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The Elastic Fluctuation Tensor: Quantifying Stochastic Fluctuations of the Apparent Stiffness of Non-representative Microstructure Volume Elements. [PDF]
J ElastKrause M, Schneider M.
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Symplectic Structures on the Space of Space Curves. [PDF]
J Nonlinear SciBauer M, Ishida S, Michor PW.
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Do dysfunctional metacognitive beliefs contribute to interpersonal distress beyond interpersonal styles, parental bonds, depression and anxiety? A prospective within-person study. [PDF]
Front PsychiatryStrand ER, Anyan F, Nordahl H.
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Accurate protein-protein interactions modeling through physics-informed geometric invariant learning. [PDF]
Commun BiolRao J +9 more
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Exploring invariant sets and invariant measures
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1997We propose a method to explore invariant measures of dynamical systems. The method is based on numerical tools which directly compute invariant sets using a subdivision technique, and invariant measures by a discretization of the Frobenius-Perron operator. Appropriate visualization tools help to analyze the numerical results and to understand important
Dellnitz, Michael +3 more
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Bulletin of the Kyushu Institute of Technology. Pure and applied mathematics, 1999
Let \({\mathcal B}\) be a \(\sigma\)-algebra on \(X\). An increasing function \(\mu:{\mathcal B}\to [0,1]\) with \(\mu(\emptyset)= 0\) and \(\mu(X)= 1\) is called a fuzzy measure. The authors study the question when for two fuzzy measures \(\mu\) and \(\nu\) on \({\mathcal B}\) there is an increasing function \(f: [0,1]\to [0,1]\) such that \(\nu= \mu ...
Honda, Aoi, Okazaki, Yoshiaki
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Let \({\mathcal B}\) be a \(\sigma\)-algebra on \(X\). An increasing function \(\mu:{\mathcal B}\to [0,1]\) with \(\mu(\emptyset)= 0\) and \(\mu(X)= 1\) is called a fuzzy measure. The authors study the question when for two fuzzy measures \(\mu\) and \(\nu\) on \({\mathcal B}\) there is an increasing function \(f: [0,1]\to [0,1]\) such that \(\nu= \mu ...
Honda, Aoi, Okazaki, Yoshiaki
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Parallel Computation of Invariant Measures
Annals of Operations Research, 2001The paper deals with the numerical computation of a fixed density of the Frobenius-Perron operator by a combination of Ulan's method with a modified Monte Carlo scheme (fixed test points). The MC scheme is easily parallelizable. Numerical tests on 64 processors of an Origin 2000 give 64\% efficiency.
Jiu Ding, Zizhong Wang
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Invariant, relatively invariant, and quasi-invariant measures
1989In this section we discuss existence and uniqueness of invariant, relatively invariant and quasi-invariant measures on a space χ with an acting group G. In particular, the left and right invariant measures on G itself are considered, and several basic formulas relating these are derived. Various disintegration formulas are also presented.
Ole E. Barndorff-Nielsen +2 more
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Measurement Invariance, Factor Analysis and Factorial Invariance
Psychometrika, 1993Several concepts are introduced and defined: measurement invariance, structural bias, weak measurement invariance, strong factorial invariance, and strict factorial invariance. It is shown that factorial invariance has implications for (weak) measurement invariance. Definitions of fairness in employment/admissions testing and salary equity are provided
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