This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specific...This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specifically the Robin inequality and the Riemann hypothesis. The exploration of using invariant properties of these functions to derive insights into twin primes and sequential primes is a potentially innovative concept that deserves careful consideration by the mathematical community.展开更多
以某型无人直升机为仿真对象设计了一款飞行模拟系统,该系统由飞行仿真模块、座舱仿真模块、视景仿真模块和控制台模块4部分组成。飞行仿真模块对旋翼、尾桨、机身、平尾、垂尾等各部件进行动力学建模,并使用S函数编写了Simulink模块;...以某型无人直升机为仿真对象设计了一款飞行模拟系统,该系统由飞行仿真模块、座舱仿真模块、视景仿真模块和控制台模块4部分组成。飞行仿真模块对旋翼、尾桨、机身、平尾、垂尾等各部件进行动力学建模,并使用S函数编写了Simulink模块;座舱仿真模块使用GL Studio软件设计了照片级的飞行仪表用于实时显示飞行数据;视景仿真模块是基于Vega Prime仿真平台二次开发的;采用基于MFC(microsoft foundation classes)的多线程方法搭建了基本的仿真框架并设计了控制台模块界面,可以用于和用户的实时交互。最后仿真验证了系统的可行性。展开更多
The conjecture of twin prime numbers is a mathematical problem. Proving the twin prime conjecture using traditional modern number theory is extremely profound and complex. We propose an elementary research method for ...The conjecture of twin prime numbers is a mathematical problem. Proving the twin prime conjecture using traditional modern number theory is extremely profound and complex. We propose an elementary research method for corresponding prime number, proved that the conjecture of twin prime numbers and obtain the corresponding prime distribution equation. According to the distribution rate of corresponding prime numbers, the distribution pattern of twin prime numbers was proved the distribution rate theorem. This is the distribution rate of prime numbers corresponding to composite numbers, which approaches the distribution rate of prime numbers corresponding to integers. Based on the corresponding prime distribution equation, obtain the twin prime inequality function. Then, the formula for calculating twin prime numbers was discussed. There is also the Hardy Littlewood conjecture. This provides a practical and feasible approach for studying the distribution of twin prime numbers.展开更多
In Riemann’s prime distribution formula, there is a key Riemann ladder function. This is the basis for Riemann to study the distribution of prime numbers. But the calculation of Riemann’s ladder function is very com...In Riemann’s prime distribution formula, there is a key Riemann ladder function. This is the basis for Riemann to study the distribution of prime numbers. But the calculation of Riemann’s ladder function is very complicated. According to the definition of Riemannian ladder function, we greatly improve the Riemannian ladder function, obtain new ladder function and improved Riemannian prime distribution formula, and prove the improved Riemannian prime distribution formula. We use the improved Riemannian prime distribution formula and merdens theorem to obtain a strong prime theorem.展开更多
We use B. Randol’s method to improve the error term in the prime geodesic theorem for a noncompact Riemann surface having at least one cusp. The case considered is a general one, corresponding to a Fuchsian group of ...We use B. Randol’s method to improve the error term in the prime geodesic theorem for a noncompact Riemann surface having at least one cusp. The case considered is a general one, corresponding to a Fuchsian group of the first kind and a multiplier system with a weight on it.展开更多
Properties of the gamma function are examined with implications for the Riemann hypothesis. Some new relations are obtained for the roots of the Zeta function using the properties of the Gamma function, the Bernoulli ...Properties of the gamma function are examined with implications for the Riemann hypothesis. Some new relations are obtained for the roots of the Zeta function using the properties of the Gamma function, the Bernoulli function, and limitations imposed by the rational relations of the complex roots of the Riemann zeta function, and the rational relations of the complex Gamma functions.展开更多
研究著名的Smarandache素数可加补函数SPAC(n)的均值1/n sum from a=1 to n SPAC(a)的敛散性.利用初等及解析方法,给出了均值1/n sum from a=1 to n SPAC(a)一个较强的下界估计.证明均值1/n sum from a=1 to n SPAC(a)是发散的,从而解...研究著名的Smarandache素数可加补函数SPAC(n)的均值1/n sum from a=1 to n SPAC(a)的敛散性.利用初等及解析方法,给出了均值1/n sum from a=1 to n SPAC(a)一个较强的下界估计.证明均值1/n sum from a=1 to n SPAC(a)是发散的,从而解决了由数论专家Kenichiro Kashihara提出的一个关于函数SPAC(n)的猜想.展开更多
文摘This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specifically the Robin inequality and the Riemann hypothesis. The exploration of using invariant properties of these functions to derive insights into twin primes and sequential primes is a potentially innovative concept that deserves careful consideration by the mathematical community.
文摘以某型无人直升机为仿真对象设计了一款飞行模拟系统,该系统由飞行仿真模块、座舱仿真模块、视景仿真模块和控制台模块4部分组成。飞行仿真模块对旋翼、尾桨、机身、平尾、垂尾等各部件进行动力学建模,并使用S函数编写了Simulink模块;座舱仿真模块使用GL Studio软件设计了照片级的飞行仪表用于实时显示飞行数据;视景仿真模块是基于Vega Prime仿真平台二次开发的;采用基于MFC(microsoft foundation classes)的多线程方法搭建了基本的仿真框架并设计了控制台模块界面,可以用于和用户的实时交互。最后仿真验证了系统的可行性。
文摘The conjecture of twin prime numbers is a mathematical problem. Proving the twin prime conjecture using traditional modern number theory is extremely profound and complex. We propose an elementary research method for corresponding prime number, proved that the conjecture of twin prime numbers and obtain the corresponding prime distribution equation. According to the distribution rate of corresponding prime numbers, the distribution pattern of twin prime numbers was proved the distribution rate theorem. This is the distribution rate of prime numbers corresponding to composite numbers, which approaches the distribution rate of prime numbers corresponding to integers. Based on the corresponding prime distribution equation, obtain the twin prime inequality function. Then, the formula for calculating twin prime numbers was discussed. There is also the Hardy Littlewood conjecture. This provides a practical and feasible approach for studying the distribution of twin prime numbers.
文摘In Riemann’s prime distribution formula, there is a key Riemann ladder function. This is the basis for Riemann to study the distribution of prime numbers. But the calculation of Riemann’s ladder function is very complicated. According to the definition of Riemannian ladder function, we greatly improve the Riemannian ladder function, obtain new ladder function and improved Riemannian prime distribution formula, and prove the improved Riemannian prime distribution formula. We use the improved Riemannian prime distribution formula and merdens theorem to obtain a strong prime theorem.
文摘We use B. Randol’s method to improve the error term in the prime geodesic theorem for a noncompact Riemann surface having at least one cusp. The case considered is a general one, corresponding to a Fuchsian group of the first kind and a multiplier system with a weight on it.
文摘Properties of the gamma function are examined with implications for the Riemann hypothesis. Some new relations are obtained for the roots of the Zeta function using the properties of the Gamma function, the Bernoulli function, and limitations imposed by the rational relations of the complex roots of the Riemann zeta function, and the rational relations of the complex Gamma functions.
文摘研究著名的Smarandache素数可加补函数SPAC(n)的均值1/n sum from a=1 to n SPAC(a)的敛散性.利用初等及解析方法,给出了均值1/n sum from a=1 to n SPAC(a)一个较强的下界估计.证明均值1/n sum from a=1 to n SPAC(a)是发散的,从而解决了由数论专家Kenichiro Kashihara提出的一个关于函数SPAC(n)的猜想.
