Who is this Taylor guy, anyway?
We’ve started Taylor series in calc this week. Which is cool; I think I’m understanding what they are/how they work/why they’re important. But one thing I don’t know is who this Taylor fellow is.*
TO THE WIKIPEDIA-MOBILE!
So it looks like Brook Taylor was an early 18th century British mathematician. He did some work on the then newly described calculus, coming up with work Lagrange popularized in the late 1700s and, of course, came up with Taylor’s Theorem and Taylor series.
Here’s a cool demonstration of Taylor series approximation for various trig functions.
Edit: OH GODS HE STUDIED UNDER KEILL. Why, Taylor, whyyyyy?!
Edit 2: he was on the Royal Society committee set to hear Newton’s claims against Leibniz, too! Whaaaaat.
*I wish more teachers gave at least brief little intros on the people who come up with all this cool stuff. Especially when we’re learning about something expressly NAMED after someone.
Cha-cha-cha
Be honest, who texted you last?
Kody?
Do you sleep with the bedroom door open or closed?
Closed. Unless Annabelle is down here. Then I leave it open so that she can get upstairs.
Do you drink tea?
Green tea is awesome.
Do you have plans for tomorrow?
I always have plans.
What’s worse: dry skin or chapped lips?
I can’t stand chapped lips.
Would you be surprised if Facebook started charging?
No.
Would you rather go to Canada or California on vacation?
CANADALAND! It’s like Disneyland, but with Canadians. “Snow White and the Ten Provinces, eh?”
How many social media sites are you registered with?
Depends on what you consider a social media site. Two? Three?
Are you wearing jeans, shorts, sweatpants or pajama pants?
None of the above.
So, what if you changed lives for one day with the last person you texted?
That would be hilarious.
Last person you told a secret to?
I can’t even remember the last time I told someone a secret.
What are you listening to at the moment?
Achievement Hunter’s Let’s Play – Farm Simulator 2013.
Where was the last place you fell asleep other than your bed?
On the bus.
Is there someone that you believe you will always be attached to?
Eh.
Are you going to any concerts this year?
Doubt it.
Do you believe in Karma?
Hahaha, I read “Karma” as “Kelvin” and I was like “NO ABSOLUTE ZERO IS A GOVERNMENT CONSPIRACY”
Have any memories that you’d like to forget?
Not really.
Is there someone you really like to hang out with and just talk about stuff?
Not anymore.
Have you ever been called prince or princess?
I don’t think so.
Do you think teenagers are weird?
We’re all weird.
How fast does your mood change?
Depends on the day.
How are you feeling?
Upset.
Do you want someone to call you right now?
No.
What do you always take with you?
Anxiety.
Is your bed comfortable?
Indeed.
Would you say you’re an understanding person?
I try to be.
Are you generally a happy person?
No.
Who’s in your facebook profile picture with you?
No one but myself.
Were you single on Valentines Day?
I’m always single.
What is the last movie you watched?
Sunshine!
Do you listen to songs when you’re done?
Done with what?
How long does it take you to fall asleep at night?
Like two minutes.
Are you talkative?
Sometimes.
What are your St. Patty’s day plans?
That was like five days ago.
Math!
Dammit math, you’re making me cry.
Can you identify all the mathematical tidbits throughout?
Galton machine FTW at 0:59!
A Few More Reasons why “Sunshine” Rules
I’m not a movie person. We’ve established this.
I’ve mentioned Sunshine on here once or twice before because despite my not being a movie person, I really, really, really like this movie.
Reasons [and possible spoilers?]:
- It’s about the freaking sun, man. I love the sun.
- I was expecting it to be one of those cheesy “good looking action heroes wear overly revealing space suits and sucker punch the sun with a nuclear bomb, restarting it, and everyone lives happily ever after.” It’s totally not.
- The soundtrack is the most phenomenal soundtrack ever. Example, example.
