The notion of a normal number and the Normal Number Theorem date back over 100 years. Émile Borel first stated his Normal Number Theorem in 1909. Despite their seemingly basic nature, normal numbers are still engaging many mathematicians to this day. In this paper, we provide a reinterpretation of the...
Efficient time-series analysis can impact multiple application domains such as motif discovery in gene analysis or music data, extracting spectro-temporal patterns in acoustic scene analysis, or annotating and classifying electrical bio-signals (such as ECG, EEG, and EMG) for medical applications.
Time-series analysis involves a variety of tasks.
To predict future...
O&E Magazine is published by Oregon State University Division of Outreach and Engagement to engage the people of Oregon in learning and discovery. In this inaugural issue of O&E magazine, we celebrate the centennial of OSU Extension and look forward to the next 100 years of outreach and engagement with...
In this dissertation, we begin by presenting the result of F. K. C. Rankin and Swinnerton-Dyer on the location of the zeros of the Eisenstein series for the full modular group in the standard fundamental domain. Their simple but beautiful argument shows that all zeros are located on the lower...
The OSU Perspective was developed to provide assessment and other information about our students and programs. We hope that by making this information available to OSU faculty and staff, we can stimulate conversation that helps to keep students and student learning at our core.
The Perspective is published quarterly both...
Full Text:
Volume 3Number3, May, 2005.pub
For further information
The OSU Perspective was developed to provide assessment and other information about our students and programs. We hope that by making this information available to OSU faculty and staff, we can stimulate conversation that helps to keep students and student learning at our core.
The Perspective is published quarterly both...
Full Text:
Volume 3Number3, May, 2005.pub
For further information
The height of an algebraic number A is a measure of how arithmetically complicated A is. We say A is totally p-adic if the minimal polynomial of A splits completely over the field of p-adic numbers. In this paper, we investigate what can be said about the smallest nonzero height...