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Monthly Archives: November 2011
Physics! #22 University Physics 3.5B
TweetRelative Velocity in 2D and 3D Okay, so in the last section I tried to get you a feel for relative velocity. As you get into higher dimensions, the “feel” won’t serve you as well as getting the math. So, … Continue reading
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Discrete! #9: Discrete Mathematics and Its Applications 1.2C
TweetLogical Equivalences Involving Conditionals So, we’re continuing on page 25 with the two charts at the top. p→q≡¬p∨q This one still fucks with my head, so I’m gonna linger on it a bit. Intuitively, you want to say “how can … Continue reading
Posted in Autodidaction, Discrete Math
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Calculus! #36: Early Transcendentals 3.4A
Tweet3.4: The Chain Rule Dun dun dunnnnnnnnnnnnnn. The chain rule. Much like when I have sex with your Mom, the chain is very important. The chain rule tells you how to deal with nested functions. What’s a nested function? Well, … Continue reading
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Physics! #21: University Physics 3.5A
Tweet3.5 Relative Velocity Man, I gotta admit – I think I understand relative velocity pretty well, but the way the book explains it gave me a headache. So, I’m gonna try to do this my own way. Relative Velocity in … Continue reading
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Discrete! #8: Discrete Mathematics and Its Applications 1.2B
TweetTruth Tables, Compound Propositions, and the Use of De Morgan’s Laws Here, on page 23, for the first time we see a truth table for NOT 1, NOT 2, but 3 propositions: p, q, and r. Let your eyes glide … Continue reading
Posted in Autodidaction, Discrete Math
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Calculus! #35: Early Transcendentals 3.3
Tweet3.3: Derivatives of Trig Functions The derivative of sinx is cosx. The derivative of cosx is -sinx. This leads you to a little 4 point circuit you can walk around whenever you take the derivative of one of these functions. … Continue reading
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Physics! #21: University Physics 3.4
Tweet3.4 Motion in a Circle Uniform Circular Motion First off, let’s define what we mean. By “circular” we just mean you’re traveling in a perfect circle. That is, you’re traveling in such a way that one side of your car … Continue reading
Posted in Autodidaction
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Discrete #7: Discrete Mathematics and Its Applications 1.2A
TweetSection 1.2: Propositional Equivalences Okay, now things start to get a little more interesting. In this section, we get the idea of propositional equivalence, which is pretty straightforward, and De Morgan’s Laws, which are a little trickier but very important. … Continue reading
Posted in Autodidaction
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Calculus! #34: Early Transcendentals 3.2B
TweetThe Quotient Rule In the last section I broke from form a little by actually working out the proof step by step. I may do this in the future again, but for this section I’ll leave it to the book. … Continue reading
Posted in Autodidaction
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Physics! #20: University Physics 3.3
TweetProjectile Motion BOOSH! Okay, so there’s a decent amount of math in this section, but it all relies on stuff you already know. You should make a good effort to understand it, but once again I’m going to try to … Continue reading
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