Formany years,researchers have explored power allocation(PA)algorithms driven bymodels in wireless networks where multiple-user communications with interference are present.Nowadays,data-driven machine learning method...Formany years,researchers have explored power allocation(PA)algorithms driven bymodels in wireless networks where multiple-user communications with interference are present.Nowadays,data-driven machine learning methods have become quite popular in analyzing wireless communication systems,which among them deep reinforcement learning(DRL)has a significant role in solving optimization issues under certain constraints.To this purpose,in this paper,we investigate the PA problem in a k-user multiple access channels(MAC),where k transmitters(e.g.,mobile users)aim to send an independent message to a common receiver(e.g.,base station)through wireless channels.To this end,we first train the deep Q network(DQN)with a deep Q learning(DQL)algorithm over the simulation environment,utilizing offline learning.Then,the DQN will be used with the real data in the online training method for the PA issue by maximizing the sumrate subjected to the source power.Finally,the simulation results indicate that our proposedDQNmethod provides better performance in terms of the sumrate compared with the available DQL training approaches such as fractional programming(FP)and weighted minimum mean squared error(WMMSE).Additionally,by considering different user densities,we show that our proposed DQN outperforms benchmark algorithms,thereby,a good generalization ability is verified over wireless multi-user communication systems.展开更多
In this paper, we study the existence of multiple solutions for the following nonlinear elliptic problem of p＆q-Laplacian type involving the critical Sobolev exponent：{-△pu-△qu=│u│^p＊-2u＋μ│u│^r-2u in Ω u...In this paper, we study the existence of multiple solutions for the following nonlinear elliptic problem of p＆q-Laplacian type involving the critical Sobolev exponent：{-△pu-△qu=│u│^p＊-2u＋μ│u│^r-2u in Ω u│δΩ=0,where Ω belong to R^N is a bounded domain,N〉p,p^＊=Np/N-p is the critical Sobolev exponent and μ 〉0. We prove that if 1 〈 r 〈 q 〈 p 〈 N, then there is a μ0 〉 0, such that for any μ∈ （0, μ0）, the above mentioned problem possesses infinitely many weak solutions. Our result generalizes a similar result in [8] for p-Laplacian type problem.展开更多
Coenzyme Q10(Co Q10) is an essential cofactor in the mitochondrial respiratory pathway and also functions as a lipid-soluble antioxidant. Co Q10 deficiency has been implicated in many clinical disorders and aging. Pri...Coenzyme Q10(Co Q10) is an essential cofactor in the mitochondrial respiratory pathway and also functions as a lipid-soluble antioxidant. Co Q10 deficiency has been implicated in many clinical disorders and aging. Primary Co Q10 deficiency is a group of recessively inherited diseases caused by mutations in any gene involved in the Co Q10 biosynthesis pathway. Although primary Co Q10 deficiency is rare, its diagnosis is important because it is potentially treatable with exogenous Co Q10. Multiple system atrophy(MSA) was recently shown to be linked to mutations in the COQ2 gene, one of the genes involved in the Co Q10 biosynthesis pathway. MSA is relatively common in adult-onset neurodegenerative diseases characterized by Parkinsonism, cerebellar ataxia and autonomic failures. Because COQ2 mutations are associated with an increased risk of MSA, oral Co Q10 supplementation may be beneficial for MSA, as for other primary Co Q10 deficiencies. Statins are 3-hydroxy-3-methylglutaryl coenzyme A inhibitors that inhibit the biosynthesis of cholesterol, as well as the synthesis of mevalonate, a critical intermediate in cholesterol synthesis. Statin therapy has been associ-ated with a variety of muscle complaints from myalgia to rhabdomyolysis. Statin treatment carries a potential risk of Co Q10 deficiency, although no definite evidence has implicated CQ10 deficiency as the cause of statinrelated myopathy.展开更多
In this paper, we present a simple theoretical approach to calculate the multiple ionization of big atoms and molecules induced by very high-q fast projectiles in a strong coupling regime （q/v 〉 1）. The results obt...In this paper, we present a simple theoretical approach to calculate the multiple ionization of big atoms and molecules induced by very high-q fast projectiles in a strong coupling regime （q/v 〉 1）. The results obtained from this approach are in excellent agreement with the available experimental data. A probable scenario of molecular multiple ionization by fast and very high-q projectiles is discussed. The very small computational time required here and the good agreement with the existing experimental data make it a good candidate for studying the multiple ionization of complex molecules under high linear energy transfers.展开更多
