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1

Kuzmina, Liudmila, Yuri Osipov, and Artem Pesterev. "CHARACTERISTIC METHOD FOR SOLVING FILTRATION PROBLEM." International Journal for Computational Civil and Structural Engineering 19, no. 3 (2023): 39–48. http://dx.doi.org/10.22337/2587-9618-2023-19-3-39-48.

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During construction, a liquid solution of a grout or waterproof filler is pumped into porous rock to improve its properties. The filtration of a suspension moving at a variable speed in a porous medium is simulated. A one-dimensional problem of filtration in a homogeneous porous medium with a curvilinear concentration front of suspended and retained particles is considered. For the numerical solution of the problem by the method of finite differences, the method of characteristics is used. The transition to characteristic variables allows one to straighten the front and construct a discrete gr
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2

Lawler, D. F., and J. A. Nason. "Granular media filtration: old process, new thoughts." Water Science and Technology 53, no. 7 (2006): 1–7. http://dx.doi.org/10.2166/wst.2006.201.

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The design of granular media filters has evolved over many years so that modern filters have larger media sizes and higher filtration velocities than in earlier times. The fundamental understanding of filtration has also improved over time, with current models that account reasonably for all characteristics of the media, the suspension and the filter operation. The methodology for design, however, has not kept pace with these improvements; current designs are based on pilot plants, past experience, or a simple guideline (the ratio of the bed depth to media grain size). We propose that design s
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Dziubak, Tadeusz, and Yurii Yendzheiovskyi. "Properties analysis of filtration materials with nanofibers addition." Bulletin of the Military University of Technology 68, no. 1 (2019): 111–29. http://dx.doi.org/10.5604/01.3001.0013.1475.

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Nanofiber properties, methods of their production, and areas of their application have been presented. Parameters describing filtration materials with nanofibers addition were presented, and analyzed. Methodology for testing aerodynamic characteristics as well as characteristics of: efficiency, accuracy, and filter cartridges resistance with nanofibers addition, depending on the dust mass loading km were developed. Characteristic filtration parameters of the materials with nanofibers addition are presented. Five filtration inserts, differing in the filtration material with nanofibers addition,
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Matsumoto, Yutaka, Yoshiyuki Totsuka, Tadashi Sakata, Tokihisa Higashi, and Wataru Takahashi. "Characteristic of filtration for methane fermentation suspension by ceramic membranes - Study of filtration condition." KAGAKU KOGAKU RONBUNSHU 14, no. 4 (1988): 462–69. http://dx.doi.org/10.1252/kakoronbunshu.14.462.

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5

Abrashkin, Viktor Aleksandrovich. "Ramification filtration and differential forms." Izvestiya: Mathematics 87, no. 3 (2023): 421–38. http://dx.doi.org/10.4213/im9322e.

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Let $L$ be a complete discrete valuation field of prime characteristic $p$ with finite residue field. Denote by $\Gamma_{L}^{(v)}$ the ramification subgroups of $\Gamma_{L}=\operatorname{Gal}(L^{\mathrm{sep}}/L)$. We consider the category $\operatorname{M\Gamma}_{L}^{\mathrm{Lie}}$ of finite $\mathbb{Z}_p[\Gamma_{L}]$-modules $H$, satisfying some additional (Lie)-condition on the image of $\Gamma_L$ in $\operatorname{Aut}_{\mathbb{Z}_p}H$. In the paper it is proved that all information about the images of the groups $\Gamma_L^{(v)}$ in $\operatorname{Aut}_{\mathbb{Z}_p}H$ can be explicitly ext
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Abrashkin, Viktor Aleksandrovich. "Ramification filtration and differential forms." Известия Российской академии наук. Серия математическая 87, no. 3 (2023): 5–22. http://dx.doi.org/10.4213/im9322.

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Let $L$ be a complete discrete valuation field of prime characteristic $p$ with finite residue field. Denote by $\Gamma_{L}^{(v)}$ the ramification subgroups of $\Gamma_{L}=\operatorname{Gal}(L^{\mathrm{sep}}/L)$. We consider the category $\operatorname{M\Gamma}_{L}^{\mathrm{Lie}}$ of finite $\mathbb{Z}_p[\Gamma_{L}]$-modules $H$, satisfying some additional (Lie)-condition on the image of $\Gamma_L$ in $\operatorname{Aut}_{\mathbb{Z}_p}H$. In the paper it is proved that all information about the images of the groups $\Gamma_L^{(v)}$ in $\operatorname{Aut}_{\mathbb{Z}_p}H$ can be explicitly ext
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7

Fu, Hai Ming, and You Jun Zhao. "Experimental Study on Flow Field Characteristic of Bag Filter." Advanced Materials Research 508 (April 2012): 254–58. http://dx.doi.org/10.4028/www.scientific.net/amr.508.254.

