IBM has patented a method for using derivatives to find convergents of generalized continued fractions, a technique that dates back over 200 years. The implementation merely applies established number theory concepts in PyTorch, raising concerns about the validity of the patent given the existing mathematical knowledge. This patent could impact various fields that utilize continued fractions, including engineering and mathematics.

DeepMath-103K is a newly released dataset designed to enhance mathematical reasoning in language models, featuring a broad range of challenging and diverse math problems. It includes rigorous decontamination processes to ensure fair evaluation, with detailed problem structures that support various research applications. The accompanying models and code are open-sourced to facilitate further exploration and development in the field.