A new uncertain information model, i.e. unascertainment, which is different from randomness,fuzziness and grayness, has been introduced into information fusion to give a reasoning method,which is basedon addition of u...A new uncertain information model, i.e. unascertainment, which is different from randomness,fuzziness and grayness, has been introduced into information fusion to give a reasoning method,which is basedon addition of unascertained rational number and can be used to recognize spatial point targets. The validity ofthe method proposed is verified through an example.展开更多
Under very weak condition 0 × r(f) ↑ ∞, t→ ∞, we obtain a series of equivalent conditions of complete convergence for maxima of m-dimensional products of iid random variables, which provide a useful tool for ...Under very weak condition 0 × r(f) ↑ ∞, t→ ∞, we obtain a series of equivalent conditions of complete convergence for maxima of m-dimensional products of iid random variables, which provide a useful tool for researching this class of questions. Some results on strong law of large numbers are given such that our results are much stronger than the corresponding result of Gadidov’s.展开更多
Ⅰ. INTRODUCTION At the 1978 ICM conference held in Helsinki, Ap?ry gave a proof of ζ(3)=Σ1/N^3 being irrational. For this purpose he introduced the numbers α_n (n≥0) defined by recurrence
In this paper, we characterize the odd positive integers n satisfying the congruence ∑j=1^n-1 j n-1/2 We show that the set of such positive integers has an asymptotic densitywhich turns out to be slightly larger than...In this paper, we characterize the odd positive integers n satisfying the congruence ∑j=1^n-1 j n-1/2 We show that the set of such positive integers has an asymptotic densitywhich turns out to be slightly larger than 3/8.展开更多
In this paper, we derive the bright and dark photon number states for spatial interference of two or more light beams and succeed in the explanation of Young's interference experiment, and also achieve a better co...In this paper, we derive the bright and dark photon number states for spatial interference of two or more light beams and succeed in the explanation of Young's interference experiment, and also achieve a better comprehension of the well known comment of Dirac 'each photon only interferences with itself'. Prom the fully quantum point of view, the origin of the interference fringes consists in the mode transformation and the detection of double-slit states.展开更多
The cycle coatrol function is defined and used to estimate tbe number of limit cycles for someplanar autonomous systems. Some sufficient conditions for the existence of no or at most one limitcycles are given.
In this paper, we consider the stochastic Dirac operatoron a polish space (Ω,β, P). The relation between the Lyapunov index, rotation number andthe spectrum of Lis discussed. The existence of the Lyapunov index and ...In this paper, we consider the stochastic Dirac operatoron a polish space (Ω,β, P). The relation between the Lyapunov index, rotation number andthe spectrum of Lis discussed. The existence of the Lyapunov index and rotation number isshown. By using the W-T functions and W-function we prove the theorems for Las in Kotani[1], [2] for Schrodinger operatorB, and in Johnson [5] for Dirac operators on compact space.展开更多
It has been proved that every positive integer is expressible as a sum of no more than eight pyramidal numbers P(m)=(m-1)m(m+1)/6.This paper reports on a computer calculation of the partition of integers from n=1 to 1...It has been proved that every positive integer is expressible as a sum of no more than eight pyramidal numbers P(m)=(m-1)m(m+1)/6.This paper reports on a computer calculation of the partition of integers from n=1 to 109 into pyramidal numbers.We find that no integer≤10°needs more than five pyramidal numbers for its partition,and only 241 of them do need five.We define J(n) as the least number of pyramidal numbers to partition n,and Nk(n) as the number of positive integers l less than or equal to n for which J(l)=k.Based on our numerical results we make conjectures about the asymptotic form of Nk(n) for n→∞展开更多
