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Journal articles on the topic 'Balanced Ternary Designs'

Author: Grafiati

Published: 8 September 2023

Last updated: 25 July 2025

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1

Sarvate, D. G. "Constructions of balanced ternary designs." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 48, no. 2 (1990): 320–32. http://dx.doi.org/10.1017/s1446788700035710.

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AbstractA construction for balanced ternary designs is given. Based on the designs so obtained, a construction of partially balanced ternary designs is given, which gives balanced ternary designs and series of symmetric balanced ternary designs in special cases.

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2

Tyagi, B. N., and S. K. Rizwi. "Construction of Balanced Ternary Designs with Nested Rows and Columns Using BIB Designs." Calcutta Statistical Association Bulletin 48, no. 1-2 (1998): 115–18. http://dx.doi.org/10.1177/0008068319980112.

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3

Agarwal, G. G., and Sanjay Kumar. "CONSTRUCTION OF BALANCED TERNARY DESIGNS." Australian Journal of Statistics 28, no. 2 (1986): 251–55. http://dx.doi.org/10.1111/j.1467-842x.1986.tb00605.x.

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4

Kaski, Petteri, and Patric R. J. Östergård. "Enumeration of balanced ternary designs." Discrete Applied Mathematics 138, no. 1-2 (2004): 133–41. http://dx.doi.org/10.1016/s0166-218x(03)00276-2.

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5

Donovan, Diane M. "Topics in balanced ternary designs." Bulletin of the Australian Mathematical Society 37, no. 2 (1988): 311–12. http://dx.doi.org/10.1017/s0004972700026861.

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6

Chiranjeevi, P., B. Sulochana, and P. Jyostna. "Modified Slope Rotatability for Balanced Ternary Designs of Second Order Response Surfaces." Indian Journal Of Science And Technology 17, no. 29 (2024): 2967–71. http://dx.doi.org/10.17485/ijst/v17i29.1219.

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Objective: To evaluate the best optimal solutions of modified Second Order Slope Rotatable Designs (SOSRD) using Balanced Ternary Designs (BTD) and to compare with different methods of Modified SOSRD for 3≤v≤8. Methods: To estimate the parameters of the response surface design of second order the principle of least squares was applied for design of experiments, we also evaluated modified slope rotatable value and variance of estimated responses. Findings: The outcome of this research reveals the influence of various design parameters on key aspects such as the variance of the estimated respons

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7

Ceranka, Bronisław, and Małgorzata Graczyk. "New Results Regarding the Construction Method for D‑optimal Chemical Balance Weighing Designs." Acta Universitatis Lodziensis. Folia Oeconomica 4, no. 349 (2020): 129–41. http://dx.doi.org/10.18778/0208-6018.349.08.

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We study an experiment in which we determine unknown measurements of p objects in n weighing operations according to the model of the chemical balance weighing design. We determine a design which is D‑optimal. For the construction of the D‑optimal design, we use the incidence matrices of balance incomplete block designs, balanced bipartite weighing designs and ternary balanced block designs. We give some optimality conditions determining the relationships between the parameters of a D‑optimal design and we present a series of parameters of such designs. Based on these parameters, we will be ab

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8

Ghosh, D. K., and K. S. Joshi. "Construction of Variance Balanced Designs through Triangular PBIB Designs." Calcutta Statistical Association Bulletin 45, no. 1-2 (1995): 111–18. http://dx.doi.org/10.1177/0008068319950107.

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Several authors have obtained variance balanced (VB) and ternary variance balanced ( V B) designs using balanced incomplete block (BIB) designs and group divisible (GD) designs. In the present investigation, another systematic methods have been developed for the construction of VB designs using A Triangular PBIB design and an incomplete block design where the blocks of the incomplete block design are formed by taking the second associate treatments of the given triangular PBIB design. Two Triangular PBIB designs. The methods of construction of VB designs are further illustrated by examples.

