3,056 research outputs found
The point of maximum curvature as a marker for physiological time series
We present a geometric analysis of the model of Stirling. In particular we analyze the curvature of a heart rate time series in response to a step like increment in the exercise intensity. We present solutions for the point of maximum curvature which can be used as a marker of physiological interest. This marker defines the point after which the heart rate no longer continues to rapidly rise and instead follows either a steady state or slow rise. These methods are then applied to find analytic solutions for a mono exponential model which is commonly used in the literature to model the response to a moderate exercise intensity. Numerical solutions are then found for the full model and parameter values presented in Stirling
In the House but out of the Household? Why Congress Needs to Codify a Substantial Support Test for Courts to Use When Calculating a Debtor’s Household Size
Article published in the Michigan State University School of Law Student Scholarship Collection
Capacity of elements of Banach algebras
As its name suggests, this thesis is an account of the recent
theory of the capacity of elements of Banach algebras. The first
chapter contains a summary of the background theory, other than
fundamentals, used, and consists mainly of perturbation theory of
linear operators and certain properties (Jf strictly singular
operators. This chapter relies heavily on the work of T„ Kato, both
in his own papers and the book by S. Goldberg "Unbounded Linear
Operators".
Chapter 2 introduces the notion of capacity, following Halmos in
his paper "Capacity in Banach algebras", and several small new results
are proved, and counterexamples given, to tidy up "loose ends". The
question of the capacity of the sum of two quasialgebraic elements
(i.e. ones with capacity zero) is raised, and a partial solution
given. The perturbation theory of Chapter 1 is applied to show the
equality of the capacity of the spectrum and the Fredholn spectrum
of an operator on a Banach space, whence it is shown that if J is a
closed two-sided ideal of B(x) containing only Riesz operators, then
perturbation by an element of J leaves the capacity invariant; this
is true, in particular, for compact operators. A converse theorem is
proved for Hilbert space,
Chapter 3 introduces the new concept of the joint capacity of
an r-tuple of elements cf a commutative Banach algebra, and develops
the theory of this notion, Much of the theory parallels, xn a weaker
form, that of the original concept, but there are significant
differences. Finally, a perturbation theorem, similar to the
original one is proved for the joint capacity
Effect of copper fungicide on Colletotrichum gloeosporioides and other microorganisms on avocado leaves and fruit
An investigation into the effect of copper fungicide on non-target microorganisms on avocado (cvv. Hass and Nabal) showed that populations of filamentous fungi, yeasts, and bacteria on leaves were at least 10-fold less after a single application of copper than on unsprayed leaves. This detrimental effect of copper on microorganisms on the phylloplane was confirmed in random samples collected from 5 commercial avocado orchards with regular pesticide spray programs but where isolated unsprayed trees were also available. An intensive 16-month study was carried out on 2 adjacent orchards, 1 that was sprayed with copper fungicide at monthly intervals from October to April each year, and the other that had not been sprayed for at least 6 years. Populations of filamentous fungi, yeasts, and bacteria on leaves and fruit were 10–100-fold lower in the sprayed orchard than in the unsprayed orchard. However, populations in the sprayed orchard recovered during the winter non-spray periods to levels comparable to the unsprayed orchard. In 1993 and 1994, fruit were harvested from both orchards, ripened, and assessed for anthracnose caused by Colletotrichum gloeosporioides. In both years, there was significantly less disease in unsprayed fruit (mean disease rating 1.13 and 0.32, respectively) than in sprayed fruit (mean disease rating 1.83 and 2.18, respectively). These results show that copper fungicide is detrimental to phylloplane microorganisms and suggest that those organisms are providing some natural suppression of C. gloeosporioides on avocado
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