A High-Performance Lossless Compression Scheme for EEG Signals Using Wavelet Transform and Neural Network Predictors by N. Sriraam

“…The error residues are further encoded using a combinational entropy encoder, Lempel-Ziv-arithmetic encoder. Also a new context-based error modeling is also investigated to improve the compression efficiency. …”
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A Compact Representation for 3D Animation Using Octrees and Affine Transformations by Youyou Wang, Guilherme N. DeSouza

“…Finally, an adaptive thresholding, a singular value decomposition for dealing with singularities, and a quantization and arithmetic coding further enhance our proposed method by increasing the compression while maintaining very good signal-noise ratio. …”
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Examination of Psychological Ability Levels of Middle School Students Towards Sports (Sample of Konya City) by Abdullah Sencer Temel, Yalçın Tükel, Davut Atılgan

“…For the purpose of study, arithmetic mean and standard deviation values were determined morever T-test and one-way variance analysis (ANOVA) test were applied to determine the differentiation status of the scores related to variables. …”
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Phenotypic Diversity Assessment of Okra (Abelmoschus Esculentus (L.) Moench) Genotypes in Ethiopia Using Multivariate Analysis by Jemal Mohammed, Wassu Mohammed, Eleni Shiferaw

“…The 36 genotypes were grouped into four distinct clusters from the Euclidean distance matrix using the unweighted pair group method with arithmetic mean (UPGMA). The first cluster contained 24 (66.66%) genotypes, and the second cluster contained 10 (27.77%) of the genotypes. …”
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Exploration of Unggan weaving in Minang culture: An ethnomathematics study by Kusno, Gelvia Yolanda, Sri Supiyati

“…The research results show that Unggan woven fabric contains mathematical elements of geometric transformation (translation, reflection, dilation, symmetry) and arithmetic number patterns. The results of this research can be recommended as material for developing school mathematics teaching materials based on local wisdom. …”
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On (a,1)-Vertex-Antimagic Edge Labeling of Regular Graphs by Martin Bača, Andrea Semaničová-Feňovčíková, Tao-Ming Wang, Guang-Hui Zhang

“…An (a,s)-vertex-antimagic edge labeling (or an (a,s)-VAE labeling, for short) of G is a bijective mapping from the edge set E(G) of a graph G to the set of integers 1,2,…,|E(G)| with the property that the vertex-weights form an arithmetic sequence starting from a and having common difference s, where a and s are two positive integers, and the vertex-weight is the sum of the labels of all edges incident to the vertex. …”
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Linear Programming Problem with Interval Type 2 Fuzzy Coefficients and an Interpretation for Its Constraints by A. Srinivasan, G. Geetharamani

“…In this paper, first, perfectly normal interval type 2 trapezoidal fuzzy numbers with their left-hand and right-hand spreads and their core have been introduced, which are normal and convex; then a new type of fuzzy arithmetic operations for perfectly normal interval type 2 trapezoidal fuzzy numbers has been proposed based on the extension principle of normal type 1 trapezoidal fuzzy numbers. …”
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Lamb Waves in a Functionally Graded Composite Plate with Nonintegral Power Function Volume Fractions by Xiaoshan Cao, Zhen Qu, Junping Shi, Yan Ru

“…The numerical results reveal that the dispersion properties in some regions are changed by the graded property, the phase velocity varies in a nonlinear manner with the gradient coefficient, nondispersion frequency exists in the first mode, and the set of cutoff frequencies is a union of two series of approximate arithmetic progressions. These results provide theoretical guidance not only for the experimental measurement of material properties but also for their nondestructive testing.…”
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Layout Aware Optimization of High Speed Fixed Coefficient FIR Filters for FPGAs by Shahnam Mirzaei, Ryan Kastner, Anup Hosangadi

“…The optimization target platforms are Xilinx Virtex FPGA devices where we compare the implementation results with those produced by Xilinx Coregen, which is based on distributed arithmetic (DA). We observed up to 50% reduction in the number of slices and up to 75% reduction in the number of look up tables (LUTs) for fully parallel implementations compared to DA method. …”
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Automatic Generation of Simulators for Processors Enhanced for Security in Virtualization by Swapneel C. Mhatre, Priya Chandran

