In this paper,with the idea of weighted sharing values,we deal with the problem of uniqueness of mesomorphic functions sharing three weighted values.We obtain some theorems which improve the results of H X Yi and W R ...In this paper,with the idea of weighted sharing values,we deal with the problem of uniqueness of mesomorphic functions sharing three weighted values.We obtain some theorems which improve the results of H X Yi and W R L.展开更多
This paper is to study the unicity of transcendental meromorphic solutions to some nonlinear difference equations. Let be a nonzero rational function. Consider the uniqueness of transcendental meromorphic solutions to...This paper is to study the unicity of transcendental meromorphic solutions to some nonlinear difference equations. Let be a nonzero rational function. Consider the uniqueness of transcendental meromorphic solutions to some nonlinear difference equations of the form . For two finite order transcendental meromorphic solutions of the equation above, it shows that they are almost equal to each other except for a nonconstant factor, if they have the same zeros and poles counting multiplicities, when . Two relative results are proved, and examples to show sharpness of our results are provided.展开更多
In this paper, we deal with the problem of uniqueness of entire or meromorphic functions and obtain some results that are improvements over those of M. Ozawa, H. Ueda, K. Shibazaki and Yi Hongxun. An example shows tha...In this paper, we deal with the problem of uniqueness of entire or meromorphic functions and obtain some results that are improvements over those of M. Ozawa, H. Ueda, K. Shibazaki and Yi Hongxun. An example shows that the results in this paper are sharp.展开更多
The difficulty of extracting hidden information, which is essentially a kindof secrecy, is analyzed by information-theoretic method. The relations between key rate, messagerate, hiding capacity and difficulty of extra...The difficulty of extracting hidden information, which is essentially a kindof secrecy, is analyzed by information-theoretic method. The relations between key rate, messagerate, hiding capacity and difficulty of extraction are studied in the terms of unicity distance ofstego-key, and the theoretic conclusion is used to analyze the actual extracting attack on LeastSignificant Bit(LSB) steganographic algorithms.展开更多
In this paper, we discuss the nonlinear approximation of a variation of L1 under the local Haar condition. Theorems on characterizations (including alternations), unicity and strong unicity of the nonlinear approximat...In this paper, we discuss the nonlinear approximation of a variation of L1 under the local Haar condition. Theorems on characterizations (including alternations), unicity and strong unicity of the nonlinear approximation are obtained, the associated linear problem equivalent to the nonlinear approximation are given.展开更多
Let K be a complete algebraically closed p-adic field of characteristic zero. We apply results in algebraic geometry and a new Nevanlinna theorem for p-adic meromorphic functions in order to prove results of uniquenes...Let K be a complete algebraically closed p-adic field of characteristic zero. We apply results in algebraic geometry and a new Nevanlinna theorem for p-adic meromorphic functions in order to prove results of uniqueness in value sharing prob-lems, both on K and on C. Let P be a polynomial of uniqueness for meromorphic functions in K or C or in an open disk. Let f , g be two transcendental meromorphic functions in the whole field K or in C or meromorphic functions in an open disk of K that are not quotients of bounded analytic functions. We show that if f′P′（ f ） and g′P′（g） share a small function α counting multiplicity, then f=g, provided that the multiplicity order of zeros of P′satisfy certain inequalities. A breakthrough in this pa-per consists of replacing inequalities n≥k＋2 or n≥k＋3 used in previous papers by Hypothesis （G）. In the p-adic context, another consists of giving a lower bound for a sum of q counting functions of zeros with （q-1） times the characteristic function of the considered meromorphic function.展开更多
A uniqueness theorem for entire functions sharing one finite complex value with weight two is proved by using Nevanlinna theory , and this improves the result of Fang and Hua.
