Things Wolfram Alpha Does Better (And Vastly Different) Than Google
mashable.com
mashable.com
[1] http://www23.wolframalpha.com/input/?i=sixteen+miles+per+hou...
Edit: And hitting "Show details" for a breakdown.
height Empire State Building divided by average height human
= 235
height Empire State Building divided by height human
Fails
a billion light years / average height human * (1/9) furlong / age universe = 1.01 c (speed of light)
Very neat.
You own a machine that returns a meaningful number for "height Empire State Building" and "height average male". In less than a second. And which will perform floating-point division for you, at the press of a few keys. And you're vaguely unhappy because you can't do it all in one step!
Now I know how Hans Bethe (acknowledged grandmaster of the slide rule, who routinely computed logarithms in his head) must have felt when he heard the young grad students comparing the features on their scientific calculators.
I wonder if tools like Wolfram Alpha will eventually succeed in doing for Fermi problems what Google did for Trivial Pursuit: Turning an activity that was formerly regarded as a touchstone of intelligence into a typing exercise. Estimating the number of piano tuners in Chicago will be a lot less impressive when you can just type "piano tuners in Chicago" into a text box and get the answer back to within a decimal place.
Fortunately, right now typing "piano tuners in Chicago" into Alpha just makes Javascript crash in Safari, so I guess we humans can sleep soundly for a while longer. ;)
When Wolfram Alpha starts solving word problems, time to start worrying. Not about machines rebelling, but about cheating in grade school math classes.
Working physicists call this 'dimensional analysis' and it's pretty much the foundational skill of theoretical physics.
What makes it particularly important in theoretical physics? Is it "foundational" because equations become unintuitive?
But once you get into using quantum field theory to study new systems, the standard approach is to concoct a conservation of energy equation by summing terms, where each term is a combination of the system's variables with units of energy.
From there, you can discretize the coordinates and predict the existence of various particles (or pseudo-particles, depending on what kind of system you're describing) and their dynamics.
my guess is nobody will really get what you mean until they actually try to learn QFT, huh. I'll revisit your comment in a few years.
http://www.cs.utexas.edu/users/novak/cgi/physdemo.cgi
It's no Wolfram|Alpha, but it solves word problems fairly well.
What is the area of a circle with radius "2x"
yields 3.1415926535897931 * 2x^2 which is obviously incorrect. Alpha on the other hand doesn't give a result unless simplified to area of a circle with radius (2x)
where it gives a nonsensical display alongside the fact that 4pi is about 12.5664. Evaluated area = pi * radius^2 giving AREA = 3.1415926535897931 * 2x^2
That description makes it obvious that a pair of parentheses are the only thing lacking.And look what it found: http://screencast.com/t/8Z66EsDoz
Sneaky! So is google going to be the new way to search WA? ;)
This is wrong because of weaknesses in query parsing/explaining. I tried out Archimedes's sand-reckoner problem (how many grains of sand it takes to fill the solar system); it rephrased my query as "planets volume / volume of a small grain of sand" (which sounds reasonable) and gave an answer off by 17 orders of magnitude, taking "planets volume" to be the volume of the median-sized planet among all the planets. Its query explanation didn't link to any explanation of "planets volume", so I had to make that a separate query to find that out.
They could solve this problem with a better interface to its understanding of your query.
volume of all planets / volume of a grain of sand
and I got a graph going back to 1994 of: (the trading volume of Allstate stock)
* (volume of all planets in the solar system)
/ (volume of a grain of sand)volume of planets / volume of a grain of sand gets the desired result
I tried "9 * average (planet volume) / average(volume of a grain of sand)" now but that's not working either.
Yowch.
or "planets volume / volume of grain of sand"
I can't wait for the API to be released so that all the Hackers out there can do things Mr. Wolfram hasn't imagined yet.
For example, for financial entities, you get a drop-down menu choice of Fundamentals, Ratios, Balance sheet and so on - but you can't specify these in a query. Eg: http://www94.wolframalpha.com/input/?i=nike+Ratios gives you the fundamentals, not the ratios.
But you can pick one of the ratios, and get a comparison (couldn't get this to work before): http://www94.wolframalpha.com/input/?i=return+on+equity++nke...
Very curious how they built that kind of press coverage. I'm sure they hired a good PR firm, but still.
(It's scary how much I've become fascinated by marketing issues lately. Am I turning into a sales/marketing person?! I'll be the only marketer who VCs his emacs extensions in a git repo...)
When you ask for the time in an arbitrary location, like Irkutsk, Russia: http://www31.wolframalpha.com/input/?i=time+in+irkutsk Alpha returns a "Clocks" view of your location and the location you typed in.
The challenge: Find a query to show the clock view for two arbitrary locations.
...And then post it here, because I'm stumped.
Here's Smoots per fornight in cubits per leap year http://www65.wolframalpha.com/input/?i=smoots+per+fortnight+...
VAT In Europe - Nope.
Value Added Tax in Europe - Nope.
Result: 0% = 0/2
http://www88.wolframalpha.com/input/?i=the+answer+to+life,+t...