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9

Billington, Elizabeth J., A. Khodkar, and E. S. Mahmoodian. "Balanced ternary designs with block size four." Journal of Statistical Planning and Inference 37, no. 1 (1993): 95–126. http://dx.doi.org/10.1016/0378-3758(93)90082-h.

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10

Misra, B. L. "A note on partially balanced ternary designs." Periodica Mathematica Hungarica 19, no. 1 (1988): 33–39. http://dx.doi.org/10.1007/bf01848006.

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11

Graczyk, Małgorzata, and Malwina Janiszewska. "Remarks about a construction method for D-optimal chemical balance weighing designs." Biometrical Letters 56, no. 2 (2019): 215–38. http://dx.doi.org/10.2478/bile-2019-0012.

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SummaryThis paper presents some constructions of regular D-optimal weighing designs based on the incidence matrices of a balanced incomplete block design, balanced bipartite weighing design and ternary balanced block design. We determine optimality conditions and relations between the parameters of the design, and give an example.

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12

Donovan, Diane. "A family of balanced ternary designs with block size four." Bulletin of the Australian Mathematical Society 33, no. 3 (1986): 321–27. http://dx.doi.org/10.1017/s0004972700003889.

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13

P, Chiranjeevi, Sulochana B, and Jyostna P. "Modified Slope Rotatability for Balanced Ternary Designs of Second Order Response Surfaces." Indian Journal of Science and Technology 17, no. 29 (2024): 2967–71. https://doi.org/10.17485/IJST/v17i29.1219.

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Abstract <strong>Objective:</strong> To evaluate the best optimal solutions of modified Second Order Slope Rotatable Designs (SOSRD) using Balanced Ternary Designs (BTD) and to compare with different methods of Modified SOSRD for 3≤v≤8. <strong>Methods:</strong> To estimate the parameters of the response surface design of second order the principle of least squares was applied for design of experiments, we also evaluated modified slope rotatable value and variance of estimated responses. <strong>Findings:</strong> The outcome of this research reveals the influenc

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14

Donovan, D. "More balanced ternary designs with block size four." Journal of Statistical Planning and Inference 17 (1987): 109–33. http://dx.doi.org/10.1016/0378-3758(87)90105-4.

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15

Sarvate, Dinesh G., and Jennifer Seberry. "Constructions of balanced ternary designs based on generalized Bhaskar Rao designs." Journal of Statistical Planning and Inference 34, no. 3 (1993): 423–32. http://dx.doi.org/10.1016/0378-3758(93)90149-z.

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16

Aggarwal, Manohar, and Mithilesh Kumar Jha. "Some Constructions of Balanced Ternary Residual Treatment Effects Designs." Journal of Statistical Theory and Practice 4, no. 4 (2010): 699–710. http://dx.doi.org/10.1080/15598608.2010.10412013.

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17

Fanning, J. D. "Symmetric balanced ternary designs with ϱ1 = 1 or 2". Aequationes Mathematicae 47, № 2-3 (1994): 143–49. http://dx.doi.org/10.1007/bf01832955.

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18

Fanning, J. D. "Symmetric balanced ternary designs with ϱ1=1 or 2". Aequationes Mathematicae 47, № 1 (1994): 119. http://dx.doi.org/10.1007/bf01838146.

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19

Ambroży, Katarzyna, and Bronisław Ceranka. "A note on the relations between two ternary balanced block designs and chemical balance weighing designs." Discussiones Mathematicae Probability and Statistics 21, no. 1 (2001): 5. http://dx.doi.org/10.7151/dmps.1016.

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20

Sapam, Sobita, B. K. Sinha, and N. K. Mandal. "Combined Intra- and Inter- Block Analysis of Balanced Ternary Designs." Journal of Statistical Theory and Applications 17, no. 1 (2018): 91. http://dx.doi.org/10.2991/jsta.2018.17.1.7.

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21

Billington, Elizabeth J. "Balanced ternary designs with block size three, any Λ and anyR". Aequationes Mathematicae 29, № 1 (1985): 244–89. http://dx.doi.org/10.1007/bf02189832.

