Results 261 to 270 of about 185,241 (309)

Scaled aggregation functions

Information Sciences, 2021
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Kolesárová, Anna, Jin, LeSheng, Mesiar, Radko   +2 more
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Orthogonality Criteria for Multi-scaling Functions

Applied and Computational Harmonic Analysis, 1998
Necessary and sufficient conditions for the orthonormality of a multi-scaling function φ with integer dilation factoraand multiplicityrare established. Here φ := (φ1, … , φr)Tand satisfies φ(x) =[formula]Pkφ(ax − k), for some positive integerM, withP0, …
Jian-Ao Lian
exaly   +2 more sources

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, Hiroyuki Nakashima, Yusaku I. Kurokawa   +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 [ Universit\`a di Roma, Report No. ROM 2F/92/54 (unpublished)] proposed that an extensive scaling region can be observed---even at moderate Reynolds numbers---when the structure functions of arbitrary order are plotted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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Smoothness of rank M scaling functions [PDF]

Applied and Computational Harmonic Analysis, 2002
This article investigates the smoothness of rank M scaling functions and gives some numerical results. Smoothness of a scaling function ϕ is studied by introducing an exponent sp(ϕ), which is represented by the spectral radius of the transfer operator ...
Fumio Maitani, Tatsuhiko Yagasaki
exaly   +2 more sources

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, Chen, Louis H. Y., Lee, S. L.   +2 more
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