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Статті в журналах з теми "Pair approach"

Автор: Grafiati

Опубліковано: 10 березня 2023

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1

Habibi, Reza. "Pair Trading: Random Weight Approach." Asian Research Journal of Mathematics 1, no. 2 (January 10, 2016): 1–5. http://dx.doi.org/10.9734/arjom/2016/27315.

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2

Chong, Delano P., and Stephen R. Langhoff. "A modified coupled pair functional approach." Journal of Chemical Physics 84, no. 10 (May 15, 1986): 5606–10. http://dx.doi.org/10.1063/1.449920.

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3

Long, Y., and N. X. Chen. "Pair potential approach for metal/Al2O3interface." Journal of Physics: Condensed Matter 19, no. 19 (April 19, 2007): 196216. http://dx.doi.org/10.1088/0953-8984/19/19/196216.

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4

Gratton, Enrico, and Michelle A. Digman. "The Pair-Correlation Approach to FCS." Biophysical Journal 98, no. 3 (January 2010): 761a. http://dx.doi.org/10.1016/j.bpj.2009.12.4177.

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5

Yoshikawa, Daisuke. "An Entropic Approach for Pair Trading." Entropy 19, no. 7 (June 30, 2017): 320. http://dx.doi.org/10.3390/e19070320.

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6

Goel, Sanjay, and Vanshi Kathuria. "A Novel Approach for Collaborative Pair Programming." Journal of Information Technology Education: Research 9 (2010): 183–96. http://dx.doi.org/10.28945/1290.

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7

Mukhin, S. I., D. Reefman, and L. J. de Jongh. "Local-pair approach to high-Tc superconductivity." Physica Scripta T45 (January 1, 1992): 47–50. http://dx.doi.org/10.1088/0031-8949/1992/t45/009.

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8

Son, Chang-Hwan, and Xiao-Ping Zhang. "Layer-Based Approach for Image Pair Fusion." IEEE Transactions on Image Processing 25, no. 6 (June 2016): 2866–81. http://dx.doi.org/10.1109/tip.2016.2556618.

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9

Jin Xu, Pei-Ning Guo, and Chung-Kuan Cheng. "Sequence-pair approach for rectilinear module placement." IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 18, no. 4 (April 1999): 484–93. http://dx.doi.org/10.1109/43.752931.

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10

Sheikh, J. A. "Broken pair approach to rotating nuclei: Formalism." Physical Review C 43, no. 4 (April 1, 1991): 1733–39. http://dx.doi.org/10.1103/physrevc.43.1733.

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11

Cox, Paul H., and Asim Yildiz. "qq¯pair creation: A field-theory approach." Physical Review D 32, no. 3 (August 1, 1985): 819–20. http://dx.doi.org/10.1103/physrevd.32.819.

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12

Kedžuch, Stanislav, Ján Šimunek, Matej Veis, and Jozef Noga. "Doubly Occupied Pair Coupled Cluster F12 Approach." Journal of Chemical Theory and Computation 16, no. 12 (August 31, 2020): 7372–80. http://dx.doi.org/10.1021/acs.jctc.0c00659.

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13

Guo, Kehua, Yongling Liu, and Guihua Duan. "Differential and Statistical Approach to Partial Model Matching." Mathematical Problems in Engineering 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/249847.

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Анотація:

Partial model matching approaches are important to target recognition. In this paper, aiming at a 3D model, a novel solution utilizing Gaussian curvature and mean curvature to represent the inherent structure of a spatial shape is proposed. Firstly, a Point-Pair Set is constructed by means of filtrating points with a similar inherent characteristic in the partial surface. Secondly, a Triangle-Pair Set is demonstrated after locating the spatial model by asymmetry triangle skeleton. Finally, after searching similar triangles in a Point-Pair Set, optimal transformation is obtained by computing the scoring function in a Triangle-Pair Set, and optimal matching is determined. Experiments show that this algorithm is suitable for partial model matching. Encouraging matching efficiency, speed, and running time complexity to irregular models are indicated in the study.

