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Comparative evaluation of the impact of processing methods in determining the levels of health promoting chemical constituents and quality of green tea 认领 引用
1
作者 Sam Vargheseand Azariah Babu Biplab Adhikary +4 位作者 Bishwapran Kashyap Bappaditya Kanrar Romen C.Gogoi Sam Varghese Azariah Babu 《Beverage Plant Research》 2024年第1期120-127,共8页
The first step of green tea manufacture involves enzyme deactivation by heat application.The present study investigated the effects of various fixing and processing methods viz.steam-roasting(S-6),pan-firing(P-8),blan... The first step of green tea manufacture involves enzyme deactivation by heat application.The present study investigated the effects of various fixing and processing methods viz.steam-roasting(S-6),pan-firing(P-8),blanching(B-2),and CTC cuts after steam-roasting(S-CTC),on the biochemical profiles and organoleptic quality of green teas processed differently into orthodox and CTC types,from region-specific tea cultivars,suitable for green tea production under agroclimatic condition of Dooars,West Bengal,India.Differences in fixing method and processing style showed notable variation(p≤0.05)in the chemical quality indicators of green tea viz.Total catechin,polyphenol,flavonoid,and water extract content among the differently processed green teas.The most significant finding of the study revealed that when B-2 is employed for deactivation,it resulted in a substantial reduction(47%−52%)of caffeine levels without affecting the catechins content and antioxidant potential of green tea samples when compared to S-6 and P-8 methods.Interestingly,our results demonstrated significantly higher water extract values(42.19%dry weight)in green CTC teas and lower values in B-2 green tea samples(33.67%),as compared to S-8 and P-8 green teas,which received better taster ratings(≥7).These findings have highlighted the role of processing method and the impact of fixing technique in determining the contents of health-promoting attributes and taste quality of green teas,thus providing diverse choices to tea producers and consumers to opt for specific green tea products and expediting the need to further explore its commercial application in the nutraceutical and pharmaceutical industry(Supplemental Fig.S1). 展开更多
关键词 enzyme deactivation fixing techniques organoleptic quality green tea fixing processing methods processing methods biochemical profiles
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A Modified Fixed Point Method for the Perona Malik Equation 认领 引用
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作者 M.R.Amattouch H. Belhadj, N. Nabila 《Journal of Mathematics and System Science》 2017年第7期175-185,共11页
In this work we present a new method to solve the Perona Malik equation for the image denoising. The method is based on a modified fixed point algorithm which is fast and stable. We discretize the equation using a fin... In this work we present a new method to solve the Perona Malik equation for the image denoising. The method is based on a modified fixed point algorithm which is fast and stable. We discretize the equation using a finite volume method by integrating the equation using a fuzzy measure on the control volume. To make our algorithm move faster in time, we have used an optimized domain decomposition which generalize the wave relaxation method. Several test of noised images illustrate this approach and show the efficiency of the proposed new method. 展开更多
关键词 Perona Malik equation Fixed point method Fuzzy measure Choquet integral.
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Innovation and Application of“Fixed Point Locus Point Inspection Method” 认领 引用
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作者 GUO Yanbin 《外文科技期刊数据库（文摘版）工程技术》 2021年第9期409-411,共3页
The fixed-point track point inspection method is an advanced, scientific equipment point inspection management method, according to the "six" principle, that is, fixed point, fixed line, fixed method, timing... The fixed-point track point inspection method is an advanced, scientific equipment point inspection management method, according to the "six" principle, that is, fixed point, fixed line, fixed method, timing, calibration, fixed person to implement a comprehensive point inspection management of equipment. According to the application of the point inspection management system in Haerwusu open pit coal mine, this paper explains the superiority of the point inspection management in the equipment management and puts forward the method of perfecting and optimizing the point inspection management system, so that it can better serve the production and equipment management. In view of the equipment management of open pit coal mine, the implementation of "fixed locus spot inspection method" can greatly shorten the time of spot inspection, reduce the hidden cost, reduce the hidden danger of safety, and has an important application prospect in the field of open pit production. 展开更多
