Showing posts with label mathematics. Show all posts
Showing posts with label mathematics. Show all posts

Friday, October 24, 2014

The Most Beautiful Route from A to B

This is such a refreshing idea!

http://www.technologyreview.com/view/528836/forget-the-shortest-route-across-a-city-new-algorithm-finds-the-most-beautiful

It's a navigation app, much like Google Maps, but it takes users on the scenic route -- a welcome change.

I'll first caveat that for the most part, efficiency is a very good thing. When it comes to governments, corporations, public transportation -- it behooves the administrators to optimize for efficiency. But when it comes to the individual, there are many situations when one misses opportunities and inspiration by taking the most conventionally efficient route.

As a New Yorker, I'm the first to acknowledge that some of our subway stations, for example, are not up to scratch when compared with those in other cities. But there's an uncommon beauty to some of the cityscapes I've had the fortune to encounter in my years here. This is a view of an approaching train coming down the tracks, on a typical subway platform in the city:


And this is an evening view of the iconic Flatiron Building:


I'm a believer in stopping to smell the roses once in a while. I've had some of my best ideas while walking alone through the city, or people-watching from the window of a café, or even in a hot shower on a cold day. I find that beauty begets beauty, just as cunning design or sound judgment often prompts the same. The benefits of walking in beauty are often unseen and manifest subtly, so such pursuits are overlooked in the bustle of our lives. It's a shame, and I hope this algorithm helps users inject a little colour into their lives.

Thursday, December 26, 2013

BBC: Royal Pardon for Alan Turing (Finally!)

Two days ago, fifty-nine years after he was driven to suicide by discrimination and the overwhelming solitude of misunderstanding, Alan Turing finally received a royal pardon for violating the so-called "gross indecency" laws of his time:

http://www.bbc.co.uk/news/technology-25495315

Though his downfall was perhaps not as well-publicized and posthumously noted as that of Oscar Wilde in the century before his, it was no less a travesty for humanity. (And to think that society had not budged an inch on homosexuality between 1900 and 1954!) Turing was one of the finest cryptanalysts in history, as well as one of the founding fathers of modern computer science, and he was just forty-one years old when he died. One can't help but wonder what great and wonderful things he might have accomplished in his later years had he lived.

I am reminded, somewhat, of the story of Johnny Gunther, immortalized in his father's memoir Death Be Not Proud. Gunther was another extremely promising young man who died even younger, as a teenager, after a valiant struggle with brain cancer. Untimely "early" deaths, like those of Turing, Wilde, and Gunther seem especially tragic because of the injustice of the situation (particularly with Turing and Wilde, whose deaths were entirely preventable) and the abruptly curtailed possibilities of their later lives. Entirely due to human stupidity and prejudice, Turing was never afforded the opportunity to reach his full potential. I can only imagine, for a person brimming with ideas, curiosity, and the drive to contribute meaningfully to the sum of human knowledge, to hold in his hand the poisoned apple and think that such an exit was preferable to the future that lay before him...

The royal pardon is too little, too late, but at least some six decades later, we recognize and regret the human cruelty that hounded Alan Turing to his death, and move forward as a society with an awareness that we did not have before.

Saturday, October 5, 2013

Statistics, Demographics, Music, Art

Last night, I went to Vienna Teng's concert at the Highline Ballroom with Brett, who was in town this week. Vienna's touring her new album, Aims. Her sound in this record is rather different from her earlier work -- it's louder, more electronic, more contemporary. But it's still the Vienna we all know and love, and it's not the first time she's tried something new (see "Grandmother Song" and "Radio" from her previous album, Inland Territory).

