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Sampling formulas for 2D quaternionic signals associated with various quaternion Fourier and linear canonical Research Articles

Xiaoxiao HU, Dong CHENG, Kit Ian KOU,huxiaoxiao3650@163.com

Frontiers of Information Technology & Electronic Engineering 2022, Volume 23, Issue 3,   Pages 463-478 doi: 10.1631/FITEE.2000499

Abstract: different types of sampling formulas of quaternionic functions, which are bandlimited under various quaternionSecond, using the relationship between the two-sided quaternion Fourier transform and the linear canonical

Keywords： Quaternion Fourier transforms     Quaternion linear canonical transforms     Sampling theorem     Quaternion partialand total Hilbert transforms     Generalized quaternion partial and total Hilbert transforms     Truncation    

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Methanation and chemolitrophic nitrogen removal by an anaerobic membrane bioreactor coupled partial nitrification

Frontiers of Environmental Science & Engineering 2023, Volume 17, Issue 6, doi: 10.1007/s11783-023-1668-2

Abstract:

● Efficient carbon methanation and nitrogen removal was achieved in AnMBR-PN/A system.

Keywords： Anaerobic membrane bioreactor     Partial nitrification/Anammox     Carbon separation     Chemolitrophic nitrogen    

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“Partial pressures” of humid air in wide pressure and temperature ranges

Zidong WANG, Hanping CHEN, Shilie WENG

Frontiers in Energy 2013, Volume 7, Issue 4,   Pages 511-517 doi: 10.1007/s11708-013-0281-7

Abstract: “Partial pressure” in humid air is a question very much concerned by scientists and no satisfactory answerThis paper proposes a novel method to obtain the “partial pressures” of the water vapor and dry air inThe results obtained by the proposed method are quite different from that obtained by Dalton’s partialOne discovery is that the “partial pressure” of the water vapor in saturated humid air equals , ratherThis paper satisfactorily answers the quest of “partial pressures” in humid air from a new perspective

Keywords： partial pressure     Dalton’s partial pressure law     humid air     saturated     unsaturated    

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Upper bound solution to seismic active earth pressure of submerged backfill subjected to partial drainage

Frontiers of Structural and Civil Engineering 2021, Volume 15, Issue 6,   Pages 1480-1493 doi: 10.1007/s11709-021-0776-y

Abstract: method to evaluate the seismic active earth pressure on a retaining wall with backfill subjected to partial

Keywords： seismic active earth pressure     partial seepage flow     pore pressure     anisotropy     upper bound theorem    

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Methane partial oxidation over NiO-MgO/Ce

Piyawat PUE-ON, Vissanu MEEYOO, Thirasak RIRKSOMBOOON

Frontiers of Chemical Science and Engineering 2013, Volume 7, Issue 3,   Pages 289-296 doi: 10.1007/s11705-013-1345-2

Abstract: Methane partial oxidation (MPO) is considered as an alternative method to produce hydrogen because it

Keywords： methane partial oxidation     NiO     ceria-zirconia     MgO     mixed oxide solid solution    

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Enhanced nutrients removal from municipal wastewater through biological phosphorus removal followed by partial

Yandong Yang,Liang Zhang,Hedong Shao,Shujun Zhang,Pengchao Gu,Yongzhen Peng

Frontiers of Environmental Science & Engineering 2017, Volume 11, Issue 2, doi: 10.1007/s11783-017-0911-0

Abstract: this study, a new alternative consisting of enhanced biological phosphorus removal (EBPR) followed by partial

Keywords： Phosphorus removal     Partial nitrification     Anammox     Municipal wastewater    

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Partial liver transplantation

Nianqiao GONG, Xiaoping CHEN

Frontiers of Medicine 2011, Volume 5, Issue 1,   Pages 1-7 doi: 10.1007/s11684-010-0105-7

Abstract:

Partial liver transplantation, including reduced-size liver transplantation, split liver transplantationAt different recipient conditions, auxiliary liver transplantation and auxiliary partial orthotopic liverPartial liver transplantation enriches the practice and knowledge of the transplant society.

Keywords： partial liver transplantation     reduced-size liver transplantation     split liver transplantation     living donor    

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Optimal Su-Do-Ku based interconnection scheme for increased power output from PV array under partial

P. SRINIVASA RAO,P. DINESH,G. SARAVANA ILANGO,C. NAGAMANI

Frontiers in Energy 2015, Volume 9, Issue 2,   Pages 199-210 doi: 10.1007/s11708-015-0350-1

Abstract: Partial shading is a common phenomenon in PV arrays.

