Optimizing oral 3-hydroxybutyrate dosage using pharmacokinetic model to improve cognitive function and mood in healthy subjects by Kentaro Nishioka, Kentaro Nishioka, Kentaro Nishioka, Takahiro Ishimoto, Mariko Sato, Ruki Yasuda, Yumi Nakamura, Hiroshi Watanabe, Toshihide Suzuki, Yudai Araragi, Yukio Kato, Ken-ichi Yoshida, Norihito Murayama

“…In the efficacy study, a randomized, double-blinded, and placebo-controlled crossover trial, the effects of 3-HB at the predicted doses on cognitive function and mood in healthy subjects were assessed by a serial arithmetic test (SAT), the cognitrax, the profile of mood states 2nd edition (POMS2), and fatigue visual analog scale (VAS).ResultsIn the pharmacokinetic study, a one-compartment model that includes saturable and non-saturable absorption pathways, constant biosynthesis, and the linear elimination of 3-HB after oral administration were constructed. …”
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STRUCTURAL AND FUNCTIONAL STATE OF THE MYOCARDIUM AND SYSTEMIC INFLAMMATION ACTIVITY IN PATIENTS WITH ACUTE ST-SEGMENT ELEVATION MYOCARDIAL INFARCTION IN THE PRESENCE OF ARTERIAL H... by Rostyslav Kovalchuk, Uliana Bahan

“…The results were evaluated using descriptive statistical analysis (arithmetic mean and its standard deviation; median and percentile, proportions and their 95 % confidence intervals calculated using the Wald and Fisher methods), unpaired Student's t-test, and Pearson correlation analysis. …”
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The domain-general and domain-specific role of the semantic neural network in mathematical processing by Mengyi Li, Xinlin Zhou

“…The current study compared different types of inductive reasoning with the functional magnetic resonance imaging (fMRI) technique to investigate the role of the semantic network in mathematical processing and whether the role is domain-general or domain-specific. 32 undergraduate students were recruited to complete tasks involving numerical, geometrical, situational, and verbal inductive reasoning, as well as arithmetical computation. The intensity and pattern analysis of brain activation found that all types of inductive reasoning elicited greater and similar activation than arithmetical computation in the semantic network, mainly including the left middle temporal gyrus, inferior frontal gyrus, angular gyrus, and dorsomedial prefrontal cortex. …”
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SYNTHESIS OF BAND-PASS FILTER WITH THE HELP OF SCHEME FUNCTION WITH COMPREHENSIVE COEFFICIENTS by A. V. Bondarenko, V. V. Reznichenko, V. I. Mozhar

“…The paper considers a construction method of arithmetically frequency symmetric band-pass filter on the basis of frequency conversion that results in scheme function with comprehensive coefficients. …”
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Algebraic and categorical properties of r-ideal systems by Aleka Kalapodi, Angeliki Kontolatou

“…The structures (G,r), where r is a system of ideals defined on a directed group G, play an important role in solving arithmetical problems. In this paper, we investigate how some properties of these systems are transferred in their cartesian products and their substructures. …”
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Novel fractional integral inequalities for GA-Cr-convex functions and connections with information systems by Asfand Fahad, Zammad Ali, Shigeru Furuichi, Yuanheng Wang

“…In this paper, we aim to investigate mathematical inequalities for geometrically arithmetically Cr-convex functions (GA-Cr-CFs) via interval-valued Hadamard fractional integral operators (IVHFIOs). …”
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The Approximation of a Modified Baskakov Operator by Ma Yingdian, Wang Weimeng

“…Because of their simple form and high quality, linear arithmetical operators, particularly linear positive operators, are very popular. …”
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Notes on the divisibility of GCD and LCM Matrices by Pentti Haukkanen, Ismo Korkee

“…Let S={x1,x2,…,xn} be a set of positive integers, and let f be an arithmetical function. The matrices (S)f=[f(gcd(xi,xj))] and [S]f=[f(lcm [xi,xj])] are referred to as the greatest common divisor (GCD) and the least common multiple (LCM) matrices on S with respect to f, respectively. …”
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Computing Topological Indices and Polynomials of the Rhenium Trioxide by Shahid Imran, Muhammad Mudassar Raza, Niat Nigar, Syed Ajaz K. Kirmani, Fikre Bogale Petros

“…In the study of mathematical chemistry and chemical graph theory, a topological index, also known as a connectivity index, is the arithmetical framework of a graph that specifies its topology and also graph invariant. …”
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Euler Basis, Identities, and Their Applications by D. S. Kim, T. Kim

