During the past three years an examination constructed by Dr. C. B. Read, head of the mathematics department of the University of Wichita, has been given to 597 students as the final examination in beginning statistics ...

The Hopf Conjecture states that for closed, orietable, even-dimensional manifolds, the Euler characteristic is strictly positive. Results due independently to P uttmann and Searle [13] and Rong [14], and due to Rong and ...

Work-related musculoskeletal disorders (WMSDs) are the top workplace risk factors that impact the health of workers. In Kansas, there were 45,253 reported injuries/illnesses during the 2020 fiscal year. The main contributors ...

We present an overview of mathematical models for electrons and holes in semiconductors. We use these to pose some inverse problems for determining the doping profile of a semiconductor. We establish the solvability of ...

For a vector random field that is isotropic and mean square continuous on a sphere and stationary on a temporal domain, this paper derives a general form of its covariance matrix function and provides a series representation ...

Let $ℳ_0^n$ be the class of closed, simply connected, non-negatively curved Riemannian n-manifolds admitting an isometric, effective, isotropy-maximal torus action. We prove that if $M \in ℳ_0^n$ then M is equivariantly ...

We are proposing two separate problems from order restricted inferences. The rst is a one-sided test for stochastic ordering of two distribution functions that protects against false positive conclusions because of model ...

This dissertation considers homogeneity test for comparing multivariate normal populations with generalized order restricted alternative hypothesis. The framework in this dissertation presents a generalized multivariate ...

One of the greatest challenges for neutrino experimentation is understanding the potential uncertainties in the collected data and models that are used for the Monte Carlo simulations. The neutrino-nucleus hadronic cross ...