math conference

anonymous asked:

Fave B99 character(s) and why?

SERGEANT AMY SANTIAGO

  • she takes no shit from ANYONE, whether it’s jake, her dad, or even holt. she always stands up for herself no matter what
  • she likes to do empowering things “for all of womankind”
  • she loves jake peralta so much
  • she is honestly the most beautiful person i’ve ever seen in my life????
  • feminist icon tbh
  • not a generic latina stereotype
  • passed the sergeant’s exam on the first try!!!!
  • went to a weekend-long math conference called “funky cats and their feisty stats”
  • she’s so pretty wow
  • looks at herself in a mirror wearing a captain’s hat and practices saying “dismissed!”
  • hasn’t listened to rap music in three years and doesn’t know the lingo
  • learned how to kiss from reading books
  • the entirety of season 3 episode 5 “Halloween III”
  • loves binders so much!!
  • just jammin
  • jam on
  • jam on
  • have i mentioned how gorgeous she is
How I Attempted To Mathematically Model the Spread of Memes on the Internet, pt 1.

This is my first ever /actual/ Tumblr post, so first of all, let’s hope I’m doing this right.

I’ll make my introduction fairly brief as to get to the mathematics ASAP. This was part of my senior project for my mathematics B.S. (which I am very close to completing!). I presented parts of this research at the Michigan MAA Section Meeting in April of 2017. And I am really excited to share what I found in a more casual setting (rather than in a formal paper for my class or a conference presentation).

So let’s get to it, eh?

For the first installment of this series, I want to touch on two main things:

  1. Why Did I Decide To Do This?
  2. Things You Need To Know Before We Can Get To The Cool Stuff (I Know, I Know, But You Need To Know These Things)

Why Did I Decide To Do This?

My senior mathematics capstone course was on the topic of Markov chains. The main purpose of this class was for each student to complete an individual research project. I struggled for quite some time to determine what I wanted to do my project on. I eventually settled on disease modeling, but found myself disinterested with the material. I credit one visit to my advisor’s office for what sparked in me the most academic drive and passion for a project I’ve ever had.

I walked in, planning on just talking about my ideas for my disease modeling project. My advisor suggested that I could use this sort of model to work with other things, and me, being the Internet-addicted smart ass that I am, asked, “Like memes?”

So here we are.

Things You Need To Know Before We Can Get To The Cool Stuff

First, I’m assuming that you are familiar with the following concepts from linear algebra:

  • Matrix algebra
  • Eigenvalues and eigenvectors
  • Diagonalizing matrices

For the sake of time and length, I leave reviewing those as an exercise to the reader. Ha, I’ve always wanted to say that.

So I’ll begin with Markov chains.

A Markov chain is a stochastic process where the probability of being in the current state is dependent solely on the previous state you were in.

What’s an example of this?

Suppose you are playing a game on a rectangular board of 7 squares. Your piece starts on the center square. For each move, you have a probability of 1/3 of moving to the left (which I’ll denote L) and a probability of 2/3 of moving to the right (which I’ll denote R). If you get all the way to the right, you win! However, if you get all the way to the left, you lose (*sadface*). Once you reach either the leftmost square or the rightmost square, you can’t move out of them. We’ll talk about this in more detail later, but these are what we call absorbing states.

See below for the starting position.

Say your first four moves are R, L, R, R. 

Your probability of moving to the right is still 2/3 and your probability of moving to the left is still 1/3. Much like the honey badger, the probabilities don’t care that you moved R, L, R, R already; they are still the same as before. Examining this as a Markov chain is nice because it allows us to answer two important and interesting questions: 

  1. What is the probability of winning after a certain number of moves?
  2. What is the average number of moves it takes until I win? 

I’ll attempt to answer question 1, and I’ll leave question 2 as an exercise.

In order to find the probability, we must first create a transition matrix. The transition matrix, $T$, is a matrix where $T_{i,j}$ is the probability of getting to the $i^{th}$ state from the $j^{th}$ state. In this example, each state is a square on our board. Our transition matrix looks something like this:

Let’s discuss!

We note that every column sums to 1. This makes sense! We have to move every turn, so the sum of the different probabilities of leaving each state should equate to exactly 1. We also note that $T_{1,1}$ and $T_{7,7}$ are both equal to 1. These are our absorbing states! Absorbing states are those states where the probability of returning to itself is exactly 1. So, you’re essentially trapped (mwa-ha-ha) in these absorbing states. 

How does this help us find the probability of winning?

