Comments on: Metafilter=(x-2)^2....
http://www.metafilter.com/89873/Metafilterx22/
Comments on MetaFilter post Metafilter=(x-2)^2....Sun, 07 Mar 2010 15:03:06 -0800Sun, 07 Mar 2010 15:03:06 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60Metafilter=(x-2)^2....
http://www.metafilter.com/89873/Metafilterx22
<a href="http://www.xamuel.com/inverse-graphing-calculator.php?phrase=metafilter">The inverse graphing calculator</a> is for when you absolutely need a function that spells your name.post:www.metafilter.com,2010:site.89873Sun, 07 Mar 2010 14:59:29 -0800blahblahblahgraphequationBy: milestogo
http://www.metafilter.com/89873/Metafilterx22#2982613
<a href="http://www.xamuel.com/inverse-graphing-calculator.php?phrase=O">why so complicated?</a>comment:www.metafilter.com,2010:site.89873-2982613Sun, 07 Mar 2010 15:03:06 -0800milestogoBy: (Arsenio) Hall and (Warren) Oates
http://www.metafilter.com/89873/Metafilterx22#2982624
And the ladies, they call me <a href="http://www.xamuel.com/inverse-graphing-calculator.php?phrase=henry+wadsworth+schlongfellow">((x-2)^2(x-4)^2(....</a>comment:www.metafilter.com,2010:site.89873-2982624Sun, 07 Mar 2010 15:16:33 -0800(Arsenio) Hall and (Warren) OatesBy: Lucubrator
http://www.metafilter.com/89873/Metafilterx22#2982626
Now there needs to be one that integrates all continuous functions.comment:www.metafilter.com,2010:site.89873-2982626Sun, 07 Mar 2010 15:20:15 -0800LucubratorBy: dirk gently
http://www.metafilter.com/89873/Metafilterx22#2982631
In my day we just let <a href="http://www.flickr.com/photos/the_brownhorse/2263542334/"> x = 5,318,008</a>.comment:www.metafilter.com,2010:site.89873-2982631Sun, 07 Mar 2010 15:24:15 -0800dirk gentlyBy: sciurus
http://www.metafilter.com/89873/Metafilterx22#2982639
This is awesome.comment:www.metafilter.com,2010:site.89873-2982639Sun, 07 Mar 2010 15:34:46 -0800sciurusBy: ardgedee
http://www.metafilter.com/89873/Metafilterx22#2982640
With that much math involved I was kind of hoping for serifs.comment:www.metafilter.com,2010:site.89873-2982640Sun, 07 Mar 2010 15:36:14 -0800ardgedeeBy: Green With You
http://www.metafilter.com/89873/Metafilterx22#2982656
(y^2-6y+8+sqrt(y^4-12y^3+52y^2-96y+64)^2 seems to be in every equation for some reason.comment:www.metafilter.com,2010:site.89873-2982656Sun, 07 Mar 2010 15:50:05 -0800Green With YouBy: dunkadunc
http://www.metafilter.com/89873/Metafilterx22#2982658
I'm not a huge math nerd, but wouldn't there be a way of spelling out a word using only one equation, where it's undefined between the letters?comment:www.metafilter.com,2010:site.89873-2982658Sun, 07 Mar 2010 15:51:27 -0800dunkaduncBy: DavidandConquer
http://www.metafilter.com/89873/Metafilterx22#2982668
i think this is bogus...