“…We show that {E0(x),E1(x),…,En(x)} is a good basis for the space Vn, for our purpose of arithmetical and combinatorial applications. Thus, if p(x)∈ℚ[x] is of degree n, then p(x)=∑l=0nblEl(x) for some uniquely determined bl∈ℚ. …”
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Derived Categories and the Analytic Approach to General Reciprocity Laws—Part II by Michael C. Berg

“…Building on the topological foundations constructed in Part I, we now go on to address the homological algebra preparatory to the projected final arithmetical phase of our attack on the analytic proof of general reciprocity for a number field. …”
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The Impact of Private Equity and Venture Capital Funds on post-IPO Operational and Financial Performance in Brazilian invested companies by Bianca Piloto Sincerre, Joelson Sampaio, Rubéns Famá, Eduardo .S Flores

“…The PE/VC industry is characterized by the function of identifying companies with large return potentials and that grow arithmetically – due to capital constraints – to provide adequate and necessary sources of capital and experience for exponential growth. …”
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A System on a Programmable Chip Architecture for Data-Dependent Superimposed Training Channel Estimation by Fernando Martín del Campo, René Cumplido, Roberto Perez-Andrade, A. G. Orozco-Lugo

“…This work describes a hybrid software-hardware FPGA implementation of a recent algorithm that belongs to the ST family, known as Data-dependent Superimposed Training (DDST), which does not need extra bandwidth for its training sequences (TS) as it adds them arithmetically to the data. DDST also adds a third sequence known as data-dependent sequence, that destroys the interference caused by the data over the TS. …”
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Cooperative UAV Scheduling for Power Grid Deicing Using Fuzzy Learning and Evolutionary Optimization by Yu-Jun Zheng, Zhi-Yuan Zhang, Jia-Yu Yan, Wei-Guo Sheng

“…Uncertain outage risk, collapse risk, and deicing workload of each power line are modeled as fuzzy values predicted by fuzzy deep learning models, and we transform the fuzzy optimization problem into a crisp optimization problem based on fuzzy arithmetics and uncertain theory. We propose an evolutionary algorithm, which combines global search without individual interaction and adaptive local search that uses a fuzzy inference system to determine the operator to be applied on each solution. …”
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Lightweight Word Spacing Model Based on Short Text Messages for Social Networking in Smart Homes by Yeongkil Song, Harksoo Kim

“…In comparative experiments with previous models, the proposed method showed low memory usage (0.79 MB) and high character-unit accuracy (0.9460) without requiring complex arithmetical computations. On the basis of these experiments, we conclude that the proposed system is suitable for information appliances with many hardware limitations.…”
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Comparison of curiosity levels of physical education teachers to the teachers of other branches by Zehra Certel, Ziya Bahadır

“…For the data analyses; descriptive statistics methods such as frequency (n), percentages (%), arithmetical means and standard deviation were used in order to analyze descriptive personal information. …”
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Proposes Geometric Accuracy and Surface Roughness Estimation of Anatomical Models of the Pelvic Area Manufactured Using a Material Extrusion Additive Technique by Paweł Turek, Sławomir Snela, Grzegorz Budzik, Anna Bazan, Jarosław Jabłoński, Łukasz Przeszłowski, Robert Wojnarowski, Tomasz Dziubek, Jana Petru

“…In the case of surface roughness measurement, the highest values for the arithmetical mean height Sa were obtained on the side of the support material, while the smallest values were found along the applied layers. …”
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Scaling of fractured rock flow. Proposition of indicators for selection of DFN based flow models by Davy, Philippe, Le Goc, Romain, Darcel, Caroline, Selroos, Jan-Olof

“…We first studied what the inflow distribution tells us about the permeability structure from a series of analyses: distribution of transmissivities as a function of depth, proportion of flowing sections as a function of section scale, and scaling of the arithmetically-averaged and geometrically-averaged permeability. …”
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An Areal Assessment of Subseafloor Carbon Cycling in Cold Seeps and Hydrate-Bearing Areas in the Northern South China Sea by Yanping Zhang, Min Luo, Yu Hu, Hongbin Wang, Duofu Chen

“…Reaction-transport simulations indicate that the rates of organic matter degradation and carbonate precipitation are comparable in the three areas, while the rates of AOM vary over several orders of magnitude (AOM: 8.3-37.5 mmol·m-2·yr-1 in Dongsha, AOM: 12.4-170.6 mmol·m-2·yr-1 in Xisha, and AOM: 9.4-30.5 mmol·m-2·yr-1 in Shenhu). Both the arithmetical mean and interpolation mean of the biogeochemical processes were calculated in each area. …”
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