A Holomorphic Scaling Function for YBa2Cu3O7-x and Hg(Xe) Superconductors

1996 ◽  
Vol 6 (3) ◽  
pp. 333-336
Author(s):  
P. H. Fang
Keyword(s):  
Scaling Function

The thermodynamic scaling function of a polymer solution

1981 ◽  
Vol 42 (6) ◽  
pp. 767-781 ◽  
Author(s):  
A. Knoll ◽  
L. Schäfer ◽  
T.A. Witten
Keyword(s):  
Polymer Solution ◽  
Scaling Function

Scaling function of the critical binary mixture methanol–cyclohexane

2003 ◽  
Vol 119 (15) ◽  
pp. 7957-7963 ◽  
Author(s):  
Ralph Behrends ◽  
Udo Kaatze ◽  
Maximilian Schach
Keyword(s):  
Binary Mixture ◽  
Scaling Function

scholarly journals Virtual scaling function of AdS/CFT

2009 ◽  
Vol 79 (10) ◽  
Author(s):  
Lisa Freyhult ◽  
Stefan Zieme
Keyword(s):  
Scaling Function

scholarly journals Universal Projective Synchronization of Two Different Hyperchaotic Systems with Unknown Parameters

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Baojie Zhang ◽  
Hongxing Li
Keyword(s):  
Adaptive Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Scaling Function ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Reference Systems ◽  
Unknown Parameters ◽  
Hyperchaotic Systems ◽  
Function Matrix

Universal projective synchronization (UPS) of two chaotic systems is defined. Based on the Lyapunov stability theory, an adaptive control method is derived such that UPS of two different hyperchaotic systems with unknown parameters is realized, which is up to a scaling function matrix and three kinds of reference systems, respectively. Numerical simulations are used to verify the effectiveness of the scheme.

Assessing Model Uncertainty for the Scaling Function Inversion of Potential Fields

Geophysics ◽  
2021 ◽  
pp. 1-39
Author(s):  
Mahak Singh Chauhan ◽  
Ivano Pierri ◽  
Mrinal K. Sen ◽  
Maurizio FEDI
Keyword(s):  
Simulated Annealing Algorithm ◽  
Scaling Function ◽  
Vertical Section ◽  
Gravity Data ◽  
Geometric Model ◽  
Salt Dome ◽  
The Body ◽  
Gravity Inversion ◽  
Geometrical Parameters ◽  
The Scaling Function

We use the very fast simulated annealing algorithm to invert the scaling function along selected ridges, lying in a vertical section formed by upward continuing gravity data to a set of altitudes. The scaling function is formed by the ratio of the field derivative by the field itself and it is evaluated along the lines formed by the zeroes of the horizontal field derivative at a set of altitudes. We also use the same algorithm to invert gravity anomalies only at the measurement altitude. Our goal is analyzing the different models obtained through the two different inversions and evaluating the relative uncertainties. One main difference is that the scaling function inversion is independent on density and the unknowns are the geometrical parameters of the source. The gravity data are instead inverted for the source geometry and the density simultaneously. A priori information used for both the inversions is that the source has a known depth to the top. We examine the results over the synthetic examples of a salt dome structure generated by Talwani’s approach and real gravity datasets over the Mors salt dome and the Decorah (USA) basin. For all these cases, the scaling function inversion yielded models with a better sensitivity to specific features of the sources, such as the tilt of the body, and reduced uncertainty. We finally analyzed the density, which is one of the unknowns for the gravity inversion and it is estimated from the geometric model for the scaling function inversion. The histograms over the density estimated at many iterations show a very concentrated distribution for the scaling function, while the density contrast retrieved by the gravity inversion, according to the fundamental ambiguity density/volume, is widely dispersed, this making difficult to assess its best estimate.

Peripheral neural correlates of magnitude of cutaneous pain and hyperalgesia: simultaneous recordings in humans of sensory judgments of pain and evoked responses in nociceptors with C-fibers

1984 ◽  
Vol 51 (2) ◽  
pp. 325-339 ◽  
Author(s):  
H. E. Torebjork ◽  
R. H. LaMotte ◽  
C. J. Robinson
Keyword(s):  
Response Function ◽  
Scaling Function ◽  
Normal Skin ◽  
Heat Pain ◽  
Evoked Responses ◽  
Pain Thresholds ◽  
Heat Injury ◽  
Magnitude Scaling ◽  
Intensity Response ◽  
Stimulus Temperature

The peripheral neuronal correlates of heat pain elicited from normal skin and from skin made hyperalgesic following a mild heat injury were studied by simultaneously recording, in humans, evoked responses in C mechanoheat (CMH) nociceptors and the magnitude estimations of pain obtained from the same subjects. Subjects made continuous magnitude ratings of pain elicited by short-duration stimuli of 39-51 degrees C delivered to the hairy skin of the calf or foot before and at varying intervals of time after a heat injury induced by a conditioning stimulus (CS) of 50 degrees C, 100 s or 48 degrees C, 360 s. The stimuli were applied with a thermode pressed against the nociceptor's receptive field. For heat stimulations of normal skin, that is, uninjured skin, pain thresholds in 14 experiments with nine subjects ranged from 41 to 49 degrees C, whereas response thresholds for most of the 14 CMH nociceptors were 41 degrees C (in two cases, 43 degrees C). The latter suggested that spatial summation of input from many nociceptors was necessary at pain threshold. An intensity-response function was obtained for each CMH by relating the total number of nerve impulses evoked per stimulus to stimulus temperature. A corresponding magnitude scaling function for pain was obtained by relating the maximum rating of pain elicited by each stimulus to stimulus temperature. The relation between the subject's scaling function and the intensity-response function of his CMH nociceptor varied somewhat from one experiment to the next, regardless of whether the results were obtained from the same or from different subjects. However, when averages were computed for all 14 tests, there was a near linear relationship between the mean number of impulses elicited in the CMHs and the median ratings of pain, over the range of 45-51 degrees C. It was concluded that the magnitude of heat pain sensation was more closely related to the magnitude of response in a population of CMH nociceptors than in any individual nociceptor. At 0.5 min after the CS, the pain thresholds of most subjects were elevated, and the magnitude ratings of pain elicited by supra-threshold stimuli were lower than pre-CS values (hypoalgesia). Corresponding changes were seen in the increased thresholds and decreased responses (fatigue) of most CMHs. By 5-10 min after the CS, the pain thresholds of most subjects were lower, and their magnitude ratings of suprathreshold stimuli were greater than pre-CS values (hyperalgesia).(ABSTRACT TRUNCATED AT 400 WORDS)

A Yield Stress Scaling Function for ER Fluids

2016 ◽  
pp. 109-113 ◽  
Author(s):  
Abdollah Hajalilou ◽  
Saiful Amri Mazlan ◽  
Hossein Lavvafi ◽  
Kamyar Shameli
Keyword(s):  
Yield Stress ◽  
Scaling Function ◽  
Er Fluids
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