Optimal frequency bands for pupillography for maximal correlation with HRV by Júlio Medeiros, André Bernardes, Ricardo Couceiro, Paulo Oliveira, Henrique Madeira, César Teixeira, Paulo Carvalho

“…Extending the study to 51 participants, including a different experiment focusing on mental arithmetic tasks, validated the previous findings and further refined bands, maintaining effectiveness with a geometric mean correlation of 0.236 and surpassing common frequency bands reported in the existing literature. …”
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On Defining Expressions for Entropy and Cross-Entropy: The Entropic Transreals and Their Fracterm Calculus by Jan A. Bergstra, John V. Tucker

“…Instead of adding conventions or splitting formulae into cases, we create a new algebra of real numbers with two symbols <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>±</mo><mo>∞</mo></mrow></semantics></math></inline-formula> for signed infinite values and a symbol named ⊥ for the undefined. In this resulting arithmetic, entropy, cross-entropy, Kullback–Leibler divergence, and Shannon divergence can be expressed without concerning any further conventions. …”
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Impact of COBIT5 Framework Application in the Efficiency and Effectiveness of Information Technology. “An Applied Analytical study of a sample of Iraqi Private Shareholding Banks”... by Abdul Ridha S. AL-Basri, Adnan Mohammmed

“…Checklist was used to collect research data and to perform statistical analysis, SPSS-19 was used to calculate (arithmetic mean, standard deviation, coefficient of difference, relative importance, T test, F test, R2 determination factor), The results confirmed the existence of a statistically significant correlation and impact of the framework (COBIT5) as an internal control tool in the Iraqi private shareholding banks, in addition to the application of the framework (COBIT5) as an internal control tool helped in the governance and management of banks as well as maximize the value and benefit through the use of technology Information. …”
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A voltage weak node identification method considering fault reconstruction in distribution networks by YANG Junwen, SHANG Lei, YE Xinzhi, LIU Chengxi, DONG Xuzhu

“…Using the IEEE 33-node distribution system as an example for arithmetic analysis, the results show that the proposed method can realize the visual monitoring of the node voltage status and accurately identify the weak nodes.…”
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Application of information technologies for automation management of environmental activity by V. A. Rybak, A. D. Grib, Sh. Ahmad

“…In this direction, indicators of waste-free, resource-intensive, energy-intensive and earth-intensiveness were proposed, which were reduced to a single integral index by the method of logarithmic averaging, which made it possible to increase the sensitivity to changes in terms compared with the arithmetic and geometric averages. To automate the process of collecting, storing, processing and displaying this information, a software tool has also been developed that allows to automate environmental management. …”
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<i>In situ</i> and <i>ex situ</i> variability of phenological and morphological features in <i>Caltha palustris</i> L. under the conditions of the West Siberian forest steppe by Т. I. Fomina

“…Morphometric data were processed in the PAST program using statistical indicators: the arithmetic mean with an error (M ± mM), minimum and maximum values of the trait (lim), and coefficient of variation (Cv). …”
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Multifeature Extraction of Three-Dimensional Topography of Carbon Steel Specimen during Fatigue Process by Tao Liu, Jingxiong Wu, Jingfa Lei, Xue Wang, Bingqi Zhang, Shu Zhang

“…Results show that the arithmetic mean deviation of the surface (Sa), the width of the multifractal spectrum (Δα), and the mean value of surface height distribution (μ) and its standard deviation (δ) increase nonlinearly with the increase of fatigue cycles. …”
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Multi-Kinects fusion for full-body tracking in virtual reality-aided assembly simulation by Yu Wang, Fuxiang Chang, Yuanjie Wu, Ziran Hu, Lihui Li, Pengyu Li, Pu Lang, Shouwen Yao

“…Then, the tracking skeletons from multiple Kinects are fused based on weighted arithmetic average and generalized covariance intersection. …”
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On a problem of Nathanson related to minimal asymptotic bases of order $h$ by Chen, Shi-Qiang, Sándor, Csaba, Yang, Quan-Hui

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Diagnostic validity of the fifth edition of the Wechsler intelligence scales for children in characteristics Neuro-psychology of students with learning disability by Marzieh Shiri Aminlou, Parviz Sharifi Avaradi, Javad Khalatbari