Initially, Osgood used the integral ∫dr/f（r）for an unicity crite, rion to the differential equation y＇ = f（y）, f （0） = 0. The trivial solution is unique iff this integral goes to the infinite at the origin. Th...Initially, Osgood used the integral ∫dr/f（r）for an unicity crite, rion to the differential equation y＇ = f（y）, f （0） = 0. The trivial solution is unique iff this integral goes to the infinite at the origin. Then he can prove the unicity of the trivial solution of y＇ = y Ln｜Y｜, although the second member is not lipschitzian. Later, Bernfeld [1] shows that all the solutions of y＇ = f（y） do not explose iffthe same integral goes to the infinite at the infinite. Finally, we can adapt a result from the Cauchy works as follows： the trivial solution is a singular solution iffthe same integral vanishes at the origin. Using non standard analysis, we present the proofs of the different criterions and show that the Osgood integral was used by Cauchy before in the similar purpose.展开更多
Aims: to analyze the presence and simultaneity of behavioral risk factors for chronic non-communicable disease (NCD) in adults and the elderly. Methods: quantitative, cross-sectional and observational study. Healthy a...Aims: to analyze the presence and simultaneity of behavioral risk factors for chronic non-communicable disease (NCD) in adults and the elderly. Methods: quantitative, cross-sectional and observational study. Healthy and unhealthy eating are classified according to the frequency of food consumption. Smoking is expressed by the percentage of smokers. Harmful alcohol consumption by the percentage of individuals who consumed alcoholic beverages at least once in the last 30 days. Classification of the level of physical inactivity required to practice at least 150 minutes of physical activity. Results: the sample constituted 719 people, 535 adults and 184 elderly. The behavioral risk factor reported by most adults 499 (93.3%) and elderly 156 (84.8%) was unhealthy eating. Frequency 72% higher of smoking, four times higher of harmful alcohol consumption and 10% higher of unhealthy food among adults when compared to the elderly. The simultaneity between risk factors was 39% greater in adults than in the elderly. Discussion: risk factors evaluated in this study are key aspects of the development of NCDs. Adults have 2.43 times the chance of presenting two risk factors and 7.73 times the chance of presenting three in relation to the elderly. Conclusion: To achieve more effective and differentiated results, knowing and directing measures to control behavioral risk factors, whether isolated or concurrent, requires specific knowledge.展开更多
Let f be a nonconstant entire function; let k ≥ 2 be a positive integer; and let a be a nonzero complex number. If f（z） = a→f′（z） = a, and f′（z） = a →f^（k）（z） = a, then either f = Ce^λz ＋ a or f = Ce^...Let f be a nonconstant entire function; let k ≥ 2 be a positive integer; and let a be a nonzero complex number. If f（z） = a→f′（z） = a, and f′（z） = a →f^（k）（z） = a, then either f = Ce^λz ＋ a or f = Ce^λz ＋ a（λ - 1）/）λ, where C and ）, are nonzero constants with λ^k-1 = 1. The proof is based on the Wiman-Vlairon theory and the theory of normal families in an essential way.展开更多
We propose and demonstrate a novel scheme of semi-open-loop polarization control(SOL-PC), which controls the state of polarization(SOP) with high accuracy and uniform high speed. For any desired SOP, we first adjust t...We propose and demonstrate a novel scheme of semi-open-loop polarization control(SOL-PC), which controls the state of polarization(SOP) with high accuracy and uniform high speed. For any desired SOP, we first adjust the initial SOP using open-loop control(OLC) based on the matrix model of a three-unit piezoelectric polarization controller, and quickly move it close to the objective one. Then closed-loop control(CLC) is performed to reduce the error and reach precisely the desired SOP. The response time is three orders faster than that of the present closed-loop polarization control, while the average deviation is on par with it. Finally, the SOL-PC system is successfully applied to realize the suppression of the polarization mode dispersion(PMD) effect and reduce the first-order PMD to near zero. Due to its perfect performance, the SOL-PC energizes the present polarization control to pursue an ideal product that can meet the future requirements in ultrafast optical transmission and quantum communication.展开更多
Objective:To determine and compare the fecundity of Clarias gariepinus(C.gariepinus)fed with Unical aqua feed and Coppens feeds in concrete tanks,including the nature of relationship that exist between fecundity and m...Objective:To determine and compare the fecundity of Clarias gariepinus(C.gariepinus)fed with Unical aqua feed and Coppens feeds in concrete tanks,including the nature of relationship that exist between fecundity and morphometric indices of fish such as total length and total weight.Methods:An experiment was conducted for 6 months in the fish farm of University of Calabar with two triplicate groups of 50 C.gariepinus post-fingerlings.The experimental fish weighing(0.50±0.02)kg were stocked in concrete tanks(circular)of 16.63 m^(2)area.The tanks were labelled A_(1),A_(2),A_(3),B(1),B(2)and B(3).Fish in tank A_(1),A_(2)and A_(3)were fed with Coppens feed and fish in tanks B(1),B(2)and B(3)were fed with Unical aqua feed.Feeding was done twice daily(9:00 and 16:00)at 3%of their body weight.Results:Mean fecundity of C.gariepinus fed with Unical aqua feed(68366.67±15966.29)eggs varied significantly(P<0.05)from C.gariepinus fed with Coppens feed(61833.83±11692.31)eggs.A linear relationship was observed between fecundity and biometric indices(total length,total weight and ovary weight)of C.gariepinus fed with the two feeds.Food conversion efficiency of C.gariepinus fed with Coppens feed(50.94%±0.91%)was insignificantly higher(P>0.05)than C.gariepinus fed with Unical aqua feed(50.37%±1.29%).Water quality parameters including ammonia(mg/L),pH,water temperature(°C)and dissolved oxygen(mg/L)fell within the recommended range for the culture of fresh water fish.Conclusions:Fecundity of C.gariepinus reared in concrete tank was significantly influenced by the experimental feed.Therefore,on the bases of affordability and availability to farmers,Unical aqua feed is more economical and is recommended as a cost-effective cultivation of female C.gariepinus broodstock.展开更多
FBI可远程激活Android设备麦克风The FBI can remotely flip on Android phone mikes知情人士近日透露,美国联邦调查局(FBI)能够远程激活Android手机及笔记本电脑上的麦克风,进而记录这些被入侵用户的语音通话内容。报料人表示,FBI"...FBI可远程激活Android设备麦克风The FBI can remotely flip on Android phone mikes知情人士近日透露,美国联邦调查局(FBI)能够远程激活Android手机及笔记本电脑上的麦克风,进而记录这些被入侵用户的语音通话内容。报料人表示,FBI"远程操作部门"有时会通过插入物理设备(如USB驱动等)方式来安装这种监视软件。展开更多
文摘In this paper,with the idea of weighted sharing values,we deal with the problem of uniqueness of mesomorphic functions sharing three weighted values.We obtain some theorems which improve the results of H X Yi and W R L.