关键词 open-pit coal mine point detection method of fixed locus equipment
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A FIXED POINT APPROACH TO THE STABILITY OF A GENERALIZED APOLLONIUS TYPE QUADRATIC FUNCTIONAL EQUATION 认领 引用 被引量：2
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作者 王志华 《Acta Mathematica Scientia》 SCIE CSCD 2011年第4期1553-1560,共8页
Using the fixed point method, this article proves the Hyers-Ulam-Rassias stability of a generalized Apollonius type quadratic functional equation in Banach spaces. The conditions of these results are demonstrated by t... Using the fixed point method, this article proves the Hyers-Ulam-Rassias stability of a generalized Apollonius type quadratic functional equation in Banach spaces. The conditions of these results are demonstrated by the quadratic functional equation of Apollonius type. 展开更多
关键词 fixed point fixed point method Hyers-Ulam-Rassias stability quadratic mapping of Apollonius type
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Pseudo Almost Periodic Solutions of Nonlinear Hyperbolic Equations with Piecewise Constant Argument 认领 引用 被引量：1
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作者 周红燕 朴大雄 《Northeastern Mathematical Journal》 2007年第6期491-504,共14页
In this paper, we investigate the pseudo almost periodicity of the unique bounded solution for a nonlinear hyperbolic equation with piecewise constant argument. The equation under consideration is a mathematical model... In this paper, we investigate the pseudo almost periodicity of the unique bounded solution for a nonlinear hyperbolic equation with piecewise constant argument. The equation under consideration is a mathematical model for the dynamics of gas absorption, 展开更多
关键词 uniformly almost periodic function uniformly pseudo almost periodicfunction uniformly almost periodic sequence uniformly pseudo almost periodic se-quence fixed point Method
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FIXED POINTS AND STABILITY FOR QUARTIC MAPPINGS IN β-NORMED LEFT BANACH MODULES ON BANACH ALGEBRAS 认领 引用 被引量：2
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作者 H.Azadi KENARY A.R.ZOHDI M.Eshaghi GORDJI 《Acta Mathematica Scientia》 SCIE CSCD 2013年第4期1113-1118,共6页
The goal of the present paper is to investigate some new HUR-stability results by applying the alternative fixed point of generalized quartic functional equationin β-Banach modules on Banach algebras. The concept of ... The goal of the present paper is to investigate some new HUR-stability results by applying the alternative fixed point of generalized quartic functional equationin β-Banach modules on Banach algebras. The concept of Ulam-Hyers-Rassias stability （briefly, HUR-stability） originated from Th. M. Rassias stability theorem that appeared in his paper： On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 （1978）, 297-300. 展开更多
关键词 generalized Hyers-Ulam stability quartic functional equation Banach mod-ule unital Banach algebra generalized metric space fixed point method
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Variational analysis of thermomechanically coupled steady-state rolling problem 认领 引用 被引量：2
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作者 T. A. ANGELOV 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第11期1361-1372,共12页
A steady-state, rigid-plastic rolling problem for temperature and strain-rate dependent materials with nonlocal friction is considered. A variational formulation is derived, coupling a nonlinear variational inequality... A steady-state, rigid-plastic rolling problem for temperature and strain-rate dependent materials with nonlocal friction is considered. A variational formulation is derived, coupling a nonlinear variational inequality for the velocity and a nonlinear vari- ational equation for the temperature. The existence and uniqueness results are obtained by a proposed fixed point method. 展开更多
关键词 steady-state rolling rigid-thermoviscoplastic material nonlocal friction,fixed point method variational analysis
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A Compact Finite Difference Schemes for Solving the Coupled Nonlinear Schrodinger-Boussinesq Equations 认领 引用 被引量：2
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作者 M. S. Ismail H. A. Ashi 《Applied Mathematics》 2016年第7期605-615,共11页
