Monthly Archives: December 2011

Physics! #25 University Physics 4.3

Tweet4.3: Newton’s Second Newton’s second: Force is mass time acceleration. First, let’s get a basic understanding. I prefer to state the law this way: F = m(dv/dt). Verbally, that’s “Force equals mass times change in velocity.” Or, more succinctly “Force … Continue reading

Posted in Autodidaction, physics | 9 Comments

Discrete! #10: Discrete Mathematics and Its Applications 1.2 Problem Set B

TweetInteresting Problems in Section 1.2, Part B NAND and NOR As you might guess, there are lots of POSSIBLE logical operators in Discrete, beyond human-friendly ones like AND, OR, and XOR. As it turns out, they’re also quite useful. First, … Continue reading

Posted in Autodidaction, Discrete Math | 3 Comments

Calculus! #38: Early Transcendentals 3.5B

TweetDerivatives of Inverse Trigonometric Functions I don’t play a lot of video games (does saying “video games” make you sound old yet?)¬†anymore, but I like to think of learning new mathematical tools as “leveling up.” You’re not just gaining ability … Continue reading

Posted in Autodidaction, calculus | 4 Comments

Physics! #24 University Physics 4.2

Tweet4.2: Newston’s First Law Hooooo doggie! Now we’re getting to some good stuff. You’ve probably heard Newton’s First somewhere as “a body in motion tends to stay in motion, and a body at rest tends to stay at rest.” That … Continue reading

Posted in Autodidaction, physics | 2 Comments

Discrete! #10: Discrete Mathematics and Its Applications 1.2 Problem Set A

TweetInteresting Problems in Section 1.2 One of the neat things in this book is that they put new information in the problems. This is nice because it really encourages you to go through the problems to find all the cool … Continue reading

Posted in Autodidaction, Discrete Math | Leave a comment

Calculus! #37: Early Transcendentals 3.5A

TweetSection 3.5: Implicit Differentiation WOOP! Implicit differentation is actually one of the concepts that got me into the idea of textblogging. It’s something that completely baffled me the first time around because I didn’t really understand what a derivative was. … Continue reading

Posted in Autodidaction, Math | 2 Comments

Physics! #23 University Physics 4.1

TweetChapter 4: Newton’s Laws of Motion We’re getting to more fun stuff. So far, we’ve learned how things behave once in motion. Now, we get to think about why they behave that way. The crucial concept here is called “force.” … Continue reading

Posted in Autodidaction, physics | 6 Comments

Painting 4: Julius Robert Oppenheimer

TweetI kinda liked the crazy eyes after I got this far, so I didn’t fill them in. Biggest issue is I made his chin way too large. So, it looks like a merger between Oppenheimer and Indian Jones. That said, … Continue reading

Posted in painting | 3 Comments

Discrete! #9: Discrete Mathematics and Its Applications 1.2D

TweetWooh! We’re getting toward more fun stuff. Constructing New Logical Equivalences If you know how the “basic 4″ arithmetic operations work, you can make pretty much any rule about numbers you like. For example, you can show that -(-(x+1)) = … Continue reading

Posted in Autodidaction, Discrete Math | Leave a comment

Calculus! #36: Early Transcendentals 3.4B

TweetSo, now that you understand the chain rule, you can rederive some of the tricks you’ve already learned. The book gives a very cute proof of the fact that . But screw that, we’re onto bigger game. Let’s prove the … Continue reading

Posted in Autodidaction, calculus, Math | 3 Comments