Hermite Polynomials and their Applications Associated with Bernoulli and Euler Numbers by Dae San Kim, Taekyun Kim, Seog-Hoon Rim, Sang Hun Lee

“…We derive some interesting identities and arithmetic properties of Bernoulli and Euler polynomials from the orthogonality of Hermite polynomials. …”
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Study of Vanadium Carbide Structures Based on Ve and Ev-Degree Topological Indices by Abdul Rauf, Saba Maqbool, Muhammad Naeem, Adnan Aslam, Hamideh Aram, Kraidi Anoh Yannick

“…In particular, we have computed the closed forms of Zagreb, Randic, geometric-arithmetic, and atom-bond connectivity (ABC) indices of vanadium carbide structure based on ev and ve degrees. …”
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Numerical Algorithm for Delta of Asian Option by Boxiang Zhang, Yang Yu, Weiguo Wang

“…In particular, we derive a close form solution of Δ of Asian geometric option and use this analytical form as a control to numerically calculate Δ of Asian arithmetic option, which is known to have no explicit close form solution. …”
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Approximate Solution of LR Fuzzy Sylvester Matrix Equations by Xiaobin Guo, Dequan Shang

“…Then we extend the fuzzy linear system into two systems of linear equations according to the arithmetic operations of LR fuzzy numbers. The fuzzy approximate solution of the original fuzzy matrix equation is obtained by solving the crisp linear systems. …”
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Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers by Naveed Khan, Naveed Yaqoob, Mudassir Shams, Yaé Ulrich Gaba, Muhammad Riaz

“…We first introduce the concept of TLDFNs and then study the arithmetic operations on these numbers. We find a method for the ranking of these TLDFNs. …”
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On Reverse Valency Based Topological Characterization of a Chemical Compound by Maria Singaraj Rosary, Samuel Asefa Fufa

“…In this paper, we give explicit expression of the reverse general Randic index, the reverse atom bond connectivity index, the reverse geometric arithmetic index, the reverse forgotten index, the reverse Balaban index, the reverse augmented index, and different types of reverse Zagreb indices of the metal-organic framework M1TPyP-M2 (TPyP = 5, 10, 15, 20-tetrakis (4-pyridyl) porphyrin and M1, M2 = Fe and Co). …”
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Symmetric Blind Decryption with Perfect Secrecy by Juha Partala

“…We also devise a symmetric blind decryption scheme based on modular arithmetic on a ring Zp2, where p is a prime, and show that it satisfies our notion of perfect secrecy.…”
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Changes in Potato Production and Consumption in Poland in 2001-2020 by Anna Kowalska, Klaudia Gurkowa

“…During the development of the data, the basic methods of statistical analysis were used, i.e. correlation, change dynamics, arithmetic mean and standard deviation.…”
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Note on the quadratic Gauss sums by George Danas

“…Let p be an odd prime and {χ(m)=(m/p)}, m=0,1,...,p−1 be a finite arithmetic sequence with elements the values of a Dirichlet character χ  modp which are defined in terms of the Legendre symbol (m/p), (m,p)=1. …”
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On Accuracy of Testing Decryption Failure Rate for Encryption Schemes under the LWE Assumption by Lin Wang, Yang Wang, Huiwen Jia

“…We quantitatively analyze how the floating-point arithmetic and neglecting small probabilities impact the precision, and propose a new effective and efficient test of the failure probability. …”
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Study of Ge-Sb-Te Superlattice Structure Based on Topological Descriptors by Xiujun Zhang, Muhammad Naeem, Abdul Rauf, Adnan Aslam, Zafar Iqbal, Abudulai Issa

“…We have calculated the Zagreb, geometric-arithmetic, Randic, and atom-bond connectivity indices of the Ge-Sb-Te superlattice structure using the ev- and ve-degrees. …”
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On Omega Index and Average Degree of Graphs by Sadik Delen, Musa Demirci, Ahmet Sinan Cevik, Ismail Naci Cangul

“…Average degree of a graph is defined to be a graph invariant equal to the arithmetic mean of all vertex degrees and has many applications, especially in determining the irregularity degrees of networks and social sciences. …”
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On the Origins of Calculation Abilities by A. Ardila

“…Counting, starting with finger sequencing, has been observed in different ancient and contemporary cultures, whereas number representation and arithmetic abilities are found only during the last 5000–6000 years. …”
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On Topological Indices of Fractal and Cayley Tree Type Dendrimers by Muhammad Imran, Abdul Qudair Baig, Waqas Khalid

“…These indices include atom bond connectivity index, geometric arithmetic index and their fourth and fifth versions, Sanskruti index, augmented Zagreb index, first and second Zagreb indices, and general Randic index for α={-1,1,1/2,-1/2}. …”
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Impact Response Prediction Method of Packaging Systems with a Key Component considering Different Excitations and Cushioning Materials by Heye Xiao, ChiZhen Xu, Focai Yuan, Xudong Zhang, Junqiang Bai, Jie Zhou

“…To solve the nonlinear dynamic equations of the models, Newmark method is combined with Newton-Arithmetic mean method to transfer nonlinear equations to the linear discretization equations. …”
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Topological Attributes of Silicon Carbide SiC4-IIi,j Based on Ve-Degree and Ev-Degree by Abid Mahboob, Dalal Alrowaili, Sajid Mahboob Alam, Rifaqat Ali, Muhammad Waheed Rasheed, Imran Siddique

“…In this paper, we have estimated degree-based TIs, namely, ev-degree Zagreb M type index, ev-degree Randic R index, ve-degree atom-bond connectivity ABC index, ve-degree geometric arithmetic index GA, ve-degree harmonic H index, and ve-degree sum-connectivity index for SiC4-IIi,j.…”
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The role of time spent in unpaid domestic work on educational outcomes among adolescents and young adults: quantitative evidence from India by Anupam Sharma, Ankita Shah

“…Findings from survey-adjusted logistic regression models showed that more time spent on unpaid domestic work was associated with greater likelihood of discontinuing education, absenteeism, and lesser likelihood of reading and arithmetic abilities among 12–23 years old, with some evidence of greater burden among girls. …”
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Unique gating strategy identifier based on the Prime Population System and Gödel Numbers by Antonio Cosma

“…This method represents a further step towards the arithmetization of cytometry metadata.…”
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A High-Performance Parallel FDTD Method Enhanced by Using SSE Instruction Set by Dau-Chyrh Chang, Lihong Zhang, Xiaoling Yang, Shao-Hsiang Yen, Wenhua Yu

“…The benchmarks of the SSE acceleration on both the multi-CPU workstation and computer cluster have demonstrated the advantages of (vector arithmetic logic unit) VALU acceleration over GPU acceleration. …”
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Algebro-Geometric Solutions of the Coupled Chaffee-Infante Reaction Diffusion Hierarchy by Chao Yue, Tiecheng Xia

“…Based on the characteristic polynomial of the Lax matrix for the CCIRD hierarchy, we introduce a trigonal curve Km−2 of arithmetic genus m−2, from which the corresponding Baker-Akhiezer function and meromorphic functions on Km−2 are constructed. …”
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