- Despite it not being scientifically accurate in a lot of ways, the details included that are accurate (or at least are believable) make it a believable movie. At least to me. I guess what I’m saying is that the story itself is so strong that the specific details need not be totally accurate. Which I think is important for a sci fi such as this.
- Kaneda’s death makes me cry each time. Movies do not make me cry.
- Seriously, the soundtrack is beautiful. If you can’t find the movie, at least find the soundtrack.
- When Capa says, “we’re flying into the sun” near the very end, it is delivered in such a heart-wrenching and beautiful way that is just totally makes the ending.
- It lacks an unnecessary romance subplot. How many movies can you say that about?
- You go in totally expecting a HAL moment with the Icarus II computer. It doesn’t happen. It fakes you out a couple times, but it doesn’t happen.
- Dr. Searle is a badass.
- THAT EFFING FALLOUT-ESQUE FLASHY THING WHEN THEY BOARD ICARUS I OH MY GOD
- The third act. I’ve read a lot of review of the movie (’cause, you know, I get overly obsessive about things I like) and the main complaint is that the third act “ruins” everything because it is so different than the first two thirds. I didn’t like that as well at first, but now that I’ve watched it for like the hundredth time, I realize that I think it works. Again, you’re not expecting it.
- DID I MENTION THE SOUNDTRACK?
Haha, sorry. I just dig this movie. Go find it and watch it, seriously.
Zenophobia: the irrational fear of convergent sequences
I like to read about mathematicians as much as I like to read about math itself. I think the people and history behind math are just as important as the math itself. I’m sure a lot of people would debate me on that point, but I think math—the tool we use to understand the universe—can itself be understood so much more when given some context.
Heck, sometimes the simplest things can help give rise to phenomenal mathematical advancements.
Take calculus (surprise, surprise). Kepler, chilling out in the early 1600s before either Leibniz or Newton existed on the planet, was angered by a wine merchant whose methods for measuring the volume of a wine barrel was less than accurate. So he started thinking, “Hey, how do you go about calculating the volume of such a weird shape like a wine barrel, anyway?” And thus, Nova stereometria doliorum vinariorum, or New Solid Geometry of Wine Barrels, was born. He also started on the track of differentiation by wondering how one would create a wine barrel whose dimensions maximized the amount of wine the barrel could hold.
I know that’s a small example, but I think just knowing that itty bitty bit of calculus history “anchors” that bit of math in time and space. At least more so than saying “and then at one point some dudes came up with integration.”
Which is usually how it’s taught (that or, “here’s how you do integration with no context whatsoever!”).
Haha, sorry. THIS IS WHY I WANTED TO TAKE HISTORY OF MATH. I love seeing how all these different aspects of history and people and theories and everything connect. It just makes everything make so much more sense.
TWSB: Exploding lakes? Okay, who had the canoe full of potassium?
HORRENDOUS JOKE HAS NOTHING TO DO WITH ACTUAL EXPLODING LAKES!
‘Kay.
So up until this point, I think the scariest thing I’ve posted involving lakes was this drilling accident that happened in 1980 on Lake Peigneur.
But I just stumbled upon the Wikipedia article for a phenomenon called a limnic eruption. A limnic eruption occurs when a large amount of CO2 gas “erupts” out of a lake that is nearly saturated with it. The eruption of CO2 kills pretty much every oxygen-dependent thing in the near vicinity and also may trigger a tsunami from the rapid displacement of the gas.
Limnic eruptions are said to be triggered by such things as landslides and volcanic activity. Luckily, though, they’re rare; only two have been observed in recent history. The first occurred in 1984 at Lake Monoun in Cameroon and killed 37 people. Two years later, a much deadlier eruption occurred in Lake Nyos, a neighboring lake to Monoun, which killed between 1.700 and 1,800 people.
The consequences are fairly immediate. The CO2, denser than air, displaces the breathable atmosphere close to the ground. People either suffocate from lack of oxygen or die by CO2 poisoning. The erupting gas is also supposedly cold enough to cause frostbite, as the survivors of these two historical eruptions had frostbite-like blisters on their skin. Also, according to Wiki, “the survivors also reported a smell of rotten eggs and feeling warm before passing out; this is explained by the fact that at high concentrations, carbon dioxide acts as a sensory hallucinogenic.”
