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1

Parks, Allen D., and David J. Marchette. "Persistent homology in graph power filtrations." Royal Society Open Science 3, no. 10 (2016): 160228. http://dx.doi.org/10.1098/rsos.160228.

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The persistence of homological features in simplicial complex representations of big datasets in R n resulting from Vietoris–Rips or Čech filtrations is commonly used to probe the topological structure of such datasets. In this paper, the notion of homological persistence in simplicial complexes obtained from power filtrations of graphs is introduced. Specifically, the r th complex, r ≥ 1, in such a power filtration is the clique complex of the r th power G r of a simple graph G . Because the graph distance in G is the relevant proximity parameter, unlike a Euclidean filtration of a dataset wh
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2

Leiviskä, T., and J. Rämö. "Investigation of multimodal zeta potential and size distribution in chemical pulp process water." Water Science and Technology 56, no. 11 (2007): 123–29. http://dx.doi.org/10.2166/wst.2007.770.

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Multimodal zeta potential distribution in chemical birch pulp process water was studied by filtrating the water into fractions and subsequently measuring zeta potential, charge quantity, turbidity and organic substances. Filtrations were made using 12 μm, 1.6 μm, 1.2 μm, 0.45 μm and 0.1 μm membranes. The number of populations with different zeta potentials diminished with filtration. With the unfiltrated water, 12 μm and 1.6 μm filtrates, three or four different zeta potentials were observed. When the filtration was performed with a 1.2 μm membrane or smaller, only two populations of different
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3

Han, Chao, Hongping Xie, Bin Bai, Dongrui Liu, Yue Huang, and Rongjun Zhang. "Study on the Factors Affecting the Performance of a Pressure Filtration–Flocculation–Solidification Combined Method for Mud Slurry Treatment." Applied Sciences 13, no. 20 (2023): 11299. http://dx.doi.org/10.3390/app132011299.

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A pressure filtration–flocculation–solidification combined treatment possesses great potential for the reutilization of the waste mud slurry generated from diverse construction projects as filling material due to its versatility and high efficiency. However, very limited existing studies have focused on the factors affecting pressure filtration’s efficiency. In this paper, a calculation model for compression filtration is established based on laboratory pressure filtration model tests and one-dimensional large-strain consolidation theory. The influence of various parameters on pressure filtrat
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4

Forster, R. B. "Filtration and Filtration Plant." Journal of the Society of Dyers and Colourists 42, no. 11 (2008): 333–43. http://dx.doi.org/10.1111/j.1478-4408.1926.tb01348.x.

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5

Yan, Guang Xu, Qian Zhang, Hui Li, and Yu Li. "Spinning Effluents Treatment from Dry-Spun Acrylic Fiber Producing by Integrated Membrane Filtration." Advanced Materials Research 476-478 (February 2012): 789–92. http://dx.doi.org/10.4028/www.scientific.net/amr.476-478.789.

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Spinning effluents (SE) from dry-spun acrylic fiber producing are hard to biodegrade for dimethyl formamide (DMF) and nitriles contained. Integrated membrane filtrations including micro-filtration (MF), ultra-filtration (UF) and nano-filtration (NF) were adopted to separate the pollutants in SE. Experiment showed that MF has weak capacity for the removal of organic pollutants, while NF and UF contributed to 49.49% and 31.51% to the initial COD removal rates of SE.
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6

Arifjanov, Aybek. "Determination of Filtration Strength and Initial Filtration Gradient in Soil Constructions." Journal of Advanced Research in Dynamical and Control Systems 12, SP4 (2020): 1860–64. http://dx.doi.org/10.5373/jardcs/v12sp4/20201672.

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7

JENSEN, BERNT TORE, DAG OSKAR MADSEN, and XIUPING SU. "FILTRATIONS IN ABELIAN CATEGORIES WITH A TILTING OBJECT OF HOMOLOGICAL DIMENSION TWO." Journal of Algebra and Its Applications 12, no. 02 (2012): 1250149. http://dx.doi.org/10.1142/s0219498812501496.

