On the Normalized Laplacian Spectrum of the Zero-Divisor Graph of the Commutative Ring <inline-formula><math display="inline"><semantics><msub><mstyle mathvariant="bold"><mi mathva... by Ali Al Khabyah, Nazim, Nadeem Ur Rehman

“…The zero-divisor graph of a commutative ring <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">R</mi></semantics></math></inline-formula> with a nonzero identity, denoted by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Γ</mo><mo>(</mo><mi mathvariant="fraktur">R</mi><mo>)</mo></mrow></semantics></math></inline-formula>, is an undirected graph where the vertex set <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Z</mi><msup><mrow><mo>(</mo><mi mathvariant="fraktur">R</mi><mo>)</mo></mrow><mo>*</mo></msup></mrow></semantics></math></inline-formula> consists of all nonzero zero-divisors of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">R</mi></semantics></math></inline-formula>. Two distinct vertices <i>a</i> and <i>b</i> in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Γ</mo><mo>(</mo><mi mathvariant="fraktur">R</mi><mo>)</mo></mrow></semantics></math></inline-formula> are adjacent if and only if <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>a</mi><mi>b</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula>. …”
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FORMULATION OF CREAM BODY SCRUB FROM ETHANOL EXTRACT OF CASSAVA LEAVES (Manihot esculenta) AS ANTIOXIDANT by Fadhliyah Malik, Suryani Suryani, Sunandar Ihsan, Elvianti Meilany, Rini Hamsidi

“…Preparation cream body scrub to formula I has a moderate antioxidant activity with IC50 158,16 µg/mL, formula 2 has an active antioxidant activity with IC50 66,59 µg/mL, and formula 3 has a stronger antioxidant activity with IC50 38,80 µg/mL. …”
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A karyomorphological study on Actaea acuminata, A. asiatica, and A. erythrocarpa (Ranunculaceae) by Elizaveta Yu. Mitrenina, Andrey S. Erst, Denis A. Krivenko, Tatiana N. Veklich, Tatiana V. Leonova, Olga A. Chernyagina, Valentin V. Yakubov, Kunli Xiang, Yuan-Yuan Ling, Wei Wang

“…The chromosome set of A. erythrocarpa was investigated in five regions of Russia; its structure proved to be similar among all the analyzed populations and is described by formula 2n = 16 = 10m + 4sm + 2t, consistently with previous findings about this species in Western Siberia. …”
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A new method to assess lumbar vertebral body rotation on simple radiographs by Suk-Joong Lee, Sanghyun Joung, Sungmin Kim, Hyun-Joo Lee, Maria Florencia Deslivia

“…The correlation coefficient for the other two parameters was extremely low (0.036 for formula 2 and 0.16 for formula 3). Conclusions: The rotation angle can be easily and accurately determined by calculating the abovementioned parameters on simple radiographs.…”
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Dataset and analysis of automated and manual methods to differentiate wide QRS complex tachycardiasDataverse by Sarah LoCoco, Anthony H. Kashou, Abhishek J. Deshmukh, Samuel J. Asirvatham, Christopher V. DeSimone, Krasimira M. Mikhova, Sandeep S. Sodhi, Phillip S. Cuculich, Rugheed Ghadban, Daniel H. Cooper, Thomas M. Maddox, Peter A. Noseworthy, Adam M. May

“…WCT Formula I, WCT Formula II, VT Prediction Model, Solo Model, and Paired Model). …”
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Formulation of Gel HandSanitizer Ethanol Extract Salam Leaves with Carbopol and Na CMC as Gelling Agent by Cory Linda Futri, Hasni Yaturramadhan

“…The results of the evaluation showed that formula 1 (Na CMC 3%, ethanolic extract of bay leaf 12.5%) and formula 2 (carbopol 0.2%, ethanolic extract of bay leaf 12.5%) fulfilled all the requirements for evaluating the physical properties of the gel which included organoleptic test, homogeneity, spreadability, adhesion, and pH. …”
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Development of an Anti-Acne Facial Wash Gel With Cassia alata L. Leaf Extract by Indri Meirista, Ruri Putri Mariska, Miftahul Jannah

“…The research results showed that the inhibition zone produced by formula 1 was 9,73mm, formula 2 was 10,33mm, and formula 3 was 13,18mm. This research concludes that Ketepeng leaf can be used as an active ingredient in anti-acne facial wash gel preparations because the Ketepeng leaf extract facial wash gel preparation meets the requirements for evaluating good physical properties and has antibacterial activity against Staphylococcus aureus bacteria in each formula.Â…”
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0.5 V Digitally-Tunable Filters for Biomedical Applications Exploiting Segmented Duty-Cycled Resistors by Alessandro Fava, Francesco Centurelli, Giuseppe Scotti

