A new proposal suggests that complexity increases over time, not just in living organisms but in the nonliving world, potentially rewriting notions of time and evolution. Researchers propose a law where entities are selected for richness in information enabling function, challenging traditional views and sparking debate about its testability and implications for understanding the universe.
Researchers have found that even seemingly random events, like the roll of a die, are governed by fundamental laws of physics. Their work provides further evidence for a long-held belief that the universe is fundamentally deterministic, even if it appears chaotic.
In essence, the study reinforces that the Boltzmann distribution isn't just *a* way to model randomness, it's *the* way to model truly independent random systems.
In essence, the study reinforces that the Boltzmann distribution isn't just *a* way to model randomness, it's *the* way to model truly independent random systems.
The quest to find the longest-running simple computer program has identified a new champion. It’s physically impossible to write out the numbers involved using standard mathematical notation.
An exploration of the function x^x, its properties, growth, complex behavior, inverse, derivative, integrals (Sophomore's Dream), and limited applications.
Mathematicians are making progress on a decades-old problem about the Fourier transform by using techniques from graph theory, revealing unexpected connections between these fields.
A connection between descriptive set theory and computer science has been discovered, allowing problems in one field to be rewritten and solved in the other by Anton Bernshteyn.
Problems in descriptive set theory (measuring infinite graph colorings) are mathematically equivalent to problems in distributed algorithms (efficient network coloring).
Problems in descriptive set theory (measuring infinite graph colorings) are mathematically equivalent to problems in distributed algorithms (efficient network coloring).
Researchers have refined the simplex method, a key algorithm for optimization, proving it can't be improved further and providing theoretical reasons for its efficiency.
A new paper by SFI Professor David Wolpert introduces a mathematically precise framework for the simulation hypothesis, challenging several long-standing claims and opening up new questions about simulated universes.
Mathematicians are using Srinivasa Ramanujan's century-old formulae to push the boundaries of high-performance computing and verify the accuracy of calculations.
Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms.