“…To demonstrate the use of the simulator generator and the generated simulator, three case studies are considered - simulation of RISC-V with HyperWall, simulation of RISC-V with bit-serial dot-product unit, and simulation of RISC-V with Galois Field arithmetic extension. The paper concludes that the proposed approaches help in accurately simulating the overhead due to security in virtualization and also in providing flexibility to the designer to simulate the desired processor configurations.…”
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Sufficient statistics for the Pareto distribution parameter by I. S. Pulkin, A. V. Tatarintsev

“…In this case, both the sum and the arithmetic mean of the sample can be used as sufficient statistics.…”
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A novel fractional approach to finding the upper bounds of Simpson and Hermite-Hadamard-type inequalities in tensorial Hilbert spaces by using differentiable convex mappings by Zareen A. Khan, Waqar Afzal, Mujahid Abbas, Jongsuk Ro, Najla M. Aloraini

“…Our next step involved developing a variety of new variations of the Hermite and Hadamard inequalities using convex mappings with some special means, specifically arithmetic and geometric means. Furthermore, we developed a number of new fractional identities, which are used in our main findings, by using Riemann-Liouville integrals. …”
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Signal Feature Extraction and Quantitative Evaluation of Metal Magnetic Memory Testing for Oil Well Casing Based on Data Preprocessing Technique by Zhilin Liu, Lutao Liu, Jun Zhang

“…And, based on wavelet transform (WT), the adaptive wavelet denoising method and data smoothing arithmetic are applied in testing the system of MMM. …”
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Multiattribute Group Decision-Making Method in terms of Linguistic Neutrosophic Z-Number Weighted Aggregation Operators by Jun Ye, Rui Yong, Shigui Du

“…Next, we establish the LNZN weighted arithmetic mean (LNZNWAM) and LNZN weighted geometric mean (LNZNWGM) operators and indicate their properties. …”
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Searching for an Added Value of Precipitation in Downscaled Seasonal Hindcasts over East Africa: COSMO-CLM Forced by MPI-ESM by Bedassa R. Cheneka, Susanne Brienen, Kristina Fröhlich, Shakeel Asharaf, Barbara Früh

“…In addition we investigated the potential and real added value for both the RCM and the GCM hindcasts by upscaling (arithmetic mean) the precipitation resolution both in temporal and in spatial scales, over North Ethiopia (EN), South Ethiopia (ES), South Sudan (SS), and Sudan (S). …”
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Corrosion of a chimney liner operated for 130,000 hours by Gwoździk M.

“…Based on the tests, the following parameters were determined: arithmetic mean height, maximum height, height of the highest peak, depth of the lowest depression, root mean square height, skewness, kurtosis.…”
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The Effect of PISA-Based Educational Program on Mathematical Achievement by Mohammad Tashtoush, Aida Qasimi, Nawal Sheerawi, Mamoon AL-Shannaq

“…Notably, significant differences in arithmetic means and standard deviations were observed between the groups, with the experimental group exhibiting markedly higher achievement scores. …”
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An Architecture of 2-Dimensional 4-Dot 2-Electron QCA Full Adder and Subtractor with Energy Dissipation Study by Md. Abdullah-Al-Shafi, Ali Newaz Bahar

“…A competent adder and subtractor circuit can perform a substantial function in devising arithmetic circuits. The future age of digital techniques will exercise QCA as preferred nanotechnology. …”
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Designing an innovative method to determine the degree and level of sprained wrist ligament injury in athletes with wrist injuries by Ahmed Atshan Abdalreda, Ali Jasim Swadi, Maher Mohammad Radhi

“…The researchers used the following means and tools: the personal interview, tests and measurements, a device manufactured to measure the level of the wrist joint ligament injury (measured in degrees). The values of the arithmetic mean and standard deviation of the measurement of flexion down and flexion up showed that there is a great potential for this manufactured device to measure the degree of injury of the joint ligaments among athletes. …”
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Relationship between anthropometric parameters and speed performance: A kinanthropometric research by Metin Can Kalaycı, Ferhat Guleroglu, Huseyin Eroglu

“…Data from the measured of arithmetic means, standard deviation, lowest and highest values was found. …”
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