Lower estimate of the number of steps for an inverting normal algorithm and other similar algorithms

1972 ◽  
Vol 1 (1) ◽  
pp. 154-168 ◽  
Author(s):  
G. S. Tseitin
Keyword(s):  
Lower Estimate ◽  
Normal Algorithm

QDR 4500A DXA overestimates fat-free mass compared with criterion methods

2003 ◽  
Vol 94 (3) ◽  
pp. 959-965 ◽  
Author(s):  
Frances Tylavsky ◽  
Timothy Lohman ◽  
Barbara A. Blunt ◽  
Dale A. Schoeller ◽  
Thomas Fuerst ◽  
...  
Keyword(s):  
Lower Estimate ◽  
Dual Energy ◽  
Fat Free Mass ◽  
Component Model ◽  
Men And Women ◽  
Hydration Level ◽  
X Ray ◽  
Beam System ◽  
Four Component Model ◽  
Total Body

This study evaluated the accuracy with which the dual-energy X-ray absorptiometer (Hologic QDR 4500A) measured fat-free mass (FFM), fat mass (FM), and hydration of FFM. In a study of 58 men and women (ages 70–79 yr), the QDR 4500A was found to provide a systematically higher estimate of FFM and lower estimate of FM than a four-component model of body composition. A correction factor from this study was developed and applied to two other samples ( n = 13 and 37). We found mean corrected levels of FFM and FM to be equivalent to that obtained by the four-component model or total body water. In addition, the hydration of the corrected FFM was closer to the established hydration level in adult samples and that obtained from the four-component model. These findings suggest that the current calibration of the fan-beam system of the Hologic QDR 4500A provides an overestimate of FFM and underestimate of FM compared with reference methods.

A Lower Estimate for Central Probabilities on Polycyclic Groups

1992 ◽  
Vol 44 (5) ◽  
pp. 897-910 ◽  
Author(s):  
G. Alexopoulos
Keyword(s):  
Probability Measure ◽  
Lie Group ◽  
Exponential Growth ◽  
Lower Estimate ◽  
Large Time ◽  
Polycyclic Group ◽  
Central Value ◽  
Convolution Power ◽  
Polycyclic Groups

AbstractWe give a lower estimate for the central value μ*n(e) of the nth convolution power μ*···*μ of a symmetric probability measure μ on a polycyclic group G of exponential growth whose support is finite and generates G. We also give a similar large time diagonal estimate for the fundamendal solution of the equation (∂/∂t + L)u = 0, where L is a left invariant sub-Laplacian on a unimodular amenable Lie group G of exponential growth.

scholarly journals Ivanov’s Theorem for Admissible Pairs Applicable to Impulsive Differential Equations and Inclusions on Tori

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1602
Author(s):  
Jan Andres ◽  
Jerzy Jezierski
Keyword(s):  
Differential Equations ◽  
Topological Entropy ◽  
Lower Estimate ◽  
Deterministic Chaos ◽  
Impulsive Differential Equations ◽  
Nielsen Numbers ◽  
Positive Topological Entropy ◽  
Admissible Pairs ◽  
Impulsive Dynamics ◽  
Differential Equations And Inclusions

The main aim of this article is two-fold: (i) to generalize into a multivalued setting the classical Ivanov theorem about the lower estimate of a topological entropy in terms of the asymptotic Nielsen numbers, and (ii) to apply the related inequality for admissible pairs to impulsive differential equations and inclusions on tori. In case of a positive topological entropy, the obtained result can be regarded as a nontrivial contribution to deterministic chaos for multivalued impulsive dynamics.

The Lower Estimate for Linear Positive Operators (II)

1994 ◽  
Vol 25 (3-4) ◽  
pp. 315-330 ◽  
Author(s):  
Hans-Bernd Knoop ◽  
Xin-long Zhou
Keyword(s):  
Lower Estimate ◽  
Positive Operators ◽  
Linear Positive Operators
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