Design of an Ultra Compact 180-Degree Ring Coupler With Harmonic Suppression Using Composite Lines for Modern RF Systems by Saeed Roshani, Farid Zubir, Mohsen Karimi, Muhammad Akmal Chaudhary, Maher Assaad, Fawwaz Hazzazi, Noorlindawaty Md Jizat, Sobhan Roshani

“…In the proposed coupler, six compact proposed branches are applied instead of these six long <inline-formula> <tex-math notation="LaTeX">$\lambda $ </tex-math></inline-formula>/4 branches, resulting in size reduction and harmonic suppression. …”
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Low-Intensity Transcranial Ultrasound Stimulation Inhibits Epileptic Seizures in Motor Cortex by Modulating Hippocampus Neural Activity by Na Pang, Qianqian Wang, Jiamin Pei, Hailin Zhang, Yi Yuan, Jiaqing Yan

“…To explore the answers of above questions, ultrasound was utilized to investigate the responses to the aforementioned inquiries by stimulating the hippocampus of mice with penicillin-induced epilepsy, while simultaneously recording the local field potentials (LFPs) in the hippocampus and the motor cortex (M1) throughout the experiment. The results showed that TUS: 1) reduced the amplitude and the strength of the <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\theta } $ </tex-math></inline-formula> frequency band in LFPs in the hippocampus and M1; 2) decreased the coupling strength of the <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\delta }$ </tex-math></inline-formula> - <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\gamma } $ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\theta } $ </tex-math></inline-formula> - <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\gamma }$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\alpha } $ </tex-math></inline-formula> - <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\gamma } $ </tex-math></inline-formula> frequency bands in the hippocampus and M1; and 3) weakened the correlation of neural activity between the hippocampus and M1. …”
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A Scenario for Origin of Global 4 mHz Oscillations in Solar Corona by Li Xue, Chengliang Jiao, Lixin Zhang

“…We confirmed that this resulted from the <i>p</i>-mode excited in the transition region and amplified in a resonant cavity situated in the height range ∼<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>4</mn><mo>×</mo><msup><mn>10</mn><mn>3</mn></msup></mrow></semantics></math></inline-formula>–<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>2</mn><mo>×</mo><msup><mn>10</mn><mn>4</mn></msup></mrow></semantics></math></inline-formula> km. …”
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Partitioning Functional of a Class of Convex Bodies by Xinling Zhang

“…For each <i>n</i>-dimensional real Banach space <i>X</i>, each positive integer <i>m</i>, and each bounded set <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><mo>⊆</mo><mi>X</mi></mrow></semantics></math></inline-formula> with diameter greater than 0, let <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>β</mi><mi>X</mi></msub><mrow><mo>(</mo><mi>A</mi><mo>,</mo><mi>m</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> be the infimum of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>δ</mi><mo>∈</mo><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></mrow></semantics></math></inline-formula> such that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><mo>⊆</mo><mi>X</mi></mrow></semantics></math></inline-formula> can be represented as the union of <i>m</i> subsets of <i>A</i>, whose diameters are not greater than <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula> times the diameter of <i>A</i>. …”
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Effect on OPU/IVEP success of different applications for synchronizing follicular waves prior to superstimulation in holstein heifers by M. F. Çiftçi, Ö. F. Yeşilkaya, S. Ü. Çizmeci, M. Gölbaşı, A. Sarı, D. A. Dinç

“…The number of medium-diameter follicles (3–8 mm) was found to be greater in hCG <span class="inline-formula">+</span> P4 and DFR <span class="inline-formula">+</span> P4 than in the control group (<span class="inline-formula"><i>p</i><i>&lt;</i>0.05</span>). …”
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Short Pulse Epiretinal Stimulation Allows Focal Activation of Retinal Ganglion Cells by Laurin X. Koppenwallner, Gunther Zeck, Paul Werginz

“…Computational modeling points to somatic polarization as the underlying mechanism for lower somatic thresholds. Our results demonstrate focal activation with pulses in the range of <inline-formula> <tex-math notation="LaTeX">$10\mu $ </tex-math></inline-formula>s as a potential strategy to avoid the long-standing problem of axonal co-activation in epiretinal implants.…”
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SO₂ emissions derived from TROPOMI observations over India using a flux-divergence method with variable lifetimes by Y. Chen, Y. Chen, R. J. van der A, J. Ding, H. Eskes, J. E. Williams, N. Theys, A. Tsikerdekis, P. F. Levelt, P. F. Levelt, P. F. Levelt