Excellent question! If we want to find the probability of being in the $i^{th}$ state after starting in the $j^{th}$ state after n moves, we simply find $T^n_{i,j}$. This can be done using your favorite computing software (I personally opt for SageMath), or if you’re feeling particularly ambitious, you can do it by hand (but I don’t recommend this, for the sake of your health). 

So if I want to find the probability of winning the game in at most, say, 10 moves, I would look at $T^{10}_{7,4}$, as this entry shows the probability of ending in the 7th state (win!) from the 4th state. Additionally, I could also find the probability of losing after at most 10 moves by looking at $T^{10}_{1,4}$. 

Here’s $T^{10}$ as outputted by SageMath:

Our $T_{7,4}$ entry is $\approx$ 0.7133, giving us a nice 71.33% chance of winning the game in at most 10 moves!

We can continue to raise $T$ to higher and higher powers and see if we can find the values that the probabilities approach, but there’s an easier way! We can find the steady state distribution of our transition matrix. 

The steady state distribution is the vector that when we multiply $T$ by this vector, we just obtain the same vector. In other words, it’s a vector $v$ of probabilities such that $vT = v$. Also, this vector $v$ is actually the eigenvector associated with the eigenvalue of 1!

For the sake of time, and since I’m assuming you’re comfortable with matrix algebra, I’ll leave the solution to you.

After finding the steady state distribution, we can determine that the overall probability of winning is 8/9 and the overall probability of losing is 1/9. Good odds! 

How does this fit into my research? / Preview for the next post!

I’ll talk more in the next post about how I viewed the spread of memes as a Markov chain, but in general, I worked sort of backwards from how I solved this example. In my research, I don’t know my probabilities, and my goal is to try to find them! So I use these ideas to create some ~pretty dope~ equations involving these unknown probabilities and try to match these equations to data sets I obtain from Google Trends. Of course, this will make more sense with my future posts!

Hope you enjoyed! Any questions/comments/concerns, feel free to send me an ask. 

Best wishes and stay positive!

(I promise that wasn’t a math pun)

(Okay, maybe it was)

Update: Here’s Part 2 of this series. 

Why I love Amy Santiago

- So smart that skipped 4th grade

- Is a notary 

- Failed  recess in second grade : “Teachers need a break too, Amy”

- In high school was voted “most appropriated” 

- In her magnet school was voted “Most likely to befriend a school administrator”

- Goes to an adult puzzle camp every summer

- Went to a math conference called “Funky Cats and their Feisty Stats”

- Has ~ possibly ~ worn a diaper during a test 

- Plays the french horn

- Perfect at lip-reading

- Has a blog of her fav laminated stuff 

- Took that sudoku cruise

- Also smart, badass, competitive, kind and the greatest dork around

Days 76-99 / 29th October - 21st November

Okay, so I realise I have been AWOL, and I am sorry. One the positive side, all my exams are done and I have suceeded in getting not one but two papers into the conference in December.

On the other hand, I’m now back at work full time, attempting to work out two twenty minute presentations to give at said conference (if anyone has any advice I would be eternally grateful), writing up grad school apps, and I’m still waiting on my thesis grade. So there is still a significant amount of stress there.

However, I made myself an A5 fauxdori for research notes out of stuff I already had and today I had frozen peas for dinner. So that was cool.

How are you all?

anonymous asked:

Apparently at the last parent/teacher conference my math teacher told my parents something along the lines of "I'd sit her with her friends, if she had any."

My mom is trying to convince me to pool money to buying my grandparent’s house in the boondocks of Washington. She’s making a case that it’s a really cool vacation house. 

Me: “Mom, I’m an academic. I am perpetually ‘on vacation’ because I am around my science all the time.”

Mom: “But you and your friends go on vacation all the time!”

Me: “Conferences. We go to math conferences. That is to say, the only time we go on vacation is when we go do math at other places with other math people for a while.”

i wish i was in touch with people more often, and that it would occasionally be other people reaching out

  • Maria: Now, if you'll excuse me, agents, I need to leave her a snide voicemail about kindergarten statistics.
  • Jemma: Okay, we have got to explain this thing to Director Hill to save their relationship - And you laughed at me when I went to that weekend-long math conference.
  • Daisy: 'Cause you called it "funky cats and their feisty stats."
  • Jemma: That was the name! It was so cool.
  • Daisy: It was not. Anyway, it's not about the math. They haven't seen each other because of the night shift. They just need to bone.
  • Jemma: What? Gross! Daisy, those are our moms! I mean... *nervous chuckle* That's not what I think. Director mom is just my boss.
  • Daisy: Wow.
  • Jemma: Never mind, I'm teaching mother the math!
3

I AM SO EXCITED 2 TELL Y’ALL THAT I HAVE BOUGHT A SILHOUETTE CAMEO AND WILL BE SELLING CUTOUT CONCERTINA CARDS SOON!

