The aim of this research paper is to derive two extension formulas for Lauricella’s function of the second kind of several variables with the help of generalized Dixon’s theorem on the sum of the series obtain...The aim of this research paper is to derive two extension formulas for Lauricella’s function of the second kind of several variables with the help of generalized Dixon’s theorem on the sum of the series obtained by Lavoie et al. [1]. Some special cases of these formulas are also deduced.展开更多
In this paper, as a natural extension of the Rényi formula which counts labeled connected unicyclic graphs, we present a formula for the number of labeled（k ＋ 1）-uniform（p, q）-unicycles as follows：U（k＋1）...In this paper, as a natural extension of the Rényi formula which counts labeled connected unicyclic graphs, we present a formula for the number of labeled（k ＋ 1）-uniform（p, q）-unicycles as follows：U（k＋1）p, q={p!/2[（k-1）!]^q·∑t=2q（q^（q-t-1）· sgn（tk- 2））/（q- t）!, p = qk,0, p≠qk,where k, p, q are positive integers.展开更多
The reduction of power consumption is important for wireless communications and networks.To develop the energy-saving technologies for future wireless transmissions and networks,this paper presents two basic study poi...The reduction of power consumption is important for wireless communications and networks.To develop the energy-saving technologies for future wireless transmissions and networks,this paper presents two basic study points:1)The multiple events are merged into a single event;2)the high-order mode is changed to the low-order mode.For this rea⁃son,we seek that multiple events in wireless transmission links are fused into a single event from Shannon formulas.We also analyze the relationship between the information modula⁃tion and the error correction,and give a fusion structure of error-corrected modulation.The energy-saving performance of the error-corrected modulation method is further analyzed through comparison with the traditional methods of modulation plus error correction.The re⁃sults of numerical analysis demonstrate the wireless energy saving methods for wireless sys⁃tems based on Shannon formulas are the achievable efficient schemes.展开更多
文摘The aim of this research paper is to derive two extension formulas for Lauricella’s function of the second kind of several variables with the help of generalized Dixon’s theorem on the sum of the series obtained by Lavoie et al. [1]. Some special cases of these formulas are also deduced.
基金Supported by the National Natural Science Foundation of China(Grant No.11501139)
文摘In this paper, as a natural extension of the Rényi formula which counts labeled connected unicyclic graphs, we present a formula for the number of labeled（k ＋ 1）-uniform（p, q）-unicycles as follows：U（k＋1）p, q={p!/2[（k-1）!]^q·∑t=2q（q^（q-t-1）· sgn（tk- 2））/（q- t）!, p = qk,0, p≠qk,where k, p, q are positive integers.
基金This work was supported by National Natural Science Foundation of Chi⁃na(NSFC)under Grant No.61631018.
文摘The reduction of power consumption is important for wireless communications and networks.To develop the energy-saving technologies for future wireless transmissions and networks,this paper presents two basic study points:1)The multiple events are merged into a single event;2)the high-order mode is changed to the low-order mode.For this rea⁃son,we seek that multiple events in wireless transmission links are fused into a single event from Shannon formulas.We also analyze the relationship between the information modula⁃tion and the error correction,and give a fusion structure of error-corrected modulation.The energy-saving performance of the error-corrected modulation method is further analyzed through comparison with the traditional methods of modulation plus error correction.The re⁃sults of numerical analysis demonstrate the wireless energy saving methods for wireless sys⁃tems based on Shannon formulas are the achievable efficient schemes.
