October – 2010 – Parkzer.com – Parkzerʼs Official Website

Hi humans.

You should check out this random article that I wrote for LiquidPHP:

http://liquidphp.net/content/i-still-remember-how-breathe

No, that is not at all relevant to what LiquidPHP is about, but the LiquidPHP home page wasn’t updated for almost 11 months, so I decided that today would be a good day to take action.

Leave me a comment on that page saying something random of your own.

Update: I just realized that you have to sign up for LiquidPHP’s Drupal to be able to leave comments, so I guess you don’t HAVE to leave a comment.

Second Update: I just realized that the LiquidPHP website is down, so in case that happens again but you still want to read my post, here it is:

I Still Remember How to Breathe
Hi humans.
The LiquidPHP website has been pretty dormant for a long time (meaning, nothing new has been posted since late 2009), so I decided to finally log in to this home page management thing and actually put something up on the website.
Tip of the Day: It doesn’t matter how many alarms you set on your cell phone if it runs out of battery overnight.
Anyway, are we all ready for a calculus lesson? Let’s learn about triple integrals and their relationship with integrals of other orders. We all obviously know that a standard integral finds the two-dimensional area under a particular curve. Bringing that up an order, a double integral finds the three-dimensional volume under a particular plane. So a triple integral must find something four-dimensional under a particular volume.
If you don’t know already, the fourth dimension is time. Obviously, we cannot represent time itself on a (theoretically and conventionally) two-dimensional piece of paper, similar to how we cannot represent depth (the third dimension) on a sheet of paper. However, we found an easy work-around to this – draw a graph on a sheet of paper in a way that we can mentally visualize the third dimension, namely, drawing a third axis and pretending it goes into and pops out of the paper.
So to represent the fourth dimension, or time, on a sheet of paper, we would have to draw multiple versions of the same graph as it changes over time. Simply put, if our time range was ten seconds and we wanted to represent a function of three variables in units of seconds, we would have to draw ten separate three-dimensional graphs, each of them depicting what the function looks like at each interval of one second.
Now that we can depict the actual graphs of the functions, we have a general idea of how we can solve them. All integrals come with two bounds, and these two bounds are necessary for finding out what two volumes we need to draw. Once we have these two volumes based on the bounds, we need to find the time it took for the volume to change from the lower bound to the upper bound based on the constraint of the function that relates area, volume, and time.
Of course, not everyone living in the third dimension (which, I’m assuming, is everyone that’s reading this) can necessarily picture that well enough to get an idea of how to find the integral, so we have a method of solving triple integrals into iterated integrals which represent each variable independently.
Consult your local calculus professor if you have any questions, and thanks for attending lecture today.
—
Adam Parkzer

In other news, I plan on spending eight hours tonight from 6 PM to 2 AM catching up on homework that I’ve been procrastinating on for the past week, so I will most likely be unavailable between those hours.

And finally, this is a new must-see music video by Bo Burnham for his comedy song Oh Bo. Lauren Francesca is in it, if you need another reason to watch it.

http://www.youtube.com/watch?v=dcLFmN7aJe0

That’s all, bye humans.