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Accurate scaling functions of the scaled Schrödinger equation

The Journal of Chemical Physics, 2022
The scaling function g of the scaled Schrödinger equation (SSE) is generalized to obtain accurate solutions of the Schrödinger equation (SE) with the free complement (FC) theory. The electron–nuclear and electron–electron scaling functions, giA and gij, respectively, are generalized. From the relations between SE and SSE at the inter-particle distances
Hiroshi Nakatsuji   +2 more
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Global function scales

Social Psychiatry and Psychiatric Epidemiology, 1994
There is a close relationship between impairment of global functioning and mental illness. However valid measurement of global functioning is difficult, and there is no perfect scale. The instruments reviewed in this paper illustrate a range of different approaches.
M, Phelan, T, Wykes, H, Goldman
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Scaling of structure functions

Physical Review E, 1993
In a recent paper, Benzi et al. [ Universit\`a di Roma, Report No. ROM 2F/92/54 (unpublished)] proposed that an extensive scaling region can be observed---even at moderate Reynolds numbers---when the structure functions of arbitrary order are plotted against the third-order structure function, and that the scaling region in such plots encompasses both ...
, Stolovitzky, , Sreenivasan
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The Level of Functioning Scale

International Journal of the Addictions, 1981
(1981). The Level of Functioning Scale. International Journal of the Addictions: Vol. 16, No. 4, pp. 771-772.
L P, Clinton, S, Hyatt
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Scaling functions and scaling exponents in turbulence

Physical Review E, 1993
We extend the recent work of Sirovich, Smith, and Yakhot (unpublished) and obtain for structure functions of arbitrary order an expression that is uniformly valid for the dissipation as well as the inertial range of scales. We compare the expression with experimental data obtained in a moderate-Reynolds-number turbulent boundary layer and find good ...
, Stolovitzky, , Sreenivasan, , Juneja
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Functional scales: Summary

Amyotrophic Lateral Sclerosis and Other Motor Neuron Disorders, 2002
(2002). Functional scales: Summary. Amyotrophic Lateral Sclerosis and Other Motor Neuron Disorders: Vol. 3, No. sup1, pp. S13-S18.
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Scaling of program functionality

Genetic Programming and Evolvable Machines, 2008
The distribution of fitness values (landscapes) of programs tends to a limit as the programs get bigger. We use Markov chain convergence theorems to give general upper bounds on the length of programs needed for convergence. How big programs need to be to approach the limit depends on the type of the computer they run on. We give bounds (exponential in
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Gene function on a genomic scale

Journal of Chromatography B, 2002
The ability to obtain experimental measurements for thousands of genes has revolutionized our view of biological systems. While traditional studies of gene function evaluated many different properties for a single gene, genomic approaches can measure a single property for thousands of genes.
Lars M, Steinmetz, Adam M, Deutschbauer
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Nearly shiftable scaling functions

1995 International Conference on Acoustics, Speech, and Signal Processing, 2002
The goal of the paper is to derive an approach for designing nearly shiftable scaling functions for multiresolution analyses (MRAs). Because this method does not increase the sampling density, the sparseness and efficiency of a dyadic grid is preserved.
Steven A. Benno, José M. F. Moura
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The Functional Mobility Scale (FMS)

Journal of Pediatric Orthopaedics, 2004
We devised a new Functional Mobility Scale (FMS) to describe functional mobility in children with cerebral palsy, as an aid to communication between orthopaedic surgeons and health professionals. The unique feature of the FMS is the freedom to score functional mobility over three distinct distances, chosen to represent mobility in the home, at school ...
H Kerr, Graham   +4 more
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