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Journal articles on the topic 'Shuffle product'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 July 2025

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1

OBRENIĆ, BOJANA. "APPROXIMATING HYPERCUBES BY INDEX-SHUFFLE GRAPHS VIA DIRECT-PRODUCT EMULATIONS." Journal of Interconnection Networks 05, no. 04 (2004): 429–73. http://dx.doi.org/10.1142/s0219265904001258.

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Index-shuffle graphs are a family of bounded-degree hypercube-like interconnection networks for parallel computers, introduced by [Baumslag and Obrenić (1997): Index-Shuffle Graphs, …], as an efficient substitute for two standard families of hypercube derivatives: butterflies and shuffle-exchange graphs. In the theoretical framework of graph embedding and network emulations, this paper shows that the index-shuffle graph efficiently approximates the direct-product structure of the hypercube, and thereby has a unique potential to approximate efficiently all of its derivatives. One of the consequ

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2

Rosenberg, Arnold L. "Product-shuffle networks: toward reconciling shuffles and butterflies." Discrete Applied Mathematics 37-38 (July 1992): 465–88. http://dx.doi.org/10.1016/0166-218x(92)90152-z.

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3

Rotella, F. "Shuffle product of generating series." Theoretical Computer Science 79, no. 1 (1991): 257–61. http://dx.doi.org/10.1016/0304-3975(91)90155-u.

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4

Duchamp, Gérard, and Daniel Krob. "On the partially commutative shuffle product." Theoretical Computer Science 96, no. 2 (1992): 405–10. http://dx.doi.org/10.1016/0304-3975(92)90345-g.

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5

Ono, Masataka, and Shuji Yamamoto. "Shuffle product of finite multiple polylogarithms." manuscripta mathematica 152, no. 1-2 (2016): 153–66. http://dx.doi.org/10.1007/s00229-016-0856-9.

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6

Liu, Mengyu, and Huilan Li. "A Hopf Algebra on Permutations Arising from Super-Shuffle Product." Symmetry 13, no. 6 (2021): 1010. http://dx.doi.org/10.3390/sym13061010.

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In this paper, we first prove that any atom of a permutation obtained by the super-shuffle product of two permutations can only consist of some complete atoms of the original two permutations. Then, we prove that the super-shuffle product and the cut-box coproduct on permutations are compatible, which makes it a bialgebra. As this algebra is graded and connected, it is a Hopf algebra.

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7

Ito, Masami. "Shuffle Decomposition of Regular Languages." JUCS - Journal of Universal Computer Science 8, no. (2) (2002): 257–59. https://doi.org/10.3217/jucs-008-02-0257.

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Let A X* be a regular language. In the paper, we will provide an algorithm to decide whether there exist a nontrivial language B (n, X) and a nontrivial regular language C X* such that A = B C 1.) C. S. Calude, K. Salomaa, S. Yu (eds.). Advances and Trends in Automata and Formal Languages. A Collection of Papers in Honour of the 60th Birthday of Helmut Jürgensen.

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8

Li, Zhonghua, and Chen Qin. "Shuffle product formulas of multiple zeta values." Journal of Number Theory 171 (February 2017): 79–111. http://dx.doi.org/10.1016/j.jnt.2016.07.013.

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9

Berstel, Jean, Luc Boasson, Olivier Carton, Jean-Éric Pin, and Antonio Restivo. "The expressive power of the shuffle product." Information and Computation 208, no. 11 (2010): 1258–72. http://dx.doi.org/10.1016/j.ic.2010.06.002.

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10

Shyr, H. J., and S. S. Yu. "Bi-catenation and shuffle product of languages." Acta Informatica 35, no. 8 (1998): 689–707. http://dx.doi.org/10.1007/s002360050139.

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11

Wakabayashi, Noriko. "Double shuffle and Hoffman’s relations for interpolated multiple zeta values." International Journal of Number Theory 13, no. 09 (2017): 2245–51. http://dx.doi.org/10.1142/s1793042117501226.

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The polynomials interpolating multiple zeta values and multiple zeta-star values using a parameter [Formula: see text] were introduced by Yamamoto. We call these [Formula: see text]-MZVs. In this paper, we establish the shuffle product for [Formula: see text]-MZVs to prove Hoffman type relation and double shuffle relation for [Formula: see text]-MZVs.