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We consider filtrations of objects in an abelian category [Formula: see text] induced by a tilting object T of homological dimension at most two. We define three extension closed subcategories [Formula: see text] and [Formula: see text] with [Formula: see text] for j > i, such that each object in [Formula: see text] has a unique filtration with factors in these categories. In dimension one, this filtration coincides with the classical two-step filtration induced by the torsion pair. We also give a refined filtration, using the derived equivalence between the derived categories of [Formula:
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8

Asthana, Nidhi, and Anshuman Srivastava. "Biodegradable Polymers in The Development of Infiltration Devices." Prabha Materials Science Letters 4, no. 1 (2024): 44–56. https://doi.org/10.33889/pmsl.2025.4.1.004.

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To provide safe and clean water for a variety of purposes, water filtration is essential. Traditional filtration materials, while effective, often pose environmental concerns due to their non-biodegradable nature. In recent years, biodegradable polymers have emerged as a promising alternative in the field of water purification. This manuscript provides a comprehensive overview of biodegradable polymers used in water filtration, emphasizing recent advancements and applications. We explore the types of biodegradable polymers, their mechanisms in filtration, and highlight the latest developments
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9

Kübel, Johannes. "From Jantzen to Andersen filtration via tilting equivalence." MATHEMATICA SCANDINAVICA 110, no. 2 (2012): 161. http://dx.doi.org/10.7146/math.scand.a-15202.

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The space of homomorphisms between a projective object and a Verma module in category $\mathcal O$ inherits an induced filtration from the Jantzen filtration on the Verma module. On the other hand there is the Andersen filtration on the space of homomorphisms between a Verma module and a tilting module. Arkhipov's tilting functor, a contravariant self-equivalence of a certain subcategory of $\mathcal O$, which maps projective to tilting modules induces an isomorphism of these kinds of Hom-spaces. We show that this equivalence identifies both filtrations.
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10

Fedel, Tony. "Air filtration: Evaluating filtration efficiency." Filtration + Separation 49, no. 6 (2012): 37–39. http://dx.doi.org/10.1016/s0015-1882(12)70289-6.

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11

Manish Chitnis, Aayush. "Nanotechnology for Water Filtration." International Journal of Science and Research (IJSR) 13, no. 5 (2024): 1094–100. http://dx.doi.org/10.21275/sr24516215746.

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12

Sutherland, Ken. "Water filtration: Bulk water filtration techniques." Filtration & Separation 45, no. 10 (2008): 17–19. http://dx.doi.org/10.1016/s0015-1882(08)70496-8.

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13

Holmes, Mark. "Filtration 2011: Filtration returns to Chicago." Filtration + Separation 48, no. 6 (2011): 14–16. http://dx.doi.org/10.1016/s0015-1882(11)70254-3.

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14

Sutherland, Ken. "Fine chemical filtration: Defining filtration processes." Filtration & Separation 44, no. 3 (2007): 38–39. http://dx.doi.org/10.1016/s0015-1882(07)70084-8.

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15

Dong, Xiu Ping, Ya Ting Huang, and Ming Ji Huang. "Mechanism Analysis and Dairy Filtration Experimental Research on Porous 1Cr18Ni9 Stainless Steel Components." Advanced Materials Research 668 (March 2013): 902–6. http://dx.doi.org/10.4028/www.scientific.net/amr.668.902.

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Cool-drawn 1Cr18Ni9 stainless steel wires of 0.1~0.5 mm can be woven and punched to prepare porous metal filters. There is certain amount of connected micron pores in the transformable components. Filtration mechanism of this porous material is investigated and three series of samples with different diameter of wires, porosities and filtrating ranges are prepared. Filtration performances compares experiments are carried out on a kind of chocolate milk with the brand of Sanyuan. Three-dimensional microscopy, KEYENCE VHX-600, is applied to investigate the diaphragms before and after filtrating.
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16

Greil, Peter, Ulrich Gruber, Nahum Travitsky, and Michael Kulig. "Pressure filtration of silicon nitride suspensions with constant filtrationn rate." Materials Science and Engineering: A 151, no. 2 (1992): 247–54. http://dx.doi.org/10.1016/0921-5093(92)90213-k.

