George Frank
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 Apr13 answered Concept of random sample? I have a truly problem understanding it. Mar12 answered Does randomness exist? Feb8 answered What do you suggest I do to prepare? Thanks In advance! Feb4 answered How to make sense of fractions? Jan21 answered What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) Jan9 answered What is a function? Dec29 answered Why are “imaginary numbers” imaginary? Oct4 answered Techniques to understand mathematics. What and how? Sep24 awarded Autobiographer Sep2 answered $\mathbb{C}$ and $\mathbb{R}^{2}$ Sep2 answered Taking Calculus in a few days and I still don't know how to factorize quadratics Aug28 answered What is the motivation for quaternions? Aug25 answered How should I self-study calculus? Aug5 comment Two dice thrown, one comes up 6 It's amazing how few people understand possible outcomes and conditional probability. Pre-kidney is exactly right: the answer is 1/11. Only if the dice were distinguishable, e.g., painted different colors, would the answer would be 1/6. Jul13 comment What exactly is a number? Oops, I forgot to mention quantity as measurement which uses units and leads to quantity as position and/or location, relative zero, fractions of various kinds, and vectors. And infinity as a sort of quantity. Quantity is physical and an amazing concept. Jul13 comment What exactly is a number? Yes. Numbers are precisely the names and shorthand notation that we give to quantities. Quantity is a much richer concept that mere counting. It is capable of direction and/or position as expressed in one dimension as signed numbers and in two dimensions as complex numbers and in all other dimensions though not nicely behaved in all. n-adic numbers are an interesting alternative way to represent negative numbers. Then, of course, there are myriad classes of numbers that are also called "numbers" such as prime numbers etc. Numbers can also be used as labels such as indicators of position etc. Jul11 answered About Trigonometry Jun13 comment What is the single most influential book every mathematician should read? An intelligent math major who got a PhD from Columbia took an entire year to get through just the first chapter with doing all the problems. A year! Long ago I tried and gave up. It is definitely not an innocent's book. May27 answered Why are integrals called integrals? May25 answered Are there any situations where you can only memorize rather than understand?