In this paper, we extend our previous work of classical over barrier ionization (COBI) model to study the multiple ionization cross section of Ne and CO molecule collided by very high-q fast projectiles(q/v > 1). T...In this paper, we extend our previous work of classical over barrier ionization (COBI) model to study the multiple ionization cross section of Ne and CO molecule collided by very high-q fast projectiles(q/v > 1). The model gives similar results to the independent-electron-approximation calculation and is in good agreement with experimental data. The very small computational time required makes it a good candidate for studying the multiple ionization of complex molecules under high linear energy transfers.展开更多
Multiple myeloma(MM)is a clonal expansion of malignant plasma cells,and comprises approximately 10%of hematologic malignancies.Although various therapeutic agents and strategies,such as immunomodulatory agents,proteas...Multiple myeloma(MM)is a clonal expansion of malignant plasma cells,and comprises approximately 10%of hematologic malignancies.Although various therapeutic agents and strategies,such as immunomodulatory agents,proteasome inhibitors,monoclonal antibodies and hematopoietic stem cell transplantation(HSCT)have been evaluated,MM remains largely incurable.It is therefore important to further explore the risk factors for disease progression,and to design trials aimed at improving the patient outcomes.Previous studies have considered the presence of a gain in 1q21 as a risk factor for a poorer overall survival.Gain of 1q21 is one of the most common chromosomal aberrations in MM,being detected by fluorescence in situ hybridization in 36%to 47%of newly-diagnosed patients,as well as 52%and 62%patients with relapsed MM.Although a series of reports identified 1q21 gain in MM as a significant and independent poor prognostic factor,other studies failed to demonstrate any prognostic value.Thus,the prognostic value of 1q21 gain in MM remains controversial.We reviewed the current knowledge about 1q21 gain and its value for the clinical management of MM.展开更多
In this article, we study the existence of infinitely many solutions to the degenerate quasilinear elliptic system -div（h1（x）｜△u｜p-2△u）=d（x）｜u｜r-2u＋Gu（x,u,v） in Ω -div（h2（x）｜△u｜q-2△v）=f（x）｜v...In this article, we study the existence of infinitely many solutions to the degenerate quasilinear elliptic system -div（h1（x）｜△u｜p-2△u）=d（x）｜u｜r-2u＋Gu（x,u,v） in Ω -div（h2（x）｜△u｜q-2△v）=f（x）｜v｜s-2v＋Gv（x,u,v） in Ω, u=v=0 on δΩ where Ω is a bounded domain in RN with smooth boundary δΩ, N ≥ 2, 1 〈 r 〈 p ∞, 1〈 s 〈 q 〈 ∞; h1（x） and h2（x） are allowed to have ＂essential＂ zeroes at some points in Ω; d（x）｜u｜r-2u and f（x）｜v｜s-2v are small sources with Gu（x,u,v）, Gv（x,u,v） being their high-order perturbations with respect to （u, v） near the origin, respectively.展开更多
We study the multiplication operator M by z2 and the q-Bessel operator Δq,αon a Hilbert spaces Fq,α of entire functions on the disk D( o, ) , 0qq,α into itself. Next, we study a generalized translation operators o...We study the multiplication operator M by z2 and the q-Bessel operator Δq,αon a Hilbert spaces Fq,α of entire functions on the disk D( o, ) , 0qq,α into itself. Next, we study a generalized translation operators on Fq,α .展开更多
文摘Formany years,researchers have explored power allocation(PA)algorithms driven bymodels in wireless networks where multiple-user communications with interference are present.Nowadays,data-driven machine learning methods have become quite popular in analyzing wireless communication systems,which among them deep reinforcement learning(DRL)has a significant role in solving optimization issues under certain constraints.To this purpose,in this paper,we investigate the PA problem in a k-user multiple access channels(MAC),where k transmitters(e.g.,mobile users)aim to send an independent message to a common receiver(e.g.,base station)through wireless channels.To this end,we first train the deep Q network(DQN)with a deep Q learning(DQL)algorithm over the simulation environment,utilizing offline learning.Then,the DQN will be used with the real data in the online training method for the PA issue by maximizing the sumrate subjected to the source power.Finally,the simulation results indicate that our proposedDQNmethod provides better performance in terms of the sumrate compared with the available DQL training approaches such as fractional programming(FP)and weighted minimum mean squared error(WMMSE).Additionally,by considering different user densities,we show that our proposed DQN outperforms benchmark algorithms,thereby,a good generalization ability is verified over wireless multi-user communication systems.
基金Supported by NSFC (10571069 and 10631030) the Lap of Mathematical Sciences, CCNU, Hubei Province, China
文摘In this paper, we study the existence of multiple solutions for the following nonlinear elliptic problem of p＆q-Laplacian type involving the critical Sobolev exponent：{-△pu-△qu=│u│^p＊-2u＋μ│u│^r-2u in Ω u│δΩ=0,where Ω belong to R^N is a bounded domain,N〉p,p^＊=Np/N-p is the critical Sobolev exponent and μ 〉0. We prove that if 1 〈 r 〈 q 〈 p 〈 N, then there is a μ0 〉 0, such that for any μ∈ （0, μ0）, the above mentioned problem possesses infinitely many weak solutions. Our result generalizes a similar result in [8] for p-Laplacian type problem.
