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Chemical Bonding in Monosubstituted Aromatic Molecules from Full-Valence Modern Ab Initio Valence Bond Calculations. [PDF]
J Phys Chem ABarbosa AGH, Monteiro JGS.
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The AMEE-PPI Method to Extract Typical Outcrop Endmembers from GF-5 Hyperspectral Images. [PDF]
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Pretreatments by Orthogonal Projections
2021Orthogonal projections belong to the few calculation tools onto which rely the most popular chemometric methods. They can be found in several calibration and classification methods. However, the term orthogonal projection is more commonly associated to the field of pretreatments (or preprocessings).
Roger, Jean-Michel, Boulet, Jean-Claude
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Certain Properties of Orthogonal Projections
Bulletin of the Iranian Mathematical Society, 2020Let \(P\), \(Q\) be projections on a Hilbert space. The pair \((P,Q)\) is Fredholm if the operator \(PQ|_{R(Q)}:R(Q)\to R(P)\) is Fredholm (here \(R(P)\) denotes the range of \(P\)). For a fixed projection \(P\), the authors discuss properties of the set of projections \(Q\) such that (a) \(P-Q\) is compact, (b) \((P,Q)\) is Fredholm, and some similar ...
Shuaijie Wang, Chunyuan Deng
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The Mathematical Gazette, 1897
The object of the papers is to consider two modes of representing points and lines on a spherical surface by points and lines on a plane: one method being by orthogonal projection, and the other by stereographic projection. The authors consider that students of spherical trigonometry ought to be able to accurately draw any figure with which they may ...
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The object of the papers is to consider two modes of representing points and lines on a spherical surface by points and lines on a plane: one method being by orthogonal projection, and the other by stereographic projection. The authors consider that students of spherical trigonometry ought to be able to accurately draw any figure with which they may ...
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Smooth Orthogonal Projections on Sphere
Constructive Approximation, 2014Smooth projections on the real line were studied systematically by \textit{P. Auscher} et al. [in: Wavelets: A tutorial in theory and applications. Boston, MA etc.: Academic Press. 237--256 (1992; Zbl 0767.42009)] in their study of local sine and cosine bases of \textit{R. R. Coifman} and \textit{Y. Meyer} [C. R. Acad. Sci., Paris, Sér. I 312, No.
Bownik, Marcin, Dziedziul, Karol
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Orthogonal Projection Analysis
2012In this paper, we propose a novel linear dimensionality reduction algorithm, called Orthogonal Projection Analysis (OPA), from a gradient field perspective. Our approach is based on the following two criteria. First, the linear map should preserve the metric of the ambient space, which is based on the assumption that the metric of the ambient space is ...
Binbin Lin, Chiyuan Zhang, Xiaofei He
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1998
Suppose Δ is a subgroup of A × A*, Δ0 is the critical sampling subgroup $${{\Delta }_{0}} = B \times {{B}_{*}},$$ and g ∈ L(A).
Richard Tolimieri, Myoung An
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Suppose Δ is a subgroup of A × A*, Δ0 is the critical sampling subgroup $${{\Delta }_{0}} = B \times {{B}_{*}},$$ and g ∈ L(A).
Richard Tolimieri, Myoung An
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