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14

Moore, Alexandria J., Yuchen Wang, Zixuan Hu, Sabre Kais, and Andrew M. Weiner. "Statistical approach to quantum phase estimation." New Journal of Physics 23, no. 11 (November 1, 2021): 113027. http://dx.doi.org/10.1088/1367-2630/ac320d.

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Abstract We introduce a new statistical and variational approach to the phase estimation algorithm (PEA). Unlike the traditional and iterative PEAs which return only an eigenphase estimate, the proposed method can determine any unknown eigenstate–eigenphase pair from a given unitary matrix utilizing a simplified version of the hardware intended for the iterative PEA (IPEA). This is achieved by treating the probabilistic output of an IPEA-like circuit as an eigenstate–eigenphase proximity metric, using this metric to estimate the proximity of the input state and input phase to the nearest eigenstate–eigenphase pair and approaching this pair via a variational process on the input state and phase. This method may search over the entire computational space, or can efficiently search for eigenphases (eigenstates) within some specified range (directions), allowing those with some prior knowledge of their system to search for particular solutions. We show the simulation results of the method with the Qiskit package on the IBM Q platform and on a local computer.

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15

Bazilevskiy, Mikhail P. "Multi-criteria approach to pair-multiple linear regression models constructing." Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics 21, no. 1 (February 24, 2021): 88–99. http://dx.doi.org/10.18500/1816-9791-2021-21-1-88-99.

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Анотація:

A pair-multiple linear regression model which is a synthesis of Deming regression and multiple linear regression model is considered. It is shown that with a change in the type of minimized distance, the pair-multiple regression model transforms smoothly from the pair model into the multiple linear regression model. In this case, pair-multiple regression models retain the ability to interpret the coefficients and predict the values of the explained variable. An aggregated quality criterion of regression models based on four well-known indicators: the coefficient of determination, Darbin – Watson, the consistency of behaviour and the average relative error of approximation is proposed. Using this criterion, the problem of multi-criteria construction of a pair-multiple linear regression model is formalized as a nonlinear programming problem. An algorithm for its approximate solution is developed. The results of this work can be used to improve the overall qualitative characteristics of multiple linear regression models.

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16

Ellman, Barbara, Cheryl Rampage, and Thelma Jean Goodrich. "A Feminist Therapy Approach Towards "A Standard Pair"." Journal of Feminist Family Therapy 1, no. 1 (February 28, 1989): 45–60. http://dx.doi.org/10.1300/j086v01n01_04.

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17

Barentzen, H., C. I. Ivanov, and M. D. Girardeau. "Pair theory of the Hubbard Hamiltonian: variational approach." Journal of Physics C: Solid State Physics 20, no. 29 (October 20, 1987): 4801–21. http://dx.doi.org/10.1088/0022-3719/20/29/016.

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18

Taut, M. "Distortion of Wigner molecules: a pair function approach." Journal of Physics: Condensed Matter 21, no. 7 (January 19, 2009): 075302. http://dx.doi.org/10.1088/0953-8984/21/7/075302.

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19

Daniel, Patrick, and Kwan Yong Sim. "Spectrum-based Fault Localization: A Pair Scoring Approach." Journal of Industrial and Intelligent Information 1, no. 4 (2013): 185–90. http://dx.doi.org/10.12720/jiii.1.4.185-190.

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20

Kim, Yong-Jihn. "Cooper pair wavefunction approach to the Josephson effect." Journal of Applied Physics 103, no. 10 (May 15, 2008): 103902. http://dx.doi.org/10.1063/1.2932073.

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21

Rahmati, Zahed, and Timothy M. Chan. "A Clustering-Based Approach to Kinetic Closest Pair." Algorithmica 80, no. 10 (June 21, 2017): 2742–56. http://dx.doi.org/10.1007/s00453-017-0338-9.

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22

Nefedov, Maxim, and Vladimir Saleev. "From LO to NLO in the parton Reggeization approach." EPJ Web of Conferences 191 (2018): 04007. http://dx.doi.org/10.1051/epjconf/201819104007.