“…The results show the application of the local SO<span class="inline-formula">₂</span> lifetime improves the accuracy of SO<span class="inline-formula">₂</span> emissions estimation when compared to calculations using a constant lifetime. …”
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On Value Distribution for the Mellin Transform of the Fourth Power of the Riemann Zeta Function by Virginija Garbaliauskienė, Audronė Rimkevičienė, Mindaugas Stoncelis, Darius Šiaučiūnas

“…The main results are devoted to probability measures defined by generalized shifts <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="script">Z</mi><mn>2</mn></msub><mrow><mo>(</mo><mi>s</mi><mo>+</mo><mi>i</mi><mi>φ</mi><mrow><mo>(</mo><mi>τ</mi><mo>)</mo></mrow><mo>)</mo></mrow></mrow></semantics></math></inline-formula> with a real increasing to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>+</mo><mo>∞</mo></mrow></semantics></math></inline-formula> differentiable functions connected to the growth of the second moment of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="script">Z</mi><mn>2</mn></msub><mrow><mo>(</mo><mi>s</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. …”
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Approximation and the Multidimensional Moment Problem by Octav Olteanu

“…Such results are discussed in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi>L</mi></mrow><mrow><mi>μ</mi></mrow><mrow><mn>1</mn></mrow></msubsup><mfenced separators="|"><mrow><msup><mrow><mi mathvariant="double-struck">R</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfenced></mrow></semantics></math></inline-formula> and in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>C</mi><mfenced separators="|"><mrow><msub><mrow><mi>S</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>×</mo><msub><mrow><mi>S</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></mfenced></mrow></semantics></math></inline-formula>-type spaces, for a large class of measures, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>μ</mi><mo>,</mo></mrow></semantics></math></inline-formula> for compact subsets <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>S</mi></mrow><mrow><mi>i</mi></mrow></msub><mo>,</mo><mo> </mo><mi>i</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></semantics></math></inline-formula> of the interval <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mo>+</mo><mo>∞</mo><mo>)</mo></mrow></semantics></math></inline-formula>. …”
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Effects of potassium sodium niobate (KNN) thickness on biaxial non-resonant microelectromechanical systems (MEMS) mirror performance by L. Mollard, C. Dieppedale, A. Hamelin, R. Liechti, G. Le Rhun

“…A comparison of the mirror's performance and static deformation as a function of KNN thickness will be presented and discussed. The results obtained with these non-resonant mirrors, all fabricated using a collective 200 mm silicon manufacturing process, exhibit the following: (a) an arm deformation of 50 to 80 <span class="inline-formula">µ</span>m corresponding to an estimated tensile residual stress of approximately 120 MPa in the KNN layer, (b) the same level of performance for the 0.5 <span class="inline-formula">µ</span>m thick lead zirconate titanate (PZT) and KNN at 10 V, and (c) an optical angle up to 8.5° at 40 V for the 2 <span class="inline-formula">×</span> 2 mm<span class="inline-formula">²</span> mirror design with 1.5 <span class="inline-formula">µ</span>m thick KNN. …”
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&#x03F5;-Confidence Approximately Correct (&#x03F5;-CoAC) Learnability and Hyperparameter Selection in Linear Regression Modeling by Soosan Beheshti, Mahdi Shamsi

“…In addition, it shows advantages over the well-known cross-validation method in the sense of accuracy and data length requirements for convergence. Simulation results, for both synthetic and real data, confirm not only strength and capability of <inline-formula> <tex-math notation="LaTeX">$\epsilon $ </tex-math></inline-formula>-CoAC in providing learning measurements as a function of data length and/or hypothesis complexity, but also superiority of the method over the existing approaches in hypothesis complexity and model selection.…”
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Studies on the High-Power Piezoelectric Property Measurement Methods and Decoupling the Power and Temperature Effects on PZT-5H by Wenchao Xue, Xiaobo Wang, Yuliang Zhu, Chengtao Luo

“…The results showed that the self-heating temperature amplified the effects of power on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>k</mi></mrow><mrow><mn>31</mn></mrow></msub></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>d</mi></mrow><mrow><mn>31</mn></mrow></msub></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi>s</mi></mrow><mrow><mn>11</mn></mrow><mrow><mi mathvariant="normal">E</mi></mrow></msubsup></mrow></semantics></math></inline-formula>, while its influence on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>Q</mi></mrow><mrow><mi mathvariant="normal">m</mi></mrow></msub></mrow></semantics></math></inline-formula> remained negligible.…”
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An Erdős-Révész Type Law for the Length of the Longest Match of Two Coin-Tossing Sequences by Karl Grill