for example "X" should be very simple (essentially y=±x w/ a few tweaks)
and the equations in general make no stipulations of x,y boundaries to keep the "functions" from running off to infinity
so, color me skepticalcomment:www.metafilter.com,2010:site.89873-2982668Sun, 07 Mar 2010 16:00:50 -0800DavidandConquerBy: grimmelm
http://www.metafilter.com/89873/Metafilterx22#2982677
It doesn't generate "a "function" that gives Y a value for each X; it generates a <i>relation</i> between X and Y that's true only on the points spelling out the words you type in.comment:www.metafilter.com,2010:site.89873-2982677Sun, 07 Mar 2010 16:10:54 -0800grimmelmBy: battlebison
http://www.metafilter.com/89873/Metafilterx22#2982678
<em>I'm not a huge math nerd, but wouldn't there be a way of spelling out a word using only one equation, where it's undefined between the letters?</em>
That's what they're doing. It looks like many equations due to the line breaks and the bullet operators at the beginning of each line, but that's just to signify "the previous line multiplied by..." So despite your lack of being a huge math nerd, you are correct!comment:www.metafilter.com,2010:site.89873-2982678Sun, 07 Mar 2010 16:11:34 -0800battlebisonBy: Madamina
http://www.metafilter.com/89873/Metafilterx22#2982680
Ah, yes... calculator tricks. The only place where I am 8008L355.*
*<small>Boobless</small>comment:www.metafilter.com,2010:site.89873-2982680Sun, 07 Mar 2010 16:12:34 -0800MadaminaBy: Tau Wedel
http://www.metafilter.com/89873/Metafilterx22#2982686
<i>(y^2-6y+8+sqrt(y^4-12y^3+52y^2-96y+64)^2 seems to be in every equation for some reason.</i>
There's a good reason for that, but it's somewhat obscured by the odd way it's written. The full equation always has the form <i>a</i><sup>2</sup> + (y<sup>2</sup>-6y+8+sqrt(y<sup>4</sup>-12y<sup>3</sup>+52y<sup>2</sup>-96y+64))<sup>2</sup> = 0, where <i>a</i> is some complicated expression. This equation is satisfied if and only if both <i>a</i> and y<sup>2</sup>-6y+8+sqrt(y<sup>4</sup>-12y<sup>3</sup>+52y<sup>2</sup>-96y+64) are equal to 0. Some algebraic manipulation shows that y<sup>2</sup>-6y+8+sqrt(y<sup>4</sup>-12y<sup>3</sup>+52y<sup>2</sup>-96y+64) is equal to (y-4)(y-2) + sqrt( ((y-4)(y-2))<sup>2</sup> ), which in turn is equal to (y-4)(y-2) + |(y-4)(y-2)|. This expression is equal to 0 if (y-4)(y-2) negative or 0, and it is positive otherwise. And (y-4)(y-2) is negative or 0 if y lies between 2 and 4. So this term ensures that the equation has no solutions above or below the band where the text is written.comment:www.metafilter.com,2010:site.89873-2982686Sun, 07 Mar 2010 16:17:30 -0800Tau WedelBy: Rhomboid
http://www.metafilter.com/89873/Metafilterx22#2982693
<a href="http://www65.wolframalpha.com/input/?i=PolarPlot[(1+%2B+0.9+Cos[8+t])+(1+%2B+0.1+Cos[24+t])+(0.9+%2B+0.05+Cos[200+t])+(1+%2B+Sin[t]),+{t,+-Pi,+Pi}]">What, no love for polar coords?</a>comment:www.metafilter.com,2010:site.89873-2982693Sun, 07 Mar 2010 16:25:08 -0800RhomboidBy: tommasz
http://www.metafilter.com/89873/Metafilterx22#2982695
This could make great geek t~shirts but only for big people with short names.comment:www.metafilter.com,2010:site.89873-2982695Sun, 07 Mar 2010 16:25:56 -0800tommaszBy: empath
http://www.metafilter.com/89873/Metafilterx22#2982697
anybody have mathematica that can check this out?comment:www.metafilter.com,2010:site.89873-2982697Sun, 07 Mar 2010 16:28:03 -0800empathBy: Alexandra Kitty
http://www.metafilter.com/89873/Metafilterx22#2982707
Imagine all the swear words that could get lost in translation if someone is really bad in math...comment:www.metafilter.com,2010:site.89873-2982707Sun, 07 Mar 2010 16:38:06 -0800Alexandra KittyBy: little light-giver
http://www.metafilter.com/89873/Metafilterx22#2982708
We had to do a project similar to this in one of my high school math classes. I think the point was to use conic sections to draw a picture and then represent that picture as equations, or something to that effect. In other words, we were allowed to use more than one function. I was really into the Residents at the time and I drew an eyeball-head Resident wearing a top hat. I just remember thinking it was pretty badass to come up with equations to represent the bloodshot veins of a giant eyeball wearing a hat.comment:www.metafilter.com,2010:site.89873-2982708Sun, 07 Mar 2010 16:38:47 -0800little light-giverBy: delmoi
http://www.metafilter.com/89873/Metafilterx22#2982710
I thought this would be something that would let you draw and come up with an equation for.