Keywords： array configuration     mismatch losses     partial shading     line losses     Su-Do-Ku arrangement    

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Mittag-Leffler stability analysis ofmultiple equilibrium points in impulsive fractional-order quaternion-valued Research Articles

K. UDHAYAKUMAR, R. RAKKIYAPPAN, Jin-de CAO, Xue-gang TAN

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 2,   Pages 234-246 doi: 10.1631/FITEE.1900409

Abstract: study, we investigate the problem of multiple Mittag-Leffler stability analysis for fractional-order quaternion-valued

Keywords： Mittag-Leffler stability     Fractional-order     Quaternion-valued neural networks     Impulse    

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Reduction kinetics of SrFeO/CaO∙MnO nanocomposite as effective oxygen carrier for chemical looping partial

Frontiers of Chemical Science and Engineering 2022, Volume 16, Issue 12,   Pages 1726-1734 doi: 10.1007/s11705-022-2188-5

Abstract: During the methane reduction, combustion occurs before the partial oxidation and there exists a transitionThe weight loss associated with the partial oxidation is much larger than that with combustion.The rate of weight loss related to the partial oxidation is well fitted by the Avrami–Erofeyev equationThe rate law for the partial oxidation includes a solid conversion term whose expression is given byThe partial oxidation is half order with respect to methane pressure.

Keywords： chemical looping reforming     SrFeO3−δ/CaO·MnO nanocomposite     reduction kinetics     Avrami–Erofeyev model     pressure-dependent term    

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Tests on impact effect of partial fracture at steel frame connections

CHEN Yiyi, BIAN Ruoning

Frontiers of Structural and Civil Engineering 2008, Volume 2, Issue 4,   Pages 295-301 doi: 10.1007/s11709-008-0049-z

Abstract: also revealed that the instant fracture of structural connection is characterized by progressive and partial

Keywords： structural fracture     natural     fracture     progressive     high-frequency    

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Prospective research on the efficacy and safety of oxcarbazepine as monotherapy and add-on therapy for partial

Huicong KANG, Xiaoyan LIU, Hu QI, Feng XU, Xiang LI, Yuan WANG, Zhiguang LIU, Suiqiang ZHU

Frontiers of Medicine 2009, Volume 3, Issue 2,   Pages 181-186 doi: 10.1007/s11684-009-0025-6

Abstract: evaluate the efficacy, tolerance, and safety of oxcarbazepine (OXC) as monotherapy and add-on therapy for partialSixty-seven patients with partial epilepsy received OXC therapy.It is concluded that OXC is the first-line anti-epileptic drug (AED) for partial seizures, and could

Keywords： oxcarbazepine     partial epilepsy    

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Unveiling the interaction mechanisms of key functional microorganisms in the partial denitrification-anammox

Frontiers of Environmental Science & Engineering 2023, Volume 17, Issue 8, doi: 10.1007/s11783-023-1703-3

Abstract:

● The availability of PD-anammox was investigated with higher NO3––N concentration.

Keywords： PD-anammox process     Nitrite accumulation     COD     Microbial interaction    

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Crystal-to-crystal transformation from the triclinic to the cubic crystal system by partial desolvation

Qianqian Guo, Irmgard Kalf, Ulli Englert

Frontiers of Chemical Science and Engineering 2018, Volume 12, Issue 3,   Pages 433-439 doi: 10.1007/s11705-018-1743-6

Abstract:

Diffusion reaction of the labile building block Mg(acacCN)2 (acacCN= 3-cyanoacetylacetonate) with silver salts leads to a series of solvated Mg/Ag bimetallic coordination polymers with composition [Mg(acacCN)3Ag]·solvent. Despite their common stoichiometry, the topology of these polymers depends on the solvent of crystallization. The two-dimensional coordination compound [Mg(acacCN)3Ag]·4CHCl3 in space group P1‾ is obtained as platelet-shaped crystals from a mixture of methanol and chloroform. When kept in the reaction mixture, these thin plates within one week convert to isometric tetrahedral crystals of the 3D network [Mg(acacCN)3Ag]·2CHCl3 in the cubic space group P213. The transformation reaction proceeds via dissolution and recrystallization. The co-crystallized solvent molecules play an important role for stabilizing the target structure: They subtend Cl···Cl contacts and interact via non-classical C–H···O hydrogen bonds with the coordination framework. In the new cubic coordination network, both Mg(II) and Ag(I) adopt octahedral coordination, with unprecedented face-sharing by bridging O atoms of three acetylacetonato moieties. Prolonged standing of [Mg(acacCN)3Ag]·2CHCl3 in the reaction medium leads to further degradation, under formation of [Ag(acacCN)].