“…Erdős and Révész refined this result by providing a description of the Lévy upper and lower classes of the process <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>R</mi><mi>n</mi></msub></semantics></math></inline-formula>. …”
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2.1 W/mm Output Power Density at 10 GHz for H-Terminated Diamond MOSFETs With (111)-Oriented Surface by Bing Qiao, Pengfei Dai, Xinxin Yu, Zhonghui Li, Ran Tao, Jianjun Zhou, Rui Shen, Tangsheng Chen

“…After passivation, a low ohmic contact resistance <inline-formula> <tex-math notation="LaTeX">$R_{c}$ </tex-math></inline-formula> of <inline-formula> <tex-math notation="LaTeX">$0.5 \Omega \cdot $ </tex-math></inline-formula>mm was obtained and the 2DHG sheet density was as high as <inline-formula> <tex-math notation="LaTeX">$1.0\times 10\,\,^{\mathrm{ 13}}\,\,{\mathrm{ cm}}^{-2}$ </tex-math></inline-formula> with a corresponding mobility of <inline-formula> <tex-math notation="LaTeX">$104 {\mathrm{ cm}}^{2} /\text{V}\cdot \text{s}$ </tex-math></inline-formula>. …”
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Elliptic and Quadrangular Flow of Protons in the High-Baryon-Density Region by Shaowei Lan, Zuowen Liu, Like Liu, Shusu Shi

“…While the ratio <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>v</mi><mn>4</mn></msub><mo>/</mo><msubsup><mi>v</mi><mrow><mn>2</mn></mrow><mn>2</mn></msubsup></mrow></semantics></math></inline-formula> for high-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>p</mi><mi>T</mi></msub></semantics></math></inline-formula> particles approaches 0.5, which aligns with expectations from hydrodynamic behavior, we emphasize that this result primarily reflects agreement with the HADES measurements rather than a definitive indication of ideal fluid behavior. …”
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Modeling Seed Longevity and Percentile Prediction: A Sigmoidal Function Approach in Soybean, Maize, and Tomato by Felipe Souza Carvalho, Brunna Rithielly Rezende, Amanda Rithieli Pereira dos Santos, Maria Márcia Pereira Sartori

“…Additionally, it seeks to determine the performance of these models in predicting <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>P</mi></mrow><mrow><mn>50</mn></mrow></msub></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>P</mi></mrow><mrow><mn>85</mn></mrow></msub></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>P</mi></mrow><mrow><mn>25</mn></mrow></msub></mrow></semantics></math></inline-formula>. …”
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Optimal Index Code With Rate 4 Over F&#x2082; by Rajesh Neelakandan, Ganesan Kaliyaperumal

“…To present this new result, results of index coding network coding duality are used. …”
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Bioenergetic Modeling of the Relationship Between Voltage and Electroactive Microbial Biomass Yield for Bioelectrochemical Carbon Dioxide Reduction to Methane by Vafa Ahmadi, Nabin Aryal

“…The results show that higher voltage inputs increase biomass yield while reducing <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>C</mi><mi>H</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></semantics></math></inline-formula> output due to non-optimal voltage. …”
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Design, evaluation, and future projections of the NARCliM2.0 CORDEX-CMIP6 Australasia regional climate ensemble by G. Di Virgilio, G. Di Virgilio, J. P. Evans, J. P. Evans, F. Ji, F. Ji, E. Tam, J. Kala, J. Andrys, C. Thomas, D. Choudhury, C. Rocha, S. White, Y. Li, M. El Rafei, R. Goyal, M. L. Riley, J. Lingala

“…Under Shared Socioeconomic Pathway (SSP) 3-7.0, NARCliM2.0 projects <span class="inline-formula">∼</span> 3 K warming by 2060–2079 over inland regions versus <span class="inline-formula">∼</span> 2.5 K over coastal regions. …”
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Predefined-Time <italic>H</italic> _&#x221E; Cooperative Control for Multi-Robot Systems Based on Adjustable Prescribed Performance Control and Adaptive Command Filter by Haitao Liu, Weichen Li, Xin Huang, Xuehong Tian, Qingqun Mai

“…A predefined-time <inline-formula> <tex-math notation="LaTeX">$H_{\infty } $ </tex-math></inline-formula> coordinated formation controller with an adjustable prescribed performance function (PPF) and an adaptive command filter is proposed for multi-robot systems in this work. …”
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