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In order to select best filtration velocity of bag filters and to improve gas flow distribution, to increase collection efficiency and to reduce operation resistance, gas flow distribution was tested by using hot-wire anemometer, CFD simulation was made and basic accordant result was obtained by comparing simulation result with experimental result. Test results and analysis showed that: Uneven distribution of flow field was caused by jet flow, critical filtration velocity exited in flow field distribution. Improving measure of flow field and optimize method of bag filter structure was putted o
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8

Gruber, Jonathan. "Coxeter combinatorics for sum formulas in the representation theory of algebraic groups." Representation Theory of the American Mathematical Society 26, no. 3 (2022): 68–93. http://dx.doi.org/10.1090/ert/599.

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Let G G be a simple algebraic group over an algebraically closed field F \mathbb {F} of characteristic p ≥ h p \geq h , the Coxeter number of G G . We observe an easy ‘recursion formula’ for computing the Jantzen sum formula of a Weyl module with p p -regular highest weight. We also discuss a ‘duality formula’ that relates the Jantzen sum formula to Andersen’s sum formula for tilting filtrations and we give two different representation theoretic explanations of the recursion formula. As a corollary, we also obtain an upper bound on the length of the Jantzen filtration of a Weyl module with p p
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9

Matsumoto, Yutaka, Yoshiyuki Totsuka, Tadashi Sakata, Tokihisa Higashi, and Wataru Takahashi. "Characteristic of filtration for methane fermentation suspension by ceramic membranes. Semicontinuous filtration fermentation and membrane permeability." KAGAKU KOGAKU RONBUNSHU 15, no. 1 (1989): 145–51. http://dx.doi.org/10.1252/kakoronbunshu.15.145.

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10

Liu, Sheng, Yuan Wang, Guo Dong Li, and Di Feng. "Filtration characteristics of composite filter of woven-nonwoven geotextile in tailings ponds." Journal of Industrial Textiles 52 (August 2022): 152808372211194. http://dx.doi.org/10.1177/15280837221119405.

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Nonwoven geotextiles are widely used in tailings ponds for filtration and drainage, but there is a risk of failure of nonwoven geotextile due to physical clogging. In this study, to reduce the clogging of nonwoven geotextile filter in tailings ponds and improve its long-term drainage performance, a layer of woven geotextile is placed between tailings and nonwoven geotextile to form a composite filter of woven-nonwoven geotextile. A series of gradient ratio tests were conducted to study the influence of the aperture of woven geotextile on the filtration characteristics of composite filter. The
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11

Zhang, Bao Li, Jing Lu, Wen Liang Wu, Ying Si Xie, and Yi Zhi Sheng. "The Research and Development of Filtration Media Materials for Application in Water Filtration Treatment Systems." Advanced Materials Research 779-780 (September 2013): 825–30. http://dx.doi.org/10.4028/www.scientific.net/amr.779-780.825.

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This paper introduced the vary application filtration treatment systems, different grades of water and several media materials that could be applied in infiltration treatment systems, along with characteristic of these media materials. The characterization and analyses of the media and their effects on the removal of specific contaminants, and factors affecting the fate and behavior of various contaminants in filtration systems were discussed. Case studies of the appropriate application of infiltration treatment systems were also included.
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12

Nakkajima, Yukiyoshi. "Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0." Mémoires de la Société mathématique de France 1 (2012): 1–250. http://dx.doi.org/10.24033/msmf.441.

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13

Zheng, Keli, and Yongzheng Zhang. "The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type." Abstract and Applied Analysis 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/891241.

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This paper is concerned with the natural filtration of Lie superalgebraS(n,m)of special type over a field of prime characteristic. We first construct the modular Lie superalgebraS(n,m). Then we prove that the natural filtration ofS(n,m)is invariant under its automorphisms.
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14

Wong, W. J. "A filtration of Weyl modules for large weights." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 45, no. 2 (1988): 187–94. http://dx.doi.org/10.1017/s1446788700030093.