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22

Haq, Shams Ul, Maedeh Orouji, Tabassum Khurshid, and Erfan Abbasian. "An efficient design methodology for a tri-state multiplier circuit in carbon nanotube technology." Physica Scripta 100, no. 1 (2024): 015008. https://doi.org/10.1088/1402-4896/ad9646.

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Abstract This study delves into the computational aspects of ternary logic and the use of carbon nanotube field-effect transistors (CNTFETs) to develop an energy-efficient and robust ternary multiplier (TMUL). Leveraging the exceptional qualities of CNTFETs, such as balanced electron and hole mobility and easy modulation of threshold voltage, the research aims to achieve the desired designs. An innovative design method is employed, recommending a reduced count of logic gates for achieving necessary logic levels. These gates are then utilized to manage the activation and deactivation of the pri

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23

Billington, Elizabeth J., and D. G. Hoffman. "The number of repeated blocks in balanced ternary designs with block size three II." Discrete Mathematics 92, no. 1-3 (1991): 25–37. http://dx.doi.org/10.1016/0012-365x(91)90264-3.

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24

Ullah, Inayat, Zahid Ullah, and Jeong-A. Lee. "EE-TCAM: An Energy-Efficient SRAM-Based TCAM on FPGA." Electronics 7, no. 9 (2018): 186. http://dx.doi.org/10.3390/electronics7090186.

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Ternary content-addressable memories (TCAMs) are used to design high-speed search engines. TCAM is implemented on application-specific integrated circuit (native TCAMs) and field-programmable gate array (FPGA) (static random-access memory (SRAM)-based TCAMs) platforms but both have the drawback of high power consumption. This paper presents a pre-classifier-based architecture for an energy-efficient SRAM-based TCAM. The first classification stage divides the TCAM table into several sub-tables of balanced size. The second SRAM-based implementation stage maps each of the resultant TCAM sub-table

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25

Wang, Xiaoyuan, Xinrui Zhang, Chuantao Dong, Shimul Kanti Nath, and Herbert Ho-Ching Iu. "Design and Application of Memristive Balanced Ternary Univariate Logic Circuit." Micromachines 14, no. 10 (2023): 1895. http://dx.doi.org/10.3390/mi14101895.

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This paper proposes a unique memristor-based design scheme for a balanced ternary digital logic circuit. First, a design method of a single-variable logic function circuit is proposed. Then, by combining with a balanced ternary multiplexer, some common application-type combinational logic circuits are proposed, including a balanced ternary half adder, multiplier and numerical comparator. The above circuits are all simulated and verified in LTSpice, which demonstrate the feasibility of the proposed scheme.

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26

Bhagwandas and K. K. Singh Meitei. "Some Constructions of Partially Balanced Ternary Design*." Calcutta Statistical Association Bulletin 39, no. 1-2 (1990): 111–16. http://dx.doi.org/10.1177/0008068319900112.

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27

Rajyalakshmi, K., and M. Varalakshmi. "Measure of Rotatability for a Class of Balanced Ternary Design." Communications in Mathematics and Applications 13, no. 3 (2022): 1109–17. http://dx.doi.org/10.26713/cma.v13i3.1823.

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28

Chattopadhyay, Tanay. "Design of optical reconfigurable balanced ternary arithmetic logic unit using MEMS based design." Optics Communications 356 (December 2015): 123–35. http://dx.doi.org/10.1016/j.optcom.2015.07.035.

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29

SU, Wei. "Two Classes of New Zero Difference Balanced Functions from Difference Balanced Functions and Perfect Ternary Sequences." IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E100.A, no. 3 (2017): 839–45. http://dx.doi.org/10.1587/transfun.e100.a.839.

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30

Duarte, Belmiro P. M., Anthony C. Atkinson, José F. O. Granjo, and Nuno M. C. Oliveira. "Optimal Design of Experiments for Liquid–Liquid Equilibria Characterization via Semidefinite Programming." Processes 7, no. 11 (2019): 834. http://dx.doi.org/10.3390/pr7110834.