Er mer gerd freaking out I got this thing a little over a week ago on an Amazon Prime Day deal, then the proprietary blades totally blew (and at $10 a pop?! HAHAHAHAHA), had to wait until my warranty-voiding and significantly cheaper/better-in-every-way industrial vinyl cutting blades and blade housing came in the mail. Aaaaand after just now figuring out why it kept double cutting the outlines of the graphs and completely mutilating them on every test run I did, I have my first (mostly) successful ~*~machine-precision cut~*~ concertina card! Lil bitty baby babby Gaussians! Throw up in my mouth that thing is adorable, could not would not cut those tiny-ass lines by hand. My Xacto game is strong, but it ain’t THAT strong.

Still have a few more things to figure out, like how I’m gonna go about making these things colored (and also cuttin’ and colorin’ ‘em on strips of 18″x24″ bristol board instead of 8.5″x11″ cardstock), also packaging. It’ll be a lil bit before I can start selling them ‘cuz I leave for the Bridges Math Art Conference in Jyväskylä, Finland, a week from Thursday and I have two homeworks and a final to pull off for complex variables before that, God Help Me. (…But I made a 33/50 on my retake of the exam I had a mental breakdown during that lead me to take an incomplete in the class because of that shitstain harassing me. High fives errybody, that’s about what I’d made on the two exams before that if memory serves, this class is fucking hard, I have conquered residue theory and Laurent series good enough to not-fail.)

Anyway, now I’mma replace the blade in this thing cuz I think I killed it just judging by how much assisting I had to do post-cut with my Xacto knife and then I’mma just sit here and go crazy and work on homework while it cuts cuz it ain’t exactly Speedy Gonzales (at least not with double cutting it and going slow enough that it doesn’t butcher everything.) I AM VERY EXCITED.

anonymous asked:

Any new kid fic?

Daddy Do’s (8,065 | Clean) 

“Hi Mr. Stilinski!” Lydia said pertly. “My name’s Lydia, and this is my daddy. His name is Derek Andrew Hale and he watches all of your videos on YouTube a lot, but he still can’t braid.”

[Stiles is a celebrity YouTube hairstylist. Derek may or may not have a crush. Lydia just wants a French braid for school picture day.]

ladybugs (20,723 | Explicit)

It’s Saturday night, and Derek Hale is at Toys R Us. Shopping for Leapfrog games. If asked, it wasn’t exactly how he pictured his life. Or his Saturday nights.

In which Derek and Stiles have been married for ten years, have two kids, and are planning their five year old’s birthday party.

You’re Makin’ Me Feel The Monsters Are Real (26,224 | Explicit)

When Stiles was four years old, he kind of accidentally ran off into the woods near the playground. It was a good thing, too, or he never would have found the tiny ball of fur with a broken leg whimpering in the long grass. The wolf pup was storm-cloud grey with bright blue eyes, and Stiles couldn’t do anything but kneel in the grass next to him, reaching a careful hand out to soothe over the little guy’s heaving back, tears running down its muzzle. “’S okay now. I’m here. I’ll take care of you.”

Wait (23,431 | Explicit)

Sitting on his couch, staring at the wall, it feels like Derek is watching his whole, miserable, lonely life flash before his eyes. He’s twenty four and he’s alone. No family, no friends, no real pack. He’s six days away from spending one of the most family-oriented holidays of the year trying to avoid any human interaction. If anyone could see him right now, they would tell him he looks pathetic. If Laura could see him right now, she would probably beat the crap of him and then tell him he’s a loser.

The Evolution of the Egg Baby Assignment (2,941 | Clean)

At the end of the period, Mr. Wilson hands out the babies and lets the students get into their pairs to discuss their caretaking plans.

“Okay,” Stiles says, once he settles into the desk beside Lydia. “So, I was thinking - ”

“I’m going to stop you right there,” Lydia says. “Children are not in my ten-year-plan. Children are not in my twenty-year-plan. Therefore, we’re going to structure this assignment as if I’m the successful math genius I fully intend to be, which means I’ll be out of the country at a math conference for the duration of this baby thing. Have fun raising our child.”

Baby, If You Only Knew (14,867 | Mature)

““Oh for christ- I’m pregnant!” Stiles yells, “There is a baby gestating in my stomach, due in approximately seven months. You’re the father. Congratulations.””

Months after spending the night with Derek, Stiles discovers he’s pregnant. Of course it isn’t enough that there is a new threat facing Beacon Hills or that Derek is ignoring him like the plague. No, the universe just had to throw teenage pregnancy into the mix.