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Анотація:

We present recent developments of the parton Reggeization approach (PRA), which is based on high-energy factorization of hard processes in the multi-Regge kinematics and Lipatov’s effective theory of Reggeized gluons and Reggeized quarks. The scheme of calculations in the leading order (LO) of the PRA is discussed. We present important examples of LO PRA applications for cross section calculations of multi-scale hard processes, such as pair production of BB¯-mesons, pair production of photons, and pair production of jets. Also the problem of matching of NLO calculations in PRA with NLO results in the Collinear Parton Model is discussed.

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23

Manoppo, Yance, and Djemari Mardapi. "ANALISIS METODE CHEATING PADA TES BERSKALA BESAR." Jurnal Penelitian dan Evaluasi Pendidikan 18, no. 1 (June 1, 2014): 115–28. http://dx.doi.org/10.21831/pep.v18i1.2128.

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Анотація:

Penelitian ini bertujuan untuk mengetahui: (1) karakteristik butir soal Kimia Ujian Nasional berdasarkan teori tes klasik dan teori respon butir; (2) besarnya kecurangan yang terjadi dengan menggunakan Metode Angoff's B-index, Metode Pair1, Metode Pair2, Metode Modified Error Similarity Analysis (MESA) dan Metode G2; (3) metode yang lebih banyak mendeteksi adanya kecurangan dalam pelaksanaan UN Kimia tingkat SMA/MA Negeri tahun pelajaran 2011/2012 di Provinsi Maluku. Hasil analisis dengan pendekatan teori tes klasik menunjukkan 77,5% butir memiliki tingkat kesulitan butir berfungsi baik, 55% butir daya bedanya belum memenuhi syarat, dan 70% butir memiliki pengecoh berfungsi baik dengan indeks reliabilitas tes 0,772. Analisis dengan pendekatan teori respons butir menunjukkan 14 (35%) butir cocok dengan model, fungsi informasi maksimum 11,4069 pada θ = -1,6, dan besarnya kesalahan pengukuran 2,296. Jumlah pasangan yang diduga curang adalah: menurut Metode Angoff's B-index ada 13 pasangan, menurut Metode Pair1 ada 212 pasangan, menurut Metode Pair2 ada 444 pasangan, menurut Metode MESA ada 7 pasangan, dan menurut Metode G2 ada 102 pasangan. Metode yang paling banyak mendeteksi kecurangan secara berturut-turut adalah: Metode Pair2, Metode Pair1, Metode G2, Metode Angoff's B-index, dan Metode MESA. Kata kunci: ujian nasional, karakteristik butir, metode kecurangan ______________________________________________________________ AN ANALYSIS OF METHOD OF CHEATING ON LARGE TEST SCALEAbstract This study aimed to reveal: (1) the characteristics of items of Chemistry Test in National Examination by using the classical test theory and item response theory; (2) the amount of cheating which occured by using Angoff's B-index Method, Pair 1 Method, Pair 2 Method, Modified Error Similarity Analysis (MESA) Method, and G2 Method; (3) the methods that detected more cheating in the implementation of the Chemistry Test in National Examination for high schools in the academic year 2011/2012 in Maluku Province. The results of the analysis with the classical test theory approach show that 77.5% items have item difficulty functioning well, 55% items have discrimination that has not met the requirement yet, and 70% items have distractor that works well with the index reliability test of 0,772. The analysis using the item response theory approach shows that 14 (35%) items fit with the model, the maximum function information is 11,4069 at θ = -1,6, and the magnitude of the error of measurement is 2,296. The number of pairs who are suspected of cheating is as follows: 13 pairs according to Angoff's B-index Method, 212 pairs according to Pair 1 Method, 444 pairs according to Pair 2 Method, 7 pairs according to MESA Method, and 102 pairs according to G2 Method. The most widely detecting cheating in a row is a Pair 2 Method, Pair 1 Method, G2 Method, Angoff's B-index Method, and MESA Method. Keywords: national examination, items characteristics, methods of cheating

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24

Mahanty, J., and MP Das. "A Dielectric Approach to High Temperature Superconductivity." Australian Journal of Physics 42, no. 5 (1989): 541. http://dx.doi.org/10.1071/ph890541.

