Recent content by The Anomaly

Alright, that makes sense. I just wanted to make sure that I wasn't missing some obvious proof from precalculus. Thanks for the reply! EDIT: And for curiosity, when my Calculus book refers to advanced algebra (Not exactly for this example, but for others) are they referring to Precalculus...

I'm studying the Partial Fraction method of integration, and I believe I understand the fundamental idea of it. However, much of it is based on a rule that the book calls the Linear Factor Rule. It is the following: For each factor of the form (ax+b)m the partial fraction decomposition...

This is either a topic that is so blatantly obvious that it's ridiculous I'm saying it, or I'm missing something. From my limited physics knowledge, I know that absolute zero is a temperature in which the molecules are not moving whatsoever. In other words, it's the lowest possible...

Thank you for the responses, I see your points about the role of experimentation and definitions in mathematics. I'm afraid I don't fully understand how the potential fall off fits in. If you integrate 1/R, which is the field drop off, then clearly we have the natural logarithm we're...

HallsofIvy, thank you very much for your proof. I managed to follow and understand it, but I had a small, and somewhat trivial issue here: Basically, how'd you get from 1/2\le c\le 1 to ln(2)\ge 1/2? That is very helpful. Thank you for the explanation -- Just to add to all of this, I...

Alright, thanks for the answer. That's just what I wanted to know.

I know that there is a year old thread that has just been resurrected that is slightly on this topic, but I had a question that I thought might merit a new thread. I'm working with my Calculus book here, and I'm working on the chapter called, "Logarithmic Functions from the Integral Point of...

I'm new to this forum, and I am very excited to be a member of this esteemed community. Anyway, I've been reading the Journey Through Genius, by William Dunham, and I am truly loving it. However, I had a question about a statement in the text, and I thought I'd ask if you guys could help me...