Ⅰ. INTRODUCTION Let K be an algebraic number field of degree n. Let K1,…, Km denote n conjugate fields of K, Ki （1≤i≤r1） being real and Ki, Ki+r2 （r1+1≤i≤r1+γ2） conjugate complex, where r1,+2r2=n. For γ∈K...Ⅰ. INTRODUCTION Let K be an algebraic number field of degree n. Let K1,…, Km denote n conjugate fields of K, Ki （1≤i≤r1） being real and Ki, Ki+r2 （r1+1≤i≤r1+γ2） conjugate complex, where r1,+2r2=n. For γ∈K, we denote by γi （1≤i≤n） the conjugates of γ. Let γ（1≤i≤n） be numbers of K and xi（1≤i≤n） be real numbers. We展开更多
In the present paper, we focus on constructive spherical codes. By employing algebraic geometry codes, we give an explicit construction of spherical code sequences. By making use of the idea involved in the proof of t...In the present paper, we focus on constructive spherical codes. By employing algebraic geometry codes, we give an explicit construction of spherical code sequences. By making use of the idea involved in the proof of the Gilbert-Varshamov bound in coding theory, we construct a spherical code sequence in exponential time which meets the best-known asymptotic bound by Shamsiev and Wyner.展开更多
(1) Let a, b, c, n be positive integers. Suppose the greatest common divisor of a, b, c is 1. Let N(a, b, c, n) denote the number of solutions (x, y, z) of the diophantine
How many lower solutions does a finite fuzzy relation equation have? E. Czogala and others have given an estimation to upper bound in Ref. (2)In this paper, an exact formula of the number of lower solutions of the fin...How many lower solutions does a finite fuzzy relation equation have? E. Czogala and others have given an estimation to upper bound in Ref. (2)In this paper, an exact formula of the number of lower solutions of the finite fuzzy relation展开更多
This paper is a continuation of (la)We use the Leray-Schauder degree theory to investigate the number of nontrivial solutions of the Hammerstein integral equation (1) where G is a bounded closed domain in Euclidean sp...This paper is a continuation of (la)We use the Leray-Schauder degree theory to investigate the number of nontrivial solutions of the Hammerstein integral equation (1) where G is a bounded closed domain in Euclidean space R^N and function f(u) is nonnegative and continuous for 0≤u<+∞ and f(0)=0. Obviously, φ(x)≡0 is展开更多
目的确保物品包装上的超高频射频识别(Radio Frequency Identification,RFID)标签一致性关键指标符合相关标准,解决现有文献对一致性关键指标阐述不全面的问题,基于ISO/IEC 18000-63和ISO/IEC 18047-63对一致性关键指标的测试方法展开...目的确保物品包装上的超高频射频识别(Radio Frequency Identification,RFID)标签一致性关键指标符合相关标准,解决现有文献对一致性关键指标阐述不全面的问题,基于ISO/IEC 18000-63和ISO/IEC 18047-63对一致性关键指标的测试方法展开研究。方法在对现有一致性测试方法进行研究阐述的基础上,改进了状态跳转和截断响应的测试方法,提升了测试准确性;设计了一种时隙计数器测试方法,该方法通过改变Q值和重复发送QueryRep命令,验证时隙计数器在非0到0的变化过程中,标签有且仅有一次响应,从而避免出现多个标签同时应答的现象。结果应用改进及新设计的测试方法对指定标签进行测试,结果符合标准。结论较为全面地实现了对RFID标签的客观验证和有效评估,对提升RFID标签在实际应用中的可靠性具有重要意义。展开更多
文摘A new uncertain information model, i.e. unascertainment, which is different from randomness,fuzziness and grayness, has been introduced into information fusion to give a reasoning method,which is basedon addition of unascertained rational number and can be used to recognize spatial point targets. The validity ofthe method proposed is verified through an example.
文摘Under very weak condition 0 × r(f) ↑ ∞, t→ ∞, we obtain a series of equivalent conditions of complete convergence for maxima of m-dimensional products of iid random variables, which provide a useful tool for researching this class of questions. Some results on strong law of large numbers are given such that our results are much stronger than the corresponding result of Gadidov’s.
文摘Ⅰ. INTRODUCTION At the 1978 ICM conference held in Helsinki, Ap?ry gave a proof of ζ(3)=Σ1/N^3 being irrational. For this purpose he introduced the numbers α_n (n≥0) defined by recurrence
文摘In this paper, we characterize the odd positive integers n satisfying the congruence ∑j=1^n-1 j n-1/2 We show that the set of such positive integers has an asymptotic densitywhich turns out to be slightly larger than 3/8.