In this paper we are going to derive two numerical methods for solving the coupled nonlinear Schrodinger-Boussinesq equation. The first method is a nonlinear implicit scheme of second order accuracy in both directions... In this paper we are going to derive two numerical methods for solving the coupled nonlinear Schrodinger-Boussinesq equation. The first method is a nonlinear implicit scheme of second order accuracy in both directions time and space;the scheme is unconditionally stable. The second scheme is a nonlinear implicit scheme of second order accuracy in time and fourth order accuracy in space direction. A generalized method is also derived where the previous schemes can be obtained by some special values of l. The proposed methods will produced a coupled nonlinear tridiagonal system which can be solved by fixed point method. The exact solutions and the conserved quantities for two different tests are used to display the robustness of the proposed schemes. 展开更多
关键词 Coupled Nonlinear Schrodinger-Boussinesq Equation Conserved Quantities Soliton Plane Wave Solution Fixed Point Method
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RANDOM APPROXIMATION OF AN ADDITIVE FUNCTIONAL EQUATION OF m-APPOLLONIUS TYPE 认领 引用 被引量：2
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作者 Hassan Azadi Kenary 《Acta Mathematica Scientia》 SCIE CSCD 2012年第5期1813-1825,共13页
In this paper,using the fixed-point and direct methods,we prove the HyersUlam stability of the following m-Appolonius type functional equation：∑mi=1 f（z-xi）=mf（z-1/m2∑mi=1xi）-1/m∑1≤i〈j≤mf（xi＋xj）,where m ... In this paper,using the fixed-point and direct methods,we prove the HyersUlam stability of the following m-Appolonius type functional equation：∑mi=1 f（z-xi）=mf（z-1/m2∑mi=1xi）-1/m∑1≤i〈j≤mf（xi＋xj）,where m is a natural number greater than 1,in random normed spaces. 更多还原 展开更多
关键词 Hyers-Ulam stability additive functional equation random normed space fixed point method
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ON AN EQUATION CHARACTERIZING MULTI-CAUCHY-JENSEN MAPPINGS AND ITS HYERS-ULAM STABILITY 认领 引用
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作者 Anna BAHYRYCZ Krzysztof CIEPLINSKI Jolanta OLKO 《Acta Mathematica Scientia》 SCIE CSCD 2015年第6期1349-1358,共10页
In this paper, we give two characterizations of multi-Cauchy-Jensen mappings. One of them reduces the system of n equations defining these mappings to a single functional equation. We also prove, using the fixed point... In this paper, we give two characterizations of multi-Cauchy-Jensen mappings. One of them reduces the system of n equations defining these mappings to a single functional equation. We also prove, using the fixed point method, the generalized Hyers-Ulam stability of this equation. Our results generalize some known outcomes. 展开更多
关键词 multi-Cauchy-Jensen mapping （generalized） Hyers-Ulam stability Cauchy＇sfunctional equation Jensen＇s functional equation fixed point method
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ON NONLINEAR HYPERBOLIC EQUATION IN UNBOUNDED DOMAIN 认领 引用
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作者 耿堤 屈长征 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1992年第3期255-261,共7页
The following nonlinear hyperbolic equation is discussed in this paper:where A= -? + Iandx∈Rn. The model comes from the transverse deflection equation of an extensible beam. We prove that there exists a unique local ... The following nonlinear hyperbolic equation is discussed in this paper:where A= -? + Iandx∈Rn. The model comes from the transverse deflection equation of an extensible beam. We prove that there exists a unique local solution of the above equation as M depends on x. 展开更多
关键词 nonlinear hyperbolic equations unbounded domain energy estimation fixed point method
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Numericals for total variation-based reconstruction of motion blurred images 认领 引用 被引量：1
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作者 XU Qiu-bin 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE 2010年第3期367-373,共7页
In this paper image with horizontal motion blur, vertical motion blur and angled motion blur are considered. We construct several difference schemes to the highly nonlinear term △↓.（△↓u/√｜△↓｜^2＋β） of the ... In this paper image with horizontal motion blur, vertical motion blur and angled motion blur are considered. We construct several difference schemes to the highly nonlinear term △↓.（△↓u/√｜△↓｜^2＋β） of the total variation-based image motion deblurring problem. The large nonlinear system is linearized by fixed point iteration method. An algebraic multigrid method with Krylov subspace acceleration is used to solve the corresponding linear equations as in [7]. The algorithms can restore the image very well. We give some numerical experiments to demonstrate that our difference schemes are efficient and robust. 展开更多
关键词 Motion blur difference scheme fixed point method algebraic multigrid method.
