The octonionic eigenvalue problem

By using a real matrix translation, we propose a coupled eigenvalue problem for octonionic operators. In view of possible applications in quantum mechanics, we also discuss the hermiticity of such operators. Previous difficulties in formulating a consistent octonionic Hilbert space are solved by using the new coupled eigenvalue problem and introducing an appropriate scalar product for the probability amplitudes.Comment: 21 page

Prologue

This edition focuses on the need to cultivate scholarly learning communities. Education leaders can benefit from relevant research that may aid in keeping students and educators engaged. The editorial staff of JAEP is committed to creating spaces for topics that support scholarly inquiry

Bio-Ecology On A Mixed Prairie Near Hays, Kansas

A survey of the activity of wild animals in connection with range conditions and range management is greatly needed in western Kansas. To have a well-managed range one should have an understanding of the ecological factors which benefit or deplete the native vegetation that is essential for production of livestock. The impact of grazing, and the effect of changes in edaphic and atmospheric environment on the prairie have further emphasized the importance of a cover of grass in preventing erosion

A simple expression for the ADM mass

We show by an almost elementary calculation that the ADM mass of an asymptotically flat space can be computed as a limit involving a rate of change of area of a closed 2-surface. The result is essentially the same as that given by Brown and York. We will prove this result in two ways, first by direct calculation from the original formula as given by Arnowitt, Deser and Misner and second as a corollary of an earlier result by Brewin for the case of simplicial spaces.Comment: 9 pages, 1 figur

Radiation Damage of F8 Lead Glass with 20 MeV Electrons

Using a 20 MeV linear accelerator, we investigate the effects of electromagnetic radiation on the optical transparency of F8 lead glass. Specifically, we measure the change in attenuation length as a function of radiation dose. Comparing our results to similar work that utilized a proton beam, we conclude that F8 lead glass is more susceptible to proton damage than electron damage.Comment: 5 pages, 6 figure

Celebratin\u27 Day In Tennessee / music by Jack Glogau; words by Lew Brown

Cover: drawing of a floral Pattern; photo inset of Emma Carus; Publisher: Leo Feist Inc. (New York)https://egrove.olemiss.edu/sharris_c/1071/thumbnail.jp