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Journal articles on the topic 'Formule de Green'

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Published: 23 September 2022

Last updated: 28 January 2023

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1

Werner, Wendelin. "Formule de Green, lacet brownien plan et aire de Lévy." Stochastic Processes and their Applications 57, no. 2 (June 1995): 225–45. http://dx.doi.org/10.1016/0304-4149(94)00052-u.

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2

Gamblin, Didier. "Partie imaginaire des résonances de Rayleigh dans le cas d'une boule." Canadian Journal of Mathematics 58, no. 2 (April 1, 2006): 312–43. http://dx.doi.org/10.4153/cjm-2006-013-9.

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RésuméNous étudions les résonances de Rayleigh créées par une boule en dimension deux et trois. Nous savons qu’elles convergent exponentiellement vite vers l’axe réel. Nous calculons exactement les fonctions résonantes associées puis nous les estimons asymptotiquement en fonction de la partie réelle des résonances. L’application de la formule de Green nous donne alors le taux de décroissance exponentielle de la partie imaginaire des résonances.

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3

Gotovsky, M., A. Gotovsky, V. Mikhailov, V. Lychakov, Y. Sukhorukov, and E. Sukhorukova. "Formate Cycle: The Third Way in Green Energy." International Journal of Chemical Engineering and Applications 10, no. 6 (December 2019): 189–94. http://dx.doi.org/10.18178/ijcea.2019.10.6.767.

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4

Alonso-Blanco, Ricardo J., and Alexandre M. Vinogradov. "Green Formula and Legendre Transformation." Acta Applicandae Mathematicae 83, no. 1/2 (August 2004): 149–66. http://dx.doi.org/10.1023/b:acap.0000035594.33327.71.

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5

Blühdorn, Ingolfur. "‘New Green’ Pragmatism in Germany – Green Politics beyond the Social Democratic Embrace?" Government and Opposition 39, no. 4 (2004): 564–86. http://dx.doi.org/10.1111/j.1477-7053.2004.00136.x.

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AbstractCoalitions with left-of-centre parties have traditionally been regarded as the only viable option for Green parties that have shed their stance of radical opposition. The German Greens are investigated as a case study putting this assumption into doubt. Historical analysis of their relationship with the Social Democratic Party reveals how they slipped into life-threatening dependency on the latter. A survey of consecutive reinterpretations of the positioning formula ‘Neither right, nor left but ahead’ maps the struggle for an independent Green identity. An appraisal of recent debates about Conservative– Green alliances investigates the basis for Green coalition politics beyond the Social Democratic embrace.

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6

Visscher, P. B. "Green–Kubo formula for collisional relaxation." Journal of Chemical Physics 89, no. 8 (October 15, 1988): 5137–39. http://dx.doi.org/10.1063/1.455630.

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7

Duduchava, Roland. "The Green formula and layer potentials." Integral Equations and Operator Theory 41, no. 2 (June 2001): 127–78. http://dx.doi.org/10.1007/bf01295303.

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8

Trimarco, Carmine. "The Green's and the Eshelby's identities in generalised continua and in dielectrics." Theoretical and Applied Mechanics, no. 30 (2003): 41–52. http://dx.doi.org/10.2298/tam0301041t.

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In 1973, A. E. Green pointed out several interesting formulae, which hold true in finite elasticity [1]. One of them (formula (2.10), p.75) is repeatedly quoted in the literature as the Green identity. This remarkable identity has been successfully employed in several contexte. We only mention here its central role in theorems on uniqueness in elastostatics [2,3]. A deeper insight to the Green identity shows in evidence an intimate link of this formula with the Eshelby tensor and with the material balance law of equilibrium [4,5]. In homogeneous hyperelastic materials, this law turns out to an identity, the Eshelby identity, and one can easily prove that the Green identity stems straightforwardly from the Eshelby identity. These identities possibly extend to generalized continua, such as continua with microstructure and elastic dielectrics. Hereafter, the validity of the Eshelby identity is discussed for these materials. Basing on the novel extended Eshelby-like identity, the corresponding extended Green-like identity can be also established, under specifie assumptions. In the case of dielectrics, two equivalent forms for the Eshelby tensor emerge from the treatment, both satisfying the Eshelby identity. One of them is more appropriate for deriving the desired Green-like identity. The second one, which is a reduced form of the first one, represents the physical Eshelby tensor in dielectrics [4-5].

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9

Netz, Reviel. "Linguistic formulae as cognitive tools." Pragmatics and Cognition 7, no. 1 (1999): 147–76. http://dx.doi.org/10.1075/pc.7.1.07net.

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Ancient Greek mathematics developed the original feature of being deductive mathematics. This article attempts to give a (partial) explanation f or this achievement. The focus is on the use of a fixed system of linguistic formulae (expressions used repetitively) in Greek mathematical texts. It is shown that (a) the structure of this system was especially adapted for the easy computation of operations of substitution on such formulae, that is, of replacing one element in a fixed formula by another, and it is further argued that (b) such operations of substitution were the main logical tool required by Greek mathematical deduction. The conclusion explains why, assuming the validity of the description above, this historical level (as against the universal cognitive level) is the best explanatory level for the phenomenon of Greek mathematical deduction.

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10

Jagannathan, A., Y. Oono, and B. Schaub. "Intrinsic viscosity from the Green–Kubo formula." Journal of Chemical Physics 86, no. 4 (February 15, 1987): 2276–85. http://dx.doi.org/10.1063/1.452126.

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11

ZHANG, Guanglian. "The Green formula and heredity of algebras." Science in China Series A 48, no. 5 (2005): 610. http://dx.doi.org/10.1360/03ys0239.

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12

Ryan, John. "Cauchy-Green type formulae in Clifford analysis." Transactions of the American Mathematical Society 347, no. 4 (April 1, 1995): 1331–41. http://dx.doi.org/10.1090/s0002-9947-1995-1249888-8.

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13

Andersson, Mats, and Elizabeth Wulcan. "Green functions, Segre numbers, and King’s formula." Annales de l’institut Fourier 64, no. 6 (2014): 2639–57. http://dx.doi.org/10.5802/aif.2922.

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14

Pavliotis, G. A. "Asymptotic analysis of the Green-Kubo formula." IMA Journal of Applied Mathematics 75, no. 6 (June 13, 2010): 951–67. http://dx.doi.org/10.1093/imamat/hxq039.

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15

Yamagishi, Hidenaga. "The Green-Kubo formula in gauge theories." Physica A: Statistical Mechanics and its Applications 158, no. 1 (May 1989): 251–60. http://dx.doi.org/10.1016/0378-4371(89)90526-8.

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16

Kobayashi, Teppei. "The matrix of the Green function and the Green representation formula of the Stokes equations for a half space." International Journal of Mathematics 31, no. 12 (October 10, 2020): 2050099. http://dx.doi.org/10.1142/s0129167x20500998.

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In this paper, we consider the matrix of the Green function of the Stokes equations for a half space. To the best of author’s knowledge, the matrix of the Green function has been obtained for a half space in [Formula: see text]. But the matrix of the Green function for a half space in [Formula: see text] has not been obtained. Moreover, the author considers that the form of the matrix of the Green function in [Formula: see text] is irregular. In this paper, we obtain the regular form of the matrix of the Green function of the Stokes equations for a half space in [Formula: see text]. Moreover we obtain the Green representation formula of the Stokes equations for a half space in [Formula: see text].

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17

MAGNÚSSON, JÓN I., ALEXANDER RASHKOVSKII, RAGNAR SIGURDSSON, and PASCAL J. THOMAS. "LIMITS OF MULTIPOLE PLURICOMPLEX GREEN FUNCTIONS." International Journal of Mathematics 23, no. 06 (May 6, 2012): 1250065. http://dx.doi.org/10.1142/s0129167x12500656.

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Let Ω be a bounded hyperconvex domain in ℂn, 0 ∈ Ω, and Sε a family of N poles in Ω, all tending to 0 as ε tends to 0. To each Sε we associate its vanishing ideal [Formula: see text] and pluricomplex Green function [Formula: see text]. Suppose that, as ε tends to 0, [Formula: see text] converges to [Formula: see text] (local uniform convergence), and that (Gε)ε converges to G, locally uniformly away from 0; then [Formula: see text]. If the Hilbert–Samuel multiplicity of [Formula: see text] is strictly larger than its length (codimension, equal to N here), then (Gε)ε cannot converge to [Formula: see text]. Conversely, if [Formula: see text] is a complete intersection ideal, then (Gε)ε converges to [Formula: see text]. We work out the case of three poles.

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18

Andrews, C. "Formula One: Fuelling The Green Dream [Motorsport - Fuels]." Engineering & Technology 16, no. 3 (April 1, 2021): 58–61. http://dx.doi.org/10.1049/et.2021.0312.

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19

Eastham, M. S. P. "Reeated Diagonalization and Extended Liouville-Green Asymptotic Formulae." Journal of the London Mathematical Society s2-36, no. 1 (August 1987): 115–25. http://dx.doi.org/10.1112/jlms/s2-36.1.115.

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20

Raineri, Fernando O., and Ernesto O. Timmermann. "A Green–Kubo formula for the sedimentation coefficients." Journal of Chemical Physics 91, no. 6 (September 15, 1989): 3685–88. http://dx.doi.org/10.1063/1.456849.

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21

Duque-Zumajo, D., J. A. de la Torre, and Pep Español. "Non-local viscosity from the Green–Kubo formula." Journal of Chemical Physics 152, no. 17 (May 7, 2020): 174108. http://dx.doi.org/10.1063/5.0006212.

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22

Lian, Bong H., Kefeng Liu, and Shing-Tung Yau. "The Candelas-de la Ossa-Green-Parkes formula." Nuclear Physics B - Proceedings Supplements 67, no. 1-3 (July 1998): 106–14. http://dx.doi.org/10.1016/s0920-5632(98)00126-1.

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23

Shibata, Hiroshi. "Green–Kubo formula derived from large deviation statistics." Physica A: Statistical Mechanics and its Applications 309, no. 3-4 (June 2002): 268–74. http://dx.doi.org/10.1016/s0378-4371(02)00567-8.

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24

Garcia, Luis E., and Siddarth Sankaran. "Green forms and the arithmetic Siegel–Weil formula." Inventiones mathematicae 215, no. 3 (December 5, 2018): 863–975. http://dx.doi.org/10.1007/s00222-018-0839-4.

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25

Schwalm, William A., and Mizuho K. Schwalm. "Closed formulae for Green functions on fractal lattices." Physica A: Statistical Mechanics and its Applications 185, no. 1-4 (June 1992): 195–201. http://dx.doi.org/10.1016/0378-4371(92)90456-z.

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26

Megawati, Megawati, Nina Artanti, Hani Mulyani, Akhmad Darmawan, Heri Syahrian, Puspa Dewi N. Lotulung, Edi Supriadi, et al. "In vitro lipase enzyme inhibitory activities of green tea and other herbs." Jurnal Gizi Indonesia (The Indonesian Journal of Nutrition) 9, no. 1 (December 18, 2020): 48–52. http://dx.doi.org/10.14710/jgi.9.1.48-52.

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Background: Increased lipase activity can increase the amount of monoglycerides and fatty acids absorbed by the body, this is what affects obesity. If pancreatic lipase activity is inhibited, the production of fatty acids will decrease, consequently the level of fat in the blood will also decrease.Objective: To study anti obesity potential of a single herb or a mixture of green tea and other herbs (Syzygium polyanthum. Lv, Artocarpus communis.Lv, Cinnamomum verum..Lv, Manilkara zapota.Lv, Tectona grandis.Lv) by the in vitro inhibition assay of the lipase enzyme activityMethod: A single (8 herbs) or a mixture of three herbs powder (12 formulas) was put into a tea bag with a total weight of 1.5 g to be brewed in 100 mL bottled mineral water at 70⁰-90⁰C for 10 minutes. In vitro lipase enzyme inhibition assay were conducted to measure the ability of these samples as lipase inhibitor. Orlistat used as positive lipase inhibitor. Results: There was a difference results of lipase inhibition activity between the sample of a single and a mixture of herbs. Interestingly, the results shows that formula 3 (mixture of green tea, Manilkara zapota and cinnamon). has 53.942 % inhibition, formula 9 (a mixture of green tea, Syzygium polyanthum and cinnamon) has 67.322 % inhibition and formula 12 (a mixture of green tea, Tectona grandis and cinnamon) has 56.612 % inhibition which close to lipase inhibitory activity by standard Orlistat.Conclusion: The mixture of green tea and two other herbs has a lipase inhibitory activity similar to Orlistat, when compared to the single herb. The highest lipase inhibitory activity is found in formula 9.

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27

Zimeras, S. "Spatial Resolution of Shapes in Gamma Camera Imaging Using an Exact Formula for Solid Angle of View." International Journal of Systems Biology and Biomedical Technologies 1, no. 1 (January 2012): 35–51. http://dx.doi.org/10.4018/ijsbbt.2012010104.

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Modeling of the tomographic weights usually incorporates angle of view, decay and attenuation. A usual assumption is that the gamma camera is a long way from the object, this leads to the approximation that the angle of view subtending the front of the collimator tube is the same as that subtending the back (Weir & Green, 1994). However, if the distance between camera and subject is small then this approximation may not be good enough and artifacts may be produced. In this paper, the derivations of the angle of view and the solid angle of view are analyzed considering distances when the camera is close to the body. The solid angle is explained by an appropriate formula which is defined as the exact solid angle of view. The effect of the solid angle of view for different distances is examined. A comparison between exact solid angle and the approximate solid angle formula of Weir and Green (1994) is presented. Finally the effects of the two formulae on reconstruction are studied using simulated data from circular gamma camera rotation systems. Comparison between the resolution could be achieved by applying multiresolutio-multigrid approaches.

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28

Li, Shan Qing, and Hong Yuan. "A Quasi-Green Function Method for Free Vibration of Clamped Orthotropic Parallelogram Thin Plates on Winkler Foundation." Applied Mechanics and Materials 397-400 (September 2013): 431–34. http://dx.doi.org/10.4028/www.scientific.net/amm.397-400.431.

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The quasi-Green function method (QGFM) is applied to solve the free vibration of clamped orthotropic thin plates with parallelogram boundary shape on Winkler foundation. Firstly the model governing differential equation of the problem is reduced to the boundary value problem of the biharmonic operator, and then it is reduced to the Fredholm integral equation of the second kind by Greens formula. A quasi-Green function is established by using the fundamental solution and the boundary equation of the problem. This function satisfies the homogeneous boundary condition of the problem. The singularity of the kernel of the integral equation is overcome by choosing a suitable form of the normalized boundary equation. The comparison with ANSYS finite element solution shows a good agreement. The proposed method is a novel and effective mathematical one.

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29

Sorkin, Rafael D. "From Green function to quantum field." International Journal of Geometric Methods in Modern Physics 14, no. 08 (May 11, 2017): 1740007. http://dx.doi.org/10.1142/s0219887817400072.

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A pedagogical introduction to the theory of a Gaussian scalar field which shows firstly, how the whole theory is encapsulated in the Wightman function [Formula: see text] regarded abstractly as a two-index tensor on the vector space of (spacetime) field configurations, and secondly how one can arrive at [Formula: see text] starting from nothing but the retarded Green function [Formula: see text]. Conceiving the theory in this manner seems well suited to curved spacetimes and to causal sets. It makes it possible to provide a general spacetime region with a distinguished “vacuum” or “ground state”, and to recognize some interesting formal relationships, including a general condition on [Formula: see text] expressing zero-entropy or “purity”.

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30

Wang, Liyong, Xue Wang, Qingwei Song, Tianying Xie, Xiaoqing Guo, Nan Wang, Guang Jia, and Yuanyuan Han. "Hydrothermal synthesis for the enhanced red and green Sr3Y(PO4)3:Eu3+, Tb3+ phosphors." Modern Physics Letters B 33, no. 05 (February 20, 2019): 1950048. http://dx.doi.org/10.1142/s0217984919500489.

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A series of enhanced red and green emission phosphors: [Formula: see text] (SYP): [Formula: see text], [Formula: see text] were successfully synthesized via a novel hydrothermal method. The structural and optical properties were investigated through XRD and PL (photoluminescence) measurements. The results of PL spectra revealed that SYP exhibited red and green emission for [Formula: see text], [Formula: see text]-phosphors doped, respectively. In order to obtain optimal phosphors, we proposed the concentration of dopants and the reaction time. Results indicated that enhanced red and green emission phosphors SYP may be potential candidates in light-emitting diodes (LEDs).

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31

Hayakawa, Hisao. "Generalized Green-Kubo Formula for a Dissipative Quantum System." Progress of Theoretical Physics Supplement 184 (2010): 545–56. http://dx.doi.org/10.1143/ptps.184.545.

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32

Jakšić, V., Y. Ogata, and C. A. Pillet. "The Green-Kubo Formula for the Spin-Fermion System." Communications in Mathematical Physics 268, no. 2 (September 22, 2006): 369–401. http://dx.doi.org/10.1007/s00220-006-0095-0.

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33

Di Biase, Fausto, and Massimo A. Picardello. "The green formula and H p spaces on trees." Mathematische Zeitschrift 218, no. 1 (January 1995): 253–72. http://dx.doi.org/10.1007/bf02571903.

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34

Bernardin, Cédric, François Huveneers, Joel L. Lebowitz, Carlangelo Liverani, and Stefano Olla. "Green-Kubo Formula for Weakly Coupled Systems with Noise." Communications in Mathematical Physics 334, no. 3 (October 21, 2014): 1377–412. http://dx.doi.org/10.1007/s00220-014-2206-7.

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35

Bourlard, Maryse, and Serge Nicaise. "Abstract green formula and applications to boundary integral equations." Numerical Functional Analysis and Optimization 18, no. 7-8 (January 1997): 667–89. http://dx.doi.org/10.1080/01630569708816786.

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36

Abbasi, A., M. Vik, and M. Vikova. "Color difference formulae evaluation by method of adjustment." World Journal of Engineering 11, no. 1 (March 1, 2014): 89–94. http://dx.doi.org/10.1260/1708-5284.11.1.89.

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This experiment was carried out to test color difference formulae by method of adjustment. 6 different color centers (Red, Yellow, Green, Blue-Green, Blue and Violet) were chosen for this psychophysical experiment. 336 virtual sample pairs were prepared. The mean color difference was three CIELAB units. Each pair was assessed by a panel of 15 observers using psychophysical methods called Method of Adjustment. These visual data were used to test color-difference formulae: CIELAB, CMC, CIE94, DIN99d and CIE2000 with the help of simple statistical measures i.e., PF/3 and Stress. It was found that the visual results obtained from psychophysical method of adjustment show that CIE94 as well as DIN99d still perform well for small color differences.

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37

Ramadon, Delly, Seshiana Sebti Pramesti, and Effionora Anwar. "FORMULATION, STABILITY TFORMULATION, STABILITY TEST AND IN VITRO PENETRATION STUDY OF TRANSETHOSOMAL GEL CONTAINING GREEN TEA (CAMELLIA SINENSIS L. KUNTZE) LEAVES EXTRACTEST AND IN VITRO PENETRATION STUDY OF TRANSETHOSOMAL GEL CONTAINING GREEN TEA(CAMELLIA SINENSIS L. KUNTZE) LEAVES EXTRACT." International Journal of Applied Pharmaceutics 9, no. 5 (September 15, 2017): 91. http://dx.doi.org/10.22159/ijap.2017v9i5.20073.

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Objective: The aim of this study was to increase penetration of epigallocatechin gallate (EGCG) from the extract using transethosomal gel.Methods: Transethosomes (TE) formulae were made using thin layer hydration method with different concentration of green tea extract which was equivalent to 1% (F1), 1.5% (F2), and 2% (F3) of EGCG. F1 was the chosen formula to be incorporated into a gel as a transethosomal gel (TEG). A gel containing green tea extract was also made as a control called as non-transethosomal gel (NTEG). A stability test and in vitro penetration study of gels using Franz diffusion cell were performed.Results: F1 was the chosen formula because it had a spherical shape, a particle size of 112.14±2.19 nm, PDI of 0.166±0.03, a zeta potential of-52.05±1.34 mV, and %EE of 58.06±0.08%. Stability test results showed that TEG more stable than NTEG. The amount of EGCG penetrated from TEG and NTEG were 1391.16±34.89 µg/cm2 and 485.29±14.49 µg/cm2, respectively (p<0.05). The lag time for TEG was around 0.99±0.2 h, while NTEG was 8.69±0.2 h (p<0.05).Conclusion: It can be concluded that transethosomes can improve gel stability and increase the amount of EGCG penetrated through the skin.

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38

Li, Jie, Yang-Ming Lu, Qing-Hao Yang, and Cheng-Fu Yang. "Effects of removing temperature of reduction gas on the luminescence characteristics of Li2BaSiO4:0.003EU2+ green phosphor." International Journal of Modern Physics B 34, no. 22n24 (August 26, 2020): 2040159. http://dx.doi.org/10.1142/s0217979220401591.

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We had successfully synthesized green-emitting phosphors based on Li2BaSiO4 material activated by bivalent europium ions (Eu[Formula: see text]) using a solid-state reaction method in a reducing gas environment and investigated their luminescence properties. The Li2BaSiO4:0.003Eu[Formula: see text] (LSB-Eu) phosphors were synthesized at 850[Formula: see text]C for 1 h, and the reduction gas was removed at 500[Formula: see text]C, 600[Formula: see text]C, 700[Formula: see text]C and 800[Formula: see text]C, respectively. XRD pattern showed that the Li2BaSiO4, Ba2SiO4 and Li4SiO4 phases were observed in the synthesized Li2BaSiO4 composition. As the reduction gas was removed at 800[Formula: see text]C, the LSB-Eu phosphor emitted a weak red light rather than a green light. Two weak emission peaks were found at about 588 nm and 613 nm corresponding to [Formula: see text] and [Formula: see text] transitions. As temperature to remove the reduction gas was lower than 800[Formula: see text]C, the emission spectra of LSB-Eu phosphors reveled a broad peak centered at 501 nm, which emitted a green color. The intensity of photoluminescence excitation (PLE) photoluminescence emission (PL) spectra increased as the removing temperature was decreased from 700[Formula: see text]C to 500[Formula: see text]C and saturated at 500[Formula: see text]C. These results show that LSB-Eu can be a noteworthy candidate of green-emitting phosphor for the investigation of white light-emitting diodes (WLEDs).

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39

Рудой and Dmitriy Rudoy. "MIXED FEED FORMULA FOR VALUABLE FISH SPECIES WITH REPLACE THE EXPENSIVE PROTEIN COMPONENTS BY GREEN PROTEIN CONCENTRATES." Vestnik of Kazan State Agrarian University 9, no. 4 (December 25, 2014): 83–87. http://dx.doi.org/10.12737/7731.

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This article presents the results of a study of the amino acid composition of green protein concentrates. The technique of recalculation of formulations for the replacement of expensive protein components by the protein concentrates from green plants. The authors drafted recommendations for replacement such feed ingredients like soy, meat and bone and fish meal by cheaper green protein concentrates. According to the protein content, the soybean is proposed to replace by green protein concentrates of canola, alfalfa, fodder beet; the meat and bone meal by green protein concentrates of canola and alfalfa, fish meal by green protein concentrates of rape.

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40

Zhao, Ruju, Chengtao Yuan, and Libin Li. "The Automorphism Group of Green Algebra of 9-Dimensional Taft Hopf Algebra." Algebra Colloquium 27, no. 04 (November 5, 2020): 767–98. http://dx.doi.org/10.1142/s1005386720000656.

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Let H3 be the 9-dimensional Taft Hopf algebra, let [Formula: see text] be the corresponding Green ring of H3, and let [Formula: see text] be the automorphism group of Green algebra [Formula: see text] over the real number field ℝ. We prove that the quotient group [Formula: see text] is isomorphic to the direct product of the dihedral group of order 12 and the cyclic group of order 2, where T1 is the isomorphism class which contains the identity map and is isomorphic to a group [Formula: see text] with multiplication given by [Formula: see text].

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41

Lam, Thomas, Seung Jin Lee, and Mark Shimozono. "Back stable Schubert calculus." Compositio Mathematica 157, no. 5 (April 30, 2021): 883–962. http://dx.doi.org/10.1112/s0010437x21007028.

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We study the back stable Schubert calculus of the infinite flag variety. Our main results are: –a formula for back stable (double) Schubert classes expressing them in terms of a symmetric function part and a finite part;–a novel definition of double and triple Stanley symmetric functions;–a proof of the positivity of double Edelman–Greene coefficients generalizing the results of Edelman–Greene and Lascoux–Schützenberger;–the definition of a new class of bumpless pipedreams, giving new formulae for double Schubert polynomials, back stable double Schubert polynomials, and a new form of the Edelman–Greene insertion algorithm;–the construction of the Peterson subalgebra of the infinite nilHecke algebra, extending work of Peterson in the affine case;–equivariant Pieri rules for the homology of the infinite Grassmannian;–homology divided difference operators that create the equivariant homology Schubert classes of the infinite Grassmannian.

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42

Kong, Xiang-zhi, and K. P. Shum. "GREEN ♯-RELATIONS AND NORMAL ${\cal H}^\sharp$-CRYPTOGROUPS." Asian-European Journal of Mathematics 02, no. 04 (December 2009): 637–48. http://dx.doi.org/10.1142/s1793557109000534.

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In this paper, a new set of generalized Green's relations on a semigroup S, namely the set of Green ♯-relations, are introduced. By using these new Green ♯-relations, we prove that an [Formula: see text]-abundant semigroup is a normal [Formula: see text]-cryptogroup if and only if it is a strong semilattice of completely [Formula: see text]-simple cryptogroups. Our theorem simplifies a construction theorem of normal [Formula: see text]-abundant cryptographs previously described by the authors. Some properties of the good homomorphisms between the normal [Formula: see text]-cryptogroups are also investigated.

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43

Itami, Masato, and Shin-ichi Sasa. "Derivation of Stokes’ Law from Kirkwood’s Formula and the Green–Kubo Formula via Large Deviation Theory." Journal of Statistical Physics 161, no. 3 (August 13, 2015): 532–52. http://dx.doi.org/10.1007/s10955-015-1349-z.

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44

Kundu, Anupam, Abhishek Dhar, and Onuttom Narayan. "The Green–Kubo formula for heat conduction in open systems." Journal of Statistical Mechanics: Theory and Experiment 2009, no. 03 (March 3, 2009): L03001. http://dx.doi.org/10.1088/1742-5468/2009/03/l03001.

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45

Lee, M. Howard. "Fick's Law, Green-Kubo Formula, and Heisenberg's Equation of Motion." Physical Review Letters 85, no. 12 (September 18, 2000): 2422–25. http://dx.doi.org/10.1103/physrevlett.85.2422.

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Samsonov, B. F., C. V. Sukumar, and A. M. Pupasov. "SUSY transformation of the Green function and a trace formula." Journal of Physics A: Mathematical and General 38, no. 34 (August 10, 2005): 7557–65. http://dx.doi.org/10.1088/0305-4470/38/34/009.

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47

Jakšić, Vojkan, Yoshiko Ogata, and Claude-Alain Pillet. "The Green–Kubo Formula for Locally Interacting Fermionic Open Systems." Annales Henri Poincaré 8, no. 6 (September 2007): 1013–36. http://dx.doi.org/10.1007/s00023-007-0327-7.

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48

Wang, Liyong, Yuanyuan Han, Nan Wang, Shiqi Wang, Danyang Liang, Dan Wang, Guoxin Lu, and Guang Jia. "Lanthanide ions-doped SrMoO4 microcrystals: Synthesis, characterizations, luminescence, and detection of Fe3+ ions." Functional Materials Letters 10, no. 03 (March 20, 2017): 1750027. http://dx.doi.org/10.1142/s1793604717500278.

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A facile and green synthetic method for the synthesis of a Ln[Formula: see text](Eu, Tb)-doped SrMoO4 (SMO) microcrystals were developed using an environment-friendly low temperature hydrothermal method assisting with phenol formaldehyde resin (PFr). The microcrystals show narrow distribution and uniform particle size, and strong red and green emissions from Eu[Formula: see text] and Tb[Formula: see text] ions, and it is selectively quenched upon addition Fe[Formula: see text] ions, thus making the microcrystals as a potential Fe[Formula: see text] ions sensing material, and the detection limit is nearly micromole level.

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49

Tuasalamony, Mutia M., Cecilia Anna Seumahu, and Anneke Pesik. "UJI AKTIVITAS SEDIAAN SPRAY HAND SANITIZER KOMBINASI EKSTRAK DAUN SIRIH HIJAU DAN DAUN SERAI SEBAGAI ANTIBAKTERI TERHADAP Staphylococcus aureus." Jurnal Biosilampari : Jurnal Biologi 4, no. 2 (June 22, 2022): 97–106. http://dx.doi.org/10.31540/biosilampari.v4i2.1515.

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The content of extracts of green betel leaf and lemongrass leaves have antibacterial compounds to inhibit the growth of Staphylococcus aureus. The purpose of this study was to determine the antibacterial activity of the spray hand sanitizer preparation of a combination of green betel leaf extract and lemongrass against Staphylococcus aureus. This type of research is an experimental laboratory. Green betel leaves and lemongrass leaves were partially macerated, formulated to be hand sanitizers in a ratio of 1:2, 2:1, and 2:2. The formula was tested for antibacterial activity by the dilution method. The results showed that the hand sanitizer combination of green betel leaf extract and lemongrass had antibacterial activity against Staphylococcus aureus with a bactericidal formula of 0 CFU/ml and total bacteria with an antiseptic formula of 0 CFU. From this research, it is known that the spray hand sanitizer combination of green betel leaf extract and lemongrass is effective in inhibiting and killing Staphylococcus aureus.

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50

Biard, Séverine, and Emil J. Straube. "L2-Sobolev theory for the complex Green operator." International Journal of Mathematics 28, no. 09 (August 2017): 1740006. http://dx.doi.org/10.1142/s0129167x17400067.

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These notes are concerned with the [Formula: see text]-Sobolev theory of the complex Green operator on pseudoconvex, oriented, bounded and closed Cauchy–Riemann (CR)-submanifolds of [Formula: see text] of hypersurface type. This class of submanifolds generalizes that of boundaries of pseudoconvex domains. We first discuss briefly the CR-geometry of general CR-submanifolds and then specialize to this class. Next, we review the basic [Formula: see text]-theory of the tangential CR operator and the associated complex Green operator(s) on these submanifolds. After these preparations, we discuss recent results on compactness and regularity in Sobolev spaces of the complex Green operator(s).

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