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In this paper we investigate the dielectric response of an electron-ion system to the presence of a pair of charges. From the nature of the dielectric function, it Is shown that a strong attractive pair formation is possible depending on the dispersion of the ion branches. The latter brings a reduction to the sound velocity which is used as a criterion for the superconductivity. By solving the BCS equation with the above dielectric function, we obtain a reasonable value of Te.

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25

Liang, Baohua, Haiqi Zhang, Zhengyu Lu, and Zhengjin Zhang. "Indistinguishable Element-Pair Attribute Reduction and Its Incremental Approach." Mathematical Problems in Engineering 2022 (September 29, 2022): 1–16. http://dx.doi.org/10.1155/2022/6876144.

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Attribute reduction is a popular approach of preprocessing data. Discernibility matrix is a typical method that focuses on attribute reduction. Faced with the processing of modern information systems with large amounts of data and rapid changes, the traditional static discernibility matrix reduction model is powerless. To overcome this shortcoming, this paper first proposes an indistinguishable element pair method that does not need to store discernibility information, which retains the advantages of institution and easy-to-understand, and at the same time effectively solves the problem of space consumption. In order to make the model adapt to the processing of dynamic data sets, we further study the incremental mechanism and design a set of dynamic reduction models, which can adjust the reduction set in time according to the changes of objects. Theoretical analysis and experimental results indicate that the proposed algorithm is obviously superior to the discernibility matrix model, and can effectively deal with the reduction of dynamic data sets.

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26

Ángeles-Martínez, R. "A New Approach to Top-pair Production at NNLO." Acta Physica Polonica B 48, no. 12 (2017): 2267. http://dx.doi.org/10.5506/aphyspolb.48.2267.

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27

Ambartzumian, R. V. "Random graph approach to Gibbs processes with pair interaction." Acta Applicandae Mathematicae 22, no. 1 (January 1991): 3–14. http://dx.doi.org/10.1007/bf00047648.

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28

Rizzi, Romeo. "Excluding a Simple Good Pair Approach to Directed Cuts." Graphs and Combinatorics 17, no. 4 (December 1, 2001): 741–44. http://dx.doi.org/10.1007/s003730170013.

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29

Hasan, Nurul, and Zalinawati binti Zakaria. "Computational approach for a pair of bubble coalescence process." International Journal of Heat and Fluid Flow 32, no. 3 (June 2011): 755–61. http://dx.doi.org/10.1016/j.ijheatfluidflow.2011.02.004.

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30

Laird, Neil F., and Nicholas D. Metz. "A Pair-Researching Approach for Undergraduate Atmospheric Science Researchers." Bulletin of the American Meteorological Society 101, no. 3 (March 1, 2020): E357—E363. http://dx.doi.org/10.1175/bams-d-18-0190.1.

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31

Branda, Neil, Guido Kurz, and Jean-Marie Lehn. "JANUS WEDGES: a new approach towards nucleobase-pair recognition." Chemical Communications, no. 21 (1996): 2443. http://dx.doi.org/10.1039/cc9960002443.

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32

Cheng-Li, WU, and Chen Hsi-Tseng. "A Generalized pair field approach to the shell model." Nuclear Physics A 570, no. 1-2 (March 1994): 377–85. http://dx.doi.org/10.1016/0375-9474(94)90304-2.

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33

Chen, Yingchun, Yunkun Wang, and Xinhua Wang. "Surface modelling and design approach research for single cone screw-bush pair with equal volume of chambers." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 22 (December 27, 2017): 4049–63. http://dx.doi.org/10.1177/0954406217749268.

