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.
Doctor Horrible's Sing Along Blog is an Internet only show you may have already watched and heard everything about. If you missed this somehow, its a musical by Joss Whedon (Buffy the Vampire Slayer, Firefly) staring Neil Patrick Harris as an aspiring super villian who can't get up the courage to talk to his laundromat crush. Its very funny, fairly geeky, and on the Internet so of course I've enjoyed it thoroughly and have some links to share. It surprised me how many blogs that I don't usually see posting the same things telling me about it: first on Eric's blog, then The Old New Thing, and even Penny-Arcade.
Dr. Horrible's again available online via Hulu with commercial interruption.
Check out the official fan site. They link to such things as the owner of Dr. Horrible's house. He had appeared on Monster House, a reality show about remaking people's homes like Monster Car or Pimp My Ride is about remaking folk's cars, and had his house turned into a evil scientist's lab. Consequently its a perfect fit for Dr. Horrible and in return the owner appears in one of the final scenes and in the credits as the 'Purple Pimp'. Apparently the purple suit is his. Also on his blog you can find out what's happened on that big chair that appears in the show. All I'll say about that is, good thing Neil Patrick Harris wears a lab coat while sitting on it.
At the recent Comic Con some attendees took video of the Dr. Horrible Comic Con panel (video clips contain spoilers) some of which I've grouped together. Besides the videos containing the creators and stars of the musical who are all hilarious (see Felicia Day's comment on twittering) there's also some excellent bits about a possible second installment and information on the impending DVD. To finish off this series of Dr. Horrible links check out this Venn Diagram of Felicia Day's work.
I got a FlickrMail from Emma J. Williams a bit ago saying that they wanted to use two of my photos in their Schmap San Francisco Guide online travel guide. So now you can see two of my vacation photos on the Westfield San Francisco Shopping Center Schmap page and the Hotel Diva Schmap page.
I think its wonderful that digital cameras are at the point where I really don't have to know much about their workings to produce a photo that's reasonable looking. And its thanks to Flickr and searchable tags that Schmap could find my photos. Since my photos on Flickr are all licensed under a Creative Commons license named Attribution-Noncommercial-No Derivative Works 2.0 Generic which only applies to non-commercial uses, Schmap, which is advertisement supported, kindly asked me if they could use my photos. I agreed to their license which was human readable and included wonderful stuff like I get in place attribution and the license is only applicable while Schmap makes their guide freely available online.
Previously I've only heard of folks having their flickr photos used without their permission so I'm glad to know that's not always the case. Or perhaps this is just Schmap's clever method of getting me to blog about them.