Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method by Tetsuo Inoue, Hideo Kuhara, Kaname Amano, Dai Okano

“…The scheme has the characteristic called invariant and dual. Applying the scheme for typical examples, we will show that the numerical results of high accuracy may be obtained.…”
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Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution Equations by Xiangling Li, Azmat Ullah Khan Niazi, Farva Hafeez, Reny George, Azhar Hussain

“…Furthermore, we consider the operator E and show that it is invariant and continuous. Moreover, we provide an application to show the capability of the achieved results.…”
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The Asymptotic Behavior for a Class of Impulsive Delay Differential Equations by Zhichun Yang

“…The new criteria for determining attracting sets and attracting basin of the impulsive system are obtained by developing the properties of quasi-invariant sets. Examples and numerical simulations are given to illustrate the effectiveness of our results. …”
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The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications by Marwan Amin Kutbi, Wutiphol Sintunavarat

“…Further, the fixed point theorems endowed with an arbitrary binary relation are also derived from our results. …”
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On Counting and Embedding a Subclass of Height-Balanced Trees by Indhumathi Raman

“…A height-balanced tree is a rooted binary tree in which, for every vertex v, the difference in the heights of the subtrees rooted at the left and right child of v (called the balance factor of v) is at most one. …”
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Persistent Post-COVID-19 Olfactory Dysfunction and Its Association with Autonomic Nervous System Function: A Case–Control Study by Lojine Ayoub, Abeer F. Almarzouki, Rajaa Al-Raddadi, Mohamed A. Bendary

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Similarity Solution for Fractional Diffusion Equation by Jun-Sheng Duan, Ai-Ping Guo, Wen-Zai Yun

“…In this paper, the similarity solution of the fractional diffusion equation was considered. Through the invariants of the group of scaling transformations we derived the integro-ordinary differential equation for the similarity variable. …”
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Infinitely Many Sign-Changing Solutions for Some Nonlinear Fourth-Order Beam Equations by Ying Wu, Guodong Han

“…In particular, an infinitely many sign changing solution theorem is established. The method of the invariant set of decreasing flow is employed to discuss this problem.…”
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Parametric Methodologies for Detecting Changes in Maximum Temperature of Tlaxco, Tlaxcala, México by Silvia Herrera Cortés, Bulmaro Juárez Hernández, Victor Hugo Vázquez Guevara, Hugo Adán Cruz Suárez

“…Methodologies considered are likelihood ratio test, score test, and binary segmentation (BS), pruned exact linear time (PELT), and segment neighborhood (SN). …”
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A Class of PDEs with Nonlinear Superposition Principles by Li Peng, Liu Keying, Pan Zuliang, Zhong Weizhou

“…Through assuming that nonlinear superposition principles (NLSPs) are embedded in a Lie group, a class of 3rd-order PDEs is derived from a general determining equation that determine the invariant group. The corresponding NLSPs and transformation to linearize the nonlinear PDE are found, hence the governing PDE is proved C-integrable. …”
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Development of algorithm for segmentation of handwritten text using masks by V. Yu. Kobenko, S. O. Frolov, V. I. Talalayev

“…Describes common methods of segmentation, allowing to solve this problem: method of color image analysis the binary image segmentation method of fixing level, as well as, a method for the separation and analysis of circuits. …”
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Combinatorial polarization, code loops, and codes of high level by Petr Vojtechovský

“…The construction yields binary codes of high divisibility level with prescribed Hamming weights of intersections of codewords.…”
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Lie Symmetry Analysis for the General Classes of Generalized Modified Kuramoto-Sivashinsky Equation by Rong Qi, Muhammad Mobeen Munir, Nazish Younas, Muhammad Idrees, Jia-Bao Liu

“…We also compute transformed equivalent equations and some invariant solutions of this equation.…”
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Spectrum and Generation of Solutions of the Toda Lattice by D. Barrios Rolanía, J. R. Gascón Márquez

“…First, under certain conditions the invariance of the spectrum of J(t) is established in the complex case. …”
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Osmanlı Devletinin “İslam Birliği” Siyaseti: Ortadoğu’nun Osmanlılaşması by Mustafa ALKAN

“…Osmanlı Devleti, yerel unsurların iç dinamiklerini dikkate alarak bir idarî ni­zam kurmuştur. Bu idarî nizam, bölgedeki yerel unsurları “Osmanlı Millet Sistemi” içinde birleştirmiş, idarî olarak Osmanlılaştırmıştır, denilebilir. …”
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Boundedness and Global Attractivity of a Higher-Order Nonlinear Difference Equation by Xiu-Mei Jia, Wan-Tong Li

“…We investigate the local stability, prime period-two solutions, boundedness, invariant intervals, and global attractivity of all positive solutions of the following difference equation: 𝑦𝑛+1=(𝑟+𝑝𝑦𝑛+𝑦𝑛−𝑘)/(𝑞𝑦𝑛+𝑦𝑛−𝑘), 𝑛∈ℕ0, where the parameters 𝑝,𝑞,𝑟∈(0,∞),𝑘∈{1,2,3,…} and the initial conditions 𝑦−𝑘,…,𝑦0∈(0,∞). …”
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Classical Lie Point Symmetry Analysis of a Steady Nonlinear One-Dimensional Fin Problem by R. J. Moitsheki, M. D. Mhlongo

“…We perform preliminary group classification to determine forms of the arbitrary functions appearing in the considered equation for which the principal Lie algebra is extended. Some invariant solutions are constructed. The effects of thermogeometric fin parameter and the exponent on temperature are studied. …”
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Psicopedagogical basis for habilities acquisition. An example of its application through diagnose hability by Luis Alberto Corona Martínez

“…This article seeks to familiarize the professors with some essential concepts: activity, actions, operations, functional invariants; whose understanding is indispensable for the work directed to the formation of abilities. …”
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Doubly slice knots and obstruction to Lagrangian concordance by Chantraine, Baptiste, Legout, Noémie

“…In this short note we observe that a result of Eliashberg and Polterovitch allows to use the doubly slice genus as an obstruction for a Legendrian knot to be a slice of a Lagrangian concordance from the trivial Legendrian knot with maximal Thurston–Bennequin invariant to itself. This allows to obstruct concordances from the Pretzel knot $P(3,-3,-m)$ when $m\ge 4$ to the unknot. …”
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The Gibbs Fundamental Relation as a Tool for Relativity by Friedrich Herrmann, Michael Pohlig

“…We will study the transformations of temperature and chemical potential, show how to obtain the corresponding transformation equations with little effort, and exploit the fact that the energy conjugate extensive quantities, namely entropy and amount of substance, are Lorentz-invariant.…”
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