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When artificial intelligence systems began cracking previously unsolved mathematical problems, the academic world faced an ...

The loudest black hole collision ever recorded has just given Einstein’s theory of general relativity its hardest test so far. The event, dubbed GW250114, produced a record-smashing signal-to-noise ...

Abstract: The capacity-achieving input distribution of non-coherent Rayleigh fading channels is known to be discrete, and this result is refined in several ways. First, a detailed analysis is provided ...

This is a small collection of formally verified junk theorems provable in Lean 4 + Mathlib that, in my experience, are quite surprising and upsetting to mathematicians who are not familiar with type ...

Abstract: Multiple Adaptive Linear Neuron network is a three layer neural network. Weights of this network are considered to be bipolar fuzzy sets. In Bipolar fuzzy MADALINE neural network, binary and ...

This is a port of Vampire 10 to macOS on Apple Silicon (arm64). Vampire is an automatic theorem prover for first-order logic, originally developed by Alexandre Riazanov and Andrei Voronkov. This ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Last year, astronomers were fascinated by a runaway asteroid passing through our solar system from somewhere far beyond. It was moving at around 68 kilometers per second, just over double Earth's ...

Start by setting the counter to the middle position in the list. If the value held there is a match, the search ends. If the value at the midpoint is less than the value to be found, the list is ...

A lot of information is stored on our computers. Without this information our computers wouldn't work. Some types of information stored on our computers include: Computers store information in their ...