“…The collected data were analyzed using logistic regression analysis and SPSS software (Version 23).The study finally revealed that vocabulary and information tests (from verbal comprehension index), Block design with time point (from Visual-spatial index),arithmetic (from fluid reasoning scale), number span (direct), number span (reverse), picture span, letter-digit sequencing and letter-number sequencing (from working memory scale),and coding, cancellation (random), cancellation (structural), (from Processing speed index), had diagnostic validity.The fifth version of the Wechsler IQ Scales for children has diagnostic validity in the neuropsychological characteristics of students with learning disabilities and can distinguish students with learning disabilities from normal students.…”
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Characterization of Mortality from Diabetes Mellitus in Cienfuegos Province during the First Nine Months of 2020 by Isis Arelis Espinosa Salas, Sara Hernández Malpica, Lourdes Elena Duany Badell, Bárbara Zabala Enrique, Yusimí Cabada Martínez, Leticia Castro Morejón

“…The deceased were compiled taking into account: sex, age, skin color, educational level, place of residence, territorial stratum, disease, associated risk factors and direct causes of death. The arithmetic mean and standard deviation were used. The results are presented in the form of tables and graphs. …”
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Prevalence of specific learning disability in children and its association with somatic symptom disorder – data from a tertiary care centre of South India by Nishanth Rajan, Priya Jose, Peter Prasanth Kumar Kommu, Shanthi Kannan

“…Background: Specific learning disability is one of the neurodevelopmental disorders with problems in one of the basic skills such as reading, writing, and arithmetic. Identifying at an early age can lead to a proper referral and reduce the occurrence of psychosomatic symptoms. …”
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Association between bronchial asthma severity, control level and life quality in children by Alexander Torres Molina

“…Statisticians, absolute frequency, percentage, arithmetic mean and standard deviation were calculated. …”
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A comprehensive literature review of fuzzy differential equations with applications by Kamal Hossain Gazi, Aditi Biswas, Payal Singh, Mostafijur Rahaman, Suman Maity, Animesh Mahata, Sankar Prasad Mondal

“…Fuzzy logic is an effective mathematical tool for defining the sense of non-random uncertainty. Since fuzzy arithmetic differs from its counterparts, it would be more reliable if we use the differential equation to construct models involving uncertain decision parameters. …”
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Comparative Quantitative Study on Phytochemical Contents and Antioxidant Activities of Capsicum annuum L. and Capsicum frutescens L. by Tomi Lois Olatunji, Anthony Jide Afolayan

“…To point out the relationship among the varieties, a dendrogram based on the antioxidative phytochemical contents was constructed using the unweighted pair group method with arithmetic mean (UPMGA) cluster analysis. In all, aqueous extracts gave higher yield while ethanolic extracts showed higher phytochemical content across the varieties. …”
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Analytical Approximate Solutions for the Cubic-Quintic Duffing Oscillator in Terms of Elementary Functions by A. Beléndez, M. L. Alvarez, J. Francés, S. Bleda, T. Beléndez, A. Nájera, E. Arribas

“…To do this, the relationship between the complete elliptic integral of the first kind and the arithmetic-geometric mean is used and the rational harmonic balance method is applied to obtain the periodic solution of the original nonlinear oscillator.…”
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Comparative Analysis of Mechanized Versus Conventional Polishing Protocols for Denture Base Acrylic Resins by Margarida Martins Quezada, Carlos Fernandes, Javier Montero, André Correia, Patrícia Fonseca

“…Profilometric measures were extracted: arithmetic mean height (Pa), skewness (Psk) and kurtosis (Pku). …”
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Design of an Incremental Music Teaching and Assisted Therapy System Based on Artificial Intelligence Attention Mechanism by Dapeng Li, Xiaoguang Liu

“…In this paper, from algorithm design to experimental validation, both in terms of accuracy, the operational difficulty of the experiment, consumption of arithmetic power, and time cost, the unique superiority of the artificial intelligence attention-based combined with incremental music teaching adjunctive therapy system proposed in this paper can be seen in the MS lesion segmentation task.…”
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Predicting Crown-width of Dominant Trees on Teak Plantation from Clonal Seed Orchards in Ngawi Forest Management Unit, East Java by Ronggo Sadono

“…The measured crown radius was used to calculate average crown radius as a quadratic mean of 4-crown radii and crown width as double of average crown radius. The arithmetic mean of the crown width of the 30 dominant trees in each measured compartment was used as the response variable and stand age as the predictor variable. …”
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Effects of Fast Simple Numerical Calculation Training on Neural Systems by Hikaru Takeuchi, Tomomi Nagase, Yasuyuki Taki, Yuko Sassa, Hiroshi Hashizume, Rui Nouchi, Ryuta Kawashima

“…FSNC training was associated with improvements in performance on simple processing speed, speeded executive functioning, and simple and complex arithmetic tasks. FSNC training was associated with a reduction in rGMV and an increase in resting rCBF in the frontopolar areas and a weak but widespread increase in resting rCBF in an anatomical cluster in the posterior region. …”
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