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AbstractA filtration is constructed for each dual Weyl module of a connected reductive group in prime characteristic p, and the quotients of the filtration are identified when the highest weight is far enough from the walls of the dominant chamber. The existence of certain composition factors is deduced.
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15

Parthasarathi, R., and P. Gargi. "The Euler Characteristic of Parabolic Sheaves." Indian Journal Of Science And Technology 17, no. 16 (2024): 1695–701. http://dx.doi.org/10.17485/ijst/v17i16.493.

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Objectives: The primary aim of this study is to explicitly determine the Euler characteristic of the parabolic sheaves with rank 2 on a smooth projective algebraic surface defined over complex numbers with the smooth irreducible parabolic divisor . Methods: The computation of the parabolic Hilbert polynomial involves the use of -filtered sheaves on a smooth projective surface , with weights corresponding to the points where the filtration jumps. The Riemann-Roch theorem and Chern class computation have also been used. Findings: The study provides explicit computations of the parabolic Hilbert
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16

Yuan, De Chun, Sheng Ke Wei, Ya Bo Shao, and Hong Wei Cui. "Application and Characteristic of Adjustable Fiber Density Filter Technology." Advanced Materials Research 347-353 (October 2011): 323–28. http://dx.doi.org/10.4028/www.scientific.net/amr.347-353.323.

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This paper introduces the fiber filter device by adjusting the charge and discharge water to adjust the fiber density - filter accuracy, interception capacity, filtration resistance and other parameters. In the industrial, commercial market prospects, environmental, economic and social benefit is remarkable.
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17

BLICKLE, MANUEL, and AXEL STÄBLER. "BERNSTEIN–SATO POLYNOMIALS AND TEST MODULES IN POSITIVE CHARACTERISTIC." Nagoya Mathematical Journal 222, no. 1 (2016): 74–99. http://dx.doi.org/10.1017/nmj.2016.11.

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In analogy with the complex analytic case, Mustaţă constructed (a family of) Bernstein–Sato polynomials for the structure sheaf${\mathcal{O}}_{X}$and a hypersurface$(f=0)$in$X$, where$X$is a regular variety over an$F$-finite field of positive characteristic (see Mustaţă,Bernstein–Sato polynomials in positive characteristic, J. Algebra321(1) (2009), 128–151). He shows that the suitably interpreted zeros of his Bernstein–Sato polynomials correspond to the$F$-jumping numbers of the test ideal filtration${\it\tau}(X,f^{t})$. In the present paper we generalize Mustaţă’s construction replacing${\mat
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18

., Hai Thanh Pham, and Urs Peuker. "Dewatering fine solid suspension by using steam pressure filtration." Journal of Mining and Earth Sciences 62, no. 3b (2021): 9–21. http://dx.doi.org/10.46326/jmes.2021.62(3b).02.

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Steam pressure filtration is the combination of mechanical and thermal in one equipment. This process shows the advantages in comparison to conventional pressure filtration by the characteristic of its distinction mechanism. Application of steam pressure filtration can be listed: dewatering the suspension of fine solid, remove the contaminant, dangerous chemical, dissolved ions, protecting the human health as well as the environment. This paper shows the mechanism of steam pressure filtration as well as the result of tests, the comparison related to the efficiency between steam pressure filtra
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19

Zainoulline, Kirill. "Twisted gamma filtration of a linear algebraic group." Compositio Mathematica 148, no. 5 (2012): 1645–54. http://dx.doi.org/10.1112/s0010437x11007494.

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AbstractIn the present paper we introduce and study the twisted γ-filtration on K0(Gs), where Gs is a split simple linear algebraic group over a field k of characteristic prime to the order of the center of Gs. We apply this filtration to construct nontrivial torsion elements in γ-rings of twisted flag varieties.
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20

ERDMANN, KARIN. "STRATIFYING SYSTEMS, FILTRATION MULTIPLICITIES AND SYMMETRIC GROUPS." Journal of Algebra and Its Applications 04, no. 05 (2005): 551–55. http://dx.doi.org/10.1142/s021949880500140x.

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We show that the theorem by Hemmer and Nakano, on uniqueness of Specht filtration multiplicities, can be proved working entirely with representations of symmetric groups, or Hecke algebras. Furthermore, we give a new proof that Schur algebras are quasi-hereditary provided the characteristic of the field is at least 5. Our tools are some more general results on stratifying systems.
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21

Pelaez, Pablo. "On the Functoriality of the Slice Filtration." Journal of K-Theory 11, no. 1 (2013): 55–71. http://dx.doi.org/10.1017/is013001013jkt196.

