### Sarah Carlton (Formerly Sarah Pagan)

Discussion -Y'all should come play!

Firefly - Shiny. http://link.q.is/m/TD05qSP9Oo

Start a hangout

Sarah Carlton (Formerly Sarah Pagan)

2,798 followers|772,063 views

AboutPostsCollectionsPhotosVideos+1'sReviews

A friend of mine pulled me back into QuizUp, and I found a pretty good Firefly quiz! But hardly anyone plays it :(

Y'all should come play!

Firefly - Shiny. http://link.q.is/m/TD05qSP9Oo

Y'all should come play!

Firefly - Shiny. http://link.q.is/m/TD05qSP9Oo

3

I'll play

Add a comment...

Please consider donating a few dollars during this season of giving thanks for what we have. There are people in this world that don't even have water. Let's help meet the fundamental needs of every human. Together, we can do even more.

I have a modest group of friends here on Google+, and I want to appeal to you that if you have money you can part with this month, consider donating to what I consider a worthy cause.

3

Add a comment...

Via +Adam Liss

9

1

3 comments

Steve May

+

1

2

1

2

1

+Sarah Carlton Thank you.

Add a comment...

WOOOHOOO!!!

We've been collaborating with the search ranking team at Google to improve search quality using big, deep neural nets. Bloomberg wrote up a brief piece about this work, which launched several months ago and gave very significant quality improvements.

When Google-parent Alphabet Inc. reported eye-popping earnings last week its executives couldn’t stop talking up the company’s investments in machine learning and artificial intelligence.

1

Add a comment...

This is so amazing! Even plotting the angles alone would have been challenging; creating it with anything but a 3D printer could have been a nightmare. That's not even mentioning the genius to come up with it in the first place! I'm just really geeking out about this. So cool...

Via +Ben Hibben

Via +Ben Hibben

You don’t get much more old school than a sundial, and more new school than 3D printing. So, it is nice to see these two combined in this impressive project: the 3D printed digital sundial. We have seen a few sundial projects before, ranging from LED…

5

1

that is awesome!

Add a comment...

So this clickbait title barely tells you anything, but the linked article actually is a list of foods that is straining the California water supply. Most of the recommended substitutions seem pretty easy to do. Of course, moving the Nestle water bottling plant would probably fix this overnight, but hey, we little people have to do our part too.

3

6 comments

Loc T

+

2

3

2

3

2

Add a comment...

This has NEVER happened to me...

4

1

Add a comment...

I remember watching a documentary on Andrew Wiles and Fermat's Last Theorem several years ago, and I loved the simplicity and the beautiful mystery of it. This...this is incredible.

Srinivasa Ramanujan is a legend of the mathematics world. The son of a shop clerk in rural India, he taught himself mathematics, primarily out of a book he borrowed from the library. The math that he did started out as rediscovering old results, and then became novel, and ultimately became revolutionary; he is considered to be one of the great minds of mathematical history, someone routinely mentioned in comparison with names like Gauss, Euler, or Einstein.

Ramanujan's work became known beyond his village starting in 1913, when he sent a letter to the British mathematician G. H. Hardy. Ramanujan had been spamming mathematicians with his ideas for a few years, but his early writing in particular tended to be rather impenetrable, of the sort that today I would describe as "proof by proctological extraction:" he would present a result which was definitely true, and you could check that it was true, but it was completely incomprehensible how he got it. But by the time he wrote to Hardy, both his clarity and the strength of his results had improved, and Hardy was simply stunned by what he saw. He immediately invited Ramanujan to come visit him in Cambridge, and the two became lifelong friends.

Alas, his life was very short: Ramanujan died at age 32 of tuberculosis (or possibly of a liver parasite; recent research suggests this may have been his underlying condition), less than six years after his letter to Hardy.

When we talk about people whose early death was a tremendous loss to humanity, there are few people for whom it's as true as Ramanujan, and a recent discovery in his papers has just underlined why.

This discovery ties together two stories separated by centuries: The "1729" story, and the great mystery of Pierre Fermat's last theorem.

The 1729 story comes from a time that Hardy came to visit Ramanujan when he was ill. In Hardy's words:

"I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. 'No', he replied, 'it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways.'"