文摘Coenzyme Q10(Co Q10) is an essential cofactor in the mitochondrial respiratory pathway and also functions as a lipid-soluble antioxidant. Co Q10 deficiency has been implicated in many clinical disorders and aging. Primary Co Q10 deficiency is a group of recessively inherited diseases caused by mutations in any gene involved in the Co Q10 biosynthesis pathway. Although primary Co Q10 deficiency is rare, its diagnosis is important because it is potentially treatable with exogenous Co Q10. Multiple system atrophy(MSA) was recently shown to be linked to mutations in the COQ2 gene, one of the genes involved in the Co Q10 biosynthesis pathway. MSA is relatively common in adult-onset neurodegenerative diseases characterized by Parkinsonism, cerebellar ataxia and autonomic failures. Because COQ2 mutations are associated with an increased risk of MSA, oral Co Q10 supplementation may be beneficial for MSA, as for other primary Co Q10 deficiencies. Statins are 3-hydroxy-3-methylglutaryl coenzyme A inhibitors that inhibit the biosynthesis of cholesterol, as well as the synthesis of mevalonate, a critical intermediate in cholesterol synthesis. Statin therapy has been associ-ated with a variety of muscle complaints from myalgia to rhabdomyolysis. Statin treatment carries a potential risk of Co Q10 deficiency, although no definite evidence has implicated CQ10 deficiency as the cause of statinrelated myopathy.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11174116 and 11175075)
文摘In this paper, we present a simple theoretical approach to calculate the multiple ionization of big atoms and molecules induced by very high-q fast projectiles in a strong coupling regime （q/v 〉 1）. The results obtained from this approach are in excellent agreement with the available experimental data. A probable scenario of molecular multiple ionization by fast and very high-q projectiles is discussed. The very small computational time required here and the good agreement with the existing experimental data make it a good candidate for studying the multiple ionization of complex molecules under high linear energy transfers.
文摘In this paper, we extend our previous work of classical over barrier ionization (COBI) model to study the multiple ionization cross section of Ne and CO molecule collided by very high-q fast projectiles(q/v > 1). The model gives similar results to the independent-electron-approximation calculation and is in good agreement with experimental data. The very small computational time required makes it a good candidate for studying the multiple ionization of complex molecules under high linear energy transfers.
基金This study was funded by the National Natural Science Foundation of China(No.81870150)the National Natural Science Foundation of China(No.81670102)the Youth Fund of the Second Hospital of Tianjin Medical University(No.2019 ydey 06).
文摘Multiple myeloma(MM)is a clonal expansion of malignant plasma cells,and comprises approximately 10%of hematologic malignancies.Although various therapeutic agents and strategies,such as immunomodulatory agents,proteasome inhibitors,monoclonal antibodies and hematopoietic stem cell transplantation(HSCT)have been evaluated,MM remains largely incurable.It is therefore important to further explore the risk factors for disease progression,and to design trials aimed at improving the patient outcomes.Previous studies have considered the presence of a gain in 1q21 as a risk factor for a poorer overall survival.Gain of 1q21 is one of the most common chromosomal aberrations in MM,being detected by fluorescence in situ hybridization in 36%to 47%of newly-diagnosed patients,as well as 52%and 62%patients with relapsed MM.Although a series of reports identified 1q21 gain in MM as a significant and independent poor prognostic factor,other studies failed to demonstrate any prognostic value.Thus,the prognostic value of 1q21 gain in MM remains controversial.We reviewed the current knowledge about 1q21 gain and its value for the clinical management of MM.
基金Supported by the National Natural Science Foundation of China(11426122,11371153,and 11361029)the Specialized Research Fund for the Doctoral Program of Higher Education of Chinathe Natural Science Foundation of Jiangxi Province of China(20151BAB211003)
文摘In this article, we study the existence of infinitely many solutions to the degenerate quasilinear elliptic system -div（h1（x）｜△u｜p-2△u）=d（x）｜u｜r-2u＋Gu（x,u,v） in Ω -div（h2（x）｜△u｜q-2△v）=f（x）｜v｜s-2v＋Gv（x,u,v） in Ω, u=v=0 on δΩ where Ω is a bounded domain in RN with smooth boundary δΩ, N ≥ 2, 1 〈 r 〈 p ∞, 1〈 s 〈 q 〈 ∞; h1（x） and h2（x） are allowed to have ＂essential＂ zeroes at some points in Ω; d（x）｜u｜r-2u and f（x）｜v｜s-2v are small sources with Gu（x,u,v）, Gv（x,u,v） being their high-order perturbations with respect to （u, v） near the origin, respectively.
文摘We study the multiplication operator M by z2 and the q-Bessel operator Δq,αon a Hilbert spaces Fq,α of entire functions on the disk D( o, ) , 0qq,α into itself. Next, we study a generalized translation operators on Fq,α .