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AbstractLet k be a field with resolution of singularities, and X a separated k-scheme of finite type with structure map g. We show that the slice filtration in the motivic stable homotopy category commutes with pullback along g. Restricting the field further to the case of characteristic zero, we are able to compute the slices of Weibel's homotopy invariant K-theory [24] extending the result of Levine [10], and also the zero slice of the sphere spectrum extending the result of Levine [10] and Voevodsky [23]. We also show that the zero slice of the sphere spectrum is a strict cofibrant ring spe
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22

Khizbullina, S. F. "Single-phase filtration in the porous medium saturated with anomalous thermoviscous liquid." Proceedings of the Mavlyutov Institute of Mechanics 6 (2008): 184–92. http://dx.doi.org/10.21662/uim2008.1.027.

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In work the single-phase filtration of anomalous thermoviscous liquid on an example of thermoreversible polymer gel, named МЕТКА, is simulated numerically. Features of a filtration liquid flow at her injection into porous medium are investigated. Characteristic distribution pictures of fields of temperature, viscosity and velocity vector components are constructed when using first-type and third-type boundary conditions.
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23

Nazarenko, N. N., and A. G. Knyazeva. "Influence of porosity on filtration of biological fluid through a two-layer capillary wall." Izvestiya vysshikh uchebnykh zavedenii. Fizika, no. 3 (2021): 40–46. http://dx.doi.org/10.17223/00213411/64/3/40.

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On the basis of proposed new filtration model the peculiarities of concentration distribution of component carried by two-component biological liquid and fluid velocity in capillary with two-layer porous walls in steady-state mode are studied. Mathematical model takes into account such important phenomena as concentration expansion and viscosity dependence on concentration. The fluid flow corresponds to the Brinkman model. Dimensionless complexes linking characteristic physical scales of different phenomena are highlighted. Influence of model parameters on biological liquid filtration process
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24

Ungvári, Csaba, Andrea Izbéki-Szabolcsik, and Ildikó Bodnár. "Analysis of Greywater Samples Treated by Filtration." Műszaki Tudományos Közlemények 9, no. 1 (2018): 247–50. http://dx.doi.org/10.33894/mtk-2018.09.57.

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Abstract In our research we pre-treated synthetically produced greywaters with filtration on various filters. We characterised the quality of greywater samples using several parameters. We investigated these parameters on the untreated and pre-treated samples as well. We evaluated the efficiency of the treatments by measuring the characteristic parameters. It was shown that the most effective pre-treatment for the greywater’s preparation for reuse is filtration on silica sand or activated charcoal and silica sand combined filter media.
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Li, Zhijun, Boxi Shen, Yanke Zhang, Xiangjin Kong, and Shilong Li. "Simulation of deep-bed filtration of a gasoline particulate filter with inhomogeneous wall structure under different particle size distributions." International Journal of Engine Research 22, no. 7 (2021): 2107–18. http://dx.doi.org/10.1177/1468087421992216.

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In order to describe the microstructure of the porous wall of a gasoline particulate filter (GPF), a pore size distribution based on a probability density function (PDF) and a non-uniform porosity distribution are introduced. The dynamic process of deep-bed filtration in GPF with inhomogeneous wall structure is studied, considering different particle size distributions (PSDs). The results show that most of the particles are captured in the top region of the porous wall, in which the porosity and permeability reduce more obviously during dynamic filtration, and the bottom of the porous wall con
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ABRASHKIN, VICTOR A. "ON A LOCAL ANALOGUE OF THE GROTHENDIECK CONJECTURE." International Journal of Mathematics 11, no. 02 (2000): 133–75. http://dx.doi.org/10.1142/s0129167x0000009x.

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We prove that the functor from the category of all complete discrete valuation fields with finite residue fields of characteristic ≠2 to the category of profinite filtered groups given by taking the Galois group of corresponding field together with its filtration by higher ramification subgroups is fully faithful. If [K; ℚp]<∞ we also study the opportunity to recover K from the knowledge of the filtered group ΓK(p)/ΓK(p)(a), where a>0, ΓK(p) is the absolute Galois group of the maximal p-extension of K and filtration is induced by ramification filtration.
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Оleksandr, Omelchenko, Deynichenko Gregoriy, Guzenko Vasyl, et al. "Determining the influence of membrane treatment process on the quality indicators of beer." Eastern-European Journal of Enterprise Technologies 4, no. 11 (112) (2021): 66–72. https://doi.org/10.15587/1729-4061.2021.238216.

