Abstract: A simplified analysis is performed on the Bode-type filtering sensitivity tradeoff integrals, which capture the sensitivity characteristics of the estimate ...

For most Class 12 students, Mathematics is the subject that decides their mood during board exams. Some enjoy the challenge, ...

Abstract: This paper gives an account of the nonlinear superposition principle for classes of nonlinear systems. The existence of a nonlinear superposition principle is ensured by a Lie algebraic ...

This is an important study on the sensory roles of Cerebrospinal fluid-contacting neurons (CBF-cn) in mammals. The authors identify PKD2L1 as the predominant pH-sensing channel CBF-cn and show how the ...

More than a century after Srinivasa Ramanujan scribbled his astonishing formulas for π in notebooks in India and England, ...

For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

Advanced calculus, linear algebra, probability, and finance tools for AI agents, exposed via the Model Context Protocol (MCP).

Modern LLMs are trained on massive amounts of data, but this data pales in comparison to the data a human child is ...