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17

Liu, Yunxia, Honghai Liu, and Zhongrong Shen. "Nanocellulose Based Filtration Membrane in Industrial Waste Water Treatment: A Review." Materials 14, no. 18 (2021): 5398. http://dx.doi.org/10.3390/ma14185398.

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In the field of industrial wastewater treatment, membrane separation technology, as an emerging separation technology, compared with traditional separation technology such as precipitation, adsorption, and ion exchange, has advantages in separation efficiency, low energy consumption, low cost, simple operation, and no secondary pollution. The application has been expanding in recent years, but membrane fouling and other problems have seriously restricted the development of membrane technology. Natural cellulose is one of the most abundant resources in nature. In addition, nanocellulose has cha
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18

Sutherland, Ken. "Membrane filtration: What's new in membrane filtration?" Filtration & Separation 46, no. 5 (2009): 32–35. http://dx.doi.org/10.1016/s0015-1882(09)70193-4.

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19

Bennett, Anthony. "Air filtration: Innovations in industrial air filtration." Filtration & Separation 47, no. 4 (2010): 20–23. http://dx.doi.org/10.1016/s0015-1882(10)70162-2.

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20

Padia, Jignesh, and Paul Huntington. "Gas filtration: sterile micro-filtration for bioreactors." Filtration & Separation 43, no. 4 (2006): 28–31. http://dx.doi.org/10.1016/s0015-1882(06)70866-7.

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21

Rognoni, M., and F. Volpe. "Flow inverted filtration (FIF) innovative filtration technology." Desalination 182, no. 1-3 (2005): 309–13. http://dx.doi.org/10.1016/j.desal.2005.04.018.

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22

Rais, N. N. M., N. M. Noor, A. Hashim, et al. "ESTABLISHMENT OF RQT BEAM QUALITY (100 TO 150 kV) FOR COMPUTED TOMOGRAPHY APPLICATIONS." Asian Journal Of Medical Technology 2, no. 2 (2022): 1–14. http://dx.doi.org/10.32896/ajmedtech.v2n2.1-14.

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In Malaysia, the radiation beam qualities for calibration of dosimeters in computed tomography (RQT series) were established at the Secondary Standard Dosimetry Laboratory (SSDL) of the Malaysian Nuclear Agency by using a constant potential industrial X-ray machine and a 0.6 cc PTW UNIDOS ionization chamber calibrated at the International Atomic Energy Agency (IAEA). Through the experimental method of additional filtration determination, the results demonstrated that all measured first half-value layer (HVL) filtrations (mm Al) for each RQT 8 (100 kV), RQT 9 (120 kV) and RQT 10 (150 kV) comply
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23

Akaffou, N. C., D. Kamano, E. D. Akeke, and A. Abdoulaye. "ASYMPTOTIC STABILITY OF FOR STRONGLY NOETHERIAN FILTRATION." JP Journal of Algebra, Number Theory and Applications 64, no. 3 (2025): 239–50. https://doi.org/10.17654/0972555525014.

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Let be a Noetherian ring, and be a strongly Noetherian filtration on the ring . Then we generalize the Artin-Rees Lemma to strongly Noetherian filtrations. This allows us to show that if the ideal contains an -superficial element of order one which is regular, then the sequence
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24

Atamanyuk, Volodymyr, Zoriana Gnativ, Diana Kindzera, Dauren Janabayev, Alisher Khusanov, and Botagoz Kaldybaeva. "Hydrodynamics of Cotton Filtration Drying." Chemistry & Chemical Technology 14, no. 3 (2020): 426–32. http://dx.doi.org/10.23939/chcht14.03.426.

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25

Crabb, M. C., and S. A. Mitchell. "The loops onU(n)/O(n) andU(2n)/Sp(n)." Mathematical Proceedings of the Cambridge Philosophical Society 104, no. 1 (1988): 95–103. http://dx.doi.org/10.1017/s0305004100065269.