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The issue related to the possibility of applying the filtration process of young beer with the use of experimental microfiltration polymer semi-permeable membrane elements was considered. It was shown that under modern conditions, it is expedient to use membrane processes of young beer filtration in the brewing industry. The process of membrane treatment of beer can be carried out at the stage of pasteurization of young beer in a cold way. Such actions can be directed to preserve the organoleptic parameters of the final product ‒ filtered beer. An experimental setup for the study of the main t
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28

Xu, Xiaoning, та Bing Mu. "Infinite-Dimensional Modular Lie SuperalgebraΩ". Abstract and Applied Analysis 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/923101.

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All ad-nilpotent elements of the infinite-dimensional Lie superalgebraΩover a field of positive characteristic are determined. The natural filtration of the Lie superalgebraΩis proved to be invariant under automorphisms by characterizing ad-nilpotent elements. Then an intrinsic property is obtained by the invariance of the filtration; that is, the integers in the definition ofΩare intrinsic. Therefore, we classify the infinite-dimensional modular Lie superalgebraΩin the sense of isomorphism.
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29

Yu, Yanzi, Cheng Zhang, Jiuzheng Zhang, et al. "Theoretical and experimental research of filtration efficiency and resistance of multi-fiber air-filter materials." Journal of Physics: Conference Series 2790, no. 1 (2024): 012006. http://dx.doi.org/10.1088/1742-6596/2790/1/012006.

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Abstract The filtration efficiency and resistance during the process of fluid flowing through filter materials is significantly influenced by the characteristic of filter materials, especially for air-filter materials which generally have a multi-fiber composite structure. Therefore, it is important to pay attention to the filtration efficiency and resistance of multi-fiber filter materials. In this study, theoretical equations of filtration efficiency and resistance were proposed based on uniform and multi-fiber composite filter materials, and series of experimental verifications had been imp
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30

Benz, Nikolai, Philipp Lösch, and Sergiy Antonyuk. "Influence of the Measurement Resolution on the Filtration Analysis: An Improved Test Setup According to VDI 2762 Guideline." Processes 11, no. 2 (2023): 299. http://dx.doi.org/10.3390/pr11020299.

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Specific parameters of cake filtration, such as the filter cake and filter medium resistances, can be determined using the pressurized housing cell standardized in the guideline VDI 2762 by measuring the filtrate mass on a laboratory scale. For reproducible measurements and an exact detection of the filtration start, an improved test setup is presented and compared with a standard setup according to the guideline VDI 2762. On the basis of measurements without and with a particle system to be filtered, it is shown that the characteristic nonlinear course at the beginning of each filtration, whi
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BURENKOVA, V. V., and P. M. BURENKOV. "DOMESTIC EXPERIENCE OF ASSESSING THE FILTRATION STRENGTH OF NON-COHESIVE SOILS OF DAM BODY AND BASE." Prirodoobustrojstvo, no. 4 (2020): 84–91. http://dx.doi.org/10.26897/1997-6011-2020-4-84-91.

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The article considers a retrospective of study of the filtration stability of non-cohesive (sand and gravel) soils carried out by specialists of the Soviet and Russian periods. These are the works of hydraulic scientists: Izbash S.V., Patrashev A.N., Chugaev R.R., Istomina V.S., Pavchich M.P., Pravedny G.H., Lubochkov E.A., Burenkova V.V., Zhilenkov V.N. and others. There is given a detailed description of characteristic features of the operation of filters and drainages of hydraulic structures, earth dams, dikes, other water retaining structures. Numerous approaches to the suffusion processes
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32

Bendel, Christopher P., Daniel K. Nakano, Cornelius Pillen, and Paul Sobaje. "Counterexamples to the tilting and (p,r)-filtration conjectures." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 767 (2020): 193–202. http://dx.doi.org/10.1515/crelle-2019-0036.

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AbstractIn this paper the authors produce a projective indecomposable module for the Frobenius kernel of a simple algebraic group in characteristic p that is not the restriction of an indecomposable tilting module. This yields a counterexample to Donkin’s longstanding Tilting Module Conjecture. The authors also produce a Weyl module that does not admit a p-Weyl filtration. This answers an old question of Jantzen, and also provides a counterexample to the {(p,r)}-Filtration Conjecture.
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33

Beknazarova, Saida, Mexriban Jaumitbayeva, Doston Xamroyev, and Shaxboz Musirmonov. "METHOD OF FILTERING DIGITAL IMAGES BY PULSE CHARACTERISTIC IN THE SPECTRAL REGION." Актуальные вопросы развития инновационно-информационных технологий на транспорте 1, no. 1 (2022): 66–69. http://dx.doi.org/10.47689/978-9943-7818-0-1-pp66-69.