文摘This paper is to study the unicity of transcendental meromorphic solutions to some nonlinear difference equations. Let be a nonzero rational function. Consider the uniqueness of transcendental meromorphic solutions to some nonlinear difference equations of the form . For two finite order transcendental meromorphic solutions of the equation above, it shows that they are almost equal to each other except for a nonconstant factor, if they have the same zeros and poles counting multiplicities, when . Two relative results are proved, and examples to show sharpness of our results are provided.
基金Supported by the National Natural Science Foundation of China.
文摘In this paper, we deal with the problem of uniqueness of entire or meromorphic functions and obtain some results that are improvements over those of M. Ozawa, H. Ueda, K. Shibazaki and Yi Hongxun. An example shows that the results in this paper are sharp.
文摘The difficulty of extracting hidden information, which is essentially a kindof secrecy, is analyzed by information-theoretic method. The relations between key rate, messagerate, hiding capacity and difficulty of extraction are studied in the terms of unicity distance ofstego-key, and the theoretic conclusion is used to analyze the actual extracting attack on LeastSignificant Bit(LSB) steganographic algorithms.
文摘In this paper, we discuss the nonlinear approximation of a variation of L1 under the local Haar condition. Theorems on characterizations (including alternations), unicity and strong unicity of the nonlinear approximation are obtained, the associated linear problem equivalent to the nonlinear approximation are given.
基金Partially funded by the research project CONICYT (Inserción de nuevos investigadores en la academia, NO. 79090014) from the Chilean Government
文摘Let K be a complete algebraically closed p-adic field of characteristic zero. We apply results in algebraic geometry and a new Nevanlinna theorem for p-adic meromorphic functions in order to prove results of uniqueness in value sharing prob-lems, both on K and on C. Let P be a polynomial of uniqueness for meromorphic functions in K or C or in an open disk. Let f , g be two transcendental meromorphic functions in the whole field K or in C or meromorphic functions in an open disk of K that are not quotients of bounded analytic functions. We show that if f′P′（ f ） and g′P′（g） share a small function α counting multiplicity, then f=g, provided that the multiplicity order of zeros of P′satisfy certain inequalities. A breakthrough in this pa-per consists of replacing inequalities n≥k＋2 or n≥k＋3 used in previous papers by Hypothesis （G）. In the p-adic context, another consists of giving a lower bound for a sum of q counting functions of zeros with （q-1） times the characteristic function of the considered meromorphic function.
文摘A uniqueness theorem for entire functions sharing one finite complex value with weight two is proved by using Nevanlinna theory , and this improves the result of Fang and Hua.
文摘Initially, Osgood used the integral ∫dr/f（r）for an unicity crite, rion to the differential equation y＇ = f（y）, f （0） = 0. The trivial solution is unique iff this integral goes to the infinite at the origin. Then he can prove the unicity of the trivial solution of y＇ = y Ln｜Y｜, although the second member is not lipschitzian. Later, Bernfeld [1] shows that all the solutions of y＇ = f（y） do not explose iffthe same integral goes to the infinite at the infinite. Finally, we can adapt a result from the Cauchy works as follows： the trivial solution is a singular solution iffthe same integral vanishes at the origin. Using non standard analysis, we present the proofs of the different criterions and show that the Osgood integral was used by Cauchy before in the similar purpose.