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12

Rajaretnam, T., and J. Arockia Jeyakumar. "Homomorphic images and shuffle product on probabilistic automata." International Journal of Artificial Intelligence and Soft Computing 7, no. 1 (2019): 3. http://dx.doi.org/10.1504/ijaisc.2019.10026561.

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13

Jeyakumar, J. Arockia, and T. Rajaretnam. "Homomorphic images and shuffle product on probabilistic automata." International Journal of Artificial Intelligence and Soft Computing 7, no. 1 (2019): 3. http://dx.doi.org/10.1504/ijaisc.2019.105000.

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14

Tschantz, Steven T. "Languages under concatenation and shuffling." Mathematical Structures in Computer Science 4, no. 4 (1994): 505–11. http://dx.doi.org/10.1017/s0960129500000578.

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The shuffle product of two words u and v, denoted u‖v, is the set of all words of the form x1y1x2y2…xnyn for some n and for some (possible empty) words x1, …xn, y1, …yn, such that u = x1x2…xn, and v = y1y2…yn. In other words, u‖v is the set of all possible words that can be obtained by merging u and v so that the letters of u and v separately maintain their original orders but are allowed to alternate arbitrarily. The shuffle product of languages L and M, denoted L‖M, is the union of all u‖v for u ∈ L and v ∈ M.

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15

Fang, Xin. "Generalized Virtual Braid Groups, Quasi-Shuffle Product and Quantum Groups." International Mathematics Research Notices 2015, no. 6 (2014): 1717–31. http://dx.doi.org/10.1093/imrn/rnt343.

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16

Song, Sifan, and Huilan Li. "Super-Shuffle Product and Cut-Box Coproduct on (0,1)-Matrices." Open Journal of Applied Sciences 13, no. 08 (2023): 1326–35. http://dx.doi.org/10.4236/ojapps.2023.138105.

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17

Dong, Jiaming, and Huilan Li. "Hopf algebra of labeled simple graphs arising from super-shuffle product." Mathematical Modelling and Control 4, no. 1 (2024): 32–43. http://dx.doi.org/10.3934/mmc.2024004.

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<abstract><p>From the connections between permutations and labeled simple graphs, we generalized the super-shuffle product and the cut-box coproduct on permutations to labeled simple graphs. We then proved that the vector space spanned by labeled simple graphs is a Hopf algebra with these two operations.</p></abstract>

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18

BACHMANN, HENRIK, and KOJI TASAKA. "THE DOUBLE SHUFFLE RELATIONS FOR MULTIPLE EISENSTEIN SERIES." Nagoya Mathematical Journal 230 (May 8, 2017): 180–212. http://dx.doi.org/10.1017/nmj.2017.9.

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We study the multiple Eisenstein series introduced by Gangl, Kaneko and Zagier. We give a proof of (restricted) finite double shuffle relations for multiple Eisenstein series by revealing an explicit connection between the Fourier expansion of multiple Eisenstein series and the Goncharov co-product on Hopf algebras of iterated integrals.

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19

BASOLD, HENNING, HELLE HVID HANSEN, JEAN-ÉRIC PIN, and JAN RUTTEN. "Newton series, coinductively: a comparative study of composition." Mathematical Structures in Computer Science 29, no. 1 (2017): 38–66. http://dx.doi.org/10.1017/s0960129517000159.

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We present a comparative study of four product operators on weighted languages: (i) the convolution, (ii) the shuffle, (iii) the infiltration and (iv) the Hadamard product. Exploiting the fact that the set of weighted languages is a final coalgebra, we use coinduction to prove that an operator of the classical difference calculus, the Newton transform, generalises from infinite sequences to weighted languages. We show that the Newton transform is an isomorphism of rings that transforms the Hadamard product of two weighted languages into their infiltration product, and we develop various repres

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20

Chang, Chung-Yie. "Shuffle Product Formulas of Two Multiples of Height-one Multiple Zeta Values." Taiwanese Journal of Mathematics 20, no. 1 (2016): 13–24. http://dx.doi.org/10.11650/tjm.20.2016.4325.

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21

Lei, Peng, Li Guo, and Biao Ma. "Applications of shuffle product to restricted decomposition formulas for multiple zeta values." Journal of Number Theory 144 (November 2014): 219–33. http://dx.doi.org/10.1016/j.jnt.2014.03.020.

