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Functions of Bounded Variation�and Rearrangements

Archive for Rational Mechanics and Analysis, 2002
The authors study the properties of the symmetric rearrangement \(u^*\) of a function \(u\) when \(u\) is of bounded variation in \({\mathbb R}^n\). Among these properties, the continuity and the approximate differentiability of \(u^*\) on the level sets \(\{u^*=t\}\) is investigated.
CIANCHI, ANDREA, N. FUSCO
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Variation of Green's Functions

Journal of Mathematical Physics, 1966
The variation of the Green's function of a linear differential operator is computed as the variation of an n-tuple integral with variable boundary. This generalization of Hadamard formula is shown to lead naturally to the method of ``invariant imbedding'' of R. Bellman.
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On the Total Variation of a Function

Canadian Mathematical Bulletin, 1981
There are a number of theories which assign to a function defined on the real line a measure that reflects somehow the variation of that function. The most familiar of these is, of course, the Lebesgue-Stieltjes measure associated with any monotonie function.
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Osteometric Variation and Function in Bats

Evolution, 1960
Since the most extensive and direct evidence of macroevolution, the fossil record of the vertebrates, consists almost entirely of skeletal and dental remains, quantitative studies of these systems are of special interest to the evolutionist. Students of continuous variation of the skeleton have amassed an imposing quantity of data over the past several
Robert S. Bader, John S. Hall
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Genetic variation in memory functioning

Neuroscience & Biobehavioral Reviews, 2002
On the basis of a review of the literature the contribution of genetic factors for individual differences in memory performance is discussed. Explorations of such influences on memory have just begun. Most of those studies that have been conducted in order to find a quantitative trait locus for memory have focused on ApolipoproteinE (ApoE). One form of
Nilsson, L., Nyberg, L., Bäckman, L.
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Seasonal Variation in Cardiovascular Functioning

Archives of Environmental Health: An International Journal, 1972
Ninety-three subjects were observed In a darkened soundproof room over 900 times at intervals off approximately. 10 weeks throughout two years. At conditions of essentially constant temperature and humidity throughout the year, blood pressures, heart rates, respiratory rates and skin resistance levels were recorded Monthly standard score means for each
R A, Schneider, J P, Costiloe
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Variational Bayesian functional PCA

Computational Statistics & Data Analysis, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Functional variation

1996
Abstract So far I have shown that despite the presence of pre-patterned and prefabricated segments, what characterizes CAR texts above all other features is their minimal degree of syntactic elaboration. As a result, the notion of obligatory context cannot be applied to the measurement of syntactic elaboration in this register because
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The variational functional

2002
In this chapter, we study finite dimensional approximation methods for Hamiltonian systems. In Section 1, we study the Galerkin approximation method for Hamiltonian systems. Then in Section 2 we define the functional corresponding to the general nonlinear Hamiltonian systems on the space L of square integrable periodic functions and study its basic ...
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Variational Functions in Open Systems

Annals of Physics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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