This paper gives an overview of the role of ambiguity in measurement and explores analytical methods for exploring its impact.
It is argued that certain functional forms are more resilient than others to problems of ambiguity, and that these should
be preferred when ambiguity is a serious concern.
We give a new characterization of simple sets of polynomials B with the property that the set of B-multiplier sequences contains all Q-multiplier sequences for every simple set Q. We characterize sequences of real numbers which are multiplier sequences for every simple set Q, and obtain some results toward the partitioning of the set of classical multiplier sequences.
Authors:J. Verba, J. Sunier, B. Wright, I. Slaus, A. Holman and J. Kulleck
The technique of trace element analysis by the detection of characteristic X-rays induced by high energy proton bombardment
is critically examined. A discussion of the restrictions imposed by detector resolution is made, the behavior of the cross-section
for X-ray production as a function of energy and atomic number is discussed. The effect of this behavior upon analysis time
is demonstrated. Background is discussed in terms of its effect on the total counting rate. The use of a silicon solid state
detector to determine the overlappingK-lines of light elements andL-lines of heavy elements is shown to have severe limitations. A combination of crystal monochromators and solid state detectors
is suggested as a means to circumvent some of the fundamental limitations encountered with a single detector. An experimental
arrangement for the use of twenty-four crystal monochromators and two solid state detectors is shown.