Asymptotics of the generalized Gegenbauer functions of fractional degree by Liu, Wenjie, Wang, Li-Lian

“…The generalized Gegenbauer functions of fractional degree (GGF-Fs), denoted by rG (λ) ν (x) (right GGF-Fs) and lG (λ) ν (x) (left GGF-Fs) with x ∈ (−1, 1), λ > −1/2 and real ν ≥ 0, are special functions (usually non-polynomials), which are defined upon the hypergeometric representation of the classical Gegenbauer polynomial by allowing integer degree to be real fractional degree. …”
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Lie-Poisson neural networks (LPNets): data-based computing of Hamiltonian systems with symmetries by Eldred, Christopher, Gay-Balmaz, François, Huraka, Sofiia, Putkaradze, Vakhtang

“…Using this approach, we develop a network based on transformations that exactly preserve the Poisson bracket and the special functions of the Lie-Poisson systems (Casimirs) to machine precision. …”
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Self-assembly of peptide nanocapsules by a solvent concentration gradient by Li, Haopeng, Qian, Xuliang, Mohanram, Harini, Han, Xiao, Qi, Huitang, Zou, Guijin, Yuan, Fenghou, Miserez, Ali, Liu, Tian, Yang, Qing, Gao, Huajian, Yu, Jing

“…Biological systems can create materials with intricate structures and specialized functions. In comparison, precise control of structures in human-made materials has been challenging. …”
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Microbiome assembly predictably shapes diversity across a range of disturbance frequencies in experimental microcosms by Santillan, Ezequiel, Wuertz, Stefan

“…In contrast, higher stochasticity correlated with higher nitrogen removal (a specialized function) only during initial successional stages at intermediate disturbance frequencies. …”
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Public key encryption with equality test from generic assumptions in the random oracle model by Lee, Hyung Tae, Ling, San, Seo, Jae Hong, Wang, Huaxiong

“…Public key encryption with equality test (PKEET) is a variant of classical public key encryption (PKE) with the special functionality of an equality test, and can be used in many applications such as in keyword search on encrypted data and for efficient management by partitioning encrypted data in the cloud. …”
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Molecular phenotyping of single pancreatic islet leader beta cells by "Flash-Seq" by Chabosseau, Pauline, Yong, Fiona, Delgadillo-Silva, Luis F., Lee, Eun Young, Melhem, Rana, Li, Shiying, Gandhi, Nidhi, Wastin, Jules, Noriega, Livia Lopez, Leclerc, Isabelle, Ali, Yusuf, Hughes, Jing W., Sladek, Robert, Martinez-Sanchez, Aida, Rutter, Guy A.

“…Significance: The existence of both a discrete transcriptome and unique localisation implies a role for these features in defining the specialized function of leaders. These data also raise the possibility that localised signalling between delta and leader cells contributes to the initiation and propagation of islet Ca2+ waves.…”
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