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Анотація:

To increase the delivery capacity and flow stability of the screw pump and reduce wear between the stator and the rotor, a surface forming method of single-head cone screw-bush pair with equal cavities and large delivery capacity was investigated based on the conventional single cone screw theory. An equation of the cone screw-bush pair surface was established according to the space engagement theory. A flow equation of single cone screw bush pair was built based on the cone screw-bush pair section equation and the rule of its variation. The calculation method of the screw structure size at a given flow rate was determined as well. A kinematics equation of the single cone screw-bush pair was obtained after a kinematics analysis of the single cone screw-bush pair conducted. The movement formula of a single cone screw-bush pair with equal cavities and large delivery capacity was concluded. Three-dimensional model of a single cone screw and a bush was built and the motion simulation of the pair was conducted based on MATLAB and Pro/Mechanism. The kinematics rules were summarized at the same time. Moreover, a single cone screw and a bush solid model were processed based on the three-dimensional model of the cone screw-bush pair and the three-dimensional printing technology. The correctness of the equation of the single cone screw-bush pair surface was verified.

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34

Dong, Yubing, and Pengnian Shen. "Possible dibaryon production at anda with a Lagrangian approach *." Chinese Physics C 46, no. 2 (February 1, 2022): 023105. http://dx.doi.org/10.1088/1674-1137/ac3567.

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Abstract In order to confirm the existence of the dibaryon state observed at WASA@COSY, we estimate the cross section for production of the possible dibaryon and anti-dibaryon pair in the energy region of the upcoming experiments at anda. Based on some qualitative properties of extracted from the analyses in the non-relativistic quark model, the production cross section for this spin-3 particle pair are calculated with the help of a phenomenological effective relativistic and covariant Lagrangian approach.

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35

Karwowski, Boleslaw T. "The Electronic Property Differences between dA::dG and dA::dGoxo. A Theoretical Approach." Molecules 25, no. 17 (August 23, 2020): 3828. http://dx.doi.org/10.3390/molecules25173828.

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Анотація:

The dA::dGoxo pair appearing in nucleic ds-DNA can lead to a mutation in the genetic information. Depending on the dGoxo source, an AT→GC and GC→AC transversion might be observed. As a result, glycosylases are developed during the evolution, i.e., OGG1 and MutY. While the former effectively removes Goxo from the genome, the second one removes adenine from the dA::dGoxo and dA:dG pair. However, dA::dGoxo is recognized by MutY as ~6–10 times faster than dA:dG. In this article, the structural and electronic properties of simple nucleoside pairs dA:dG, dC:::dGoxo, dC:::dG, dA::dGoxo in the aqueous phase have been taken into theoretical consideration. The influence of solvent relaxation on the above is also discussed. It can be concluded that the dA::dGoxo nucleoside pair shows a lower ionization potential and higher electron affinity than the dA:dG pair in both a vertical and adiabatic mode. Therefore, it could be predicted, under electronic properties, that the electron ejected, for instance by a MutY 4[Fe-S]2+ cluster, is predisposed to trapping by the ds-DNA part containing the dA::dGoxo pair rather than by dA::dG.

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36

BELLIS, PAOLA, and ROBERTO VERGANTI. "PAIRS IN INNOVATION: HOW WORKING IN PAIRS HELPS ORGANISATIONS TO MOVE INTO A NEW SHARED DIRECTION." International Journal of Innovation Management 24, no. 03 (December 18, 2019): 2050072. http://dx.doi.org/10.1142/s1363919620500723.

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Анотація:

Innovation is a collaborative act. Thus, a lot of attention has been paid to teamwork as the prevalent approach for innovation in companies. However, teams also present limits, due to conflicts and compromises when converging. This study, which focuses on the development of innovative directions, explores the nature of collaboration by looking at the purest unit of collaboration: the pair. We isolate the case of pair collaboration and investigate, through empirical investigations, the sensemaking process people accomplish and how it is affected by those tensions that affect teams when innovating. We observe how innovation unfolds when people move from creating individually, in pair and finally in team. Findings suggest that the pair creates an intimate environment where innovative thinking, alignment and engagement flourish and that it is a good intermediate step towards teamwork. This paper acknowledges an underestimated dynamic of innovation, pair collaboration, which has real potential to address one of organisations’ most problematic challenges: people engagement and convergence towards an innovative direction.