Even though this type of natural disaster is rare, scientists are keeping a close eye on Lake Kivu, a lake between Rwanda and the Republic of Congo. A much larger lake than Nyos and situated in a much more densely populated area, Kivu’s CO2 and methane saturation levels have been increasing over the years, making it a potential candidate for an eruption sometime in the future. It is also near Mount Nyiragongo, an active volcano that last erupited in 2000. As of now, scientists are trying to figure out if scrubbing the lake of CO2 could have any real impact in reducing the danger of a limnic eruption.
Freaky stuff, nature, freaky stuff.
The Fisher-Yates Shuffle is not a dance
So I’ve been screeching for like the past five minutes because THE FALL CLASS SCHEDULE IS UP ZOMG!
The bad:
Agh, the ONE CLASS I really, really, really wanted to take (History of Math) is not offered.
[frustrationfrustrationfrustrationfrustration]
The good:
Well hell, everything else looks good, though. Regardless of which section(s) I end up teaching of STAT 251, none of them will conflict with the other classes I want to take.
Tentative schedule:
(MWF)
STAT 451: Probability Theory (8:30 – 9:20)
ENGL 492: Advanced Fiction Writing (12:30 – 1:20)
MATH 432: Numerical Linear Algebra (1:30 – 2:20)
MATH 215: Intro to Advanced Mathematics (2:30 – 3:20)
(TH)
MUSA 321: Concert Band (4:30 – 5:20)
I also really want to take HIST 404: History of Science until 1800, but I can’t find the prerequisites anywhere (it’s a special topics class, so who knows) and it also conflicts with Advanced Fiction.
ANYWAY.
Throw one (or two?) sections of STAT 251 in there and we’re good.
But DAMMIT I wanted History of Math.
SLDFJALKFJASLKDFJASLD
I
AM
SO
FRUSTRATED
WITH
EVERYTHING
Hey, remember back when my blogs were good?
Me neither.
I may have mentioned this video on here before, but I’m pretty sure I’ve never posted it or really talked about it. And I re-discovered it the other day, so here you go.
This nifty little song is called Prisecolinensinenciousol. Written by Italian Adriano Celentano, the song’s lyrics are total gibberish designed to sound like American English.
Catchy, ain’t it? I remember one spring when Nick and I would talk to each other in fake French we actually convinced some dude at Hastings that we were really speaking French. We’re bad people, oui?
LEIBNIZ.
Have I mentioned lately how much I love this man?
(Yes you have, Claudia. Shut up.)
(NEVER!)
The more I read about him the more I like him. And I’ve read a lot about him, so I like him a lot.
I mean, not only was he a freaking genius with the wig of a god, but he had to deal twice—twice—with being publically accused of stealing the idea of calculus from Newton. First from Fatio, who Newton actually quelled when Leibniz wrote him and said, “hey man, this dude’s saying false things about me!”
And did Leibniz set out to ruin Fatio the way Fatio was wanting to ruin him?
Nope!
He was like, “I won’t stoop to that level. I’ve got more important things to do with my time.”
And then there was Keill. And Keill was out for blood, man. He publically and without reservation bellowed claims of plagiarism to all who would listen.
And once the accusations actually reached Leibniz I’m sure he was like, “ugh, not this again.” But even after all that insanity, Leibniz did very little to Keill. He still tried to maintain his “I’m above all this nonsense” even after Newton’s Commercium Epistolecum was published, totally slandering his name.
He just seems like he was a good guy. That makes me happy.
Now back to obsessively stalking dead people!
So.
The stats department has a special computer lab exclusively for stats grad students and faculty/staff. I was in there this afternoon re-making lecture notes when I noticed that the posters they’ve got on the wall are still wrapped in their original plastic and are just stuck to the wall with tape.
