In this paper, we derive some new symmetric properties of 𝑘-Fibonacci numbers by making use of symmetrizing operator. We also give some new generating functions for the products of some special ...

Google is adding a new feature to its artificial intelligence (AI) chatbot, Gemini. Announced on Wednesday, Gemini can now connect to GitHub repositories and perform several coding tasks. These ...

As the competition in the generative AI space grows fiercer, OpenAI is upgrading its text-generating models while reducing pricing. For example, function calling can help to create chatbots that ...

Annals of Mathematics, a distinguished journal of research papers in pure mathematics, was founded in 1884. Annals of Mathematics is published bimonthly with the cooperation of Princeton University ...