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In the world, scientific research is being conducted to improve the quality level of digital television images, methods for modeling filtration processes and highly efficient control systems in a number of priority areas, including: on the formation of mathematical models of filtration processes, improving the methods of wavelet, Fourier, Haar, Walsh-Hadamard, Karhunen-Loev in increasing the clarity and brightness of images based on linear and nonlinear differential equations; creation of methods for eliminating additive, pulsed and adaptive-Gaussian types of noise in images using additive and
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34

Agwu, Okorie E., Anietie N. Okon, and Francis D. Udoh. "A Comparative Study of Diesel Oil and Soybean Oil as Oil-Based Drilling Mud." Journal of Petroleum Engineering 2015 (February 11, 2015): 1–10. http://dx.doi.org/10.1155/2015/828451.

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Oil-based mud (OBM) was formulated with soybean oil extracted from soybean using the Soxhlet extraction method. The formulated soybean mud properties were compared with diesel oil mud properties. The compared properties were rheological properties, yield point and gel strength, and mud density and filtration loss properties, fluid loss and filter cake. The results obtained show that the soybean oil mud exhibited Bingham plastic rheological model with applicable (low) yield point and gel strength when compared with the diesel oil mud. The mud density measurement showed that soybean OBM was slig
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35

Wang, Han, Zuo Yi Yang, Jin Yong Liu, Gao Feng Zheng, and Ling Min Chen. "Explore on Pressure-Drop Performance of Nanofibrous Filtration Membrane." Advanced Materials Research 236-238 (May 2011): 1885–88. http://dx.doi.org/10.4028/www.scientific.net/amr.236-238.1885.

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High filtration efficiency of nanofibrous membrane has been proved in air filtration area, but, in addition to filtration efficiency, pressure drop is another important characteristic of fibrous filter. Because pressure-drop is related to energy wastage of filtration, it’s necessary to study. While there are not enough studies dedicated to pressure-drop of nanofibrous membrane filters. Here, different thickness PVA nanofibrous membranes were made by electrospinning, and they deposited on cotton scaffolds to form nanofibrous filter samples. Through testing these samples, we found as thickness o
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36

Li, Lan, and Bo Wen Cheng. "Study on the Sludge Dewatering Based on the Filtration Characteristic of Geotextiles." Advanced Materials Research 1004-1005 (August 2014): 967–71. http://dx.doi.org/10.4028/www.scientific.net/amr.1004-1005.967.

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The dehydration and minimization of sludge depended on filtering technology of geotextile is a hot issue in environmental project. By studying related process, the types, weaving forms, weaving structures and pore sizes of geotextile were tested. CPAM was the optimal flocculant with the dose of 90-110 mg/L and twill weaving geotextile with pore size of 0.5 mm was best. The final water content of sludge could drop to 40 %.
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37

Crowley, Diarmuid, and Thomas Schick. "The Gromoll filtration, KO–characteristic classes and metrics of positive scalar curvature." Geometry & Topology 17, no. 3 (2013): 1773–89. http://dx.doi.org/10.2140/gt.2013.17.1773.

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38

RIZELL, GEORGIOS DIMITROGLOU. "Nontriviality results for the characteristic algebra of a DGA." Mathematical Proceedings of the Cambridge Philosophical Society 162, no. 3 (2016): 419–33. http://dx.doi.org/10.1017/s0305004116000645.

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AbstractAssume that we are given a semifree noncommutative differential graded algebra (DGA for short) whose differential respects an action filtration. We show that the canonical unital algebra map from the homology of the DGA to its characteristic algebra, i.e. the quotient of the underlying algebra by the two-sided ideal generated by the boundaries, is a monomorphism. The main tool that we use is the weak division algorithm in free noncommutative algebras due to P. Cohn.
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39

Khizbullina, S. F. "Filtration of anomalous thermoviscous liquid in layered non-uniform formation." Proceedings of the Mavlyutov Institute of Mechanics 4 (2006): 251–57. http://dx.doi.org/10.21662/uim2006.1.022.