One of the aspects of Vienna the songwriter that I admire is how she incorporates a wonderfully diverse array of experiences, abstract concepts, and places into her work. One never forgets that she's a true renaissance woman -- she just finished up a dual degree in business and environmental science (one of her passions is environmental sustainability), and she was a computer scientist out of Stanford undergrad. Aims's album artwork, for example, is quite inspired -- it's a population density map of Detroit:


It makes the demographics/stats/sociology nerd in me really happy. I've always loved maps -- centuries-old ship's maps, star charts, subway maps, hilariously inaccurate classical and medieval maps (like those inspired by Herodotus, for example), Tolkien's maps... (The maps room is probably the coolest underrated exhibit in the Vatican Museums compound.) Maps that convey information beyond mere geography, like this one, are even better.

On the subject of demographics... I can't wait until The Signal and the Noise comes out in paperback! It's another case of excellent concept meets brilliant cover design (the art department at Penguin has turned out some really thoughtful covers these few years; Moonwalking with Einstein and The Painted Boy come to mind):


I get the sense that Vienna must have read some Nate Silver, and not just because she's an intelligent, multi-talented person with a mathematical brain and two advanced degrees. This occurred to me while listening to two particular songs on the Aims album, "In the 99" and "The Hymn of Acxiom." The former includes the phrase "said the signal to the noise" -- while the phrase (or a variation thereof) didn't originate with Nate Silver, Vienna does use the line in a song about social (im)mobility and economic stratification. "The Hymn of Acxiom" was, more obviously, inspired by Acxiom, a marketing/advertising company that compiles databases of personal information. It's actually rather creepy how much it knows about us -- Vienna even said as much when she was introducing the song. (Just a year and a half ago, she'd said in an interview that she was trying to figure out how to merge the worlds of music and sustainability -- I suppose she found it!) Even in her Inland Territory days, one could sense from her music that she was highly aware of, and engaged with, the social context in which she was writing (see "Stray Italian Greyhound," inspired by the 2008 presidential election, and "No Gringo," a commentary on the illegal immigration issue). 

The first step to addressing any issue is understanding it -- which is especially difficult with broad, longterm problems like climate change, food security, infectious diseases, &c. I particularly admire people like Vienna Teng and Nate Silver because they're not necessarily on the front lines, not really within the system or calling the shots, but they've nonetheless found ways to achieve great things in fields that they love and simultaneously contribute to our understanding of how our world works and how we might face the challenges of living in it. (Vienna's taken the approach of having two mostly separate careers, music and sustainability, that inform each other; Nate Silver has found an innovative way to apply his expertise, quantitative analysis, to a largely unrelated field.) Interestingly -- and I'm sure it's no coincidence -- all of these areas deal with multitudes, the masses, the People.

One of the great advantages of civilization, which elevates homo sapiens above non-sentient species, is our ability to consider and attempt to solve problems which affect humanity as a whole, as opposed to merely dealing with issues that affect our genetic kin and the small populations we interact with regularly. We're capable of viewing our species (and indeed, our world) as collectively valuable -- even the pieces we can't see -- and of thinking in the big picture, in the long-term, in lightyears rather than miles and millennia rather than mere decades. We acknowledge that which is greater than the individual, the genetic, even the human, and embrace the possibility that comes with it. (I am one, but I am of the many, and my words, actions, ideas may one day sway the multitudes, whether they know it or not.)

Saturday, March 16, 2013

Cover-a-Week #10: "Finite Simple Group (of Order Two)" by Klein Four

For Pi Day (slightly belated), I decided to cover a math-themed song, by the extremely nerdy a cappella group Klein Four...


http://youtu.be/d1TzNJhrM98

The shirt was one of the more useful nerdy gifts I've received. The armwarmers are my own handiwork; they have separate little sleeve-like protrusions for the thumbs. One trick for knitting armwarmers: if you don't want to decrease and increase the circumference (as the wrist is thinner than the elbow and the hand), knit vertical ribs, which naturally scrunch up.