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37

Hua, Qiang, Chunru Dong, and Feng Zhang. "A Novel Approach to Face Verification Based on Second-Order Face-Pair Representation." Complexity 2018 (June 25, 2018): 1–10. http://dx.doi.org/10.1155/2018/2861695.

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Анотація:

Face representation and matching are two essential issues in face verification task. Various approaches have been proposed focusing on these two issues. However, few of them addressed the joint optimal solutions of these two issues in a unified framework. In this paper, we present a second-order face representation method for face pair and a unified face verification framework, in which the feature extractors and the subsequent binary classification model design can be selected flexibly. Our contributions can be summarized in the following aspects. First, a novel face-pair representation method that employs the second-order statistical property of the face pairs is proposed, which retains more information compared to the existing methods. Second, a flexible binary classification model, which differs from the conventionally used metric learning, is constructed based on the new face-pair representation. Finally, we verify that our proposed face-pair representation can benefit from large training datasets. All the experiments are carried out on Labeled Face in the Wild (LFW) to verify the algorithm’s effectiveness against challenging uncontrolled conditions.

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38

Niewiadomska-Kaplar, Justyna. "New Approach to the Molecular Electronics of Graphene." Materials Science Forum 1058 (April 5, 2022): 63–78. http://dx.doi.org/10.4028/p-g8qm59.

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Анотація:

The structure of graphene has been described in this research work by introducing some innovative elementary theoretical concepts such as: - interpretation of the free electron pair not as a concentration of the electron cloud on one side of the nucleus (lone pair), but as a symmetrical distribution of the electron cloud on both sides, - hypothesis that in polar bonds and the vast majority of multiple bonds, one electron is shared, not an electron pair and distinction of intermolecular bonds in bi-electronic and mono-electronic, - interpretation of the transformation of the geometry of molecules in relation to the number of bonds as a result of changes in the spatial relationships between atoms, and not as a result of the hybridization of orbitals and prediction and calculation of the spatial parameters of molecules (topology, bond lengths and angles) by applying trigonometric equations and other geometric rules, - consideration that the formation of multiple bonds occurs thanks to the transformation of bi electronic bonds (sigma) into mono-electronic bonds. This transformation serves to increase the quantity of electrons available to form pi bonds which intensifies the cohesion between the atoms. According to the proposed model, it is a dense cross-linking of π bonds inside each graphene ring that allows exceptional cohesion, strength and stability to a thin "spiderweb" formed by a single layer of atoms.

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39

Tarasov, Vasily E. "General Fractional Calculus: Multi-Kernel Approach." Mathematics 9, no. 13 (June 26, 2021): 1501. http://dx.doi.org/10.3390/math9131501.

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Анотація:

For the first time, a general fractional calculus of arbitrary order was proposed by Yuri Luchko in 2021. In Luchko works, the proposed approaches to formulate this calculus are based either on the power of one Sonin kernel or the convolution of one Sonin kernel with the kernels of the integer-order integrals. To apply general fractional calculus, it is useful to have a wider range of operators, for example, by using the Laplace convolution of different types of kernels. In this paper, an extended formulation of the general fractional calculus of arbitrary order is proposed. Extension is achieved by using different types (subsets) of pairs of operator kernels in definitions general fractional integrals and derivatives. For this, the definition of the Luchko pair of kernels is somewhat broadened, which leads to the symmetry of the definition of the Luchko pair. The proposed set of kernel pairs are subsets of the Luchko set of kernel pairs. The fundamental theorems for the proposed general fractional derivatives and integrals are proved.