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Numerical Simulation of Modified Kortweg-de Vries Equation by Linearized Implicit Schemes 认领 引用
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作者 M. S. Ismail Fakhirah Alotaibi 《Applied Mathematics》 2020年第11期1139-1161,共23页
In this paper, we are going to derive four numerical methods for solving the Modified Kortweg-de Vries (MKdV) equation using fourth Pade approximation for space direction and Crank Nicolson in the time direction. Two ... In this paper, we are going to derive four numerical methods for solving the Modified Kortweg-de Vries (MKdV) equation using fourth Pade approximation for space direction and Crank Nicolson in the time direction. Two nonlinear schemes and two linearized schemes are presented. All resulting schemes will be analyzed for accuracy and stability. The exact solution and the conserved quantities are used to highlight the efficiency and the robustness of the proposed schemes. Interaction of two and three solitons will be also conducted. The numerical results show that the interaction behavior is elastic and the conserved quantities are conserved exactly, and this is a good indication of the reliability of the schemes which we derived. A comparison with some existing is presented as well. 展开更多
关键词 MKdV Equation Pade Approximation Nonlinear Numerical Schemes Linearly Implicit Schemes Fixed Point Method Interaction of Solitons
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SOLUTIONS OF INTEGRAL EQUATIONS OF A CLASS IN A LOCALLY SEMI-CONVEX SPACE 认领 引用
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作者 梁立华 《Transactions of Tianjin University》 CAS 1995年第2期191+190-191,共192页
n this paper, solutions of vector-valued integral equations of a class on an interval (a,b) to a complete Hausdorff locally semi--convex space are presented by the fixed point method.
关键词 locally semi--convex space integral equations fixed point method
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General Solution and Stability of Quattuordecic Functional Equation in Quasi β-Normed Spaces 认领 引用
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作者 K. Ravi J. M. Rassias +1 位作者 S. Pinelas S. Suresh 《Advances in Pure Mathematics》 2016年第12期921-941,共21页
In this paper, we introduce the following quattuordecic functional equation f(x+7y)-14f(x+6y)+91f(x+5y)-364f(x+4y)+1001f(x+3y)-2002f(x+2y)+3003f(x+y)-3432f(x)+3003f(x-y)-2002f(x-2y)+1001f(x-3y)-364f(x-4y)+91f(x-5y)-14... In this paper, we introduce the following quattuordecic functional equation f(x+7y)-14f(x+6y)+91f(x+5y)-364f(x+4y)+1001f(x+3y)-2002f(x+2y)+3003f(x+y)-3432f(x)+3003f(x-y)-2002f(x-2y)+1001f(x-3y)-364f(x-4y)+91f(x-5y)-14f(x-6y)+f(x-7y)=14!f(y), investigate the general solution and prove the stability of this quattuordecic functional equation in quasi &beta;-normed spaces by using the fixed point method. 展开更多
关键词 Quattuordecic Functional Equation Fixed Point Method Hyers-Ulam Rassias Stability Quasi-β-Normed Space
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CHARACTERISTICS OF LIP-MOUTH REGION IN SMILING POSITION FROM 80 PERSONS WITH ACCEPTABLE FACES AND INDIVIDUAL NORMAL OCCLUSIONS 认领 引用
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作者 张江恒 陈扬熙 周秀坤 《Chinese Medical Sciences Journal》 CAS 2002年第3期189-192,共4页
OBJECTIVE: The characteristics of lip-mouth region including the soft and hard tissues in smiling position with frontal fixed position photographic computer-aided analysis were studied. METHODS: The subjects were 80 p... OBJECTIVE: The characteristics of lip-mouth region including the soft and hard tissues in smiling position with frontal fixed position photographic computer-aided analysis were studied. METHODS: The subjects were 80 persons (40 male and 40 females, age range: 17 to approximately 25 years) with acceptable faces and individual normal occlusions. The subjects were asked to take maximum smiling position to accept photographic measurement with computer-aided analysis. RESULTS: The maximum smile line could be divided into 3 categories: low smile line (16.25%), average smile line (68.75%), and high smile line (15%). CONCLUSION: The method adopting maximum smiling position to study the lip-month region is reproducible and comparable. This study would be helpful to provide a quantitative reference for clinical investigation, diagnosis, treatment and efficacy appraisal. 展开更多
关键词 person lip smilingObjective. The characteristics of lip mouth region including the soft and hard tissues in smiling position with frontal fixed position photographic computer aided analysis were studied. Methods. The subjects were 80 person
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Effects of fixed and dynamic mesh methods on simulation of stepped planing craft 认领 引用 被引量：8
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作者 M.Mehdi Doustdar Hamid Kazemi 《Journal of Ocean Engineering and Science》 SCIE 2019年第1期33-48,共16页