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In [6] and [9] the second author and Bill Richter showed that the natural ‘degree’ filtration on the homology of ΩSU(n) has a geometric realization, and that this filtration stably splits (as conjectured by M. Hopkins and M. Mahowald). The purpose of the present paper is to prove the real and quaternionic analogues of these results. To explain what this means, consider the following two ways of viewing the filtration and splitting for ΩSU(n). Whenn= ∞, ΩSU=BU. The filtration isBU(1)⊆BU(2)⊆… and the splittingBU≅ V1≤<∞is a theorem of Snaith[14]. The result for ΩSU(n) may then be viewed as a ‘
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26

Calzolari, Antonella, and Barbara Torti. "A Note on the Strong Predictable Representation Property and Enlargement of Filtration." Mathematics 10, no. 10 (2022): 1783. http://dx.doi.org/10.3390/math10101783.

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The strong predictable representation property of semi-martingales and the notion of enlargement of filtration meet naturally in modeling financial markets, and theoretical problems arise. Here, first, we illustrate some of them through classical examples. Then, we review recent results obtained by studying predictable martingale representations for filtrations enlarged by means of a full process, possibly with accessible components in its jump times. The emphasis is on the non-uniqueness of the martingale enjoying the strong predictable representation property with respect to the same enlarge
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27

ALIEVA, Maral Gasan kyzy, and Niyaz Gadym ogly VALIEV. "Simple stationary filtering flows of incompressible non-newtonian oil in a homogeneous formation according to a general nonlinear law." NEWS of the Ural State Mining University 1 (March 15, 2021): 39–45. http://dx.doi.org/10.21440/2307-2091-2021-1-39-45.

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Three stationary hydrodynamic theoretical problems are solved, in which filtrations obey only the General nonlinear law. Simple flows occur in tasks: plane-parallel, plane-radial, and hemispherical-radial. All derived formulas – oil flow rate, filtration rate, pressure gradient, etc. – should be used to solve various practical problems of the development of these deposits and even when drawing up a project for the development of such deposits. It should be noted that a plane-parallel simple filtration flow of oil originates from a strip-like reservoir to a straight gallery. In addition, such a
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28

Fournier, Corentin, Alexander Fiedler, Maximilian Weidele, Harald Kautz, and David Schleheck. "Description of a ‘plankton filtration bias’ in sequencing-based bacterial community analysis and of an Arduino microcontroller-based flowmeter device that can help to resolve it." PLOS ONE 19, no. 5 (2024): e0303937. http://dx.doi.org/10.1371/journal.pone.0303937.

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Diversity studies of aquatic picoplankton (bacterioplankton) communities using size-class filtration, DNA extraction, PCR and sequencing of phylogenetic markers, require a robust methodological pipeline, since biases have been demonstrated essentially at all levels, including DNA extraction, primer choice and PCR. Even different filtration volumes of the same plankton sample and, thus, different biomass loading of the filters, can distort the sequencing results. In this study, we designed an Arduino microcontroller-based flowmeter that records the decrease of initial (maximal) flowrate as prox
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GASBARRA, DARIO, JOSÉ IGOR MORLANES, and ESKO VALKEILA. "INITIAL ENLARGEMENT IN A MARKOV CHAIN MARKET MODEL." Stochastics and Dynamics 11, no. 02n03 (2011): 389–413. http://dx.doi.org/10.1142/s021949371100336x.

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Enlargement of filtrations is a classical topic in the general theory of stochastic processes. This theory has been applied to stochastic finance in order to analyze models with insider information. In this paper we study initial enlargement in a Markov chain market model, introduced by Norberg. In the enlarged filtration, several things can happen: some of the jumps times can be accessible or predictable, but in the original filtration all the jumps times are totally inaccessible. But even if the jumps times change to accessible or predictable, the insider does not necessarily have arbitrage
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Grbić, Jelena, Stephen Theriault, and Hao Zhao. "Properties of Selick's filtration of the double suspension E2." Journal of Topology and Analysis 06, no. 03 (2014): 421–40. http://dx.doi.org/10.1142/s1793525314500150.

