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I have a Facebook account. I created it back in 2005 or 2006 when it was all the rage and like everyone else, I added everyone whose name I recognized as a friend, even if we had never even said 'hi' to each other in real life. I didn't bother with any apps or the photos or any of that nonsense as I was more interested in seeing what had happened to the people I used to go to school with. About six months into having an account however, I made a not-quite-surprising personal discovery: I didn't actually care what anyone I knew was up to. Their lives, their achievements, their fantastic around-the-world trips...it was all really meaningless and uninteresting. I stopped using Facebook on a regular basis. Despite my revelation I didn't delete my account as on rare occasions I would come across someone on Facebook that I'd actually want to talk to and catch up with, so it served its purpose. So why am I talking about Facebook today? Last week was my 33rd birthday. Out of my 108 Facebook "friends", 3 people wished me a happy birthday; one woman who is a friend of the family that I probably haven't seen in close to 20 years, one woman who I went to school with and haven't seen in over 15 years, and my sister. Now I don't really care whether or not people wished me happy birthday but the two non-family people who did wish me happy birthday (thank you, by the way) couldn't really be listed as my "friends", per se. In fact, we're really so disconnected that I could barely list them as acquaintances. So why did they wish me well when the reality is that I probably mean less than nothing in their lives? I suspect the reason is because Facebook told them it was my birthday and they felt compelled to wish me a happy birthday...they were caught up in a desire to participate in an event that has some social convention about well-wishing. And I suspect it is a similar force to the one that drives the public response to Jack Layton's death. Jack Layton was the official opposition party leader in Canada and he died on August 22nd from cancer and the truth is it didn't really phase or bother me one bit. I didn't know Jack Layton, I'm not friends with his friends or family and I have no affiliation to the NDP party (other than being on their emailing list for some reason). My life without Jack Layton is going to be the same as my life with Jack Layton, as it is with respect to the scores of other people who die on a daily basis but receive far less media coverage. I've found the public response to his death to be a rather strange social phenonmenon. Pictures of people crying on the streets, setting up makeshift memorials in random places, the Internet all aglow with comments about how he'll be missed, etc. It would make one think that Jack Layton personally saved the lives of everyone in Canada given the collective grief being displayed. By why is that grief there? The reality is that aside from whatever Jack did as a politician on the Toronto City council his biggest claim to fame is coming in second in the popularity contest known as the Canadian federal election. That's it. And the only reason I believe the NDP did so well was because the other three parties (Bloc, Liberal and PC) spent their entire campaigns slapping eachother around like the three stooges and everyone just got fed up with the childishness of it all. Preston Manning did the same thing with the Reform party back in 1997 and I doubt there'll be this much gnashing of teeth and rending of garments when he kicks the bucket. Finally, this is all about a political figure; Canadians can't be bothered to care about politics on a good day. I believe that the collective grief is there because our social media have played up his death as something that should affect us deeply. And like the salivating dogs they are, people have fallen into line and expressed emotion that they really wouldn't have unless told otherwise. The extreme emotion being outpoured is way out of scope for Jack Layton. He just wasn't that important of a person. Was he a decent human being? Aside from being a politician, maybe. I didn't know him. Was he an eloquent speaker? Absolutely. Was he more important than any of the other people who died on August 22nd and didn't get any media coverage. I don't think so. Despite my rather cold-heartedness regarding Jack's death, I won't deny its significance. It stands as a memento mori that even those whom we consider the most powerful cannot stop the inevitability of death. It also stands to illustrate the joke that our party-based political system has become. So many questions have been raised about the NDP's future without Jack yet nobody seems to have pointed out the fact that if so much was riding on one man then what is the point of the party? Should the NDP not be able to stand on its principles and platform regardless of which smiling face graces their billboards? Can mainstream media and, God forbid, the government ever finally admit that our elections are nothing more than popularity contests based far more on the likability of the party leader than the entire party doctrine itself? Seriously...in four years time if Justin Bieber ran as the leader of the Nazi Party of Canada we'd all be shouting "Heil Bieber!" the day after the election. We are that shallow of a people. But I'm not shallow. Just ask any of my 108 friends on Facebook.