That’s hysterical.
Productivity upgrade!
So this afternoon I pretended I had free time and upgraded my walking desk. I had to mix-and-match dresser drawers to achieve the perfect height.
Now the desk part is freestanding from the treadmill so it doesn’t vibrate/wobble.
I always think much more clearly when I’m out walking, so maybe this will make me more productive.
WOO!
Achievement Hunter!
If you’re ever feeling down, just watch some Achievement Hunter. Seriously.
Rage Quit is always good, of course, but some of the Let’s Plays are just hilarious.
Worms. Farm Simulator 2013. Moonbase Alpha.
I just started watching their Minecraft Let’s Plays from the beginning. The third one, oh my god. It reminds me so much of gaming with the guys in the house.
Fantastic.
2,500
2,500 days ago, I published my very first blog post.
That’s a little less than 7 years ago (6 years, 10 months, 4 days), for those of you needing a different metric.
A lot can happen in 2,500 days.
I, for instance (in roughly chronological order):
- Graduated high school
- Got my wisdom teeth pulled
- Went on 2 cruises to Alaska
- Marched a Seattle Seahawks halftime show
- Witnessed the rise of YouTube
- Witnessed the fall of MySpace
- Discovered my passion: statistics
- Got dumped by someone
- Discovered Leibniz
- Roomed with one guy I knew fairly well plus three guys I didn’t know at all
- Dumped someone
- Had the most genuine relationship I’ve ever had
- Earned 2 bachelor’s degrees
- Turned 21
- Got accepted into grad school twice
- Survived swine flu
- Lived in Vancouver, BC
- Witnessed the rise of Twitter
- Ran a 10k
- Went skydiving
- Earned a master’s degree
- Quit a PhD program
- Walked over 1,000 miles in about 11 months
- Saw Mount Rushmore
- Lived in London, ON
- Been (mentally) very, very sick
- Took a year off from school
- Medically withdrew from a PhD program
- Lived in Tucson, AZ
- Got a job teaching statistics
- Went back to undergrad
- Won NaNoWriMo four times
- Turned 25
- Blogged every day
And probably a lot of other stuff that I’m not remembering off the top of my head.
But you know what’s really cool? I’m currently only ONE QUARTER of the way to my goal of 10,000 posts.
Think of all the other things that will happen by post 10,000! That’s not going to be until 2033. What will the world be like in 2033?
I’m excited. That seems so far away.
Catoptromancy
I’m posting this thingy I wrote for Non-Fiction because 1) I have nothing else to say today
and 2) looking back, this is freaking hilarious, even though at the time it was REALLY scary.
* * *
When I was in fourth grade, several of my friends and I attempted to summon Bloody Mary in the basement of our church.
Of course, good Catholic girls would usually never dream of doing such a thing. Church was for worship, and worship was to be carried out sitting in the pews of the main hall. The basement was reserved for storing old candle holders, robes, and broken organ pipes. It certainly wasn’t a place to summon apparitions.
And though we were indeed good Catholic girls who attended church regularly, prayed before every meal, and were kind to the nuns in charge of our elementary school, we were also a clique of tweens looking to entertain ourselves one dreary Saturday afternoon. Thus, the prospect of going down to the basement and getting in a little trouble was something none of us particularly shied away from.
St. Mary’s Church was a familiar place to all of us. Every Friday entailed a mini field trip for our whole school to the church to begin the day with a service before resuming our usual education. But we had ended up there on a Saturday due to the Easter service planned for the following weekend. Our parents, avid Christians themselves, had volunteered to help our priest to prepare the church for the lavish event that was Easter. The collective lot of us kids—seven girls in total—had been dragged along to help as well.
However, it became clear rather quickly that we were too distracting to one another to add any degree of useful labor to the situation, so we were ushered away from the flowers and candles and banners and told to “go play.”