“…The 8th-order filter, implemented with 4 cascaded instances of the proposed biquad filter, guarantees an attenuation higher than 30 dB at <inline-formula> <tex-math notation="LaTeX">$f_{0}$ </tex-math></inline-formula>/2 and 2f0 with a power consumption of 480 nW, and an area footprint of 0.152 mm2, thus satisfying the requirements to extract the epilepsy biomarker in closed-loop deep brain stimulation systems.…”
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Wave erosion, frontal bending, and calving at Ross Ice Shelf by N. B. Sartore, T. J. W. Wagner, M. R. Siegfried, N. Pujara, L. K. Zoet

“…This constitutes only <span class="inline-formula">∼2</span> % of the total frontal mass loss (since near-front ice velocities are <span class="inline-formula">∼1000</span> m yr<span class="inline-formula">⁻¹</span>). …”
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Energy Transfer of Electronic Excitations by Activators in Phosphates and Sulfates via the Creation of Combined Electron Emission States by Aibek S. Nurpeissov, Temirulan T. Alibay, Turlybek Nurakhmetov, Aivaras Kareiva, Aleksej Zarkov, Sapargali Pazylbek

“…Radiative states are excited by photon energies of ~4.5 eV and ~4.0 eV, resulting in recombination emissions at 3.06–3.1 eV and 2.92–2.95 eV, as well as activator emissions at 2.06 eV for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi>M</mi><mi>n</mi></mrow><mrow><mn>2</mn><mo>+</mo></mrow></msup></mrow></semantics></math></inline-formula>, 2.5 eV for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi>T</mi><mi>b</mi></mrow><mrow><mn>3</mn><mo>+</mo></mrow></msup></mrow></semantics></math></inline-formula>, and 2.56 eV and 2.16 eV for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi>D</mi><mi>y</mi></mrow><mrow><mn>3</mn><mo>+</mo></mrow></msup></mrow></semantics></math></inline-formula>. …”
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Compensatory effects conceal large uncertainties in the modelled processes behind the relationship between the El Niño–Southern Oscillation (ENSO) and CO₂ by I. Dunkl, I. Dunkl, A. Bastos, T. Ilyina, T. Ilyina, T. Ilyina

“…The analysed ESMs agree on the direction of the sensitivity of global NBP to ENSO but exhibit very high uncertainty with regard to its magnitude, with a global NBP anomaly of <span class="inline-formula">−0.15</span> to <span class="inline-formula">−2.13</span> Pg C yr<span class="inline-formula">⁻¹</span> per standardised El Niño event. …”
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Historical snow measurements in the central and southern Apennine Mountains: climatology, variability, and trend by V. Capozzi, F. Serrapica, A. Rocco, C. Annella, C. Annella, G. Budillon

“…For clusters including only stations above 1000 m above the sea level, a significant (at 90 % or 95 % confidence levels) decreasing trend has been found in the winter season (i.e. from December to February), with <span class="inline-formula">−3.2</span> [<span class="inline-formula">−6.0</span> to 0.0] d per 10 years for snow cover duration and <span class="inline-formula">−1.6</span> [<span class="inline-formula">−2.5</span> to <span class="inline-formula">−0.6</span>] d per 10 years for number of days with snowfall. …”
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The European summer heatwave of 2019 – a regional storyline perspective by T. Klimiuk, P. Ludwig, A. Sanchez-Benitez, H. F. Goessling, P. Braesicke, P. Braesicke, J. G. Pinto

“…This process was then repeated under pre-industrial conditions, as well as under <span class="inline-formula">+2</span>, <span class="inline-formula">+3</span>, and <span class="inline-formula">+4</span> K global-warming climates. …”
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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

“…In addition to comparing the transverse momentum (<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>), rapidity, and centrality dependence of <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> between HADES data and model calculations, we also explore its time evolution and energy dependence across <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msqrt><msub><mi>s</mi><mrow><mi>N</mi><mi>N</mi></mrow></msub></msqrt><mo>=</mo></mrow></semantics></math></inline-formula> 2.4 to 4.5 GeV. 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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Accurate space-based NO_<i>x</i> emission estimates with the flux divergence approach require fine-scale model information on local oxidation chemistry and profile shapes by F. Cifuentes, F. Cifuentes, H. Eskes, E. Dammers, E. Dammers, C. Bryan, F. Boersma, F. Boersma

“…Here we test the capability of the FDA to reproduce known <span class="inline-formula">NO_<i>x</i></span> emissions from synthetic <span class="inline-formula">NO₂</span> column retrievals generated with the LOTOS-EUROS chemistry transport model over the Netherlands at high spatial resolution of about <span class="inline-formula">2×2</span> <span class="inline-formula">km</span> during summer. …”
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The high-resolution global shipping emission inventory by the Shipping Emission Inventory Model (SEIM) by W. Yi, X. Wang, T. He, H. Liu, Z. Luo, Z. Lv, K. He

“…Concerning the major air pollutants and greenhouse gases, global ships emitted <span class="inline-formula">847.2×10⁶</span> t of CO<span class="inline-formula">₂</span>, <span class="inline-formula">2.3×10⁶</span> t of SO<span class="inline-formula">₂</span>, <span class="inline-formula">16.1×10⁶</span> t of NO<span class="inline-formula">_<i>x</i></span>, 791.2 kt of CO, 737.3 kt of HC (hydrocarbon), 415.5 kt of primary PM<span class="inline-formula">_2.5</span>, 61.6 kt of BC (black carbon), 210.3 kt of CH<span class="inline-formula">₄</span>, and 45.1 kt of N<span class="inline-formula">₂</span>O in 2021, accounting for 3.2 % of SO<span class="inline-formula">₂</span>, 14.2 % of NO<span class="inline-formula">_<i>x</i></span>, and 2.3 % of CO<span class="inline-formula">₂</span> emissions from all global anthropogenic sources, based on the Community Emissions Data System (CEDS). …”
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A sub-fossil coral Sr∕Ca record documents northward shifts of the Tropical Convergence Zone in the eastern Indian Ocean by M. Pfeiffer, H. Takayanagi, H. Takayanagi, L. Reuning, T. K. Watanabe, T. K. Watanabe, S. Ito, D. Garbe-Schönberg, T. Watanabe, T. Watanabe, T. Watanabe, C.-C. Wu, C.-C. Shen, C.-C. Shen, J. Zinke, G.-J. A. Brummer, S. Y. Cahyarini

“…U<span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M4" display="inline" overflow="scroll" dspmath="mathml"><mo>/</mo></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="8pt" height="14pt" class="svg-formula" dspmath="mathimg" md5hash="57ee8123d9c9aefcf23d9c7f6463c158"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cp-21-211-2025-ie00005.svg" width="8pt" height="14pt" src="cp-21-211-2025-ie00005.png"/></svg:svg></span></span>Th dating shows that the <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M5" display="inline" overflow="scroll" dspmath="mathml"><mrow><mrow class="chem"><mi mathvariant="normal">Sr</mi></mrow><mo>/</mo><mrow class="chem"><mi mathvariant="normal">Ca</mi></mrow></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="33pt" height="14pt" class="svg-formula" dspmath="mathimg" md5hash="90dc7a8a55bd37b8673bdad01c3cf421"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cp-21-211-2025-ie00006.svg" width="33pt" height="14pt" src="cp-21-211-2025-ie00006.png"/></svg:svg></span></span>-based SST record extends from 1869–1918 and from 1824–1862 with a relative age uncertainty of <span class="inline-formula">±3</span> years (<span class="inline-formula">2<i>σ</i></span>). At Enggano Island, coastal upwelling and cooling in austral spring impact SST seasonality and are coupled to the latitudinal position of the TCZ. …”
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Co-Secure Domination Number in Some Graphs by Jiatong Cui, Tianhao Li, Jiayuan Zhang, Xiaodong Chen, Liming Xiong

“…Arumugam et al. proposed two questions: (1) Characterize a graph <i>G</i> with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>γ</mi><mrow><mi>c</mi><mi>s</mi></mrow></msub><mrow><mo>(</mo><mi>G</mi><mo>)</mo></mrow><mo>=</mo><mi>α</mi><mrow><mo>(</mo><mi>G</mi><mo>)</mo></mrow><mo>,</mo></mrow></semantics></math></inline-formula> where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>α</mi><mo>(</mo><mi>G</mi><mo>)</mo></mrow></semantics></math></inline-formula> is the independence number of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>G</mi><mo>;</mo></mrow></semantics></math></inline-formula> (2) Characterize a graph <i>G</i> with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>γ</mi><mrow><mi>c</mi><mi>s</mi></mrow></msub><mrow><mo>(</mo><mi>G</mi><mo>)</mo></mrow><mo>=</mo><msub><mi>γ</mi><mi>s</mi></msub><mrow><mo>(</mo><mi>G</mi><mo>)</mo></mrow><mo>.…”
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