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    Optimal Bounds for Gaussian Arithmetic-Geometric Mean with Applications to Complete Elliptic Integral by Hua Wang, Wei-Mao Qian, Yu-Ming Chu

    Published 2016-01-01
    “…As applications, we find several new bounds for the complete elliptic integrals of the first and second kind.…”
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    Inequalities between Arithmetic-Geometric, Gini, and Toader Means by Yu-Ming Chu, Miao-Kun Wang

    Published 2012-01-01
    “…We find the greatest values p1, p2 and least values q1, q2 such that the double inequalities Sp1(a,b)<M(a,b)<Sq1(a,b) and Sp2(a,b)<T(a,b)<Sq2(a,b) hold for all a,b>0 with a≠b and present some new bounds for the complete elliptic integrals. Here M(a,b), T(a,b), and Sp(a,b) are the arithmetic-geometric, Toader, and pth Gini means of two positive numbers a and b, respectively.…”
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    Computational thinking skills in mathematics: A study of social arithmetic by Budi Mulyono, Hapizah, Dian Cahyawati Sukanda

    Published 2024-12-01
    “…Despite its significance, the integration of CT in mathematics education, particularly in secondary school curricula, remains insufficiently explored, leading to a gap in understanding students' proficiency in CT skills. …”
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    HINDU MATHEMATICS IN MODERN ARITHMETIC: ASSESSING STUDENT AWARENESS AND UNDERSTANDING by Muhammad Nabil, Yulyanti Harisman

    Published 2025-04-01
    “… Hindu mathematics has made foundational contributions to the development of modern arithmetic, particularly through the introduction of the decimal number system and the concept of zero. …”
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    TFHE Gets Real: an Efficient and Flexible Homomorphic Floating-Point Arithmetic by Loris Bergerat, Ilaria Chillotti, Damien Ligier, Jean-Baptiste Orfila, Samuel Tap

    Published 2025-03-01
    “…In this paper, we focus on TFHE and develop novel homomorphic operators designed to enable the construction of precise and adaptable homomorphic floating-point operations. Integrating floating-point arithmetic within the context of FHE is particularly challenging due to constraints such as small message space and the lack of information during computation. …”
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    Yupana Inka Tawa Pukllay arithmetic eye tracking analysis: novices by Rosario Guzman-Jimenez, Dhavit Prem, Alvaro Saldívar, Eduardo Alejandro Escotto-Córdova

    Published 2025-05-01
    “…This dual nature is evident in the Inca numerical system, where tools like the yupana integrate abstract numerical concepts with concrete materials. …”
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    Arithmetic Logic Unit Circuit Based on Zinc Oxide Nanogap Schottky Diodes by Zhanibek Bizak, Harold F. Mazo‐Mantilla, Linqu Luo, Camelia Florica, Georgian Melinte, Thomas D. Anthopoulos, Khaled N. Salama

    Published 2025-08-01
    “…In this work, the large throughput and cost‐effective adhesion lithography in tandem with the solution‐based method is used to fabricate integrated functional circuits for Arithmetic Logic Unit (ALU). …”
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    Wafer-scale radio frequency ZnO Schottky diodes and arithmetic circuits by Harold F. Mazo-Mantilla, Zhanibek Bizak, Linqu Luo, Hendrik Faber, Camelia Florica, Suman Mandal, Atif Shamim, Khaled N. Salama, Thomas D. Anthopoulos

    Published 2025-07-01
    “…By integrating several such logic gates, we demonstrated fully functional monolithic 2-bit Half-Adder circuits, the primary component of an arithmetic logic unit. …”
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    Modularity of arithmetic special divisors for unitary Shimura varieties (with an appendix by Yujie Xu) by Congling Qiu, Yujie Xu

    Published 2025-01-01
    “…We construct explicit generating series of arithmetic extensions of Kudla’s special divisors on integral models of unitary Shimura varieties over CM fields with arbitrary split levels and prove that they are modular forms valued in the arithmetic Chow groups. …”
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    Cultural insights into arithmetic sequences: A study of chinese zodiac and its elements by Gusti Ayu Made Arna Putri, Ni Putu Ayu Mirah Mariati, I Ketut Suwija

    Published 2024-12-01
    “…The findings reveal that the determination of the Chinese zodiac and its elements involves fundamental mathematical operations such as multiplication, addition, and modular arithmetic. This study not only demonstrates the inherent mathematical reasoning within cultural traditions but also contributes to the broader discourse on mathematics education by integrating cultural contexts into learning. …”
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    Realization of Arithmetic Logic Units Using Electro-Optic Microring Resonators in Photonic Circuits by Assylkhan Nurgali, Bikash Nakarmi, Carlo Molardi, Ikechi Augustine Ukaegbu

    Published 2025-01-01
    “…This work presents a new approach to designing Arithmetic Logic Units (ALUs) using electro-optic microring resonators. …”
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    The effectiveness of the 'matahari' method in improving basic arithmetic skills of junior high school students by Sutarman Borean, Mindo Hotmaida Sinambela, Marlince Anggelina Siep, Risnauli Y. Nainggolan, Tresya Palungan

    Published 2025-04-01
    “…This study introduces the "Matahari" method an acronym for Matematika Hitung Jari as a novel instructional strategy that integrates finger-counting techniques with repetitive practice to enhance arithmetic fluency. …”
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    High school students' modeling abilities in arithmetic sequences using body weight contexts by Aprida Rosanti, Nyimas Aisyah, Darmawijoyo Darmawijoyo, Siti Lestari, Lintang Fitra Utami

    Published 2024-08-01
    “…Aim: This study aims to assess the ability of high school students to model mathematical problems related to weight changes using arithmetic sequences. The focus is on how well students can understand the problem, identify relevant mathematical concepts, apply these concepts, and explain their results. …”
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