Edited to Add (7,663 | Explicit) 

Derek is a thuggish debt collector and Stiles is a single dad sitting on a lot of debts from his shady ex. Derek has a soft spot for Stiles’ son and… subsequently falls for his clueless, sarcastic father.

Misdiagnosis (64,282 | Clean)

It’s actually pretty simple:

Isaac is Stiles’ son.
Derek is Isaac’s pediatrician.
Stiles is Derek’s mate.

Or.

The one where Dr. Derek diagnoses Isaac with a fake disease in an effort to see Stiles more often and ultimately tell him that he is Derek’s mate.

One Hale of a Sandwich (10,090 | Teen)

Stiles in bed isn’t really something Derek should be thinking about.

Ever.

Because the person who normally picks Lily up from school? Is Scott.

Lily’s other parent. And Stiles’s partner.

Not to mention the entire source of Derek’s current misery.

AKA, the one in which Derek thinks Scott and Stiles are in a relationship and that they want to threesome with Derek.
Spoiler Alert? They aren’t and they don’t.

Falling From Grace. (127,160 | Mature)

This was never meant to happen but it has. It means suffering through the consequences of your actions in inevitable and it’s the strangest feeling for Stiles to be one of the most liked people in town to become the most looked down upon.

It was one mistake and a broken condom that has now completely altered her life for better or for worse.

not running from (4,439 | Teen)

Everyone knows if you don’t ignore about seventy-five percent of the crap that comes out of Stiles’s mouth on a daily basis, you’d never get anything done besides going completely insane.

Or: Derek totally misses the baby hints and ends up in hot water.

One-Liners from the MCC

So every math conference has a few one-liners. Some are more memorable than others. But, as I said in the intro post, there was a lot of banter at this conference and that included the presenters. For your entertainment, here are a few I managed to get down.

——

Steve Butler:

I felt kind of bad because if you’re going to come to America [from Korea], why would you go to Iowa?

Jia Huang:

So I’m trying to to use combinatorics to measure how miserable your algebraic problem is. That’s my philosophy.

Tri Lai:

So get ready for that.

[a questioner during Tri Lai’s talk]:

You’ve done ‘shamrocks’, you’ve done ‘ferns’, so the next natural thing to remove is ‘trees’… are you not doing that because— then there would be nobody left to solve the problem?

Alex Miller:

This is all just some addictive hobby.

Let me say— [walks to board] [writes ‘q’] [walks away]

Greta Panova:

So there are lots of different ways of thinking about it. But no matter how you’re thinking about it, you can’t say much.

This is basically: ‘How many Famous Problems can we put into a single result?’

Margaret Readdy:

I find this shocking, I guess you guys don’t. Not enough coffee this morning.

Sheila Sundaram:

There’s a single $\lambda$ that [works] for almost any $n$ you would care about: $n\geq 3$ and $n\neq 4,9$.

Peter Tingly:

Most of this work is Lusztig’s, in some sense. [smiles]

It’s not too bad. I mean, it’s bad, but it’s elementary.

A reduced expression with this property exists in all groups except $E_8$ and $F_4$. And Littelmann studied these for some reason.

Nathan Willliams:

Upon hearing this, Haiman locked himself in his room, and came out two days later, having also developed the statistic. 

Bi+/Trans* Support Group Community Forum

Monday, September 28, 2015 at 6:15PM

Boston Living Center, 2nd Floor Conference Room

Boston, MA

The Bisexual Resource Center (BRC) has facilitated or been affiliated with several bi-specific social and support groups in the Greater Boston Area over the past 30 years. In working to continue meeting the needs of our local bisexual community, the BRC is hosting a community forum to discuss potentially starting a peer-facilitated support group for individuals who identify as bisexual+ and transgender*  

The purpose of this meeting is to learn more about our diverse community and collect thoughts or views on starting a bi+/trans* support group. Those who attend the community forum are encouraged to provide feedback and ideas regarding a bi+/trans* support group, including but not limited to, what they would like to see in such a group (e.g. discussion topics, preferred location, frequency of meetings, overall logistics & flow) as well as past experiences with similar groups (e.g. what has worked well vs. what hasn’t worked well).  

To maintain a safe and supportive space for members of our bi+ and trans* community, this community forum will only be open to individuals who identify as transgender*  

Food and refreshments will be served. For more information, or to ask any questions, please contact brc (at) biresource.net  

————————————————-

bisexual+ (e.g. bisexual, pansexual, fluid, non-monosexual, queer, questioning)

transgender* (e.g. transgender, genderqueer, genderfluid, gender non-conforming, androgynous)