To any mathematicians who stumble across this site I apologise in advance for my lack of proper terminology and absolutely no formal proofs; it's been over 10 years since I've had a calculus class and I couldn't even be classified as an armchair mathematician. There's a lot written online about how one can define a power function (e.q. squared, cubed, etc.) recursively, especially as an excercise in programmatic recursive function definition. All the sites I bothered to look at provide a recursive definition for a given power that goes something like this: xn = x * x(n - 1) These solutions all treat the problem of recursively calculating xn by changing the exponent. But what if we wanted to calculate a power of After very little thinking I came up with the following solution for squares: x2 = (x - 1)2 + 2(x - 1) + 1 To illustrate how it works, let's look at an example. Let's say that I know that 122 = 144, but I don't know what 132 is. I could simply do the multiplication, but let's use my formula instead: 132 = 122 + 2(12) + 1 = 144 + 24 + 1 = 169 This function works for any integer value of x, including 0 and negative integers. Pretty neat, eh? While I doubt this function has any value from a computing perspective, it does allow me as a human to quickly calculate a square if I know the square of the preceeding integer. Even if the numbers aren't right next to eachother but relatively close it may take less time for me to work my way from a known square to the desired one using my function rather than doing the multiplication outright (I'm not a quick multiplier in my head). For fun, I decided to see if I could come up with a similar function for cubes. After a little bit of trial-and-error I arrived at the following formula: x3 = (x - 1)3 + 3(x - 1)2 + 3(x - 1) + 1 Try the cubed formula out; it seems to work just as well as the square one with any integer, positive or negative. Comparing the two forumlae got me thinking; perhaps there's a general recursive formula for any exponent xn = (x - 1)n + i = 1Σi < n( n(x - 1)i ) + 1 ...and while it seems to work for squares and cubes, when I tried it for the 4th power I ended up with the resulting formula: x4 = (x - 1)4 + 4(x - 1)3 + 4(x - 1)2 + 4(x - 1)1 + 1 ...which doesn't work at all. In fact, trying it with a few small integers revealed that every answer the formula spat out was off by a power of 2. Doing it for x5 didn't work either. So perhaps some clever mathematician can comment here or email me directly and explain to me what the correct generic formula is (if one exists), or what my error in logic is with my attempt at a general formula. Given my busy schedule it's a miracle I had the time to devote this much thought on the subject.
Dear Mr. Schneider, In terms of subject matter, this letter is six years overdue. To start, I'd like to say that I'm not your biggest fan, but please don't take that statement as containing negative undertones. The truth is I'm not much of a celebrity-follower and really didn't become aware of your existence before The Hot Chick. I do know that I am not an Adam Sandler fan as there's just something about his sense of humour or mannerisms that doesn't sit right with me, but the few times I've found myself sitting in front of one of his movies I've noticed your many cameos and enjoyed the bit parts you've played in them. I was disappointed when I sat through the lacklustre Just Go With It and did not see you in it. But this letter is not about Mr. Sandler or his films. It is about one of yours; the 2005 film Deuce Bigalow, European Gigalo. I was first introduced to your film in 2007 when I met my girlfriend. She is the sort of person who can't sleep unless there's a movie looping in the bedroom and Deuce 2 was in her top five list of "sleepy movies". The more I spent the night with her the more exposure I had to the film. After a few months I could recite the entire movie line for line. I guess sleep learning does work after all. Being an analyst (you can't spell "analyst" without "anal") I typically research every film I watch. I was quite dismayed to learn that the reviews for Deuce 2 were as negative as they were. When I finally saw Deuce Bigalow, Male Gigalo (which received much higher reviews) I was additionally confused as I thought the second movie was funnier. Of course the second movie had actual bare breasts in it (compared to only seeing Bree Turner's wet t-shirt in the first), so maybe that has something to do with it. I don't know, I'm a programmer, not a psychologist. All that being said, I will be the first to admit that the movie had some shortcomings. But unlike certain critics who simply dismissed your movie with "your film sucks", I've decided to try to offer some constructive criticism. I'm a software developer and I've had work I've done reviewed and while my work is typically well-received, the negative reviews are the ones that sting most and I've always appreciated those who take the time to offer suggestions for improvements. I recently watched Jamie Kennedy's documentary Heckler and I can appreciate that it must be even worse for an artist like yourself when the negative reviews get so much exposure. Of course the fact that I'm writing this six years after the film was released probably won't mean a whole heck of a lot but you seem like a really decent fellow and having enjoyed your movie over and over and over (and over!) again it only seems fair to try and give something back in return. I'm going to start off my review with a list of the aspects of the film I really liked, where the comedy was bang-on or the plot was simply brilliant. Then, rather than complain about stuff I didn't like, I'm going to give a list of things I felt would have improved or strengthened the story. I've never seen any of the deleted scenes or extended editions (if there are any), so maybe some of my ideas or questions are moot when those are taken into account. The Pros
The Not-So Pros
So that's my list. Take what you will from it or take nothing at all. Despite the fact that my not-so pro list is longer than my pro list Deuce 2 wasn't a bad movie and it's made me smile on many an occasion. So thank you, Mr. Schneider, for making the film. And if you ever find yourself in Winnipeg (though I can't possibly imagine why you'd come here) I'd be more than happy to have you over for dinner. I know celebirties are constantly hounded by regular schmucks like me to be funny or talk about their lives but if you'd like a change of pace I can certainly regale you with tales of my interesting existence; who knows, you might even want to make a movie of it. It's a bit of a dark comedy, though. Thank you for taking the time to read this and I look forward to your next film. Sincerely, Clayton Rumley, B.Sc.
Today I submitted my 3rd CodeProject article. It's about securely exposing asynchronous methods to client script from the code-behind page in ASP.NET websites. Of course, most of you probably won't understand a word of what I just said. That's ok. Here's some Cyanide & Happiness for you. ![]() Cyanide & Happiness @ Explosm.net
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