In the present study,we investigate the effects of fixed and dynamic mesh methods on CFD simulation of stepped planing craft.To this accomplishment,three different body forms of without step,one step,and two step Coug... In the present study,we investigate the effects of fixed and dynamic mesh methods on CFD simulation of stepped planing craft.To this accomplishment,three different body forms of without step,one step,and two step Cougar planing crafts are considered.Three-dimensional CFD analysis is conducted using finite volume method(FVM).Volume of fluid(VOF)model is used for free surface modeling.Overset mesh technique(dynamic mesh)and fixed mesh method are conducted by STAR CCM and ANSYS CFX CFD toolboxes,respectively.CFD results of total hydrodynamic resistance and dynamic trim angle are compared against our measured experimental data to assess the performance and accuracy of considered mesh methods.For more details,pressure distributions,wave patterns and streamlines around the hull models are also presented.Based on our CFD results,dynamic mesh method is more accurate and precise to simulate the stepped planing crafts compared to fixed mesh method.However,computational cost for dynamic mesh method is significantly greater than the fixed mesh method.We also found that the porpoising phenomenon is only detectable using dynamic mesh method in simulation of stepped Cougar planing craft.©2018 Shanghai Jiaotong University.Published by Elsevier B.V. 展开更多
关键词 CFD Dynamic mesh method Fixed mesh method Stepped planing craft.
A Fixed Point Method for the Linear Complementarity Problem Arising from American Option Pricing 认领 引用 被引量：3
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作者 Xian-Jun SHI Lei YANG Zheng-Hai HUANG 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2016年第4期921-932,共12页
For American option pricing, the Black-Scholes-Merton model can be discretized as a linear comple- mentarity problem （LCP） by using some finite difference schemes. It is well known that the Projected Successive Over... For American option pricing, the Black-Scholes-Merton model can be discretized as a linear comple- mentarity problem （LCP） by using some finite difference schemes. It is well known that the Projected Successive Over Relaxation （PSOR） has been widely applied to solve the resulted LCP. In this paper, we propose a fixed point iterative method to solve this type of LCPs, where the splitting technique of the matrix is used. We show that the proposed method is globally convergent under mild assumptions. The preliminary numerical results are reported, which demonstrate that the proposed method is more accurate than the PSOR for the problems we tested. 展开更多
关键词 American option pricing finite difference method fixed point method linear complementarityproblem
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An Inverse Problem for a Nonlinear Evolution Equation 认领 引用
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作者 江成顺 孙同军 崔国忠 《Journal of Mathematical Research and Exposition》 北大核心 2001年第1期53-59,共7页
This paper deals with an inverse problem for the unknown source term in a nonlinear evolution equation. Firstly, the authors change the initial boundary value problem (IBVP) for the equation into a Cauchy problem for ... This paper deals with an inverse problem for the unknown source term in a nonlinear evolution equation. Firstly, the authors change the initial boundary value problem (IBVP) for the equation into a Cauchy problem for a certain nonlinear evolution equation. Secondly, using the semigroup theory, the authors establish the existence and uniqueness of the solution for the inverse problem. Finally, they take advantage of the fixed point method for some contraction mapping and get the solvability of the inverse problem for the evolution equation. 展开更多
关键词 evolution equation inverse problem semigroup theory fixed point method.
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Fuzzy Stability of Quadratic-cubic Functional Equations 认领 引用 被引量：5
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作者 Zhi Hua WANG Wan Xiong ZHANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第11期2191-2204,共14页
In this paper, the direct method and the fixed point alternative method are implemented to give Hyers-Uiam-Rassias stability of the functional equation 6f（x＋y）-6f（x-y）＋4f（3y）=3f（x＋2y）-3f（x-2y）＋9f（2y） i... In this paper, the direct method and the fixed point alternative method are implemented to give Hyers-Uiam-Rassias stability of the functional equation 6f（x＋y）-6f（x-y）＋4f（3y）=3f（x＋2y）-3f（x-2y）＋9f（2y） in fuzzy Banach spaces. We can find the range of approximate solutions obtained using the direct method are less than those obtained by using the fixed point alternative method for the above and the functional equation. 展开更多
关键词 Fuzzy normed space quadratic-cubic functional equation fixed point alternative method Hyers-Ulam-Rassias stability
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