The provability of some weak forms of the induction axiom by Livija Maliaukienė

“… In this paper the provability of some weak induction axioms in the multiplicative arithmetic is proved. …”
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Improving Regional Dynamic Downscaling with Multiple Linear Regression Model Using Components Principal Analysis: Precipitation over Amazon and Northeast Brazil by Aline Gomes da Silva, Claudio Moises Santos e Silva

“…Therefore, numerous techniques have been tested in order to generate more reliable predictions, and two techniques have excelled in science: dynamic downscaling, through regional models, and ensemble prediction, combining different outputs of climate models through the arithmetic average, in other words, a postprocessing of the output data species. …”
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The local limit theorem of large deviations for multiplicative functions by Rimantas Skrabutėnas

“… In the present paper we continue investigation of the local distribution of multiplicative ari­thmetic functions from the class M(G). A local theorem of large deviations is obtained. …”
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Local distributions of multiplicative functions by Rimantas Skrabutėnas

“… In the present paper the local distribution laws of values of multiplicative arithmetic functions g : G → R defined on arithmetical semigroups G and belonging to the class M(G) is considered. …”
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The effective use of remainder term estimation in the limit theorems by Rimantas Skrabutėnas

“… We investigate the asymptotic behavior of mean value of multiplicative arithmetic function from the class M1(G). In the present paper the asymptotic formula under special condition on prime elements of Knopfmacher’s semigroup G is obtained. …”
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The influence of the paradoxes on the development of a mathematical results by Livija Maliaukienė

“… In the paper the influence of the paradoxes on the development of a mathematical rezults from the historic standpoint is investigated, including especial importance rezults in the sphere of the provability of the consistency the Peano's arithmetic. …”
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Asymtotical expansions in local limit theorem of large deviations by Rimantas Skrabutėnas

“… We continue investigation of the local distribution of multiplicative arithmetic functions from the class M(G). In the present paper the local limit theorem of large deviations with asymptotical expansion of the principal term is obtained. …”
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Move theorem of the short-cut statistic procedure by Darius Petronaitis, Algimantas Aksomaitis

“… The limit distribution functions are obtained for the extremes difference and extremes arithme­tic average with random indices under nonrandom normalization. …”
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On Certain Inequalities for Neuman-Sándor Mean by Wei-Mao Qian, Yu-Ming Chu

“…We present several new sharp bounds for Neuman-Sándor mean in terms of arithmetic, centroidal, quadratic, harmonic root square, and contraharmonic means.…”
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Performance evaluation of brain state discrimination using near-infrared spectroscopy for brain-computer interface: an exploratory case study by Akira Masuo, Takuto Sakuma, Shohei Kato

“…The utilized mental tasks were mental arithmetic and Japanese word chains. Seventeen trials of the NIRS signal were acquired for each task, and 52 samples with 24-dimensional features per trial data were extracted. …”
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Energy-efficient and fast memristor-based serial multipliers applicable in image processing by Seyed Erfan Fatemieh, Bahareh Bagheralmoosavi, Mohammad Reza Reshadinezhad

“…Multipliers are one of the arithmetic circuits that play a significant role in data-intensive processing applications. …”
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Impact of the Constructivist EDGA Model on Learning Some Basic Volleyball Skills for Middle School Female Students by Amena Kareem Hussein

“…However, the control group obtained the arithmetic mean (26.050, 20.850, 18.150), respectively. …”
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Note on the Lower Bound of Least Common Multiple by Shea-Ming Oon

“…Consider a sequence of positive integers in arithmetic progression with . Denote the least common multiple of by . …”
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The probabilistic number theory and continuum by Vilius Stakėnas

“…The conditions on bn are considered, which imply the regularity of distribution of B(n, α) in arithmetic prog­ressions for almost all α > 0. This allows to develop a piece of probabilistic number theory on sequences B(n, α) for almost all α > 0. …”
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Sequential Properties over Negative Pauli Pascal Table by Eunmi Choi, Jiin Jo

“…For polynomials x+yi and x+y−i satisfying the noncommutative multiplication yx=−xy, let C−1 and N−1 be the arithmetic tables, respectively. We investigate sequential properties of various diagonal sums over the tables C−1 and N−1 and prove that they are types of interlocked Fibonacci sequence and Padovan sequence.…”
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On Generalized Carleson Operators of Periodic Wavelet Packet Expansions by Shyam Lal, Manoj Kumar

“…An application of these theorems as convergence a.e. for the periodic Walsh-type wavelet packet expansion of block function with the help of summation by arithmetic means has been studied.…”
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Evaluating the network security by the Read_Write transition model by LU Zhi-yong1, 2, FENG Chao1, YU Hui2

“…The Read_Write transition model and correlative concepts were presented for the root directory with Read_Write privilege setting; then the model transition function was formalized by the state transition arithmetic operator . Based on the transition model,the network security state transition machine and the network security evaluation model were designed. …”
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New Modification on Heun’s Method Based on Contraharmonic Mean for Solving Initial Value Problems with High Efficiency by Abushet Hayalu Workie

“…In this paper, small modification on Improved Euler’s method (Heun’s method) is proposed to improve the efficiency so as to solve ordinary differential equations with initial condition by assuming the tangent slope as an average of the arithmetic mean and contra-harmonic mean. In order to validate the conclusion, the stability, consistency, and accuracy of the system were evaluated and numerical results were presented, and it was recognized that the proposed method is more stable, consistent, and accurate with high performance.…”
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Study on the Dynamic Parameters of Plantar Pressure Applicable to the Elderly Screened by Delphi Method by YAN Yifeng, OU Jianlin, ZHENG Jiaxing, SUN Chenming, SHANG Yaru, CHEN Zhuoming

“…The final index screening criteria were "the arithmetic mean of total score ≥ the <italic>P</italic>₂₅ of the arithmetic mean" or "the full score ratio of total score ≥ <italic>P</italic>₂₅ of full score ratio" and "coefficient of variation of total score ≤ <italic>P</italic>₇₅ of the coefficient of variation".ResultsThe 24 of 25 experts were actively involved in the initial consultation, and none of these experts reported being unfamiliar with the indicators. …”
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Cognitive load detection through EEG lead wise feature optimization and ensemble classification by Jammisetty Yedukondalu, Kalyani Sunkara, Vankayalapati Radhika, Sivakrishna Kondaveeti, Murali Anumothu, Yadadavalli Murali Krishna

“…It was 97.4% accuracy (AC) at finding cognitive load in the MAT (mental arithmetic task) dataset and 96.1% AC at finding it in the STEW (simultaneous workload) dataset. …”
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