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To help study the double suspension [Formula: see text] when localised at a prime p, Selick filtered Ω2S2n+1 by H-spaces which geometrically realise a natural Hopf algebra filtration of H*(Ω2S2n+1;ℤ/p). Later, Gray showed that the fiber Wn of E2 has an integral classifying space BWn and there is a homotopy fibration [Formula: see text]. In this paper we correspondingly filter BWn in a manner compatible with Selick's filtration and the homotopy fibration [Formula: see text], study the multiplicative properties and homotopy exponents of the spaces in the filtrations, and use the filtrations to f
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31

Pinto, Marinaldo F., Dinara G. Alves, Ezequiel Saretta, Antonio P. de Camargo, and Tarlei A. Botrel. "Development of a filtration system with high-frequency flow reversal." Revista Brasileira de Engenharia Agrícola e Ambiental 20, no. 4 (2016): 295–301. http://dx.doi.org/10.1590/1807-1929/agriambi.v20n4p295-301.

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ABSTRACT The aim of this study was to develop a filtration system with high-frequency flow reversal and minimum requirement of water for cleaning routines. The system was developed in the period from 2011 to 2013 and consists of three screen filters and eleven solenoid valves electronically controlled by a controller that operates based on head loss measurements. The following evaluations were carried out: head loss curve as a function of flow rate; filtrating efficiency as a function of solids concentration, frequency of flow reversal and increment in head loss. The experimental design was co
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32

GRAHAM, NEIL. "CENTRIFUGAL FILTRATION." Industrial Lubrication and Tribology 38, no. 5 (1986): 174–80. http://dx.doi.org/10.1108/eb053336.

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33

Tan, HK, and G. Hart. "Plasma Filtration." Annals of the Academy of Medicine, Singapore 34, no. 10 (2005): 615–24. http://dx.doi.org/10.47102/annals-acadmedsg.v34n10p615.

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Therapeutic plasma exchange (TPE) or plasmapheresis involves the separation of plasma from whole blood. In so doing, plasma-borne humoral disease mediators are removed from the body. This can attenuate the course and severity of the underlying disease. Diseases that can be treated with TPE are classified into the following categories: (1) endocrinological, (2) neurological, (3) renal/rheumatological, and (4) haematological. TPE is adjuvant in most of these settings. Disease-specific pharmacological treatment remains the cornerstone of treatment in many of these conditions. Plasma separation ca
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34

Jacobsen, Erica K. "Water Filtration." Journal of Chemical Education 81, no. 2 (2004): 224A. http://dx.doi.org/10.1021/ed081p224a.

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35

Mikelborough, P. "Blood filtration." Anaesthesia 40, no. 2 (2007): 204. http://dx.doi.org/10.1111/j.1365-2044.1985.tb10726.x.

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36

Duarte, Frederick F., Layton L. McCoy, and Frank D. Popp. "Microscale filtration." Journal of Chemical Education 69, no. 12 (1992): A314. http://dx.doi.org/10.1021/ed069pa314.1.

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37

Karger, Ralf, and Volker Kretschmer. "Inline-filtration." Transfusion and Apheresis Science 27, no. 2 (2002): 137–52. http://dx.doi.org/10.1016/s1473-0502(02)00036-8.

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38

Kozubov, A. V., A. A. Gaidash, A. D. Kiselev, and G. P. Miroshnichenko. "Filtration mapping as complete Bell state analyzer for bosonic particles." Scientific Reports 11, no. 1 (2021). http://dx.doi.org/10.1038/s41598-021-93679-7.

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AbstractIn this paper, we present the approach to complete Bell state analysis based on filtering mapping. The key distinctive feature of this appoach is that it avoids complications related to using either hyperentanglement or representation of the Bell states as concatenated Greenber–Horne–Zeilinger (C-GHZ) state to perform discrimination procedure. We describe two techniques developed within the suggested approach and based on two-step algorithms with two different types of filtration mapping which can be called the non-demolition and semi-demolition filtrations. In the method involving non
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Bouaka, Aicha. "Sandwiched filtrations." Random Operators and Stochastic Equations, April 28, 2024. http://dx.doi.org/10.1515/rose-2024-2008.

