How gravity causes a perfectly spherical ball to roll down an inclined plane is part of the elementary school physics canon.

Lean Copilot allows large language models (LLMs) to be used in Lean for proof automation, e.g., suggesting tactics/premises and searching for proofs. You can use our built-in models from LeanDojo or ...

Our objective is to formulate this impulse game problem with the modified objective function including interaction costs among the players in a discontinuous fashion, and subsequently, to derive a ...

Pythagoras Theorem (also called the Pythagorean theorem) has been used from antiquity to modern times to solve practical problems in situations from surveying, construction and design that involve ...