Results 61 to 70 of about 33,042 (127)
Journal of Advances in Modeling Earth Systems, Volume 18, Issue 6, June 2026.Abstract The impact of anthropogenic aerosols on the mean, spatial, and temporal distribution of precipitation remains a persistent source of uncertainty in climate research. In particular, absorbing aerosols are known to influence cloud formation and precipitation in ways that are not yet fully understood.
T. Sreelekshmi +3 more
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Modeling, Validation, and Control of the IEA‐15 MW Reference Wind Turbine and VolturnUS‐S Platform
Wind Energy, Volume 29, Issue 5, May 2026.ABSTRACT This paper presents the acausal modeling, validation, and control of floating offshore wind turbines (FOWTs). The model simulates the IEA‐15 MW reference turbine and the semi‐submersible VolturnUS‐S platform utilizing a Control‐oriented, Reconfigurable, and Acausal Floating Turbine Simulator (CRAFTS), which integrates the key coupled aero ...
Dung Tran +9 more
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“Nothing” Really Matters: What Omission Responses Reveal About the Predictive Brain
European Journal of Neuroscience, Volume 63, Issue 10, May 2026.Omission paradigms reveal the brain's predictions by removing expected events. We propose these responses arise from the cooperation of two computational styles: Local Regularity Encoding (fast, automatic, local circuits, short temporal windows) and Model‐Based Inference (distributed networks, content‐specific predictions, attention‐dependent, rule ...
Amit Yaron +3 more
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On the Mathieu mock theta function
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2012 The title of the paper refers to a mock theta function, defined in terms of Appell-Lerch series, whose Fourier coefficients \(A(n)\) are related to the Mathieu group \(M_{24}\) much like the Fourier coefficients of the \(j\)-function are related to the monster group.
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The tenth-order mock theta functions revisited [PDF]
Bulletin of the London Mathematical Society, 2010 In this paper we consider the first four of the eight identities between the tenth order mock theta functions, found in Ramanujan's lost notebook. These were originally proved by Choi. Here we give an alternative (much shorter) proof.
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Partitions with short sequences and mock theta functions [PDF]
Proceedings of the National Academy of Sciences, 2005 P. A. MacMahon was the first to examine integer partitions in which consecutive integers were not allowed as parts. Such partitions may be described as having sequences of length 1. Recently it was shown that partitions containing no sequences of consecutive integers of length k are of ...
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A Note on Continued Fractions and Mock Theta Functions
Kyungpook mathematical journal, 2016 Summary: Mock theta functions are the most interesting topic mentioned in Ramanujan's Lost Notebook, due to its emerging application in the field of Number theory, Quantum invariants theory and etc. In the present research articles we have made an attempt to develop continued fractions representation of all the existing Mock theta functions.
Srivastava, Pankaj, Gupta, Priya
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, 2002 The mock theta functions were invented by the Indian mathematician Srinivasa Ramanujan, who lived from 1887 until 1920. He discovered them shortly before his death. In this dissertation, I consider several of the examples that Ramanujan gave of mock theta functions, and relate them to real-analytic modular forms of weight 1/2.
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On Uniqueness of Mock Theta Functions
17 pages, no ...
Costin, Ovidiu +2 more
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Recursions for Mock Theta Functions
We establish weighted recursions for the coefficients of Ramanujan's third order mock theta functions $f$ and $ω$. Specifically, we apply a holomorphic projection operator to vector-valued Rankin-Cohen brackets of completed mock theta series and their shadows.
Ortiz, Matthew +2 more
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