In my Intro to Algorithms course in college the Fibonacci sequence was used as the example algorithm to which various types of algorithm creation methods were applied. As the course went on we made
better and better performing algorithms to find the nth Fibonacci number. In another course we were told about a matrix that when multiplied successively produced Fibonacci numbers. In my linear
algebra courses I realized I could diagonalize the matrix to find a non-recursive Fibonacci function. To my surprise this worked and I
found a function.
Looking online I found that of course this same function was already well known. Mostly I was irritated that after all the
algorithms we created for faster and faster Fibonacci functions we were never told about a constant time function like this.
I recently found my paper depicting this and thought it would be a good thing to use to try out MathML, a markup language for displaying math. I went to the MathML implementations page and installed a plugin for IE to display MathML and then began writing up my paper in MathML. I wrote the MathML by hand and must say that's not how its intended to be created. The language is very verbose and it took me a long time to get the page of equations transcribed.
MathML has presentation elements and content elements that can be used separately or together. I stuck to content elements and while it looked great in IE with my extension when I tried it in FireFox which has builtin MathML support it didn't render. As it turns out FireFox doesn't support MathML content elements. I had already finished creating this page by hand and wasn't about to switch to content elements. Also, in order to get IE to render a MathML document, the document needs directives at the top for specific IE extensions which is a pain. Thankfully, the W3C has a MathML cross platform stylesheet. You just include this XSL at the top of your XHTML page and it turns content elements into appropriate presentation elements, and inserts all the known IE extension goo required for you. So now my page can look lovely and all the ickiness to get it to render is contained in the W3C's XSL.
Sarah and I have finished playing through the games "Paper Mario", "Paper Mario: The Thousand-Year Door", and "Super Paper Mario" last week (including the various Pits of 100 Trials). We played them all on the Wii, because even though Super Paper Mario was the only one released explicitly for that platform, Wii maintains compatibility with Game Cube games such as Thousand-Year Door and Paper Mario although originally released for the Nintendo 64 is now available as a pay for download game on the Wii's Virtual Console. So, yay for Nintendo!
I think my favorite of the three is Thousand-Year Door mostly because of the RPG attack system. In Thousand-Year Door and Paper Mario when you come into contact with an enemy you go into an RPG style attack system where you take turns selecting actions. In Super Paper Mario you still have hit points and such, but you don't go into a turn based RPG style attack system, rather you do the regular Mario jumping on bad guys thing (or hitting them with a mallet etc...). Thousand-Year Door and Paper Mario are very similar in terms of game play but Thousand-Year Door looks very pretty and has made improvements to how your party-mates are handled in battle (they have HP and can fall as you would expect) and there's an audience that cheers you on during your battles.
Even if the gameplay sucked the humor throughout the series might be tempting enough. Mario's clothing and mustache are mocked throughout and standard RPG expectations are subverted. I hate to describe any of these moments for fear of ruining anything but, for instance, an optional and very difficult enemy who may only be killed after hours of work only results in one experience point, or a very intimidating enemy who you imagine you'll have to fight actually challenges you to a quiz.
Despite how I personally rank them, all the games are great and I'd recommend any of them.
sequelguy posted a photo:
A part of the cactus in Jesse, Pat and Grib's backyard.
More of my thoughts have been stolen: In my previous job the customer wanted a progress bar displayed while information was copied off of proprietary hardware, during which the software didn't get any indication of progress until the copy was finished. I joked (mostly) that we could display a progress bar that continuously slows down and never quite reaches the end until we know we're done getting info from the hardware. The amount of progress would be a function of time where as time approaches infinity, progress approaches a value of at most 100 percent.
This is similar to Zeno's Paradox which says you can't cross a room because to do so first you must cross half the room, then you must cross half the remaining distance, then half the remaining again, and so on which means you must take an infinite number of steps. There's also an old joke inspired by Zeno's Paradox. The joke is the prototypical engineering vs sciences joke and is moderately humorous, but I think the fact that Wolfram has an interactive applet demonstrating the joke is funnier than the joke itself.
