The ‘Tired Photons’ Hypothesis The ‘tired photons’ hypothesis is in direct contrast to the Doppler hypothesis. It states that as photons travel through space, they experience collisions with interstellar...

# Category - Physics, Math

Interesting Physics and Math Stuff

Also see my – Problem Books for Pure Math, Physics and Mathematical Physics If you are looking for some of the most important, yet elegant math proofs, look no further than these two books. The first one – Proofs from the...

Under Construction Check out also Advanced Problem Books in Math and Physics and Rare Finds in Relativity Two prisoners have been accused of the same crime and are kept in separate rooms for questioning. If both confess to the...

I had a lot of trouble distinguishing between continuous and differentiable and analytic functions… Analytic An analytic function is a function that is smooth (in the sense that it is continuous and infinitely times...

Check out also – Problems In Advanced Math and Physics and Rare Finds in Special and General Relativity Every science buff has heard of the Twin Paradox. Movies have been made, books have been written, plots and sub-plots all...

Check out also – Problems In Advanced Math and Physics and Rare Finds in Special and General Relativity Why are complex numbers so useful in the natural sciences? Analyticity (harder to do without complex numbers) Analytic...

Suppose 82 students are enrolled in a college – offering only 4 courses. Suppose that each course has 3 sections – and a student can choose any one of three sections. Show that at least TWO students have to share a...

Let A be an open set. Show that if a finite number of points are removed from A, the remaining set is still open. Is the same true if a countable number of points are removed? Solution If we order the points removed from A, x1...

Binomial Random Variable – and Probability of SINGLE event happening more than once (multiple heads in a coin-toss etc.) Whenever you have a variable that can take on two possible values (flip of a coin for example), you...

See also ‘Single Event Probabilities’ The probability of a ‘joint’ event – e.g. drawing a white ball followed by two black balls (from a jar containing 7 white and 5 black balls) can be calculated using...