My father was the head trainer of altar servers. Due to his lack of foresight regarding hiring a babysitter to watch me while he went to train, I would often be dragged along with him and forced to entertain myself as he worked. As such, I knew the basement of the church well. I proposed it as an option to my friends, and as we descended the stairs carpeted in a mustard yellow and flecked with maroon like old splatters of blood, Mariah, always the troublemaker, proposed the idea of Bloody Mary.
We were all familiar with the ritual, of course—stand in a darkened room in front of a mirror, chant “Bloody Mary, we have your baby” three times, and wait for her ghost to appear. We were bored, none of us could think of anything else to do, so we agreed without much argument. To the left of the landing at the foot of the stairs was a single-occupant unisex bathroom. On one side was situated a long counter and on the wall above it stood a large mirror with a string of naked bulbs in a row above.
It was perfect for our purposes.
We funneled into the bathroom, giggling with that sort of reserved nervousness that only arises when you know you are doing something that is likely to lead to trouble. I shut the door behind us and instruct Kelly to turn off the lights.
We ceased giggling as the room snapped to darkness, only the faded glow of the extinguished bulbs above the mirror and the slightest sliver of light from the hallway spilling onto the floor from the crack under the door still illuminating us. But it was too dark to see anything else.
Mariah, the instigator of all this, was rendered silent. It was Lara who prompted us to speak.
“So?” she whispered, as if even the faintest sound above our collective breath would evoke Mary from her mirrored entombment.
“We have to start it together,” I whispered back, too afraid to begin the ritual alone. Meredith suggested a count-off and, with nervous breaths beating whisps of noise into the static that was the surrounding silence, we began our chant.
“Bloody Mary, I have your baby…”
You could hear our collective consternation in the wavering of our voices. Of course, none of us believed for a second that upon the third calling of her name, Bloody Mary would indeed rend herself from the reflective glass and murder us all. But we barely whispered the call anyway, just in case the rumors regarding the ritual were true.
Someone to the right of me reached down and grabbed hold of my hand. I jumped. It was only the sensation of the warm palm against mine and the fact that whoever the hand belonged to moved even closer to me that prevented me from screaming that our bloody apparition had arrived two calls early.
“Bloody Mary, I have your baby…”
The room was getting hot. The obvious reason for this—that the already-stuffy bathroom was full of 7 nervous fourth-graders all panting with anticipation and fear—never even occurred to us, or at least to me. I was convinced the heat was emanating from the mirror as we blindly faced it in the musty darkness in front of us.
“Bloody Mary…”
The person standing to my left grabbed my unoccupied hand and I grabbed hers back and we clung to each other as the final four words were sent from our lips and jettisoned into the receiving darkness and whatever other beings occupied it.
“…I have your baby.”
In the silence that followed, I realized I had shut my eyes despite the darkness and decided to reopen them in a sudden surge of bravery. Had all my senses not been occupied in my intense focus on the mirror, I would have been aware of the fact that my hands were in a death-grip with the two individuals who had sought similar comfort from me. My ears were like receivers, trying to filter through that odd din of static that so readily beats upon your ear drums in the absence of any real sound, listening for any indication that Bloody Mary was on her way.
Nothing. Not a sound, not a movement, not even a change in the hot air encapsulating us all, save for the quick, nervous breaths of a group of young girls prepared for horror but relieved to find no such thing awaiting them. My heart, though still pounding so severely I thought in my 11-year-old mind that I’d actually experienced a heart attack, slowed almost immediately to a more normal pulse.
Then there was a bang. Had we been in a safer situation, we would have attributed the bang to its rightful source: our priest knocking a ceramic bowl to the carpeted floor or maybe a parent dropping a heavy box. But to us, it was none other than Bloody Mary herself, the angered apparition awoken from her slumber, banging against the back of the mirror before breaking into our make-shift sychomanteum to murder us all.
The bathroom erupted into blind chaos. Screaming, pushing, jumping, flailing—the two hands I was holding broke free of mine in a flurried panic as their owners shrieked and thrashed and thought solely of protecting themselves from the murderous specter.