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Liquid–liquid equilibria (LLE) characterization is a task requiring considerable work and appreciable financial resources. Notable savings in time and effort can be achieved when the experimental plans use the methods of the optimal design of experiments that maximize the information obtained. To achieve this goal, a systematic optimization formulation based on Semidefinite Programming is proposed for finding optimal experimental designs for LLE studies carried out at constant pressure and temperature. The non-random two-liquid (NRTL) model is employed to represent species equilibria in both p

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31

Sui, Xuefu, Qunbo Lv, Changjun Ke, et al. "Adaptive Global Power-of-Two Ternary Quantization Algorithm Based on Unfixed Boundary Thresholds." Sensors 24, no. 1 (2023): 181. http://dx.doi.org/10.3390/s24010181.

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In the field of edge computing, quantizing convolutional neural networks (CNNs) using extremely low bit widths can significantly alleviate the associated storage and computational burdens in embedded hardware, thereby improving computational efficiency. However, such quantization also presents a challenge related to substantial decreases in detection accuracy. This paper proposes an innovative method, called Adaptive Global Power-of-Two Ternary Quantization Based on Unfixed Boundary Thresholds (APTQ). APTQ achieves adaptive quantization by quantizing each filter into two binary subfilters repr

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32

Akinwande, Abayomi Adewale, Dimitry Moskovskikh, Elena Romanovskaia, Oluwatosin Abiodun Balogun, J. Pradeep Kumar, and Valentin Romanovski. "Applicability of Extreme Vertices Design in the Compositional Optimization of 3D-Printed Lightweight High-Entropy-Alloy/B4C/ZrO2/Titanium Trihybrid Aero-Composite." Mathematical and Computational Applications 28, no. 2 (2023): 54. http://dx.doi.org/10.3390/mca28020054.

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Recent studies have shown the benefits of utilizing ceramic particles as reinforcement in metal alloys; nevertheless, certain drawbacks, including loss of ductility, embrittlement, and decreases in toughness, have been noted. For the objective of obtaining balanced performance, experts have suggested the addition of metal particles as supplement to the ceramic reinforcement. Consequently, high-performance metal hybrid composites have been developed. However, achieving the optimal mix for the reinforcement combination with regards to the optimal performance of developed composite remains a chal

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33

Elvira, Suci, Haryati, and Ishak. "Evaluating design through architectural criticism and sustainability principles: a case study of Modern Plaza Gamalama Ternate." IOP Conference Series: Earth and Environmental Science 1454, no. 1 (2025): 012065. https://doi.org/10.1088/1755-1315/1454/1/012065.

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Abstract This research evaluates the architectural design of Plaza Gamalama through descriptive, interpretative, and functional criticism methods, integrating sustainable material theory. The descriptive analysis focuses on the visual and structural characteristics, including the grid design, multi-story structure, vibrant colors, and traditional clove ornamentation. Interpretative criticism highlights the emotional and aesthetic experiences created by the modern retro design, while functionalism criticism assesses the building’s efficiency and balance between aesthetic and practical aspects.

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34

Ceranka, Bronisław, and Małgorzata Graczyk. "ON D-OPTIMAL CHEMICAL BALANCE WEIGHING DESIGNS." Acta Universitatis Lodziensis. Folia Oeconomica 1, no. 311 (2015). http://dx.doi.org/10.18778/0208-6018.311.08.

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The paper deals with the problem of determining the chemical balance weighing designs satisfying the criterion of D-optimality under assumption that the measurement errors are equal correlated and they have the same variances. The existence conditions and the form of the optimal design are given. Moreover, some construction methods of the design matrices based on the incidence matrices of the balanced incomplete block designs and ternary balanced block designs are presented. Any example of construction is given.

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35

Ceranka, Bronisław, and Małgorzata Graczyk. "CONSTRUCTION METHOD OF A-OPTIMAL CHEMICAL BALANCE WEIGHING DESIGNS." Acta Universitatis Lodziensis. Folia Oeconomica 3, no. 314 (2015). http://dx.doi.org/10.18778/0208-6018.314.06.

