John Marriott, a student of Prof. Monique Chyba, will defend his doctoral dissertation on September 5.
Abstract
This work addresses the contrast problem in nuclear magnetic resonance as a Mayer problem in
optimal control. This is a problem motivated by improving the visible contrast in magnetic resonance
imaging, in which the magnetization of the nuclei of the substances imaged are first prepared by
being set to a particular con figuration by an external magnetic field, the control. In particular we
examine the contrast problem by saturation, wherein the magnetization of the first substance is
set to zero. This system is modeled by a pair of Bloch equations representing the evolution of the
magnetization vectors of the nuclei of two di fferent substances, both influenced by the same control
field.
Graduate student Rintaro “Yoshi” Yoshida will defend the degree of Ph.D. on Thursday May 2, 2:00pm, in Keller 301.
We invite the reader to consider the entire function
$$\varphi_{_{1/5}}(x) = \sum_{k=0}^\infty \frac{x^k}{(k!)^{(6/5)}}.$$
Do you think this function has any non-real zeros? Does it belong to the Laguerre-Pólya class? See the draft dissertation for answers.
Graduate student Kayleigh Hyde will present her Master’s project on Monday April 22, 10:30am, in Shidler College of Business Room E201.
Let $M$ be a nondeterministic finite automaton, having $q$ states and no $\epsilon$-transitions. If there is exactly one path through $M$ of length $n$ leading to an accept state, and $x$ is the string read along that path, then we say that $A_N(x)\le q$ (the NFS complexity of $x$ is at most $q$).
