math conference

🌧What’s in my pencil case?🌧 (part 1 of 2)

I thought I’d do one of these today, since my day is filled with doctors’ appointments and I don’t have time to do other productive things~

From top to bottom:

A 0.7 bic mechanical pencil (I won this by making the all-conference math team!)

0.5 Kokuyo Colorée mechanical pencil (blue)

0.5 Uni Jetstream ballpoint pen - black ink (sky blue). I unfortunately can’t get this to work but when it was working it was my writing utensil of choice!

0.5 Pilot Hi-Tec-C gel pen- black ink

Cess Hi-Basic Collection gridded ruler (this came in a sewing kit but it’s the perfect size for my bullet journal!)

Iconic Un Jour de Reve Pen Case (I feel so fancy using this tbh)

0.5 mechanical pencil lead + white eraser set (from Target)

anonymous asked:

Fave B99 character(s) and why?


  • 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.”

The Swan, Chapter 1

TITLE: The Swan
AUTHOR: Losille2000
GENRE: Romance/Drama
FIC SUMMARY: Sequel to The Ugly Duckling. Astrid embarks on a two-week trip to London to serve as her sister’s maid of honor, hoping against all hope she might miraculously run into her Hawaiian mystery man. When her sister and soon-to-be brother-in-law drag her to a production of Hamlet to meet the groom’s best man, Astrid gets the shock of her life. The situation, though, is anything but perfect.
RATING: M (sex, language)
WARNINGS: Um, nothing yet.
AUTHORS NOTES: There are some difficult issues in here, including themes about body image/self-esteem, mixed in with the family (both well-meaning and mean-spirited) dynamic that make life complicated. Tom is also considered more of a Dominant in this, as he was in TUG, so there will be a play on that. Not full-on BDSM by any stretch of the imagination, just the D/s dynamic. Like… it’s expensive gourmet French Vanilla ice cream, instead of plain generic brand vanilla. This is not a random choice—it is integral to the plot.

All additional warnings will be listed in each chapter, respectively. I encourage you to heed them if any of these subjects bothers you.


Keep reading

  • 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!


in the airport! it’s my first time going through the whole process alone! (I’ve flown alone before but had a parent go through security with me and a relative meet me at the other end etc)..

so exciting! I am on my way to a women’s math conference that I had to apply to get into and is fully paid for sooo exiciting omg

side note I rlly need water I’m so overheated. luckily the line is moving fast (: