Integral Formulae of Bernoulli and Genocchi Polynomials by Seog-Hoon Rim, Joung-Hee Jin, Joohee Jeong

“…From these identities, we derive some new and interesting integral formulae for Bernoulli and Genocchi polynomials.…”
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Analytic Formula for the Vibration and Sound Radiation of a Nonlinear Duct by Yiu-Yin Lee

“…Many related works assume that the boundaries are linearly vibrating (i.e., their vibration amplitudes are small), or that the duct panels are rigid, and their vibrations can thus be neglected. …”
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Quadrupole formulae with cosmological constant: comparison by Denis Dobkowski-Ryłko, Jerzy Lewandowski

“…All of them lead to generalizations of the quadrupole formula, however, due to different gauge conditions and choices of the hypersurfaces, across which the energy flux is computed, it is nontrivial to see that they all coincide, as one would expect from the symplectic theory. …”
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Accuracy of Intraocular Lens Power Calculation Formulas for Highly Myopic Eyes by Yichi Zhang, Xiao Ying Liang, Shu Liu, Jacky W. Y. Lee, Srinivasan Bhaskar, Dennis S. C. Lam

“…Results. One hundred seventy-one eyes were enrolled. The Barrett Universal II formula had the lowest mean absolute error (MAE) and SRK/T and Haigis had similar MAE, and the statistical highest MAE were seen with the Holladay and Hoffer Q formulas. …”
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An Updated Design Formula for Predicting the Compressive Strength of Plate: Elastic Buckling and Ultimate Compressive Strength by Do Kyun Kim, Hee Yeong Yang, Shen Li, Seungjun Kim

“…In total, 600 cases of reasonable plate scenarios are selected to update the design formula by broadly considering the plate geometry (i.e., plate length, breadth, and thickness), material property (i.e., elastic modulus and yield strength), and initial deflection. …”
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16-Channel Hybrid WDM-PDM-MDM (de) Multiplexer for Multi-Band Large-Capacity Optical Transmission System Based on Thick Si<inline-formula><tex-math notation="LaTeX">$_{3}$</tex-math></inline-formula>N<inline-formula><tex-math notation="LaTeX">$_{4}$</tex-math></inline-formula> Platform by Deyue Ma, Xiwen He, Chen Zhou, Mingyue Xiao, Jiqiao Liu, Weibiao Chen, Zhiping Zhou

“…We propose a novel design of hybrid multi-band wavelength/polarization/mode (de)multiplexer based on 800 nm thick Si<inline-formula><tex-math notation="LaTeX">$_{3}$</tex-math></inline-formula>N<inline-formula><tex-math notation="LaTeX">$_{4}$</tex-math></inline-formula> platform. …”
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Gradient formulae for probability functions depending on a heterogenous family of constraints by van Ackooij, Wim, Pérez-Aros, Pedro

“…In particular we formally establish a (sub)-gradient formulæ for probability functions depending on a family of non-convex quadratic inequalities. …”
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<inline-formula><tex-math notation="LaTeX">$\mathrm{D}^{3}$</tex-math></inline-formula>T: Deep Denoising Dictionary Tensor for Hyperspectral Anomaly Detection by Qiangqiang Shen, Zonglin Liu, Hanzhang Wang, Yanhui Xu, Yongyong Chen, Yongsheng Liang

“…However, existing HAD approaches construct the low-rank representation by a handcrafted dictionary that still contains the anomalies, resulting in an inferior representation. To this end, we propose a deep denoising dictionary tensor for hyperspectral anomaly detection (<inline-formula><tex-math notation="LaTeX">$\mathrm{D}^{3}$</tex-math></inline-formula>T), which can balance performance and interpretability by fusing two intuitive priors, i.e., low-rankness and deep denoising, into the dictionary tensor and coefficient tensor. …”
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Effects of nitrogen, phosphorus and potassium formula fertilization on the yield and berry quality of blueberry. by Xinyu Zhang, Shuangshuang Li, Xiaoli An, Zejun Song, Yunzheng Zhu, Yi Tan, Xiaolan Guo, Delu Wang

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Proof of Some Conjectures of Melham Using Ramanujan’s  1ψ1 Formula by Bipul Kumar Sarmah

“…We employ Ramanujan's  1ψ1 formula to prove three conjectures of R. …”
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Correction: Effects of nitrogen, phosphorus and potassium formula fertilization on the yield and berry quality of blueberry. by Xinyu Zhang, Shuangshuang Li, Xiaoli An, Zejun Song, Yunzheng Zhu, Yi Tan, Xiaolan Guo, Delu Wang

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UMA LEITURA CRÍTICA DO BINARISMO NAS FÓRMULAS DE SEXUAÇÃO DE LACAN by Danilo Martins Vitagliano

“…Aliado a isso, recorremos a um dos temas que são escritos pelas fórmulas, a inexistência da relação sexual, a qual, como Lacan propõe, vem a substituir o princípio aristotélico da não-contradição para a psicanálise, aparecendo como a impossibilidade de se constituir uma unidade entre o que poderia ser dito de uma essência e de uma existência, cópula nunca satisfeita entre sujeito e significante, restando sempre como não-todo, entendimento que, a partir da lógica da sexuação, pode nos dizer de uma diferença pura, sempre contraditória e paradoxal, dos modos de se constituir o sexual. …”
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Yeokwisan: Standardised Herbal Formula Enhancing Gastric Mucosal Protection Against Gastric Ulcers in Mice, a Preclinical Study by Yun Mi Lee, Kyuhyung Jo, So Yeon Kim, Chang-Seob Seo, Eunjung Son, Aejin Kim, Dong-Seon Kim

“…YWS showed gastroprotective effects through histamine downregulation, while prostaglandin E2 (PGE2) and mucin were upregulated. The mRNA levels of H2R, M3R, CCK2R, and H⁺/K⁺ ATPase were significantly decreased following treatment with YWS. …”
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Robust <inline-formula><tex-math notation="LaTeX">$H_\infty$</tex-math></inline-formula> Fault-Tolerant Observer-Based PID Path Tracking Control of Autonomous Ground Vehicle With Control Saturation by Bor-Sen Chen, Hao-Ting Liu, Ruei-Syuan Wu

“…In this study, a robust <inline-formula><tex-math notation="LaTeX">$H_\infty$</tex-math></inline-formula> observer-based PID path tracking control strategy is proposed for Autonomous Ground Vehicle (AGV) to efficiently attenuate the effect of external disturbance, actuator/sensor fault signals, and control saturation to achieve the robust path tracking design. …”
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Treatment with Herbal Formula Extract in the hSOD1G93A Mouse Model Attenuates Muscle and Spinal Cord Dysfunction via Anti-Inflammation by Eun Jin Yang, Sun Hwa Lee, Mudan Cai

“…Herbal formula extract (HFE) (1 mg/g) were orally administered once daily for six weeks, starting at eight weeks of age, in hSOD1G93A transgenic mice. …”
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Enhanced formula-based method to estimate burnup, initial enrichment, and cooling time using limited gamma-ray source data of reference PWR spent nuclear fuel assemblies by Sang Hyeok Lee, Jae Hak Cheong

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Explorando a Sequência de Padovan mediante investigação histórica e abordagem epistemológica by Renata Passos Machado Vieira, Francisco Régis Vieira Alves

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Energy intake insufficiency due to underestimated energy requirement by common predictive formulas can be identified by urinary amino acid levels in advanced heart failure by Yoko Sakamoto, Tomohito Ohtani, Kei Nakamoto, Fusako Sera, Shungo Hikoso, Yasushi Sakata

“…We compared these values with commonly-used formulas and analyzed the associations between REE per body weight (REEBW) and parameters related to hemodynamics and HF severity. …”
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Nouvelles considérations sur les Algonquins et le totémisme by Emmanuel Désveaux

“…This observation leads to the idea of building a full Algonquin « totemic » system, that is finaly achieved using a Klein’s group and the canonical formula of myths. …”
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Estimation of Forest Leaf Area Index Based on GEE Data Fusion Method by Xinyi Liu, Li He, Zhengwei He, Yun Wei

“…The study demonstrated that incorporating canopy heights into the estimation model led to an <inline-formula><tex-math notation="LaTeX">$R^{2}$</tex-math></inline-formula> model accuracy of greater than 0.83. …”
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