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22

SILVA, PEDRO V. "AN APPLICATION OF FIRST-ORDER LOGIC TO THE STUDY OF RECOGNIZABLE LANGUAGES." International Journal of Algebra and Computation 14, no. 05n06 (2004): 785–99. http://dx.doi.org/10.1142/s0218196704001906.

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A variation of first-order logic with variables for exponents is developed to solve some problems in the setting of recognizable languages on the free monoid, accommodating operators such as product, bounded shuffle and reversion. Restricting the operators to powers and product, analogous results are obtained for recognizable languages of an arbitrary finitely generated monoid M, in particular for a free inverse monoid of finite rank. As a consequence, it is shown to be decidable whether or not a recognizable subset of M is pure or p-pure.

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23

Banerjee, Abhishek. "Homologie de Hochschild Et Espaces Algébriques." MATHEMATICA SCANDINAVICA 118, no. 1 (2016): 33. http://dx.doi.org/10.7146/math.scand.a-23294.

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The purpose of this article is to define the Hochschild and cyclic homologies of an algebraic space $X$. We consider two definitions of Hochschild homology of $X$ and show that these definitions coincide in the case of a separated algebraic space. Moreover, we construct a shuffle product on the Hochschild homologies of $X$. Finally, we show that one has a pairing between the Hochschild homologies and cohomologies of $X$. Résumé Le but de cet article est de définir les homologies de Hochschild et les homologies cycliques d'un espace algébrique $X$. Nous considérons deux définitions de l'homolog

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24

Yaddaden, Khalef. "Crossed Product Interpretation of the Double Shuffle Lie Algebra Attached to a Finite Abelian Group." Publications of the Research Institute for Mathematical Sciences 60, no. 3 (2024): 455–505. http://dx.doi.org/10.4171/prims/60-3-2.

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Racinet studied a scheme associated with the double shuffle and regularization relations between multiple polylogarithm values at N th roots of unity and constructed a group scheme attached to the situation; he also showed it to be the specialization for G=\mu_{N} of a group scheme \operatorname{\mathsf{DMR}}_{0}^{G} attached to a finite abelian group G . Then Enriquez and Furusho proved that \operatorname{\mathsf{DMR}}_{0}^{G} can be essentially identified with the stabilizer of a coproduct element arising in Racinet’s theory with respect to the action of a group of automorphisms of a free Li

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25

Ospel, Cyrille. "Cohomological properties of the quantum shuffle product and application to the construction of quasi-Hopf algebras." Journal of Pure and Applied Algebra 173, no. 3 (2002): 315–37. http://dx.doi.org/10.1016/s0022-4049(02)00015-4.

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26

Prygarin, Alexander. "Reflection Identities of Harmonic Sums of Weight Four." Universe 5, no. 3 (2019): 77. http://dx.doi.org/10.3390/universe5030077.

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In attempt to find a proper space of function expressing the eigenvalue of the color-singlet BFKL equation in N = 4 SYM, we consider an analytic continuation of harmonic sums from positive even integer values of the argument to the complex plane. The resulting meromorphic functions have pole singularities at negative integers. We derive the reflection identities for harmonic sums at weight four decomposing a product of two harmonic sums with mixed pole structure into a linear combination of terms each having a pole at either negative or non-negative values of the argument. The pole decompositi

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27

Andreieva, D. M., and S. Yu Ignatovich. "Homogeneous approximation for minimal realizations of series of iterated integrals." V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, no. 96 (December 24, 2022): 23–39. http://dx.doi.org/10.26565/2221-5646-2022-96-02.

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In the paper, realizable series of iterated integrals with scalar coefficients are considered and an algebraic approach to the homogeneous approximation problem for nonlinear control systems with output is developed. In the first section we recall the concept of the homogeneous approximation of a nonlinear control system which is linear w.r.t.\ the control and the concept of the series of iterated integrals. In the second section the statement of the realizability problem is given, a criterion for realizability and a method for constructing a minimal realization of the series are recalled. Als

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28

Belo, Rodrigo, and Pedro Ferreira. "Free-Riding in Products with Positive Network Externalities: Empirical Evidence from a Large Mobile Network." MIS Quarterly 46, no. 1 (2022): 401–30. http://dx.doi.org/10.25300/misq/2022/14712.

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We study the effect of peer influence on products that exhibit positive network externalities to non-adopters, i.e., products that benefit adopters’ friends even if they do not adopt. In contrast to products that exhibit positive network externalities upon adoption, this structure of incentives likely results in negative peer influence: the more friends that adopt the product, the smaller the incentive to adopt. We measure this effect empirically by using observational data from a large mobile carrier serving 5.7 million users. We estimate the effect of peer influence across five different pro

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29

Schaffrath, Raffael, and Peter A. Meacock. "A cytoplasmic gene‐shuffle system in Kluyveromyces lactis : use of epitope tagging to detect a killer plasmid‐encoded gene product." Molecular Microbiology 19, no. 3 (1996): 545–54. http://dx.doi.org/10.1046/j.1365-2958.1996.402942.x.

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30

Zieler, H. A., M. Walberg, and P. Berg. "Suppression of mutations in two Saccharomyces cerevisiae genes by the adenovirus E1A protein." Molecular and Cellular Biology 15, no. 6 (1995): 3227–37. http://dx.doi.org/10.1128/mcb.15.6.3227.

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The protein products of the adenoviral E1A gene are implicated in a variety of transcriptional and cell cycle events, involving interactions with several proteins present in human cells, including parts of the transcriptional machinery and negative regulators of cell division such as the Rb gene product and p107. To determine if there are functional homologs of E1A in Saccharomyces cerevisiae, we have developed a genetic screen for mutants that depend on E1A for growth. The screen is based on a colony color sectoring assay which allows the identification of mutants dependent on the maintenance

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31

YAO, CAN-ZHONG, JI-NAN LIN, and XU-ZHOU ZHENG. "MULTIFRACTAL DETRENDED CROSS-CORRELATION ANALYSIS FOR LARGE-SCALE WAREHOUSE-OUT BEHAVIORS." Fractals 23, no. 04 (2015): 1550044. http://dx.doi.org/10.1142/s0218348x15500449.

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Based on cross-correlation algorithm, we analyze the correlation property of warehouse-out quantity of different warehouses, respectively, and different products of each warehouse. Our study identifies that significant cross-correlation relationship for warehouse-out quantity exists among different warehouses and different products of a warehouse. Further, we take multifractal detrended cross-correlation analysis for warehouse-out quantity among different warehouses and different products of a warehouse. The results show that for the warehouse-out behaviors of total amount, different warehouse

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32

Joubat, Mohammad, and Alexander Prygarin. "The analytic structure of the BFKL equation and reflection identities of harmonic sums at weight five." International Journal of Modern Physics A 34, no. 11 (2019): 1950064. http://dx.doi.org/10.1142/s0217751x19500647.

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We analyze the structure of the eigenvalue of the color-singlet Balitsky–Fadin–Kuraev–Lipatov (BFKL) equation in N[Formula: see text]=[Formula: see text]4 SYM in terms of the meromorphic functions obtained by the analytic continuation of harmonic sums from positive even integer values of the argument to the complex plane. The meromorphic functions we discuss have pole singularities at negative integers and take finite values at all other points. We derive the reflection identities for harmonic sums at weight five decomposing a product of two harmonic sums with mixed pole structure into a linea

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33

Lénon, Marine, Na Ke, Cecily Szady, et al. "Improved production of Humira antibody in the genetically engineered Escherichia coli SHuffle, by co-expression of human PDI-GPx7 fusions." Applied Microbiology and Biotechnology 104, no. 22 (2020): 9693–706. http://dx.doi.org/10.1007/s00253-020-10920-5.

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Abstract Microbial production of antibodies offers the promise of cheap, fast, and efficient production of antibodies at an industrial scale. Limiting this capacity in prokaryotes is the absence of the post-translational machinery, present in dedicated antibody producing eukaryotic cell lines, such as B cells. There has been few and limited success in producing full-length, correctly folded, and assembled IgG in the cytoplasm of prokaryotic cell lines. One such success was achieved by utilizing the genetically engineered Escherichia coli strain SHuffle with an oxidative cytoplasm. Due to the g

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34

Hoffman, Michael E., and Kentaro Ihara. "Quasi-shuffle products revisited." Journal of Algebra 481 (July 2017): 293–326. http://dx.doi.org/10.1016/j.jalgebra.2017.03.005.

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35

Nourine, L., R. Ragab, and F. Toumani. "Decidability and Complexity of Web Service Business Protocol Synthesis." International Journal of Cooperative Information Systems 25, no. 03 (2016): 1650008. http://dx.doi.org/10.1142/s0218843016500088.

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Automatic synthesis of web services business protocols (BPs) aims at solving algorithmically the problem of deriving a mediator that realizes a BP of a target service using a set of specifications of available services. This problem, and its variants, gave rise to a large number of fundamental research work over the last decade. However, existing works considered this problem under the restriction that the number of instances of an available service that can be involved in a composition is bounded by a constant [Formula: see text] which is fixed a priori. This paper investigates the unbounded

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36

Guo, Li, and William Keigher. "Baxter Algebras and Shuffle Products." Advances in Mathematics 150, no. 1 (2000): 117–49. http://dx.doi.org/10.1006/aima.1999.1858.

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37

Köck, Bernhard. "Shuffle products in higher K-theory." Journal of Pure and Applied Algebra 92, no. 3 (1994): 269–307. http://dx.doi.org/10.1016/0022-4049(94)90098-1.

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38

Bahns, D. "The shuffle Hopf algebra and quasiplanar Wick products." Journal of Physics: Conference Series 103 (February 1, 2008): 012014. http://dx.doi.org/10.1088/1742-6596/103/1/012014.

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39

Duchamp, Gérard H. E., Jean-Yves Enjalbert, Vincel Hoang Ngoc Minh, and Christophe Tollu. "The mechanics of shuffle products and their siblings." Discrete Mathematics 340, no. 9 (2017): 2286–300. http://dx.doi.org/10.1016/j.disc.2017.03.004.

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40

Garsia, A. M., and J. Remmel. "Shuffles of permutations and the Kronecker product." Graphs and Combinatorics 1, no. 1 (1985): 217–63. http://dx.doi.org/10.1007/bf02582950.

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41

Shen, Zhanfei, Chunxiang Shi, Runping Shen, Ruian Tie, and Lingling Ge. "Spatial Downscaling of Near-Surface Air Temperature Based on Deep Learning Cross-Attention Mechanism." Remote Sensing 15, no. 21 (2023): 5084. http://dx.doi.org/10.3390/rs15215084.

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Deep learning methods can achieve a finer refinement required for downscaling meteorological elements, but their performance in terms of bias still lags behind physical methods. This paper proposes a statistical downscaling network based on Light-CLDASSD that utilizes a Shuffle–nonlinear-activation-free block (SNBlock) and Swin cross-attention mechanism (SCAM), and is named SNCA-CLDASSD, for the China Meteorological Administration Land Data Assimilation System (CLDAS). This method aims to achieve a more accurate spatial downscaling of a temperature product from 0.05° to 0.01° for the CLDAS. To

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42

Halfon, S., and Ph Schnoebelen. "On shuffle products, acyclic automata and piecewise-testable languages." Information Processing Letters 145 (May 2019): 68–73. http://dx.doi.org/10.1016/j.ipl.2019.01.012.

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43

Zhang, Xigou, Xing Gao, and Li Guo. "Modified Rota–Baxter Algebras, Shuffle Products and Hopf Algebras." Bulletin of the Malaysian Mathematical Sciences Society 42, no. 6 (2018): 3047–72. http://dx.doi.org/10.1007/s40840-018-0648-3.

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44

Tominaga, Tatsuya, and Yoshinori Hatakeyama. "Development of Innovative Pediocin PA-1 by DNA Shuffling among Class IIa Bacteriocins." Applied and Environmental Microbiology 73, no. 16 (2007): 5292–99. http://dx.doi.org/10.1128/aem.00558-07.

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ABSTRACT Pediocin PA-1 is a member of the class IIa bacteriocins, which show antimicrobial effects against lactic acid bacteria. To develop an improved version of pediocin PA-1, reciprocal chimeras between pediocin PA-1 and enterocin A, another class IIa bacteriocin, were constructed. Chimera EP, which consisted of the C-terminal half of pediocin PA-1 fused to the N-terminal half of enterocin A, showed increased activity against a strain of Leuconostoc lactis isolated from a sour-spoiled dairy product. To develop an even more effective version of this chimera, a DNA-shuffling library was const

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45

Ahn, Gilseung, Sun Hur, Dongmin Shin, and You-Jin Park. "A Graphical Model to Diagnose Product Defects with Partially Shuffled Equipment Data." Processes 7, no. 12 (2019): 934. http://dx.doi.org/10.3390/pr7120934.

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The diagnosis of product defects is an important task in manufacturing, and machine learning-based approaches have attracted interest from both the industry and academia. A high-quality dataset is necessary to develop a machine learning model, but the manufacturing industry faces several data-collection issues including partially shuffled data, which arises when a product ID is not perfectly inferred and yields an unstable machine learning model. This paper introduces latent variables to formulate a supervised learning model that addresses the problem of partially shuffled data. The experiment

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46

Hakim, Bhustomy, Ferdian Aditya Pratama, and Jonathan Mikhael Anthony. "Pengaruh Game Shopee Cocoki Sebagai Media Gamifikasi Terhadap Minat Beli Pengguna." Indonesian Journal of Applied Informatics 9, no. 2 (2025): 506. https://doi.org/10.20961/ijai.v9i2.98132.

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<p>Abstrak : </p><p>Di era 4.0 ini, 88% masyarakat Indonesia menggunakan aplikasi <em>e-commerce</em> untuk melakukan jual beli. Banyak aplikasi <em>e-commerce</em> yang tersedia seperti Shopee, Tokopedia, BliBli, BukaLapak, dan Lazada. Gamifikasi merupakan salah satu cara tim pengembang aplikasi untuk membuat strategi agar <em>e-commerce</em> dapat bersaing dan tetap digunakan dan menambah <em>customer engagement</em>. Shopee merupakan aplikasi <em>e-commerce</em> yang aktif mengembangan gamifikasi seperti adanya Go

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Lima, Gabriel Correia, Jinjoo Jung, Matthew de Lisa, and Daniela Luz. "Abstract LB002: Escherichia coli as a platform for the production of full-length IgG antibodies." Cancer Research 85, no. 8_Supplement_2 (2025): LB002. https://doi.org/10.1158/1538-7445.am2025-lb002.

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Abstract Introduction: Genetically modified strains of Escherichia coli bacteria are widely used as a platform for recombinant protein production. A expressive portion of high value recombinant proteins are represented by IgG antibodies, critically important in the pharmaceutical industry. However, expressing full-length IgG antibodies in bacteria presents significant challenges, primarily related to proper disulfide bond formation. To overcome this limitation, the SHuffle strain was engineered to support disulfide bond formation on cytoplasm. This study explores the potential of the SHuffle s

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48

Hansoul, Georges. "Shuffle products and other operations in the class of primitive spaces." Periodica Mathematica Hungarica 32, no. 1-2 (1996): 45–56. http://dx.doi.org/10.1007/bf01879731.

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49

Kumagai, Takeshi, Takanobu Baba, and Hideki Saito. "Generating cartesian products of two sets on a shuffle-exchange network." Systems and Computers in Japan 20, no. 4 (1989): 11–22. http://dx.doi.org/10.1002/scj.4690200402.

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50

Pulido, Ingrid Yamile, Erlide Prieto, Gilles Paul Pieffet, Lina Méndez, and Carlos A. Jiménez-Junca. "Functional Heterologous Expression of Mature Lipase LipA from Pseudomonas aeruginosa PSA01 in Escherichia coli SHuffle and BL21 (DE3): Effect of the Expression Host on Thermal Stability and Solvent Tolerance of the Enzyme Produced." International Journal of Molecular Sciences 21, no. 11 (2020): 3925. http://dx.doi.org/10.3390/ijms21113925.

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This study aimed to express heterologously the lipase LipA from Pseudomonas aeruginosa PSA01 obtained from palm fruit residues. In previous approaches, LipA was expressed in Escherichia coli fused with its signal peptide and without its disulfide bond, displaying low activity. We cloned the mature LipA with its truncated chaperone Lif in a dual plasmid and overexpressed the enzyme in two E. coli strains: the traditional BL21 (DE3) and the SHuffle® strain, engineered to produce stable cytoplasmic disulfide bonds. We evaluated the effect of the disulfide bond on LipA stability using molecular dy

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