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On Multiplicative Galois Structure Invariants
American Journal of Mathematics, 1995It is shown that work of Fröhlich on an integral version of the Stark-Tate regulator represents approximations to a conjecture of Chinburg on a multiplicative Galois structure invariant. Taken in conjunction with recent work of Snaith on the additive Chinburg invariants, it follows that all the conjectures of Chinburg hold in two special types of ...
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Invariant Functions on Measurement Structures
Journal of Mathematical Psychology, 1995Since the publication of \textit{S. Stevens}' celebrated articles [Science 103, 677-680 (1946); S. Stevens (ed.), Handb. Exp. Psychol., 1-49 (1951)]\ the relationship between measurement structures and appropriate statistics has been an outstanding problem. In an attempt to explicate Stevens' idea of ``permissible statistics'', \textit{E. W.
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Structural invariants in protein folding
Nature, 1975An analysis of 15 protein structures indicates: First, the loss of accessible surface area by monomeric proteins on folding-proportional to hydrophobic energy-is a simple function of molecular weight; second, the proportion of polar groups forming intramolecular hydrogen bonds is constant; and third, protein interiors are closely packed, each residue ...
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On the structure of rotation-invariant semigroups
Archive for Mathematical Logic, 2003A partially ordered set \((M,\leq)\) together with a binary operation \(*\) and an involution \('\) (i.e., an antitone bijection of \(M\) onto itself) is said to have the rotation invariance property with respect to \('\) if \(x*y\leq z\Leftrightarrow y*z'\leq x'\) for all \(x,y,z\in M\).
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Variability and Detection of Invariant Structure
Psychological Science, 2002Two experiments investigated learning of nonadjacent dependencies by adults and 18-month-olds. Each learner was exposed to three-element strings (e.g., pel-kicey-jic) produced by one of two artificial languages. Both languages contained the same adjacent dependencies, so learners could distinguish the languages only by acquiring dependencies between ...
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The topology of crystal structures: Invariants
Zeitschrift für Kristallographie - Crystalline Materials, 1987To any crystal structure with a given topology a finite set of numbers can be assigned which contains important information about the topological properties of the structure. This set is called the eigenvalue spectrum of the structure. Spectra of crystal structures are useful for purposes of classification.
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Invariant Geometric Structures on Statistical Models
2015We review the notion of parametrized measure models and tensor fields on them, which encompasses all statistical models considered by Chentsov [6], Amari [3] and Pistone-Sempi [10]. We give a complete description of n-tensor fields that are invariant under sufficient statistics.
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Probable Structural Invariant in Some Transitions between Crystal Water Phases
Physics of Wave Phenomena, 2023E A Zheligovskaya, Zheligovskaya E A
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