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The mathematical model is developed and the numerical research of a filtration flow features of liquid with model nonmonotonic dependence of viscosity on temperature is conducted. Existence of the ”viscous barrier“ defining character of a filtration flow of anomalous thermoviscous liquid in the porous medium is established. Characteristic pictures of the steady distribution of viscosity and temperature in layered non-uniform formation are constructed. It is established that formation flow rate depends on a maximum of viscosity coefficient and pressure difference essentially.
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40

Kouropoulos, Giorgos. "THE EFFECT OF THE COEFFICIENT OF RESTITUTION TO THE PARTICLE COLLECTION EFFICIENCY DURING THE PROCESS OF MAGNETIC FILTRATION - NUMERICAL APPROACH." Journal of Urban and Environmental Engineering 9, no. 1 (2015): 38–44. http://dx.doi.org/10.4090/juee.2015.v9n1.038044.

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In the present study, the effect of the coefficient of restitution to the particle collection efficiency of magnetic filter during magnetic filtration of a fluid will be examined. Initially, are described the available mathematical models that give efficiency of magnetic filtration in relation to various parameters and physical quantities. Also, the role of coefficient of restitution in the magnetic filtration models will be reported. Furthermore, is formulated the basic equation that examines the change of filtration efficiency with regard to the coefficient of restitution. In the last step,
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41

Kouropoulos, Giorgos. "THE EFFECT OF THE COEFFICIENT OF RESTITUTION TO THE PARTICLE COLLECTION EFFICIENCY DURING THE PROCESS OF MAGNETIC FILTRATION - NUMERICAL APPROACH." Journal of Urban and Environmental Engineering 9, no. 1 (2015): 38–44. http://dx.doi.org/10.4090/juee.2015.v9n1.38-44.

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In the present study, the effect of the coefficient of restitution to the particle collection efficiency of magnetic filter during magnetic filtration of a fluid will be examined. Initially, are described the available mathematical models that give efficiency of magnetic filtration in relation to various parameters and physical quantities. Also, the role of coefficient of restitution in the magnetic filtration models will be reported. Furthermore, is formulated the basic equation that examines the change of filtration efficiency with regard to the coefficient of restitution. In the last step,
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42

Lipowska, B., J. Witek, T. Wala, et al. "Cast Steel Filtration Trials Using Ceramic-Carbon Filters." Archives of Foundry Engineering 14, no. 4 (2014): 61–66. http://dx.doi.org/10.2478/afe-2014-0087.

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Abstract Trials of cast steel filtration using two types of newly-developed foam filters in which carbon was the phase binding ceramic particles have been conducted. In one of the filters the source of carbon was flake graphite and coal-tar pitch, while in the other one graphite was replaced by a cheaper carbon precursor. The newly-developed filters are fired at 1000°C, i.e. at a much lower temperature than the currently applied ZrO2-based filters. During filtration trials the filters were subjected to the attack of a flowing metal stream having a temperature of 1650°C for 30 seconds. Characte
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43

Razi, Fachrul, Sri Mulyati, and Nasrul Arahman. "The performance of bovine serum albumin filtration by using polyethersulfone-Tetronic 304 blend Ultrafiltration Membrane." F1000Research 8 (June 24, 2019): 953. http://dx.doi.org/10.12688/f1000research.18740.1.

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Background: Membrane technology has been widely applied for protein purification. In applications for protein separation, a membrane with stable filtration performance is necessary. In this work, two types of hollow fiber membranes with different characteristic were used to study the filtration profile of bovine serum albumin. Methods: A single piece of hollow fiber module was used for ultrafiltration testing using UF0 and UFT304 membranes. Flux and rejection of BSA solution were collected based on a pressure-driven inside filtration model. Results: Ultrafiltration experiments showed that the
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44

Razi, Fachrul, Sri Mulyati, and Nasrul Arahman. "The performance of bovine serum albumin filtration by using polyethersulfone-Tetronic 304 blend Ultrafiltration Membrane." F1000Research 8 (November 7, 2019): 953. http://dx.doi.org/10.12688/f1000research.18740.2.

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Background: Membrane technology has been widely applied for protein purification. In applications for protein separation, a membrane with stable filtration performance is necessary. In this work, two types of hollow fiber membranes with different characteristic were used to study the filtration profile of bovine serum albumin. Methods: A single piece of hollow fiber module was used for ultrafiltration testing using UF0 and UFT304 membranes. Flux and rejection of BSA solution were collected based on a pressure-driven inside filtration model. Results: Ultrafiltration experiments showed that the
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45

Huang, Wan-Chen, Shyh-Chyi Lo, Dong-Tsamn Lin, Jyh-Horng Wang, and Tai-Horng Young. "Application of 4T-PET fibers/nonwovens for leucocyte filters." Journal of Industrial Textiles 49, no. 5 (2018): 633–47. http://dx.doi.org/10.1177/1528083718792916.