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Here, we study the design in that we determine unknown measurements of p objects by used of n measurement operations. For that reason we consider the chemical balance weighing design under assumption that the measurement errors are uncorrelated and they have the same variances. We give new construction method of the A-optimal chemical balance weighing design based on the incidence matrices of the balanced bipartite weighing designs and the ternary balanced block designs. The consequence of the proposed method is widening of possible classes in that A-optimal design exists.

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36

Ceranka, Bronisław, and Małgorzata Graczyk. "A-optimal chemical balance weighing design under certain condition." Advances in Methodology and Statistics 4, no. 1 (2007). http://dx.doi.org/10.51936/skdd5114.

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The paper is studying the estimation problem of individual weights of \(p\) objects using the design matrix \(\mathbf{X}\) of the A-optimal chemical balance weighing design under the restriction \(p_1 + p_2 = q \leq p\), where \(p_1\) and \(p_2\) represent the number of objects placed on the left pan and on the right pan, respectively, in each of the measurement operations. The lower bound of \(\mathrm{Tr}(\mathbf{X}^{\prime}\mathbf{X})^{-1}\) is attained and the necessary and sufficient conditions for this lower bound to be obtained are given. There are given new construction methods of the A

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37

Taheri Monfared, Asma, Valentina Ciriani, and Majid Haghparast. "Balanced Ternary Reversible Comparator for Qutrit Quantum Circuits." Journal of Physics A: Mathematical and Theoretical, June 5, 2025. https://doi.org/10.1088/1751-8121/ade1b8.

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Abstract In recent years, quantum computing has emerged as a leading approach for accelerating complex computations, leveraging quantum parallelism and entanglement to surpass classical limits. Although numerous quantum circuits based on reversible gates have been proposed, optimizing circuit efficiency remains a critical challenge, particularly in the Noisy Intermediate-Scale Quantum (NISQ) era, where error rates and coherence times constrain performance. Ternary quantum computing, which operates on three-level quantum systems (qutrits), offers a promising alternative by reducing circuit comp

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38

"New class of second order rotatable designs using balanced ternary designs." Journal of Mathematical and Computational Science, 2020. http://dx.doi.org/10.28919/jmcs/4847.

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39

E., Kanna. "CONSTRUCTION OF NEW SERIES OF SECOND ORDER ROTATABLE DESIGNS." INDIAN JOURNAL OF APPLIED RESEARCH, November 1, 2019, 1–2. http://dx.doi.org/10.36106/ijar/8712854.

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40

Zhang, Wenjun, Kexin Zhao, Ningfang Zhang та ін. "Backbone Twisting and Terminal Overlapping via π‐Bridge Engineering for Highly Efficient Non‐Fused Ring Electron Acceptors with Balanced J_SC‐V_OC". Advanced Functional Materials, 16 лютого 2025. https://doi.org/10.1002/adfm.202423242.

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AbstractHigh and balanced open‐circuit voltage (VOC) and short‐circuit current density (JSC) are crucial for the efficiency of organic solar cells (OSCs). Generally, the π‐bridge strategy serving as an effective molecular functionalization route with the potential to balance the VOC‐JSC pair. Herein, the study designs and synthesizes three non‐fused ring electron acceptors (NFREAs): 2T‐T‐EH, 2T‐T‐2EH, and 2T‐TT‐2EH, by systematically regulating the π‐bridge at size, number, and position of the lateral alkyl chains. Introducing inner alkyl side chains result in twisted backbones, which elevated

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41

Kumar, K., Jahar Sarkar, and S. S. Mondal. "Multi-Objective Optimization of a Hybrid Battery Thermal Management System Using Response Surface Methodology." Journal of The Electrochemical Society, June 11, 2025. https://doi.org/10.1149/1945-7111/ade3a6.

