In this paper, we investigate HUA’s Theorem for short intervals under GRH. Let E k(x)=#{{n≤x;2|n,k is odd, n≠p 1+p k 2}∪{n≤x;2|n,2|k,(p-1)|k, n1(modp),n≠p 1+p k 2}}. Assume GRH. For any k≥2, any A】0 ...In this paper, we investigate HUA’s Theorem for short intervals under GRH. Let E k(x)=#{{n≤x;2|n,k is odd, n≠p 1+p k 2}∪{n≤x;2|n,2|k,(p-1)|k, n1(modp),n≠p 1+p k 2}}. Assume GRH. For any k≥2, any A】0 and any 0【ε【14,E k(x+H)-E k(x)≤H(log x) -Aholds for x 12-14k+ε≤H≤x, here the implies constant depends at most on A and ε.展开更多
To observe the effects of closed reduction and percutaneous K wires fixation of displacd supracondylar humerus fracture in children MethodsRetrospective review of fourteen patients who s...To observe the effects of closed reduction and percutaneous K wires fixation of displacd supracondylar humerus fracture in children MethodsRetrospective review of fourteen patients who sustained displaced supracondylar fracture of distal humerus treated by closed reduction and percutaneous K wires fixation Results. All patients’ K wires were removed at 4 weeks post operation Their elbow function regained at 8 weeks The average period of followed up was 10 month (varies from 6 to 18 month), all fractures healed very well without any permanent complications Two transient nerves palsy,ulnar and radial nerve each, recovered completely at 12 weeks and 16 weeks post operation respectively Conclusion. Closed reduction and percutaneous K wires fixation is a safe and efficient treatment for displaced humerus surpracondylar fracture in children展开更多
Most clustering algorithms need to describe the similarity of objects by a predefined distance function. Three distance functions which are widely used in two traditional clustering algorithms k-means and hierarchical...Most clustering algorithms need to describe the similarity of objects by a predefined distance function. Three distance functions which are widely used in two traditional clustering algorithms k-means and hierarchical clustering were investigated. Both theoretical analysis and detailed experimental results were given. It is shown that a distance function greatly affects clustering results and can be used to detect the outlier of a cluster by the comparison of such different results and give the shape information of clusters. In practice situation, it is suggested to use different distance function separately, compare the clustering results and pick out the 搒wing points? And such points may leak out more information for data analysts.展开更多
文摘In this paper, we investigate HUA’s Theorem for short intervals under GRH. Let E k(x)=#{{n≤x;2|n,k is odd, n≠p 1+p k 2}∪{n≤x;2|n,2|k,(p-1)|k, n1(modp),n≠p 1+p k 2}}. Assume GRH. For any k≥2, any A】0 and any 0【ε【14,E k(x+H)-E k(x)≤H(log x) -Aholds for x 12-14k+ε≤H≤x, here the implies constant depends at most on A and ε.
文摘To observe the effects of closed reduction and percutaneous K wires fixation of displacd supracondylar humerus fracture in children MethodsRetrospective review of fourteen patients who sustained displaced supracondylar fracture of distal humerus treated by closed reduction and percutaneous K wires fixation Results. All patients’ K wires were removed at 4 weeks post operation Their elbow function regained at 8 weeks The average period of followed up was 10 month (varies from 6 to 18 month), all fractures healed very well without any permanent complications Two transient nerves palsy,ulnar and radial nerve each, recovered completely at 12 weeks and 16 weeks post operation respectively Conclusion. Closed reduction and percutaneous K wires fixation is a safe and efficient treatment for displaced humerus surpracondylar fracture in children
文摘Most clustering algorithms need to describe the similarity of objects by a predefined distance function. Three distance functions which are widely used in two traditional clustering algorithms k-means and hierarchical clustering were investigated. Both theoretical analysis and detailed experimental results were given. It is shown that a distance function greatly affects clustering results and can be used to detect the outlier of a cluster by the comparison of such different results and give the shape information of clusters. In practice situation, it is suggested to use different distance function separately, compare the clustering results and pick out the 搒wing points? And such points may leak out more information for data analysts.
