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26 votes
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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 -
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, non-computable 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 -
Happy Universal Palindrome Day!
19 votes -
Big data+small bias << Small data+zero bias
5 votes -
2019 in review: The year in math and computer science
6 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 -
Winners of the 2020 Breakthrough Prize in Life Sciences, Fundamental Physics and Mathematics announced, awarding a collective $21.6 million
5 votes -
Girls’ comparative advantage in reading can largely explain the gender gap in math-related fields
16 votes -
A molecular near miss
7 votes -
The math of Emil Konopinski
7 votes -
A mathematician has resolved the Sensitivity Conjecture, a nearly thirty-year-old problem in computer science
24 votes -
It's the Effect Size, Stupid - What effect size is and why it is important
9 votes -
What's the story with log(1 + 2 + 3)?
5 votes -
Penrose, a platform to create diagrams just by typing mathematical notation in plain text
6 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 -
Even after thirty-one trillion digits, we’re still no closer to the end of pi
18 votes -
It’s time to talk about ditching statistical significance
19 votes -
The sideways tide
4 votes -
The math that tells cells what they are
5 votes -
Pictures of Ultrametric Spaces, the p-adic Numbers, and Valued Fields
10 votes -
All the numbers
7 votes -
Heesch numbers and tiling
7 votes -
Modern Arabic Mathematical Notation
15 votes -
Almost all polynomials are irreducible
13 votes -
All models are wrong
6 votes -
Randomness is random
8 votes -
A sci-fi writer and an anonymous 4chan poster advance a mathematical permutation problem
18 votes -
The Proof That Shook The World Had No Diagonals
7 votes -
Toroflux paradox: making things (dis)appear with math
5 votes -
Twenty questions (of maddening, delicious geometry)
9 votes