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1. A Family of Banach Spaces Over ℝ∞

   https://doi.org/10.1142/S2591722621400020  

   Gill, Tepper L.; Kalita, Hemanta; Hazarika, Bipan (March 2021, Proceedings of the Singapore National Academy of Science)

   null (Ed.)

   In T. L. Gill and W. W. Zachary, Functional Analysis and the Feynman Operator Calculus (Springer, New York, 2016), the topology of [Formula: see text] was replaced with a new topology and denoted by [Formula: see text]. This space was then used to construct Lebesgue measure on [Formula: see text] in a manner that is no more difficult than the same construction on [Formula: see text]. More important for us, a new class of separable Banach spaces [Formula: see text], [Formula: see text], for the HK-integrable functions, was introduced. These spaces also contain the [Formula: see text] spaces and the Schwartz space as continuous dense embeddings. This paper extends the work in T. L. Gill and W. W. Zachary, Functional Analysis and the Feynman Operator Calculus (Springer, New York, 2016) from [Formula: see text] to [Formula: see text]. 

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2. The Importance of Network Security

   Troy, Fayed; Boonthum-Denecke, Chutima (January 2023, The 2023 ADMI Symposium)

   This report will discuss the importance of network security. Network Security is important because it prevents hackers from gaining access to data and personal information. The issue in society is that users get their data stolen every day and are scared that their information is blasted out to the world. Within this paper I will talk to you about the importance of network security and how it can change your day-to-day life using cyber security. In addition, I will create a survey for computer science majors to see if network security is important. Also, I will send a survey to a DISA employee to get his perspective on this topic and his comments as well. The best method to incorporate both user input and research into this paper is to use user input to back up the research. User input will be a great addition because it gives the readers a real-world opinion on if this topic is valid. 

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3. Gordon Research Conference on photosynthesis: photosynthetic plasticity from the environment to synthetic systems

   https://doi.org/https://doi.org/10.1007/s11120-017-0472-x  

   Gisreil, C.; Saroussi, S.; Ramundo, S.; Fromme, P.; Govindjee, G. (January 2018, Photosynthesis research)

   Here, we provide a summary of the 2017 Gordon Research Conference on Photosynthesis: “Photosynthetic plasticity: from the environment to synthetic systems”. This conference was held at the Grand Summit Resort Hotel at Sunday River, Newry, Maine, USA, from July 16 to 21, 2017. We have also included here a brief description of the Gordon Research Seminar (for students and post-docs) held during 2 days preceding this conference. Following the conclusion of the conference’s scientific program, four young scientists (Han Bao, Vivek Tiwari, Setsuko Wakao, and Usha Lingappa) were recognized for their research presentations, each of whom received a book as a gift from one of us (Govindjee). Having chaired the 2015 Gordon Research Conference on Photosynthesis in 2015, Fabrice Rappaport, who lost his fight against cancer in January 2016, was remembered for his profound impact on the field of photosynthesis research. 

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4. Theory of anisotropic superfluid ⁴ He counterflow turbulence

   https://doi.org/10.1098/rsta.2021.0094  

   L'vov, Victor S.; Lvov, Yuri V.; Nazarenko, Sergey; Pomyalov, Anna (March 2022, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences)

   We develop a theory of strong anisotropy of the energy spectra in the thermally driven turbulent counterflow of superfluid 4 He. The key ingredients of the theory are the three-dimensional differential closure for the vector of the energy flux and the anisotropy of the mutual friction force. We suggest an approximate analytic solution of the resulting energy-rate equation, which is fully supported by our numerical solution. The two-dimensional energy spectrum is strongly confined in the direction of the counterflow velocity. In agreement with the experiments, the energy spectra in the direction orthogonal to the counterflow exhibit two scaling ranges: a near-classical non-universal cascade dominated range and a universal critical regime at large wavenumbers. The theory predicts the dependence of various details of the spectra and the transition to the universal critical regime on the flow parameters. This article is part of the theme issue ‘Scaling the turbulence edifice (part 2)’. 

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5. Estimation of Turbulence Parameters in the Lower Troposphere from ShUREX (2016–2017) UAV Data

   https://doi.org/10.3390/atmos10070384  

   Luce, Hubert; Kantha, Lakshmi; Hashiguchi, Hiroyuki; Lawrence, Dale (July 2019, Atmosphere)

   null (Ed.)

   Turbulence parameters in the lower troposphere (up to ~4.5 km) are estimated from measurements of high-resolution and fast-response cold-wire temperature and Pitot tube velocity from sensors onboard DataHawk Unmanned Aerial Vehicles (UAVs) operated at the Shigaraki Middle and Upper atmosphere (MU) Observatory during two ShUREX (Shigaraki UAV Radar Experiment) campaigns in 2016 and 2017. The practical processing methods used for estimating turbulence kinetic energy dissipation rate ε and temperature structure function parameter C T 2 from one-dimensional wind and temperature frequency spectra are first described in detail. Both are based on the identification of inertial (−5/3) subranges in respective spectra. Using a formulation relating ε and C T 2 valid for Kolmogorov turbulence in steady state, the flux Richardson number R f and the mixing efficiency χ m are then estimated. The statistical analysis confirms the variability of R f and χ m around ~ 0.13 − 0.14 and ~ 0.16 − 0.17 , respectively, values close to the canonical values found from some earlier experimental and theoretical studies of both the atmosphere and the oceans. The relevance of the interpretation of the inertial subranges in terms of Kolmogorov turbulence is confirmed by assessing the consistency of additional parameters, the Ozmidov length scale L O , the buoyancy Reynolds number R e b , and the gradient Richardson number Ri. Finally, a case study is presented showing altitude differences between the peaks of N 2 , C T 2 and ε , suggesting turbulent stirring at the margin of a stable temperature gradient sheet. The possible contribution of this sheet and layer structure on clear air radar backscattering mechanisms is examined. 

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