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Problem of the Week

Week of Oct. 8 2018

Friday, October 12, 2018

The Problem:​ An odd number of soldiers are stationed in a field in such a way that all the pairwise distances are distinct. Each soldier is told to keep an eye on the nearest other soldier. Show that at least one soldier is not being watched. Hint:​ Consider the function which maps each soldier to the nearest other soldier and consider the closest pair of soldiers. Solution:​ The claim is that this function is not onto. If it were it would also be one-to-one. The two closest soldiers would have to be mapped to each other, and because of the one-to-one property, they can be removed from further consideration, and the remaining pair of soldiers that are closest together must also be mapped to each other, and so on. But because there are an odd number of soldiers, there will be an unpaired soldier who cannot be mapped to anyone. This is a contradiction and shows that the function is not onto. Thus there is a soldier not being watched.

Federico Ardila Smiling

Mathematics Fall Kick Off Lecture

Monday, October 1, 2018

Professor Ardila works in combinatorics to other areas of mathematics and applications. He also strives to build joyful, empowering, and equitable mat…

Music Student Spotlight

Monday, October 1, 2018

Amanda Ezell spent this summer researching motivation and percussion pedagogy as a McNair Scholar, under the guidance of Dr. Jeffrey Malecki (Music De…

Unfolding Humanity Sculpture of a burning-man like structure

Burning Man Launch Party

Friday, September 28, 2018

A crew of two dozen USD students and alums, countless community members, along with five faculty have been working over the past eight months in creat…

Faculty Spotlight: Ryan Nestor

Friday, September 28, 2018

In June, Ryan Nestor earned the Doctor of Musical Arts Degree from the University of California, San Diego. His dissertation “This is not a Dril…

Adam Boocher, PhD, Smiling

Meet Adam Boocher, PhD

Friday, September 28, 2018

A word from Adam: I'm really excited to be joining USD! Ever since I was a college student, I knew that I wanted to work at a liberal arts co…

Faculty Spotlight: David Harnish

Thursday, September 27, 2018

Professor Harnish completed his year-long sabbatical in which he conducted fieldwork on Lombok, Indonesia (fall 2017) and taught on the Semester at Se…

Faculty Spotlight: Emilie Amrein

Thursday, September 27, 2018

Emilie Amrein traveled to Minnesota in late September to give invited talks on her research at the UMN and at UMN-Morris. She presented on diversity, …

Faculty Spotlight: Marianne Pfau

Thursday, September 27, 2018

Marianne Pfau is very excited to go on a concert tour to Italy Oct 2-12.  She will play principal oboe with the German Baroque Orchestra Il Trion…

Horn Masterclass with John Logan

Thursday, September 27, 2018

Dr. Malecki and Warren Gref, applied horn, had the privilege to host a horn masterclass with John Logan, professor at the Royal Conservatoire of Scotl…

New USD Drum Line

Thursday, September 27, 2018

Drs. Malecki and Nestor met members of the drum line before school started and got things off to a great start. The new line plays for home football g…

Music Faculty Spotlight: Christopher Adler

Wednesday, September 26, 2018

Christopher Adler once again worked as Director of Composition at the Nief-Norf Summer Festival  held for two weeks in June at the University of…

Dr. Victoria Christine Rodriguez

Get to Know Dr. Victoria Rodriguez

Monday, September 24, 2018

Dr. Victoria Christine Rodriguez is The Psychological Sciences' Diversity Post Doctorial Fellow. This past Spring Dr. Rodriguez was the keynote speake…

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