Also it would be a lot simpler if they used a parametric plot an did cursive.comment:www.metafilter.com,2010:site.89873-2982710Sun, 07 Mar 2010 16:42:45 -0800delmoiBy: delmoi
http://www.metafilter.com/89873/Metafilterx22#2982714
Also this is less impressive when you realize that all the fonts you actually see on your computer all the time are done using <a href="http://en.wikipedia.org/wiki/B%C3%A9zier_curve">Bézier curves</a>, which are stored as parameters to mathematical formulas.comment:www.metafilter.com,2010:site.89873-2982714Sun, 07 Mar 2010 16:48:16 -0800delmoiBy: meinvt
http://www.metafilter.com/89873/Metafilterx22#2982768
I've always been happy enough with x=1337.comment:www.metafilter.com,2010:site.89873-2982768Sun, 07 Mar 2010 17:51:48 -0800meinvtBy: ianiacocca
http://www.metafilter.com/89873/Metafilterx22#2982971
Totally Nerdy. awesomecomment:www.metafilter.com,2010:site.89873-2982971Sun, 07 Mar 2010 21:22:00 -0800ianiacoccaBy: Sparx
http://www.metafilter.com/89873/Metafilterx22#2983117
<pre>x=53716</pre> in the language of upside-down calculators of the 70scomment:www.metafilter.com,2010:site.89873-2983117Mon, 08 Mar 2010 00:53:50 -0800SparxBy: 7segment
http://www.metafilter.com/89873/Metafilterx22#2983261
<i>It doesn't generate "a "function" that gives Y a value for each X; it generates a relation between X and Y that's true only on the points spelling out the words you type in</i>
OP never said "a function y of x" -- this remains a perfecly legitimate mapping of R<sup>2</sup> onto {true, false}. That puts it in the same function space as the Mandelbrot Set, if you think about it, which is kind of cool.
<small>Of course, also in this function space is simply <i>rendering</i> your name given any truetype font, but that's not as cool or nearly as cute.</small>comment:www.metafilter.com,2010:site.89873-2983261Mon, 08 Mar 2010 06:01:28 -08007segmentBy: treeshar
http://www.metafilter.com/89873/Metafilterx22#2983683
I love this.comment:www.metafilter.com,2010:site.89873-2983683Mon, 08 Mar 2010 11:10:40 -0800treesharBy: mcstayinskool
http://www.metafilter.com/89873/Metafilterx22#2984406
flagged as awesomecomment:www.metafilter.com,2010:site.89873-2984406Mon, 08 Mar 2010 16:55:35 -0800mcstayinskoolBy: jpdoane
http://www.metafilter.com/89873/Metafilterx22#2986072
<i>i think this is bogus...
for example "X" should be very simple (essentially y=±x w/ a few tweaks)
and the equations in general make no stipulations of x,y boundaries to keep the "functions" from running off to infinity</i>
<a href="http://www.xamuel.com/line-segment-equation/">Here </a>he explains how to make a line segment out of an equation without using inequalities. Letters and words are then just the sum of many such equationscomment:www.metafilter.com,2010:site.89873-2986072Tue, 09 Mar 2010 15:53:48 -0800jpdoane