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40

CUTKOSKY, STEVEN DALE. "ANALYTIC SPREAD OF FILTRATIONS ON TWO-DIMENSIONAL NORMAL LOCAL RINGS." Nagoya Mathematical Journal, November 23, 2022, 1–30. http://dx.doi.org/10.1017/nmj.2022.35.

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Abstract In this paper, we prove that a classical theorem by McAdam about the analytic spread of an ideal in a Noetherian local ring continues to be true for divisorial filtrations on a two-dimensional normal excellent local ring R, and that the Hilbert polynomial of the fiber cone of a divisorial filtration on R has a Hilbert function which is the sum of a linear polynomial and a bounded function. We prove these theorems by first studying asymptotic properties of divisors on a resolution of singularities of the spectrum of R. The filtration of the symbolic powers of an ideal is an example of
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"Cattin Filtration acquires Dantherm Filtration's French activities." Filtration Industry Analyst 2010, no. 10 (2010): 16. http://dx.doi.org/10.1016/s1365-6937(10)70317-8.

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42

Li, Zhiyuan, and Ruxuan Zhang. "Beauville–Voisin Filtrations on Zero-Cycles of Moduli Space of Stable Sheaves on K3 Surfaces." International Mathematics Research Notices, June 13, 2022. http://dx.doi.org/10.1093/imrn/rnac161.

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Abstract The Beauville–Voisin conjecture predicts the existence of a filtration on a projective hyper-Kähler manifold opposite to the conjectural Bloch–Beilinson filtration, called the Beauville–Voisin filtration. In [13], Voisin has introduced a filtration on zero-cycles of an arbitrary projective hyper-Kähler manifold. On the moduli space of stable objects on a projective K3 surface, there are other candidates constructed by Shen–Yin–Zhao and Barros–Flapan–Marian–Silversmith in [1, 10] and more recently by Vial in [11] from a different point of view. According to the work in [11], all of the
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43

Chiarellotto, B., and N. Tsuzuki. "Log-growth filtration and Frobenius slope filtration of $F$-isocrystals at the generic and special points." January 9, 2023. https://doi.org/10.4171/dm/326.

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We study, locally on a curve of characteristic p >0 , the relation between the log-growth filtration and the Frobenius slope filtration for F -isocrystals, which we will indicate as \varphi-\nabla -modules, both at the generic point and at the special point. We prove that a bounded \varphi-\nabla -module at the generic point is a direct sum of pure \varphi-\nabla -modules. By this splitting of Frobenius slope filtration for bounded modules we will introduce a filtration for \varphi-\nabla -modules (PBQ filtration). We solve our conjectures of comparison of the log-growth filtration and the
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44

Mostinsky, I. L. "FILTRATION." A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering f (2006). http://dx.doi.org/10.1615/atoz.f.filtr.

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45

"Filtration." Nature Biotechnology 13, no. 6 (1995): 609. http://dx.doi.org/10.1038/nbt0695-609.

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"Filtration." Nature Biotechnology 11, no. 7 (1993): 846–47. http://dx.doi.org/10.1038/nbt0793-846.

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47

"Filtration." Nature Biotechnology 16, no. 3 (1998): 304. http://dx.doi.org/10.1038/nbt0398-304.

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48

Chase, George G., and Ernest Mayer. "Filtration." ChemInform 38, no. 42 (2007). http://dx.doi.org/10.1002/chin.200742278.

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49

"Filtration." Journal - American Water Works Association 77, no. 12 (1985): 31. http://dx.doi.org/10.1002/j.1551-8833.1985.tb05653.x.

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"Filtration." Journal - American Water Works Association 78, no. 12 (1986): 25. http://dx.doi.org/10.1002/j.1551-8833.1986.tb02761.x.

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