Clyde F. Martin

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of the Department of Mathematics, are gratefully acknowledged. Special thanks are due Larry Sharp, who handled the many small details during the workshop, and also Wanda Sayer and Lynette Robinson, who cheerfully completed the almost impossible task of typing the manuscripts and rough drafts of the proceedings. PURPOSE AND APPROACH This seminar workshop was(More)
BACKGROUND Perchlorate and thiocyanate interfere with iodide uptake at the sodium-iodide symporter and are potential disruptors of thyroid hormone synthesis. Perchlorate is a common contaminant of water, food, and human milk. Although it is known that iodide undergoes significant diurnal variations in serum and urinary excretion, less is known about diurnal(More)
In this paper some of the relationships between optimal control and statistics are examined. We produce generalized, smoothing splines by solving an optimal control problem for linear control systems, minimizing the -norm of the control signal, while driving the scalar output of the control system close to given, prespecified interpolation points. We then(More)
In this paper, we study the human oculomotor system as a simple mechanical control system. It is a well known physiological fact that all eye movements obey Listing’s law, which states that eye orientations form a subset consisting of rotation matrices for which the axes are orthogonal to the normal gaze direction. First, we discuss the geometry of this(More)
Periodic smoothing splines appear for example as generators of closed, planar curves, and in this paper they are constructed using a controlled two point boundary value problem in order to generate the desired spline function. The procedure is based on minimum norm problems in Hilbert spaces and a suitable Hilbert space is defined together with a(More)