This has become the famous Ramanujan story (and in fact, 1729 is known to this day as the Hardy-Ramanujan Number), because it's just so ludicrously Ramanujan: he

The other story is that of Fermat's Last Theorem. Pierre de Fermat was a 17th-century French mathematician, most famous for a theorem he

From Pythagoras, we know that the legs and hypotenuse of a right triangle are related by a²+b²=c². We also know that there are plenty of sets of integers that satisfy this relationship -- say, 3, 4, and 5. Fermat asked if this was true for higher powers as well: that is, when n>2, are there any integers a, b, and c such that aⁿ+bⁿ=cⁿ? He claimed that the answer was no, and that "he had a truly marvelous proof of this statement which was, unfortunately, too large to fit in this margin."

The consensus of mathematicians ever since is that Pierre de Fermat was full of shit: he had no such proof, and was bluffing.

In fact, this statement -- known as Fermat's Last Theorem, as his notes were only discovered after his death -- wasn't proven until 1995, when Andrew Wiles finally cracked it. Wiles' success was stunning because he didn't use any of the traditional approaches: instead, he took (and significantly extended) a completely unrelated-seeming branch of mathematics, the theory of elliptic curves, and figured out how to solve this. That theory is also at the heart of much of modern cryptography, not to mention several rather unusual bits of physics. (Including my own former field, string theory)

And so these two stories bring us to what just happened. A few months ago, two historians digging through Ramanujan's papers were amused to find the number 1729 on a sheet of paper: not written out as such, but hidden in the very formula which expresses that special property of the number, 9³+10³=12³+1.

What turned this from a curiosity into a holy-crap moment was when the rest of the page, and the pages that went with it, suddenly made it clear that Ramanujan hadn't come up with 1729 at random: that property was a side effect of him making an attempt at Fermat's Last Theorem.

What Ramanujan was doing was looking at "almost-solutions" of Fermat's equation: equations of the form aⁿ+bⁿ=cⁿ±1. He had developed an entire mechanism of generating triples like these, and was clearly trying to use this to home in on a way to solve the theorem itself. In fact, the method he was using was precisely the method of elliptic curves which Wiles ended up using to successfully crack the theorem most of a century later.

What makes this completely insane is this: Wiles was taking a previously-separate branch of mathematics and applying it to a new problem.

But

Ramanujan was making significant progress towards solving Fermat's Last Theorem, using the mathematical theory which would in fact prove to be the key to solving it, while making up that entire branch of mathematics sort of in passing.

I shudder to imagine what our world would be like if Ramanujan had lived a longer life. He alone would probably have pushed much of mathematics ahead by 30 or 40 years.

If you want to know more about elliptic curves, Fermat, and how they're related, the linked article tells more, and links to more still. You can also read an outline of Ramanujan's life at https://en.wikipedia.org/wiki/Srinivasa_Ramanujan , and about Fermat's Last Theorem (and why it's so important) at https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem .

Ramanujan's manuscript. The representations of 1729 as the sum of two cubes appear in the bottom right corner. The equation expressing the near counter examples to Fermat's last theorem appears further up: α3 + β3 = γ3 + (-1)n. Image courtesy Trinity College library. Click here to see a larger ...

2

1

Add a comment...

That is pretty adorable XD

Replying to an emails on a mobile device can be a challenge, even for short replies. What if there were a system that could automatically determine if an email was answerable with a short reply, and compose a few suitable responses that you could edit or send with just a tap?

Smart Reply, which will be launching later this week, is built on a pair of recurrent neural networks, one used to encode the incoming email and capture the gist of what is being said and the other to predict and compose grammatically correct possible responses.

Head over to the Google Research blog to learn more.

1

Add a comment...

I have nothing to add to this XD

My obsession with Schrödinger jokes continues...

11

1

Add a comment...

So glad to hear things are going well for them! I hope this turns out to be a no-brainer choice for companies to adopt.

Via +Adam Liss

Via +Adam Liss

This post originally appeared in Inc. Before Dan Price caused a media firestorm by establishing a $70,000 minimum wage at his Seattle company, Gravity Paym

7

Musisca

Add a comment...

Communities

8 communities

Basic Information

Gender

Female

Other names

LadyVulcan (ingress)

Story

Tagline

I love to laugh!

Introduction

I'm just a girl.

Just a girl who's studying Computer Science, loves everything Google, wants make neat things with code, and eventually be an awesome teacher so I can pay it forward.

