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Subnormality of $S_{2}(a,b,c,d)$ and its Berger measure
Yongjiang Duan,Jiaqi Ni 대한수학회 2016 대한수학회보 Vol.53 No.3
We introduce a 2-variable weighted shift, denoted by $S_2(a,b$, $c,d)$, which arises naturally from analytic function space theory. We investigate when it is subnormal, and compute the Berger measure of it when it is subnormal. And we apply the results to investigate the relationship among 2-variable subnormal, hyponormal and 2-hyponormal weighted shifts.
SUBNORMALITY OF S<sub>2</sub>(a, b, c, d) AND ITS BERGER MEASURE
Duan, Yongjiang,Ni, Jiaqi Korean Mathematical Society 2016 대한수학회보 Vol.53 No.3
We introduce a 2-variable weighted shift, denoted by $S_2$(a, b, c, d), which arises naturally from analytic function space theory. We investigate when it is subnormal, and compute the Berger measure of it when it is subnormal. And we apply the results to investigate the relationship among 2-variable subnormal, hyponormal and 2-hyponormal weighted shifts.
Pengfei Li,Lan Chen,Yan Ni,Jiaqi Liu,Donglin Li,Jianxin Guo,Zhihua Liu,Shuangling Jin,Yan Xu,Zhiqiang Li,Lu Wang,Xiaonong Bin,Jinghe Lang,Ping Liu,Chunlin Chen 대한부인종양학회 2021 Journal of Gynecologic Oncology Vol.32 No.2
Objective: To compare 5-year disease-free survival (DFS) and overall survival (OS) rates oflaparoscopic radical hysterectomy (LRH) and abdominal radical hysterectomy (ARH) forstage IB1 and tumor size <2 cm with visible or invisible tumors. Methods: We retrospectively compared the oncological outcomes of 1,484 cervical cancerpatients with IB1 and tumor size <2 cm on final pathology, who received ARH (n=899) or LRH(n=585) between January 2004 and December 2016. Patients were divided into visible tumorsubgroup (ARH: n=668, LRH: n=444) and invisible tumor subgroup (ARH: n=231, LRH:n=141) according to tumor type. Results: LRH and ARH showed similar 5-year DFS and OS rates (93.3% vs. 93.1%, p=0.997;96.2% vs. 97.5%, p=0.351) in total study population. LRH was not associated with worse5-year DFS rate (hazard ratio [HR]=0.96; 95% confidence interval [CI]=0.58–1.58; p=0.871)or OS rate (HR=1.37; 95% CI=0.65–2.89; p=0.409) by multivariable analysis. In the visibletumor subgroups, LRH and ARH showed similar 5-year DFS and OS rates (91.9% vs. 91.9%,p=0.933; 95.0% vs. 96.9%, p=0.276), and LRH was not associated with worse 5-year DFS orOS rate (p=0.804, p=0.324). In the invisible tumor subgroups, LRH and ARH also showedsimilar 5-year DFS and OS rates (97.3% vs. 97.1%, p=0.815; 100% vs. 99.5%, p=0.449), andLRH was not associated with worse 5-year DFS rate (p=0.723). Conclusions: Among patients with stage IB1 and tumor size <2 cm, whether the tumor isvisible or not, the oncological outcomes of LRH and ARH among cervical cancer patients arecomparable. This suggests that LRH may be suitable for stage IB1 and tumor size <2 cm withvisible or invisible tumors.Trial Registration: International Clinical Trials Registry Platform Identifier: CHiCTR180017778
Fiaz Mahmood,Huasi Hu,Guichi Lu,Si Ni,Jiaqi Yuan 한국원자력학회 2019 Nuclear Engineering and Technology Vol.51 No.4
It is essential to predict the radioactivity distribution around the reactor cooling system (RCS) duringobligatory cyclic operation of AP-1000. A home-developed program CPA-AP1000 is upgraded to predictthe response of activated corrosion products (ACPs) in the RCS. The program is written in MATLAB and ituses state of the art MCNP as a subroutine for flux calculations. A pair of cyclic power profiles weresuperimposed after initial full power operation. The effect of cyclic operation is noticed to be moreprominent for in-core surfaces, followed by the primary coolant and out-of-core structures. The resultshave shown that specific activity trends of 56Mn and 24Na promptly follow the power variations,whereas, 59Fe, 58Co, 99Mo and 60Co exhibit a sluggish power-following response. The investigationspointed out that promptly power-following response of ACPs in the coolant is vital as an instantradioactivity source during leakage incidents. However, the ACPs with delayed power-following responsein the out-of-core components are perceived to cause a long-term activity. The present results are foundin good agreement with those for a reference PWR. The results are useful for source term monitoring andoptimization of work procedures for an innovative reactor design