Author Archives: The Mathematician

Q: What is Bayes’ rule and how do I use it to improve my life?

Mathematician: Bayes’ theorem in one of the most practically useful equations coming from the field of probability. If you take its implications to heart it will make you better at figuring out the truth in a variety of situations. What … Continue reading

Posted in -- By the Mathematician, Equations, Math, Probability | 4 Comments

Q: Is there an equation that determines whether a question gets answered on ask a mathematician/physicist?

Mathematician: Yes, but neither the Physicist nor I know it, and its shortest representation in standard mathematical notation is much too long to ever be written down. More precisely, there are an infinite number of such equations. These equations “exist” … Continue reading

Posted in -- By the Mathematician, Philosophical | 3 Comments

Q: What are integral transforms and how do they work?

Mathematician: If you have a function f(x) and a function k(x,s) then you can (as long as the product of f(x) times k(x,s) is integrable on the set X) always form another function of a new variable s as follows: … Continue reading

Posted in -- By the Mathematician, Engineering, Equations, Math | 6 Comments

Q: Is 0.9999… repeating really equal to 1?

Mathematician: Usually, in math, there are lots of ways of writing the same thing. For instance: = = = =   As it so happens, 0.9999… repeating is just another way of writing one. A slick way to see this … Continue reading

Posted in -- By the Mathematician, Equations, Math | 27 Comments

Q: How do I estimate the probability that God exists?

Mathematician: Before jumping into this question, it is important to realize that probabilities are not objective, observer independent quantities. We can think of the claim that a particular outcome will happen with a probability of 0.30 as meaning (loosely speaking) … Continue reading

Posted in -- By the Mathematician, Philosophical, Probability, Skepticism | 18 Comments

Q: How do you calculate 6/2(1+2) or 48/2(9+3)? What’s the deal with this orders of operation business?

Mathematician: Now that the Physicist and I have answered questions like these ones at least 9 times via email, I figure we should get this horrible topic out of the way once and for all with a short post. The … Continue reading

Posted in -- By the Mathematician, Conventions, Math | 17 Comments