Collections Sarah is following

View all

Links

Other profiles

Sarah Carlton (Formerly Sarah Pagan)'s +1's are the things they like, agree with, or want to recommend.

Google Lat Long: Become a Pokémon Master with Google Maps google-latlong.blogspot.com Monday, March 31, 2014 at 9:42 AM. We value employees who are risk-taking and detail-oriented, have deep technical knowledge, and can naviga |

Minuum Keyboard market.android.com MINUUM - The smarter, smaller keyboard that lets you do more with your screen space. It’s the little keyboard for big fingers! Minuum takes |

Chiffon Sheath One-shoulder Wedding Dress with Natural Waist www.foxgown.com Cheap Chiffon Sheath One-shoulder Wedding Dress with Natural Waist on Sale! Buy Chiffon Sheath One-shoulder Wedding Dress with Natural Waist |

Puts His Own Spin On It notalwayslearning.com (I'm in the printmaking studio with friends, and it's near the end of the semester. Most of our projects are finished, so we're helping the |

ThreeDTetris: 3D Tetris Puzzle market.android.com ThreeDTetris is a fun puzzle game that is inspired by 3D tetris Blockout. The goal of the game is to lay down the blocks of different shapes |

Google Wallet market.android.com • Send money easily to any friend in the US with an email address. And once you start using the app, you’ll also get access to sending money |

Jamie the Very Worst Missionary: Better when. www.theveryworstmissionary.com "My marriage feels kind of blech. I think we can't stand each other. But we love each other. But we don't want to be around each other. But |

PDFSplit! - Split PDF files online for free. www.splitpdf.com PDFSplit! is a free online PDF splitter. No installation, no registration, it's easy and free to use. |

GoComics market.android.com Want funny? Love comics? We've got your fix. The GoComics app, from Universal Uclick, is the mobile comics portal for many of the most popul |

World of Solitaire worldofsolitaire.com Over 50 beautiful free web based Solitaire games. Klondike, Spider, FreeCell and more. No installs, no flash, no plugins needed. |

Android www.android.com Introducing Android 4.0, Ice Cream Sandwich. Android 4.0 brings an entirely new look and feel. The lock screen, widgets, notifications, mult |

Google+ market.android.com Share and keep up with people no matter where you are. FEATURES: - Turn on Instant Upload to sync photos from your phone to a private Googl |

Google Politics & Elections www.google.com Google Politics & Elections. Your elections hub to study, watch, discuss, participate in and make your impact on the digital campaign trail. |

Paramore plus.google.com Paramore's self-titled 4th album featuring the first single 'Now' will be released April 9th on Fueled By Ramen. |

Google Voice market.android.com Make cheap international calls with your Google number. Send free text messages. Place calls and send text messages showing your Google numb |

Minecraft www.minecraft.net Minecraft is a game about placing blocks to build anything you can imagine. At night monsters come out, make sure to build a shelter before |

This place is amazing! I wish I could recommend something specific, but everything is so good I can't pick!
Edit: some of the other reviews are mentioning bad service. I've been here at least a half a dozen times and have gotten some spotty service, but I've never seen a bad server twice. They're still in the process of getting a full suite of good servers I think. That said, they already have a few that I've seen a few times who are friendly and fast. Give them a chance, because the food is definitely worth it. It takes a little while to prepare so don't go when you're already starving.

Public - a month ago

reviewed a month ago

Offers several dishes of southern comfort food. Has a sports aura, but less noisy than one would expect from that genre of restaurant. Excellent service.

Public - a month ago

reviewed a month ago

I usually eat here on Sunday nights after the main dinner rush, and they're still just as friendly and prompt on an off-shift as one would expect from a main shift.

Public - a month ago

reviewed a month ago

Very polite, good service.

Public - a month ago

reviewed a month ago

This is one of my favourite places to eat! It is usually pretty quiet, but the food is great and the place is clean. The owner is a very sweet lady. As for what people are saying about service: when it's quiet, the grill workers tend to go back into the kitchen, and so when you want a refill you need to get their attention, but they're not rude about serving you. And the owner is almost always there and she's a great server.

Public - 3 months ago

reviewed 3 months ago

Quite affordable housing for UofL, with very convenient access to Speed School. Flash floods can trap you from the outside world though.

Public - 4 months ago

reviewed 4 months ago