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Molecular Face-Rotating Polyhedra: Chiral Cages Inspired by Mathematics

Accounts of Chemical Research
ConspectusMolecular polyhedral cages, notable for their enclosed inner cavities, can possess varying degrees of symmetry, spanning from regular Platonic polyhedra to lower symmetry forms that may display chirality. Crafting chiral molecular cages typically involves using building blocks containing stereogenic elements or arranging achiral components in
Xue Dong   +4 more
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Rotation Technique in Radially Symmetric Electron Micrographs: Mathematical Analysis

Science, 1966
The rotation operation of order m operating on a signal removes all spatial frequencies not multiple to m . Anomalous reinforcements, causing misinterpretation, can be discounted without following previously suggested restrictions. The improvement in signal-to-noise ratio is less than
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Isomorphism of Mathematical Descriptions of the Rotation Operation

Mechanics of Solids, 2018
Currently the practice of constructing various algorithms of inertial navigation, including strapdown navigation system (SINS), indicates that two mathematical methods for describing rotation are mainly used: using quaternions or direction cosines. Moreover, in SINS algorithms it is often convenient to use two of these parameter systems in parallel ...
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

Mathematical Analysis for Rotating Autokeratoplasty, Reply

Cornea, 1992
Ioannis Karpouzas, Yves J-M. Pouliquen
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A GENERALIZED MATHEMATICAL MODEL FOR ROTATING ELECTRICAL MACHINES

1986
The aim of the paper is to present a mathematical model useful to analyze the different operating conditions of the different structures of rotating electrical machines. For this purpose it is first shown that the same mathematical expression describes the air gap m. m. f.
PAGANO, E., PERFETTO, ALDO
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MATHEMATICAL MODEL FOR A CROP ROTATION PROBLEM

Acta Horticulturae, 1990
S. Alonso   +4 more
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