
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 
What is 0 to the power of 0?
13 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 
Lockdown Math #1: The simpler quadratic formula
7 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 
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 
This equation (the logistic map) will change how you see the world
11 votes 
Big Data+Small Bias << Small Data+Zero Bias
5 votes 
2019 in review: The year in math and computer science
6 votes 
Neutrinos lead to unexpected discovery in basic math
18 votes 
Where Theory Meets Chalk, Dust Flies  A photo survey of the blackboards of mathematicians
6 votes 
The intuitive Monty Hall problem
9 votes 
42 can be written as the sum of three cubes, which was the last remaining unsolved case under 100
17 votes 
Girls’ comparative advantage in reading can largely explain the gender gap in mathrelated fields
16 votes 
A molecular near miss
7 votes 
The math of Emil Konopinski
7 votes 
It's the Effect Size, Stupid  What effect size is and why it is important
9 votes 
Ancient Babylonian astronomers calculated Jupiter’s position from the area under a timevelocity graph
7 votes 
What's the story with log(1 + 2 + 3)?
5 votes 
The Subtle Art of the Mathematical Conjecture
6 votes 
Why the world’s best mathematicians are hoarding chalk
27 votes 
A Quick and Dirty Introduction to Exterior Calculus (Stoke's Theorem)
6 votes 
A New Approach to Multiplication Opens the Door to Better Quantum Computers
7 votes 
Higher Homotopy Groups Are Spooky
6 votes 
A common misconception is that the risk of overfitting increases with the number of parameters in the model. In reality, a single parameter suffices to fit most datasets
@lopezdeprado: A common misconception is that the risk of overfitting increases with the number of parameters in the model. In reality, a single parameter suffices to fit most datasets: https://t.co/4eOGBIyZl9 Implementation available at: https://t.co/xKikc2m0Yf
5 votes 
Mathematicians Discover a More Efficient Way to Multiply Large Numbers
15 votes 
Overview of differential equations
4 votes