, that makes no difference, and you'll get a fantastic deal. You can take what you don't eat home, or get an extra plateful to go, or just get food to go for only $4 a pound ($6 for meat/fish). That's a great deal, and I usually get a plateful of stir-fry veggies to take home for another meal. Also, even the mediocre food is a plus if you bring finicky friends or finicky kids: they have plenty of junk food (pizza, french fries, fried chicken nuggets), plus plenty of stuff for vegans and vegetarians, plus lots of normal chinese dishes from lo mein to beef & broccoli, Everybody will like something here. The Hibachi stir fry is fantastic: you pick your own selection of veggies (and/or meats and eggs), and they have a good selection including snow peas and fresh mushrooms, and they'll cook it in front of you, and add whatever sauces you want or lots of garlic if you wish. Worth it if this is all you get. The sushi is good. Mostly California roll kinds of sushi, maybe a dozen varieties, with a couple of them vegan and several with cooked rather than raw fish. More than worth it just for the sushi alone. The salad bar is way above average, better than any of the ones you see in the supermarket for $5 or $6 a pound, with more variety, except this is all you can eat or only $4 a pound to take home, so that's worth it if you only eat salad, or bring along friends on a diet who just want to eat salad. Just order water. Soft drinks are expensive, though it's an all you can drink deal, but seriously, why the extra calories of sugar water to fill you when there's all the good food that comes with the package plan. I just get water and add lemon slices. Or maybe I'll order hot tea if I'm in the mood, but that's extra too. And I skip the desserts. There are tons of them, none that interesting, but usually at least two varieties of chocolate cake, which will make kids happy. And there are a few other really top-notch dishes, such as the string beans (always just perfectly crispy and not overcooked) or the small clams in the shell which is delicious, or the spinach and cheese dish which they hilariously always misspell as "Spanish Cheese." The rest of the stuff is mostly mediocre, but just sample and find the few really good dishes they serve, and ignore the rest, and you'll love the place. As for bad reviews and complaints about the service, all the waitress does is bring you water and take your used plates. It's a *buffet,* folks! On a rare occasion at peak hours you have to wait a minute or two in line because you pay at the start a one-price fits all, which is an amazing price, btw: $7.00 including tax with the dollar off value-pak monthly coupon in the mail, or $10.00 including tax with the coupon for $1.50 off after 3:30 for dinner or all Sunday. But if you go Sunday afternoon expect a big line to get in -- but that's because half the poor folks in that part of the county take their families there after church! They are doing a huge service to offer all this good food with tons of salad and veggies that poor families can afford instead of a greasy bucket of fried chicken at a fast food restaurant. It's the best cheap after-church family buffet in town. So it gets five stars from me. No, it's not the place to impress your date with, but it is a great place to go alone, or with a big family or group of friends where everyone will find something they like, or to get a great carry out stir fry.
• • •
Public - 5 months ago
reviewed 5 months ago
2 reviews
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