文摘Aims: to analyze the presence and simultaneity of behavioral risk factors for chronic non-communicable disease (NCD) in adults and the elderly. Methods: quantitative, cross-sectional and observational study. Healthy and unhealthy eating are classified according to the frequency of food consumption. Smoking is expressed by the percentage of smokers. Harmful alcohol consumption by the percentage of individuals who consumed alcoholic beverages at least once in the last 30 days. Classification of the level of physical inactivity required to practice at least 150 minutes of physical activity. Results: the sample constituted 719 people, 535 adults and 184 elderly. The behavioral risk factor reported by most adults 499 (93.3%) and elderly 156 (84.8%) was unhealthy eating. Frequency 72% higher of smoking, four times higher of harmful alcohol consumption and 10% higher of unhealthy food among adults when compared to the elderly. The simultaneity between risk factors was 39% greater in adults than in the elderly. Discussion: risk factors evaluated in this study are key aspects of the development of NCDs. Adults have 2.43 times the chance of presenting two risk factors and 7.73 times the chance of presenting three in relation to the elderly. Conclusion: To achieve more effective and differentiated results, knowing and directing measures to control behavioral risk factors, whether isolated or concurrent, requires specific knowledge.
基金the NNSF of China(Grant No.10471065)the NSF of Education Department of Jiangsu Province(Grant No.04KJD110001)+1 种基金the SRF for ROCS,SEMthe Presidential Foundation of South China Agricultural University
文摘Let f be a nonconstant entire function; let k ≥ 2 be a positive integer; and let a be a nonzero complex number. If f（z） = a→f′（z） = a, and f′（z） = a →f^（k）（z） = a, then either f = Ce^λz ＋ a or f = Ce^λz ＋ a（λ - 1）/）λ, where C and ）, are nonzero constants with λ^k-1 = 1. The proof is based on the Wiman-Vlairon theory and the theory of normal families in an essential way.
基金the National Natural Science Foundation of China.(Nos.11574026 and 11274037).
文摘We propose and demonstrate a novel scheme of semi-open-loop polarization control(SOL-PC), which controls the state of polarization(SOP) with high accuracy and uniform high speed. For any desired SOP, we first adjust the initial SOP using open-loop control(OLC) based on the matrix model of a three-unit piezoelectric polarization controller, and quickly move it close to the objective one. Then closed-loop control(CLC) is performed to reduce the error and reach precisely the desired SOP. The response time is three orders faster than that of the present closed-loop polarization control, while the average deviation is on par with it. Finally, the SOL-PC system is successfully applied to realize the suppression of the polarization mode dispersion(PMD) effect and reduce the first-order PMD to near zero. Due to its perfect performance, the SOL-PC energizes the present polarization control to pursue an ideal product that can meet the future requirements in ultrafast optical transmission and quantum communication.
文摘Objective:To determine and compare the fecundity of Clarias gariepinus(C.gariepinus)fed with Unical aqua feed and Coppens feeds in concrete tanks,including the nature of relationship that exist between fecundity and morphometric indices of fish such as total length and total weight.Methods:An experiment was conducted for 6 months in the fish farm of University of Calabar with two triplicate groups of 50 C.gariepinus post-fingerlings.The experimental fish weighing(0.50±0.02)kg were stocked in concrete tanks(circular)of 16.63 m^(2)area.The tanks were labelled A_(1),A_(2),A_(3),B(1),B(2)and B(3).Fish in tank A_(1),A_(2)and A_(3)were fed with Coppens feed and fish in tanks B(1),B(2)and B(3)were fed with Unical aqua feed.Feeding was done twice daily(9:00 and 16:00)at 3%of their body weight.Results:Mean fecundity of C.gariepinus fed with Unical aqua feed(68366.67±15966.29)eggs varied significantly(P<0.05)from C.gariepinus fed with Coppens feed(61833.83±11692.31)eggs.A linear relationship was observed between fecundity and biometric indices(total length,total weight and ovary weight)of C.gariepinus fed with the two feeds.Food conversion efficiency of C.gariepinus fed with Coppens feed(50.94%±0.91%)was insignificantly higher(P>0.05)than C.gariepinus fed with Unical aqua feed(50.37%±1.29%).Water quality parameters including ammonia(mg/L),pH,water temperature(°C)and dissolved oxygen(mg/L)fell within the recommended range for the culture of fresh water fish.Conclusions:Fecundity of C.gariepinus reared in concrete tank was significantly influenced by the experimental feed.Therefore,on the bases of affordability and availability to farmers,Unical aqua feed is more economical and is recommended as a cost-effective cultivation of female C.gariepinus broodstock.
文摘FBI可远程激活Android设备麦克风The FBI can remotely flip on Android phone mikes知情人士近日透露,美国联邦调查局(FBI)能够远程激活Android手机及笔记本电脑上的麦克风,进而记录这些被入侵用户的语音通话内容。报料人表示,FBI"远程操作部门"有时会通过插入物理设备(如USB驱动等)方式来安装这种监视软件。
