All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...
In a recent write-up, [David Delony] explains how he built a Wolfram Mathematica-like engine with Python. Core to the system is SymPy for symbolic math support. [David] said being able to work with ...
Here’s what you’ll learn when you read this story: The majority of plants have leaves, petals and seed structures in spirals that follow the Fibonacci sequence, meaning each sequence is the sum of the ...
Allan Brooks never set out to reinvent mathematics. But after weeks spent talking with ChatGPT, the 47-year-old Canadian came to believe he had discovered a new form of math powerful enough to take ...
President Trump is seeing a growing disapproval rating among Americans seven months into his second White House term, according to a Friday survey. The Economist/YouGov poll found that 40 percent of ...
Self-Play on Zero-Sum Games Incentivizes Reasoning via Multi-Agent Multi-Turn Reinforcement Learning
Recent advances in reinforcement learning have shown that language models can develop sophisticated reasoning through training on tasks with verifiable rewards, but these approaches depend on ...
This octagonal wooden stick has a spiral drawn around it which is divided lengthwise to form two adjacent spirals. Numbers in each spiral begin at zero and increase clockwise going down the stick. The ...
Here we make explicit the connection between subscript notation in mathematics and indices in Python. In mathematics: Say we have a collection of objects X. We can refer to individual elements of the ...
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