Keywords： ditopic ligand     substituted acetylacetone     desolvation     diffraction    

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Properties of a general quaternion-valued gradient operator and its applications to signal processing

Meng-di Jiang, Yi Li, Wei Liu,w.liu@sheffield.ac.uk

Frontiers of Information Technology & Electronic Engineering 2016, Volume 17, Issue 2,   Pages 83-95 doi: 10.1631/FITEE.1500334

Abstract: The gradients of a -valued function are often required for ic algorithms. The HR provides a viable framework and has found a number of applications. However, the applications so far have been limited to mainly real-valued functions and linear -valued functions. To generalize the operator to nonlinear functions, we define a restricted version of the HR operator, which comes in two versions, the left and the right ones. We then present a detailed analysis of the properties of the operators, including several different product rules and chain rules. Using the new rules, we derive explicit expressions for the derivatives of a class of regular nonlinear -valued functions, and prove that the restricted HR gradients are consistent with the gradients in the real domain. As an application, the derivation of the least mean square algorithm and a nonlinear adaptive algorithm is provided. Simulation results based on vector sensor arrays are presented as an example to demonstrate the effectiveness of the -valued signal model and the derived algorithm.

Keywords： Quaternion     Gradient operator     Signal processing     Least mean square (LMS) algorithm     Nonlinear adaptive    

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Title Author Date Type Operation

Sampling formulas for 2D quaternionic signals associated with various quaternion Fourier and linear canonical

Xiaoxiao HU, Dong CHENG, Kit Ian KOU,huxiaoxiao3650@163.com

Journal Article

Methanation and chemolitrophic nitrogen removal by an anaerobic membrane bioreactor coupled partial nitrification

Journal Article

“Partial pressures” of humid air in wide pressure and temperature ranges

Zidong WANG, Hanping CHEN, Shilie WENG

Journal Article

Upper bound solution to seismic active earth pressure of submerged backfill subjected to partial drainage

Journal Article

Methane partial oxidation over NiO-MgO/Ce

Piyawat PUE-ON, Vissanu MEEYOO, Thirasak RIRKSOMBOOON

Journal Article

Enhanced nutrients removal from municipal wastewater through biological phosphorus removal followed by partial

Yandong Yang,Liang Zhang,Hedong Shao,Shujun Zhang,Pengchao Gu,Yongzhen Peng

Journal Article

Partial liver transplantation

Nianqiao GONG, Xiaoping CHEN

Journal Article

Optimal Su-Do-Ku based interconnection scheme for increased power output from PV array under partial

P. SRINIVASA RAO,P. DINESH,G. SARAVANA ILANGO,C. NAGAMANI

Journal Article

Mittag-Leffler stability analysis ofmultiple equilibrium points in impulsive fractional-order quaternion-valued

K. UDHAYAKUMAR, R. RAKKIYAPPAN, Jin-de CAO, Xue-gang TAN

Journal Article

Reduction kinetics of SrFeO/CaO∙MnO nanocomposite as effective oxygen carrier for chemical looping partial

Journal Article

Tests on impact effect of partial fracture at steel frame connections

CHEN Yiyi, BIAN Ruoning

Journal Article

Prospective research on the efficacy and safety of oxcarbazepine as monotherapy and add-on therapy for partial

Huicong KANG, Xiaoyan LIU, Hu QI, Feng XU, Xiang LI, Yuan WANG, Zhiguang LIU, Suiqiang ZHU

Journal Article

Unveiling the interaction mechanisms of key functional microorganisms in the partial denitrification-anammox

Journal Article

Crystal-to-crystal transformation from the triclinic to the cubic crystal system by partial desolvation

Qianqian Guo, Irmgard Kalf, Ulli Englert

Journal Article

Properties of a general quaternion-valued gradient operator and its applications to signal processing

Meng-di Jiang, Yi Li, Wei Liu,w.liu@sheffield.ac.uk

Journal Article