Recent content by aleph_0

Yes, you've shown that f' is not continuous, but that's all that you've shown! In general, a function may be continuous, may even be differentiable, but then the derivative of the function need not be continuous or differentiable. This can happen fairly easily, in fact, when you go defining...

Homework Statement An image of the assigned problem is here: http://imgur.com/aYkaM Homework Equations The formula for being exponential, gamma, and probably Bayes's Law. They'd take a while to type out, and presumably anyone who can help me with this already knows the formulas or...

Also, yes, a low p-value could mean that your observation was lucky or rare assuming that the null hypothesis is true. However, when your p-value is very small, you tend not to believe that the answer is that the observation was lucky or rare. Because that small p-value is based on the...

Well yes, the p-value is a probability; but a probability of what? Without answering that, you'll be lost. The p-value of a statistic is the probability that the null hypothesis is true when you reject it. Focus on the fact that it is related to the probability that the null hypothesis is...

OH MY GOD that was the perfect answer! So clear, so simple. THANK YOU! (Part of this is general excitement about learning a concept; the other part is too much coffee.)

So I don't get the concept of specific heat. I'm doing an ODE problem and I've never even looked at science, not even in high school. The book defines the specific heat of a substance as: The ratio of the quantity of heat required to raise the temperature of a unit of substance by one degree...