NONLINEAR NYBERG CONSTRUCTION TRANSFORMS OVER ISOMORPHIC REPRESENTATIONS OF FIELDS GALOIS by A. V. Sokolov, O. N. Zhdanov

“…As a criterion of nonlinearity, we measure the distances from the component many-valued functions to the set of Vilenkin–Chrestenson functions that are considered to be the most linear. …”
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Quantitative and intelligent methods for economic forecasts (birth rate time series (Ntl)) by Katerina ZELA

“…This is the main reason that many researchers have in the focus of their research the development of methods for improving the performance of forecasts. Using only a linear or non-linear method is not enough to recognize and model all features and functions of the data. …”
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Completion of the Kernel of the Differentiation Operator by Anatoly N. Morozov

“…In the article, it is constructively shown that jump functions and singular functions \(f\) belong to all spaces \( Y_p ^ 1 \) and \(\Lambda f = 0.\) Consequently, the space of the functions of the bounded variation \(H_1 ^ 1 \) is contained in each \( Y_p ^ 1 ,\) and the differentiation operator on \(H_1^1\) satisfies the relation \(\Lambda f = f^{\; '}.\)Also, we come to the conclusion that every function from the added part of the kernel can be logically named singular.…”
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Evaluation of Multiparameter Likelihoods through Iteration of Two-dimensional Slices by Joel S. Jayson

“…Markov Chain Monte Carlo (MCMC) computation has been the dominant instrument for evaluating multiparameter functions. …”
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Fragmentation of Modern Artistic Narrative (English-Language Prose) by G. I. Lushnikova, T. Yu. Osadchaya

“…The novelty of the research is seen in the fact that the fragmentation of a literary text is studied at different levels — compositional, content-thematic, plot, ideological-figurative, genre, narrative, chronotopic. It has been proved that the forms of implementation of fragmentariness are quite diverse: irregular division of the text, heterogeneity of themes and ideas, lack of linear development of the plot, combination of elements of different genres, the presence of internal polystylism, the use of different types of narration and narrator, violation of the unity of the chronotope. …”
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Effect of Boron Content on Strain-Hardening Exponent in Recycled Steel by Christopher, Senfuka, Paul, Kizito

“…While the elastic zone in the deformation process of materials is mainly represented by a linear function of gradient E, the plastic portion has been characterized by various exponential functions with an exponent n that varies with its chemical composition, the level of work hardening and the material in question among others. …”
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A GPR-Based Test Study on the Influencing Factors of the Dielectric Constant of Cement-Stabilized Macadam Bases by Xue Han, Shifei Cao, Hanhui He

“…There is a good logarithmic correlation between the dielectric constant and the compaction degree of CSMB, and quantitative functions have been established. There is a good linear relationship between the dielectric constant and the unconfined compressive strength of CSMB, and quantitative functions have been established. …”
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Research on Integrated Technology of High Speed Maglev Motoring Control by XU Juan, XIAO Jian, LI Jun, ZHAO Haitao

“…It is deployed in ground motoring substations, and its controlled linear motor stator are deployed along the line. In order to achieve high reliability and high real-time train operation, driving control function is bound to be integrated into motoring system. …”
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Exploring the Potential and Advancements of Circular RNA Therapeutics by Lei Wang, Lianqing Wang, Chunbo Dong, Jialong Liu, Guoxin Cui, Shan Gao, Zhida Liu

“…ABSTRACT Messenger RNA (mRNA) technology is revolutionizing the pharmaceutical industry owing to its superior safety profile, manufacturing capabilities, and potential applications in previously undruggable therapeutic targets. In addition to linear mRNA, such as conventional mRNA, self‐amplifying mRNA, and trans‐amplifying mRNA, circular mRNA has emerged as a promising candidate. …”
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The Regressinator: A Simulation Tool for Teaching Regression Assumptions and Diagnostics in R by Alex Reinhart

“…When students learn linear regression, they must learn to use diagnostics to check and improve their models. …”
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Periodicity in distribution. I. Discrete systems by A. Ya. Dorogovtsev

“…By now, a considerable number of mathematical papers has been devoted to periodic and almost periodic in distribution stochastic processes. …”
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Bubble-Enriched Least-Squares Finite Element Method for Transient Advective Transport by Rajeev Kumar, Brian H. Dennis

“…The least-squares finite element method (LSFEM) has received increasing attention in recent years due to advantages over the Galerkin finite element method (GFEM). …”
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Condensin II interacts with BLM helicase in S phase to maintain genome stability by Brian Rodemoyer, Ganesha Kariyawasam, Veena Subramanian, Kristina Schmidt

“…Abstract Vertebrates possess two condensins, I and II, that are essential for chromosome condensation and segregation. Condensin II has also been implicated in maintaining genome integrity outside of mitosis, though the underlying mechanisms are unclear. …”
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Modeling of Ozone Interactions with Various Air Pollutants and Meteorological Factors Using Jaya and Teaching-Learning Based Optimization (TLBO) Algorithms by Nurcan Öztürk

“…The accuracy of Jaya and TLBO methods has been determined and these methods have been carried out with four different functions: quadratic, exponential, linear and power. …”
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Тotal probability formula for vector Gaussian distributions by V. S. Mukha, N. F. Kako

“…The total probability formula for continuous random variables is the integral of product of two probability density functions that defines the unconditional probability density function from the conditional one. …”
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Speech Emotion Recognition Method Based on Support Vector Machine and Suprasegmental Acoustic Features by D. V. Krasnoproshin, M. I. Vashkevich

“…Model quality was assessed using unweighted average recall (UAR). The use of linear, polynomial and radial basis functions as a kernel in a classifier based on the support vector machine is considered. …”
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Polynomials—Unifying or Fragmenting High School Mathematics? by Jelena Pleština, Željka Milin Šipuš, Matija Bašić

“…In relation to other curricular content the knowledge about polynomials has two-fold importance: (1) contributing to the development of various techniques related to high school algebra and calculus; (2) serving as a fundamental example in the formation of the notion of a function. …”
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Formation control method for multiple flight vehicles based on adaptive dynamic programming by Jie XIAO, Qingpu TANG, Jiale LI, Guofei LI

“…Finally, the effectiveness of the updated parameter approximation scheme, along with the formation controller, is validated through tests on both linear and nonlinear systems. In the linear constant system, the final parameters converge to their optimal values owing to the completeness of the selected basis functions. …”
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Dependence of the detected signal on the kinematic parameters of the satellite in the S-LIGO-E2R space system by I. P. Ohrymenko, Р. V. Petrov, N. N. Kolchevsky

“…The Republic of Belarus has experience in the development, launch and operation of satellites, the use of which can significantly increase the linear dimensions of the gravitational space detector. …”
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Inflammatory imbalance and activation deficits in T cells of myasthenia gravis patients revealed by proteomic profiling by Amol K. Bhandage, Anna Rostedt Punga

“…Despite growing interest in the immunological etiology of MG, few functional studies have addressed the role of T cells, and most existing work has focused on quantifying immune cell subsets using flow cytometry. …”
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