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Abstract Multi-objective optimization is vital for a hybrid cylindrical Li-ion battery thermal management system to balance multiple competing goals. However, this has not been explored for ternary hybrid nanofluid-cooled microchannel-integrated foam-enhanced phase change material packs. Some key design parameters and objectives were also neglected in previous optimizations. Hence, the high-fidelity numerical model is developed for multi-objective optimization of the key parameters (coolant inlet temperature, mass flow rate, microchannel spacing and metal foam porosity). Response surface metho

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42

Goenka, Aadarsh Ganesh, Shyamali Mitra, Harsh Maheshwari, and Nibaran Das. "Design and simulation of balanced ternary priority encoder." Memories - Materials, Devices, Circuits and Systems, July 2024, 100118. http://dx.doi.org/10.1016/j.memori.2024.100118.

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43

Feng, Wanying, Yuyang Bai, Jia Wang, et al. "Rational Design of Two Well‐Compatible Dimeric Acceptors Through Regulating Chalcogen‐Substituted Conjugated Backbone Enable Ternary Organic Solar Cells with 19.4% Efficiency." Advanced Energy Materials, November 12, 2024. http://dx.doi.org/10.1002/aenm.202404062.

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AbstractTo enhance the performance of dimeric acceptors (DMAs) based organic solar cells (OSCs), two new DMAs, designated as DC9‐HD and DYSe‐3, are rationally developed and employed to fabricate ternary OSCs. The substitution of the sulfur atom on the outer ring of the fused‐ring core of DC9‐HD with a selenium atom resultes in the red‐shifted DYSe‐3. Despite these minor differences, DC9‐HD and DYSe‐3 possess nearly identical conjugated skeletons, which contribute to their similar packing motifs and crystallinities, ultimately enabling a high degree of miscibility between two DMAs. Upon incorpo

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44

Gayathri, Ramesh, Madanan Akshaya, Predhanekar Mohamed Imran та Samuthira Nagarajan. "Design of Triphenylamine‐based D‐π‐A Systems for Efficient Ternary Worm Memory Devices". Chemistry – A European Journal, 26 червня 2024. http://dx.doi.org/10.1002/chem.202402015.

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The impact of various substituent moieties on the molecular framework of a conjugated D‐A system in resistive switching memory property has been scrutinized through an array of novel D‐π‐A molecules. The synthesized molecules with triphenylamine (TPA) as the electron donor and dicyanovinylindanone (IC) as the electron acceptor demonstrated substantial non‐volatile WORM (Write‐Once Read‐Many) memory behaviour with appreciable ON/OFF current ratios up to 105 and a lowest recorded threshold voltage of ‐0.80 V. The well‐balanced combination of these potent electron donating and accepting units cul

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45

Wang, Yuming, Jianwei Yu, Rui Zhang, et al. "Origins of the open-circuit voltage in ternary organic solar cells and design rules for minimized voltage losses." Nature Energy, July 27, 2023. http://dx.doi.org/10.1038/s41560-023-01309-5.

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AbstractThe power conversion efficiency of ternary organic solar cells (TOSCs), consisting of one host binary blend and one guest component, remains limited by large voltage losses. The fundamental understanding of the open-circuit voltage (VOC) in TOSCs is controversial, limiting rational design of the guest component. In this study, we systematically investigate how the guest component affects the radiative and non-radiative related parts of VOC of a series of TOSCs using the detailed balanced principle. We highlight that the thermal population of charge-transfer and local exciton states pro

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46

Zhang, Hui. "Research on Symbolic Expression and Digital Design Methods of Intangible Cultural Heritage Based on Big Data Analysis." Applied Mathematics and Nonlinear Sciences 10, no. 1 (2025). https://doi.org/10.2478/amns-2025-0719.

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Abstract Based on semiotics theory, combined with Peirce’s ternary semiotics model, the study systematically analyzes the translation process of intangible cultural heritage (ICH) symbols, and explores how to balance ICH cultural heritage and digital innovation design in the process of symbol translation. Using the big data analysis method, the study analyzes the symbolic expression of intangible cultural heritage, the path of symbolic translation, and the effects of digital communication. The study shows that the degree of embodiment of the four symbolic elements, namely, pattern symbol, hist

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