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40

Breed, Betty, E. Mentz, and G. van der Westhuizen. "A METACOGNITIVE APPROACH TO PAIR PROGRAMMING: INFLUENCE ON METACOGNITIVE AWARENESS." Electronic Journal of Research in Educational Psychology 12, no. 1 (April 1, 2014): 33–60. http://dx.doi.org/10.14204/ejrep.32.13104.

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41

Trillo, Stefano, and Matteo Conforti. "Quantitative approach to breather pair appearance in nonlinear modulational instability." Optics Letters 44, no. 17 (August 23, 2019): 4275. http://dx.doi.org/10.1364/ol.44.004275.

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42

Buccella, C., M. Feliziani, and G. Manzi. "Three-Dimensional FEM Approach to Model Twisted Wire Pair Cables." IEEE Transactions on Magnetics 43, no. 4 (April 2007): 1373–76. http://dx.doi.org/10.1109/tmag.2007.892426.

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43

YAKUSHEVICH, L. V., S. GAPA, and J. AWREJCEWICZ. "MECHANICAL APPROACH IN THE STUDIES OF DNA BASE PAIR OSCILLATIONS." International Journal of Bifurcation and Chaos 21, no. 10 (October 2011): 3063–71. http://dx.doi.org/10.1142/s0218127411030374.

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Анотація:

The rotational oscillations of the DNA bases around the sugar-phosphate chains make an important contribution to the process of DNA base pairs opening that in turn plays a crucial role in the process of the DNA-protein recognition. As a result, the study of these oscillations helps to understand better the dynamical mechanisms of the biological activity of the DNA molecule. In this work, we study rotational oscillations of two coupled DNA bases that form a base pair: adenine-thymine (AT) or guanine-cytosine (GC). We show that the problem can be reduced to the mechanical problem of two coupled nonsymmetrical nonlinear pendulums oscillating in the horizontal plane. We obtain the Lagrange equations, estimate the values of the coefficients of the equations and use the results of estimations to construct the potential energy surface. We consider in detail the case of small amplitudes of angular displacements, find the general solution of corresponding Lagrange equations and present graphs using Maple 13.

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44

Chatzitakis, Paris, and Belal Dawoud. "An alternative approach towards absorption heat pump working pair screening." Renewable Energy 110 (September 2017): 47–58. http://dx.doi.org/10.1016/j.renene.2016.08.014.

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45

Yang, B., T. Wei, X. Fang, Z. Deng, F. W. B. Li, Y. Ling, and X. Wang. "A Color‐Pair Based Approach for Accurate Color Harmony Estimation." Computer Graphics Forum 38, no. 7 (October 2019): 481–90. http://dx.doi.org/10.1111/cgf.13854.

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46

Kumar, Paras, Harish Hirani, and Atul Agrawal. "Fatigue failure prediction in spur gear pair using AGMA approach." Materials Today: Proceedings 4, no. 2 (2017): 2470–77. http://dx.doi.org/10.1016/j.matpr.2017.02.099.

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47

Di Nunzio, P. E. "A discrete approach to grain growth based on pair interactions." Acta Materialia 49, no. 17 (October 2001): 3635–43. http://dx.doi.org/10.1016/s1359-6454(01)00085-4.

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48

Lotti, P., E. Maglione, and A. Vitturi. "Macroscopic Approach to Pair Transition Density in Well-Deformed Nuclei." Europhysics Letters (EPL) 3, no. 3 (February 1, 1987): 289–92. http://dx.doi.org/10.1209/0295-5075/3/3/006.

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49

Held, Theo, Patrick Fischer, and Martin Schrepp. "Scaling of input forms by a simple pair comparison approach." Library Hi Tech 29, no. 2 (June 14, 2011): 334–48. http://dx.doi.org/10.1108/07378831111138206.

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50

Kabir, Md Hasanul, M. Abdullah-A, Mohammad A. U. Khan, Abdur Rashid, and Saghir Ahmad. "Block Overlapped Intensity-Pair Distribution Approach for Image Contrast Enhancement." Information Technology Journal 6, no. 6 (August 1, 2007): 897–902. http://dx.doi.org/10.3923/itj.2007.897.902.

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