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Polyethylene terephthalate (PET) fiber with four T-lobe cross section (4T-fiber) has been applied to textile products due to the structural characteristic of micro-grooved channels to provide the high wicking, warming, and elastic properties. In this study, nonwoven (NW) filters composed of one layer of 4T-PET NW (containing 65% 4T-fibers) with one, three, or five layers of polypropylene (PP) NW (4T-PET NW + PP NW × 1, 3, or 5) were proposed for blood filtration to remove leucocytes to reduce blood transfusion-related adverse reactions. The removal rate of leucocytes could be enhanced when the
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Yiqiang, Li, Gao Junxin, Yin Dandan, Li Junjian, and Liu Hualong. "Study on the Matching Relationship between Polymer Hydrodynamic Characteristic Size and Pore Throat Radius of Target Block S Based on the Microporous Membrane Filtration Method." Journal of Chemistry 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/569126.

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The concept of the hydrodynamic characteristic size of polymer was proposed in this study, to characterize the size of aggregates of many polymer molecules in the polymer percolation process. The hydrodynamic characteristic sizes of polymers used in the target block S were examined by employing microporous membrane filtration method, and the factors were studied. Natural core flow experiments were conducted in order to set up the flow matching relationship plate. According to the flow matching plate, the relationship between the hydrodynamic characteristic size of polymer and pore throat radiu
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Sologaev, V. I. "Solution of filtration problems of construction geotechnology in thin water layers." Construction and Geotechnics 14, no. 2 (2023): 63–74. http://dx.doi.org/10.15593/2224-9826/2023.2.05.

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Filtration problems of construction geotechnics during water movement in thin permeable layers of soils and artificial materials are considered. Under such conditions, traditional approaches borrowed from classical hydrogeology give errors. This is due to the fact that under normal conditions of underground aquifers of a sufficiently large depth, in hydrogeological practice, the hydraulic theory of filtration is used, in which the velocities of filtration currents are averaged along the vertical coordinate. The original nonlinear differential equations of filtration flows are subjected to forc
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Medeiros, Alexandre D’Lamare Maia de, Cláudio José Galdino da Silva Junior, Italo José Batista Durval, et al. "Treatment of Oily Effluents Using a Bacterial Cellulose Membrane as the Filter Bed." Processes 12, no. 8 (2024): 1542. http://dx.doi.org/10.3390/pr12081542.

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One of the main challenges in the treatment of industrial wastewater is the removal of oil-in-water emulsions, which are stable and therefore difficult to treat. Bacterial cellulose (BC) has structural characteristics that make it an ideal filtration membrane. Several research projects are underway to develop new materials, both biotechnological and traditional, for use in filter beds. The study examined the potential of a BC membrane filtration system for treating oily industrial wastewaters, an underexplored biomaterial in wastewater treatment. The results demonstrated that BC is highly effe
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Omelchenko, Оleksandr, Gregoriy Deynichenko, Vasyl Guzenko, et al. "Determining the influence of membrane treatment process on the quality indicators of beer." Eastern-European Journal of Enterprise Technologies 4, no. 11(112) (2021): 66–72. http://dx.doi.org/10.15587/1729-4061.2021.238216.

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The issue related to the possibility of applying the filtration process of young beer with the use of experimental microfiltration polymer semi-permeable membrane elements was considered. It was shown that under modern conditions, it is expedient to use membrane processes of young beer filtration in the brewing industry. The process of membrane treatment of beer can be carried out at the stage of pasteurization of young beer in a cold way. Such actions can be directed to preserve the organoleptic parameters of the final product ‒ filtered beer. An experimental setup for the study of the main t
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Pan, Lei, and Bin Shu. "Jantzen filtration and strong linkage principle for modular Lie superalgebras." Forum Mathematicum 30, no. 6 (2018): 1573–98. http://dx.doi.org/10.1515/forum-2018-0065.

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Abstract In this paper, we introduce super Weyl groups, their distinguished elements and properties for basic classical Lie superalgebras. Then we formulate Jantzen filtration for baby Verma modules in graded restricted module categories of basic classical Lie superalgebras over an algebraically closed field of odd characteristic, and obtain a sum formula in the corresponding Grothendieck groups. Consequently, we formulate a strong linkage principle for such categories.
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