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.

Abstract: With the rapid development of technology, computer technology plays an increasingly vital role across various fields, including education. Python, a high-level programming language, has a ...

When you think of learning another language, you probably think of French, Spanish, or Chinese. But what about Python or Java? The two processes might be more similar than you'd think. A recent study ...

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 ...

ABSTRACT: We explore the performance of various artificial neural network architectures, including a multilayer perceptron (MLP), Kolmogorov-Arnold network (KAN), LSTM-GRU hybrid recursive neural ...

While we have the Python built-in function sum() which sums the elements of a sequence (provided the elements of the sequence are all of numeric type), it’s instructive to see how we can do this in a ...

Spicing up Algebra I class isn’t easy, and getting students to check their answers can be especially challenging. However, introducing short Python programs to check answers is easy and fun, and your ...

ABSTRACT: We primarily provide several estimates for the heat kernel defined on the 2-dimensional simple random walk. Additionally, we offer an estimate for the heat kernel on high-dimensional random ...

Numina has announced the release of its latest model, NuminaMath 7B TIR. This advanced language model is designed specifically for solving mathematical problems. The model boasts 6.91 billion ...