Huh. That graph is interesting. I wonder what the cause of that is. Would you mind linking to the data source so I can play with it? Hmm. That graph is number, not proportion, so I guess large changes in population would also aeffect that graph? Huh. That is an interesting graph, thank you! (Please do not interpret this ask as being critical, I'm just expressing interest.)

Anonymous

sure. As I said in the post, the source is World Bank Poverty Data. I must warn you that if you want to play around with it, the data is kind of a pain to use, as it appears to have been collected at different rates for different countries.

Also, yes, these are raw numbers, which means the rest of the world’s poverty-reduction has barely kept up with population growth…

So I went and looked at the World Bank Poverty Data, which was mentioned in the chart in the previous post, and made an up-to-datest, data-as-old-as-possiblest, version of that chart and.
uh.
(note: this is $1.25 in 2005 dollars corrected for inflation)(also note: there’s kind of no data at the beginning of the data set and also at the end and so I just kinda guessed that things were flat because I’m lazy, but, judging by this graph, the actual picture is probably even more dramatic :V)

So I went and looked at the World Bank Poverty Data, which was mentioned in the chart in the previous post, and made an up-to-datest, data-as-old-as-possiblest, version of that chart and.

uh.

(note: this is $1.25 in 2005 dollars corrected for inflation)
(also note: there’s kind of no data at the beginning of the data set and also at the end and so I just kinda guessed that things were flat because I’m lazy, but, judging by this graph, the actual picture is probably even more dramatic :V)

Got tagged in one of these things by aradial-symmetry, here goes:

URL: twocubes.tumblr.com
Names: Valerian, Val or V
Birthday: Oct 16
Gender: some nb thing with ‘she’ pronouns, I don’t know.
Sexuality: varies periodically in intensity
Height: tall
Current Time Zone: Pacific Standard Time
Time and Date: 22:43, August 30, 2014
Average hours of sleep I get each night: 7?
OTPs: Isbell Duality
Last thing you googled: Moonset next saturday.
Most used phrases: ”:V”, “idk”, “◠ω◠”, “~♥”.
Last thing you said to a family member: something along the lines of: “Moonset will be pretty late next saturday, so if you want to take advantage of the best observing conditions that night you’ll have to stay up late” (to my mom)
How many blankets I sleep under: 2-3
Favorite beverage: Tea. Particular kind varies, commonly earl gray, jasmine, or genmaicha.
First word that comes to mind: None?
Place that makes you happy and why: Math library when there’s nobody else there. idk, I’m just, better focused in there, it’s nice…
Last movie watched at the cinema: Guardians of the Galaxy
3 things you can’t live without: Math, this machine, oxygen 
Something you plan on learning:  A whole lot of general mathematics (I wanna know what a gelfand transform is, I need to get better at algebra, there’s some specific algebra things, I’m not good enough at complex analysis, some number theory, some smooth manifold stuff, wanna see some QM and some GR, that Glymour book that nostalgebraist recommended, some representation theory…) but most importantly: Category Theory.
A piece of advice for all my followers: Sometimes one wants to do things for reasons that are neither good nor bad. Do those things too.
You all have to listen to this song: The Knife ‘Heartbeats’ (Rex The Dog remix). Or maybe Missa Fukuma’s 砂時計 -View-? idk.
My blog(s): this one, some hoarded urls, blogs-for-the-purposes-of-testing, failed projects, my old url…

The following is a list of people I tagged to do this meme, and certainly not a bunch of people who @mentioned me in a copy of this meme pretending I tagged them to do it that I’ve edited into this post so that it looks like I did what I was supposed to and tagged at least ten people to do it:

twocubes:

bonus points if you can come up with some visualizations~

Actually, you know what? I’m going to explain this, because it’s a good example of a situation where symbolic reasoning is way more powerful than visual reasoning. So here goes:

The basic principle at work is that any series (an)n=1 can be written as the sum of the differences between its terms, so an = ∑an-an-1 (supposing by convention that a0=0)

In this particular case, we choose for an the sequence defined on the left of each of these. Noting that ∑nk=1 k = n(n+1)/2, we then have, for each exponent m, that (∑nk=1k)m = ∑nk=1 (k(k+1)/2)m - ((k-1)k/2)m.

The terms in the sum on the right, then, are just (k(k+1)/2)m - ((k-1)k/2)m, with m going from 2 to 7, but written in a more appealing way.

Thus, we have, in about three lines, a general formula for all of these, and the basic principle involved generalizes further, and can give you similar formulas for many many other sequences. Which is nice. Contrast this with either of the visualizations of the first of these, which are kind of hard to think up, and kind of hard to generalize from too. (Although, they are pretty, and I’m proud of having come up with one of them.)

—————

So what’s the point? This is actually a response to a number of reblogs of the visualization posts saying that visualizing things makes math easier. The point here is that, in this case, it’s much easier to do things symbolically than visually, and that finding a visualization is actually a much harder exercise here. Now, to be clear, this emphatically isn’t always the case; there are many places in mathematics where visual approaches are very often preferred, and that’s important too. But I would argue that, generally, it is desirable in mathematics to be able to jump back and forth from a visual approach to a symbolic one.

So, yeah, the visualizations are pretty, and thinking about them is fun, but, I just don’t want the visual fun we’re having to be at the expense of symbolic thinking. Symbolic and visual thinking work best together, and I would hope they would be friends to you too.