
13 votes

How the slowest computer programs illuminate math’s fundamental limits
8 votes 
Imaginary numbers may be essential for describing reality
5 votes 
Sounds of the Mandelbrot set
8 votes 
You could have invented Homology, part 1
6 votes 
A picture of Graham's Number
6 votes 
Why do Biden's votes not follow Benford's Law? Debunking an election fraud claim
24 votes 
Calculus explained and illustrated
6 votes 
Understanding hyperbolic geometry by illuminating it
3 votes 
The universal geometry of geology
10 votes 
Proving that 1=2, Bob Ross style
6 votes 
Decoding the mathematical secrets of plants’ stunning leaf patterns
6 votes 
Neutrinos lead to unexpected discovery in basic math
11 votes 
The complete idiot’s guide to the independence of the Continuum Hypothesis: part 1
9 votes 
How eugenics shaped statistics
9 votes 
Measuring the size of the Earth
3 votes 
How storytellers use math (without scaring people away)
4 votes 
What is 0 to the power of 0?
13 votes 
What is math? A teenager asked that ageold question on TikTok, creating a viral backlash, and then, a thoughtful scientific debate
12 votes 
I learned how to do math with the ancient abacus — and it changed my life
9 votes 
A math problem stumped experts for fifty years. This grad student from Maine solved it in days
19 votes 
There are fortyeight regular polyhedra
8 votes 
Terry Tao on what makes good mathematical notation
4 votes 
Division by zero in type theory: a FAQ
4 votes 
Why do prime numbers make these spirals?
12 votes 
Noneuclidean geometry explained
4 votes 
The Monty Hall problem
22 votes 
Does anyone have resources for an introduction to semidefinite programming?
I'm interested in the subject, but don't know where to begin investigating it. I tried to look over the code for SeDuMi, but it is much more massive than I had realized. I have a background in...
I'm interested in the subject, but don't know where to begin investigating it. I tried to look over the code for SeDuMi, but it is much more massive than I had realized. I have a background in mathematics, if anyone can point me towards a textbook.
5 votes 
Bertrand Russell’s infinite sock drawer
8 votes 
A neat introduction to representation theory and its impact on mathematics
5 votes 
A surprising Pi and 5
3 votes 
Against Set Theory (2005) [pdf]
11 votes 
An inmate's love for math leads to new discoveries: published in the journal Research in Number Theory, he showed for the first time regularities in the approximation of a vast class of numbers
8 votes 
At the limits of thought: Science today stands at a crossroadswill its progress be driven by human minds or by the machines that we’ve created?
3 votes 
Predictability: Can the turning point and end of an expanding epidemic be precisely forecast?
7 votes 
Periodic functions
Does there exist a function that does not include any trigonometric function in its definition that has similar properties (periodicity, for instance) as trigonometric functions? I can't think of...
Does there exist a function that does not include any trigonometric function in its definition that has similar properties (periodicity, for instance) as trigonometric functions? I can't think of any, and this strikes me as a bit surprising.
Edit: I thought of a simple answer: piecewise functions can achieve this!
6 votes 
COVID19 kills renowned Princeton mathematician, 'Game Of Life' inventor John Conway in three days
26 votes 
Volume of a sphere
5 votes 
A parallelogram puzzle
3 votes 
Linear Algebra Done Right  free electronic version
9 votes 
Extraordinary conics: The most difficult math problem I ever had to solve
6 votes 
Exponential growth and epidemics
9 votes 
Landmark computer science proof cascades through physics and math
6 votes 
Real Numbers  Why? Why not computable numbers?
Do we have any mathematicians in the house? I've been wondering for a while why math is usually focused around real numbers instead of computable numbers  that is the set of numbers that you can...
Do we have any mathematicians in the house? I've been wondering for a while why math is usually focused around real numbers instead of computable numbers  that is the set of numbers that you can actually be computed to arbitrary, finite precision in finite time. Note that they necessarily include pi, e, sqrt(2) and every number you could ever compute. If you've seen it, it's computable.
What do we lose, beyond cantor's argument, by restricting math to computable numbers? By corollary of binary files and therefore algorithms being countable, the computable numbers are countable too, different from reals.
Bonus points if you can name a real, noncomputable number. (My partner replied with "a number gained by randomly sampling decimal places ad infinitum"  a reply as cheeky as the question.) Also bonus points for naming further niceness properties we would get by restricting to computables.
I've read the wikipedia article on computable numbers and a bit beyond.
10 votes 
17 Klein Bottles become 1  ft. Cliff Stoll and the glasswork of Lucas Clarke
12 votes 
Fair dice (part 1/2)
4 votes 
The Ideal Mathematician
6 votes 
This is the (co)end, my only (co)friend
6 votes 
Mathematicians prove universal law of turbulence
9 votes 
Russian and Egyptian multiplication
5 votes