文摘In this paper, we derive the bright and dark photon number states for spatial interference of two or more light beams and succeed in the explanation of Young's interference experiment, and also achieve a better comprehension of the well known comment of Dirac 'each photon only interferences with itself'. Prom the fully quantum point of view, the origin of the interference fringes consists in the mode transformation and the detection of double-slit states.
文摘The cycle coatrol function is defined and used to estimate tbe number of limit cycles for someplanar autonomous systems. Some sufficient conditions for the existence of no or at most one limitcycles are given.
文摘In this paper, we consider the stochastic Dirac operatoron a polish space (Ω,β, P). The relation between the Lyapunov index, rotation number andthe spectrum of Lis discussed. The existence of the Lyapunov index and rotation number isshown. By using the W-T functions and W-function we prove the theorems for Las in Kotani[1], [2] for Schrodinger operatorB, and in Johnson [5] for Dirac operators on compact space.
基金Project partially supported by the Applied Mathematics Subprogram of the U.S. Department of Energy DE-FG02-90ER25084partially supported by NSF PHY CAP 91-08054
文摘It has been proved that every positive integer is expressible as a sum of no more than eight pyramidal numbers P(m)=(m-1)m(m+1)/6.This paper reports on a computer calculation of the partition of integers from n=1 to 109 into pyramidal numbers.We find that no integer≤10°needs more than five pyramidal numbers for its partition,and only 241 of them do need five.We define J(n) as the least number of pyramidal numbers to partition n,and Nk(n) as the number of positive integers l less than or equal to n for which J(l)=k.Based on our numerical results we make conjectures about the asymptotic form of Nk(n) for n→∞
文摘Ⅰ. INTRODUCTION Let K be an algebraic number field of degree n. Let K1,…, Km denote n conjugate fields of K, Ki （1≤i≤r1） being real and Ki, Ki+r2 （r1+1≤i≤r1+γ2） conjugate complex, where r1,+2r2=n. For γ∈K, we denote by γi （1≤i≤n） the conjugates of γ. Let γ（1≤i≤n） be numbers of K and xi（1≤i≤n） be real numbers. We
文摘In the present paper, we focus on constructive spherical codes. By employing algebraic geometry codes, we give an explicit construction of spherical code sequences. By making use of the idea involved in the proof of the Gilbert-Varshamov bound in coding theory, we construct a spherical code sequence in exponential time which meets the best-known asymptotic bound by Shamsiev and Wyner.
文摘(1) Let a, b, c, n be positive integers. Suppose the greatest common divisor of a, b, c is 1. Let N(a, b, c, n) denote the number of solutions (x, y, z) of the diophantine
文摘How many lower solutions does a finite fuzzy relation equation have? E. Czogala and others have given an estimation to upper bound in Ref. (2)In this paper, an exact formula of the number of lower solutions of the finite fuzzy relation
文摘This paper is a continuation of (la)We use the Leray-Schauder degree theory to investigate the number of nontrivial solutions of the Hammerstein integral equation (1) where G is a bounded closed domain in Euclidean space R^N and function f(u) is nonnegative and continuous for 0≤u<+∞ and f(0)=0. Obviously, φ(x)≡0 is
文摘目的确保物品包装上的超高频射频识别(Radio Frequency Identification,RFID)标签一致性关键指标符合相关标准,解决现有文献对一致性关键指标阐述不全面的问题,基于ISO/IEC 18000-63和ISO/IEC 18047-63对一致性关键指标的测试方法展开研究。方法在对现有一致性测试方法进行研究阐述的基础上,改进了状态跳转和截断响应的测试方法,提升了测试准确性;设计了一种时隙计数器测试方法,该方法通过改变Q值和重复发送QueryRep命令,验证时隙计数器在非0到0的变化过程中,标签有且仅有一次响应,从而避免出现多个标签同时应答的现象。结果应用改进及新设计的测试方法对指定标签进行测试,结果符合标准。结论较为全面地实现了对RFID标签的客观验证和有效评估,对提升RFID标签在实际应用中的可靠性具有重要意义。
