5 papers
Critical convergence and Hausdorff measures for generalized Flint Hills series
Yuya Dan
We study the generalized Flint Hills series for and . An explicit comparison with a series over continued-frac…
How a Chatbot's Response Style Shapes a Classroom: A Multi-Agent Simulation of Students Consulting AI
Rin Tamai, Yuya Dan
Chatbots built on large language models (LLMs) are increasingly used as confidants. Tuned to satisfy users, they may answer with excessive empathy and affirmation that fosters depe…
Diffusion of Confidential Information on Networks
Yuya Dan
This is a natural generalization of the previous work by Dan, "Modeling and Simulation of Diffusion Phenomena on Social Networks," to appear in The proceedings of 2011 Third Intern…
Decay of scattering solutions to one-dimensional free Schrödinger equation
Yuya Dan
In this paper, we investigate the decay property of scattering solutions to the initial value problem for the free Schrödinger equation in . It becomes clear that the r…
Representation of One as the Sum of Unit Fractions
Yuya Dan
One is expressed as the sum of the reciprocals of a certain set of integers. We give an elegant proof to the fact applying the polynomial theorem and basic calculus.