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 Jan 12 awarded Necromancer Sep 30 awarded Explainer Sep 26 awarded Yearling Jun 21 comment Joseph Kitchen's Calculus (reference) Thanks, Dave. I think the best evidence of performance of a given book is what kind of classes a student can take if they (i) had this as a required textbook in a calculus class, but did not put any effort, to (ii) put in an honest effort and learned everything this given book can teach, while being limited to but this book being the only one in their disposal. May 7 answered Evaluating the reception of (epsilon, delta) definitions Apr 26 comment Power Function for the uniform distribution See updated. Note that there are better, superefficient estimators of $\theta$ that beat MLE in this situation. Apr 26 revised Power Function for the uniform distribution defined power Apr 25 answered Manipulating inequalities and probabilities Apr 25 answered Power Function for the uniform distribution Apr 25 revised Power Function for the uniform distribution LaTeX formatting; homework tag Apr 25 suggested approved edit on Power Function for the uniform distribution Apr 25 comment Power Function for the uniform distribution Welcome to the site, and please learn some LaTeX -- this is impossible to read. Apr 25 comment If $X \sim N(0,1)$, why is $E(X^2)=1$? Hint to the hint: integrals like $\int x^2 \exp(-x^2/2) dx$ are addressed via integration by parts or differentiation by an artificial parameter: introduce $a$ into the exponent as $\exp( -a x^2/2)$, evaluate the integral, and take derivatives with respect to $a$. Oh, and statisticians hate the erf() function, it is on a wrong scale as it is does not correspond to the standard normal distribution. Apr 23 awarded Revival Apr 23 answered Joseph Kitchen's Calculus (reference) Apr 22 comment What should the high school math curriculum consist of? it throws error 404 -- can you please update the link? Apr 22 answered How to get a top-notch Math education (high school level) online? Apr 22 awarded Student Apr 22 comment Why doesn't this work? — The V.I. Arnold Primary School Problem (Two women started at sunrise…) You might need to consider geometric average rather than the arithmetic one here. That's what the speeds do when being averaged. While distances are the same, you have either time = distance / speed, so the speed goes to the denominator; or speed = distance / time, so the time goes to the denominator. By Jensen's inequality, you will be off with your arithmetic mean. Feb 13 awarded Commentator