Posts Tagged ‘hlf’
In the Pursuit of Perfect
There are a set of numbers that seem intrinsic to the world, so linked to other important sequences, that they seem to hold an almost spiritual significance. These numbers are those whose proper divisors (i.e. all the positive divisors excluding itself) sum to the original number. These are the aptly named Perfect Numbers. Read more
But What Do You MEAN?
If you ask someone their favourite number, most people will have an answer. It might be the date of their wedding, it could be a number with pleasing symmetry (I have always liked 8), or cultural significance. Very few people, however, will have a favourite average, and most would be slightly baffled at the question.
So, I am on a mission. I want to make sure that not only does everybody have a favourite average, but also that everyone knows about the deep ecosystem of different means, and how they relate to one another. Read more
Mathematicians’ New Best Friend?
A recent blog post highlighted three Spark Session talks at the 12th Heidelberg Laureate Forum that focused on the potential for a new era of superhuman AI capabilities through AI self-improvement and interaction with the real-world environment. Here, we discuss the thoughts of human mathematicians on the prospect of ‘superhuman AI mathematicians’ impacting their field. Read more
When the Stochastic Parrot Spoke for Itself… and Flew Away
The latest versions of popular chatbots are shedding their reputation as
stochastic parrots and demonstrating skills far beyond their training data such
as self-improvement and original problem-solving – and in the process exposing
the potential for a new era of superhuman AI capabilities. Read more