Friday, April 13, 2012

Wednesday, March 14, 2012

Happy Pi(e) Day, or, Things I Have Baked This Year

In honor of Pi Day, I thought I'd post the list of stuff I've baked thus far. (I love having a kitchen!) Many of these were done at Midnight Pie (after Friday Night Waltz). Midnight Pie is an event I first cooked up (no pun intended) last quarter. Because there were several weeks where I was unable to attend FNW due to midnight paper deadlines, I invited friends over for post-waltz pie instead. It became A Thing last quarter, and less so this quarter, but I'm really hoping to bring it back.

Anyhow, the list:

apple pie (x6)
blackberry-pear pie
blueberry-blackberry pie
chocolate chip cookie scones (they were meant to be cookies, but came out more like scones)
apple-banana-walnut pie (x2)
pumpkin pie (x3 -- twice with canned pumpkin, once with fresh pumpkin)
gingerbread
cranberry macadamia chocolate chip cookies
"apple" pound cake with strawberry jam and green icing
potatoes

One of these things is not like the others.

Note: most of these (the pies, at least) are modifications of recipes given me by my dear friend John, who's much better at all of this than I am.

Friday, November 18, 2011

Physics from Hell

Speaking of Galileo:



It's quite fascinating how this entire body of mythology developed as a way of rationalizing a historical document in light of scientific advances over the course of centuries. It led to some pretty interesting literalist interpretations, as shown above. (Obviously, Biblical literalism yielded some rather significant results, mostly through its loss of scientific credibility. Ironic, but not surprising.)

Wednesday, August 18, 2010

The Most Efficient Way to Mow a Lawn (article)

A whimsical, fun article on how to mow one's lawn in the most geometrically efficient way possible:

http://realestate.msn.com/listarticle.aspx?cp-documentid=25152485>1=35000

As was mentioned, we don't take particular care of our lawn (especially in the back), but my parents engage the local troupe of mowing-people (if there is a technical term for such, I don't know it) once a year in the spring. I wish they wouldn't; the mowing-people are rather careless with flowers, and have chopped the blooms off our daffodils every year since I've been in high school. I wouldn't mind if the yard were overgrown with weeds and wildflowers and sprawling hedges taller than I am -- I would rather enjoy the Secret Garden-esque feel of it, methinks. It's a pity my mother likes things neat, and that both my parents are afflicted with varying degrees of hayfever.

Tuesday, May 4, 2010

NYTimes: The Mathematics of Mattress-Flipping

http://opinionator.blogs.nytimes.com/2010/05/02/group-think/?hp

I'm henceforth going to think of this every time I move a mattress. And living in a college dormitory, I'd say the occasion does arise.

Saturday, May 1, 2010

NYTimes: Geek Love


The diagram is from this New York Times article:

http://www.nytimes.com/2008/03/09/opinion/09rogers.html?pagewanted=all


This amuses me so much, if only because it is actually rather accurate. I confess that I am a geek (Confess? No, I proclaim!), with all that it entails. I know many people for whom many of the above details hold true, (myself being one of them).

NYTimes: The Big Bang Theory (review)

I don't often watch television, but this is something I would enjoy:

http://www.nytimes.com/2010/04/27/science/27bang.html?hpw

I saw one episode on YouTube a long time ago, and it was wonderfully funny. Nerds! On television! Being nerdy!

Ahem. That is all.

Nature by Numbers


Nature by Numbers from Cristóbal Vila on Vimeo.

Even -- or especially -- in science, there is beauty. (I am reminded of this xkcd comic.)

It irks me when non-scientists assume that scientists have no appreciation for nature or art. Knowing how something works does not automatically decrease one's respect for it; rather, a true understanding of how complex and unlikely our world is makes it all the more wondrous. (Read some Feynman. He illustrates this point beautifully.) As an occasional creative writer, I'd say that analogously, knowing how a book is written doesn't diminish my respect for authors; it instead allows me to appreciate both the finished work of art and the author's mastery of the craft. Knowing exactly how difficult something was to achieve enhances one's appreciation of it.