I recently found Lou Franco's blog post "Using Zeno's Paradox For Progress Bars" which covers the same concept as Zeno's Progress Bar but with real code. Apparently Lou wasn't making a joke and actually used this progress bar in an application. A progress bar that doesn't accurately represent progress seems dishonest. In cases like the Vista Defrag where the software can't make a reasonable guess about how long a process will take the software shouldn't display a progress bar.
Similarly a paper by Chris Harrison "Rethinking the Progress Bar" suggests that if a progress bar speeds up towards the end the user will perceive the operation as taking less time. The paper is interesting, but as in the previous case, I'd rather have progress accurately represented even if it means the user doesn't perceive the operation as being as fast.
Update: I should be clearer about Lou's post. He was actually making a practical and implementable suggestion as to how to handle the case of displaying progress when you have some idea of how long it will take but no indications of progress, whereas my suggestion is impractical and more of a joke concerning displaying progress with no indication of progress nor a general idea of how long it will take.
I ordered a ThinkGeek Bluetooth Retro Handset to use at home. When I come home I plug my phone in to charge in my room, but then I can't hear it ring elsewhere in the hosue. The idea was to take this handset which wirelessly connects to cellphones via bluetooth and place it in another part of the house so that I can tell I'm getting an incoming call. The only issue I have with that setup is that it ringing isn't any louder than conversations held over the phone, that is, the ringing is a little quiet.
The handset pairs with cellphones in the same manner as any other handset over bluetooth. It has an internal rechargeable battery which is charged via a standard USB port built into the base of the handset and it comes with a USB cable. Next to the USB port is the only button on the phone which is pressed to answer a call, hang up a call, or begin voice dial, held down to turn the handset on and off, and held down longer to begin pairing with a cellphone. There's a blue LED in one of the holes in the microphone portion of the phone which blinks to indicate if its on or trying to pair. Transitioning between on, off, and pairing produces a cute sound and a change to the LED.
Overal I'm pleased with its simplicity and use of common parts although I wish there was a way to adjust the volume of the ring.
I signed up for the pre-release beta and purchased a Chumby last year. Chumby looks like a cousin to a GPS unit. Its similar in size with a touch screen, but has WiFi, accelerometers, and is pillow like on the sides that aren't a screen. In practice its like an Internet alarm clock that shows you photos and videos off the Web. Its hackable in that Chumby Industries tells you about the various ways to run your own stuff on the Chumby, modifying the boot sequence (it runs Linux), turning on sshd, etc, etc. The Chumby forum too has lots of info from folks who have found interesting hacks for the device.
When you turn on the Chumby it downloads and runs the latest version of the Chumby software which lets you set alarms, play music, and display Flash widgets. The Chumby website lets anyone upload their own Flash widgets to share with the community. I tried my hand at creating one using Adobe's free Flash creation SDK but I don't know Flash and didn't have the patience to learn.
Currently my Chumby is set to wake me up at 8am on weekdays with music from ShoutCast and then displays traffic and weather. At 10am everyday it switches to showing me a slide-show of LolCats. At 11pm it switches to night mode where it displays the time in dark grey text on a black background at a reduced light level so as not to disturb me while I sleep.
I like the Chumby but I have two complaints. The first is that it forces me to learn flash in order to create anything cool rather than having a built-in Web browser or depending on a more Web friendly technology. The second complaint is about its name. At first I thought the name was stupid in a kind of silly way, but now that I'm used to the name it sounds vaguely dirty.
I've setup a minimal search page that uses a Yahoo Pipe to sort of search through my content. I say sort of search because I only get full text search over my recent item feeds and otherwise I just search over my tags.
To get real search I'm going to have to keep an archive of all my content on my own website. This is a pain but on the other hand it will let me easily backup my content or display old items on my page. Why didn't I just use a prebuilt solution?
C:\windows\system32\wscript.exe C:\users\dave\bin\xsltproc.js C:\Users\Dave\Documents\trunk\development\mce-zune\mce-to-podcast.xslt
C:\ProgramData\Microsoft\eHome\Recording\Recordings.xml --param title "The Daily Show With Jon Stewart" --param max 4 --param baseURI "http://groucho/" --param thisRelURI "tds.xml" -o
"D:\recorded tv\tds.xml"