The conference paper titled “Introducing the MRB Constant: Convergence, Geometry, and Open Problems,” authored by Asst. Prof. Sajedeh NOROZPOUR from the Civil Engineering Department, has been published within the scope of the INTERNATIONAL 10th USBILIM APPLIED SCIENCES CONGRESS.
The study examines the convergence properties of a power series whose terms can be expressed as the nth root of n, from which the MRB constant arises through an alternating summation. Although this expression approaches one as the value of n increases, its non-uniform behavior plays a key role in the convergence characteristics of the series. The paper discusses conditions of uniform convergence to ensure analytical validity, presents geometric interpretations, and highlights open problems related to the proposed constant.
This work offers an original contribution to mathematical analysis and applied sciences by providing new insights into convergence behavior. Our department congratulates Asst. Prof. Sajedeh NOROZPOUR for this academic contribution.
