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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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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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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 [ Universit\`a di Roma, Report No. ROM 2F/92/54 (unpublished)] proposed that an extensive scaling region can be observed---even at moderate Reynolds numbers---when the structure functions of arbitrary order are plotted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We extend the recent work of Sirovich, Smith, and Yakhot (unpublished) and obtain for structure functions of arbitrary order an expression that is uniformly valid for the dissipation as well as the inertial range of scales.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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Asymptotic Normality of Scaling Functions

SIAM Journal on Mathematical Analysis, 2004
The properties of probability measures are investigated. It is shown that if \(m\) is a probability measure on \(R\) with finite first moment, then the solution of the scaling equation \[ \phi (x) = \int_{R} \alpha \phi (\alpha x - y)\,dm(y),\quad x \in {\mathbb R} , \] is also a probability measure with the scale \(\alpha > 1\).
Goodman, Timothy   +2 more
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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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Old and New Examples of Scale Functions for Spectrally Negative Levy Processes

, 2007
We give a review of the state of the art with regard to the theory of scale functions for spectrally negative Levy processes. From this we introduce a general method for generating new families of scale functions.
F. Hubalek, E. Kyprianou
semanticscholar   +1 more source

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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