I pushed my way through the choir of terrified sopranos towards the door, the sliver of light emanating from between the bottom of the door and the floor projecting like a ray of hope for escape. I clawed at the doorknob, my fingers rendered numb and useless from fear, until I finally heard the click of the hinge and I throw the door wide to save us all.
We burst from the darkened room, still hollering, still flailing, still shaking our hands and arms as if to shed ourselves of any residual poltergeist that may have touched us in the turmoil. But the immediate danger being over, our shrieks soon dissolved into nervous giggles and tense smiles as we realized we’d survived the summoning with nothing more than racing hearts to show for it.
But in another instant I caught a glimpse of Mariah’s hand, a sharp streak of red standing out against the white of her skin.
“What’s that?” I asked her, pointing to the offending mark.
The giggling stopped as our attention was turned to Mariah. She inspected the mark, then ran the fingers of her opposite hand across it. She brought her stained fingers together, rubbed them to get an idea of the substance.
“It’s lipstick,” she whispered.
Our silence due to curiosity gave way to the silence of shock as all of us, our eyes wide, glanced at one another with astonishment over the new development that had just taken place. There was no doubt in any of our minds now that Bloody Mary had indeed paid us a visit, and it was only our panicking and swift exiting of the bathroom that had saved us from anything more severe than a streak of blood-red lipstick.
We said no more to each other; we simply clung together, a herd of spooked young girls who had just escaped a brush with death, and made our way back up out of the basement. It would be years before we felt comfortable discussing the encounter at all.
Now some may question whether our shock over this bit of cosmetic displacement was actually warranted. After all, being 11- and 12-year-olds, we were in the right demographic for makeup experimentation. It could easily be assumed that the lipstick, belonging to one of us, had ended up on Mariah’s hand in the chaos that had ensued in the bathroom. This is a perfectly valid theory, and one we had all considered before the obvious reason for its dismissal occurred to any of us: good Catholic girls don’t wear makeup.
Why does this keep happening?
So there’s this guy. (Yeah, I know. Every semester.)
I know you’re probably sick of me semi-fawning over some random dude seemingly every semester, but this time I’m just really freaking confused. I think I like him, and I think he likes me, but I’m so bad with relationships because it’s been like five years since I’ve had one that I don’t even know anymore. I’m afraid that I’m convincing myself that there’s something there just because I’m tired of being alone.
Plus he looks like a freaking movie star and is pretty damn smart, so I have no idea what he’d ever see in a stubby little idiot like me whose only consistent physical quality is looking like crap and whose only consistent mental quality is being a moron.
So who the hell knows.
Anosmia Awareness Day 2013
Happy Anosmia Awareness Day, everyone!
For the second year in a row, an awareness day for the nose blind has been organized.
I’ve posted this video before, but it’s an awesome mini documentary and is obviously relevant to today.
asfajdfalkghaerfaiodf
WHY IS THIS SEMESTER STILL HAPPENING?!
You get this and only this today, because if I try to talk about anything of substance I’m going to have a panic attack.
You know it’s pretty bad when Michael’s screaming is actually calming. I think next time I’m correcting tests I’m going to write “YA DONE GOOFED, SON!” for every wrong problem.
Annnnnnnnnnd BLOG POST!
So I’ve come to realize something. Actually, this is something that I realized quite awhile ago, but it’s still relevant: statistics is very intuitive to me. Math is not.
I can’t recall any specific instances or anything like that, but it just seems like anything statistics-related has just made sense to me on some intuitive level that a lot of things in math do not. Even back when I was first starting (like back in STAT 251), I felt like I had a more intuitive grasp on stats.
It’s like…I can explain why some elements in a variance/covariance matrix cannot be larger than someother values and it makes intuitive sense to me, but I can’t (at the same intuitive level) explain what to do with the powers when I’ve got something like (52)8.
Blah. I don’t know. I know that’s a crappy example, and it makes it hard to explain to people why I teach statistics but am still only in calc II.









