我们知道当a∈Z,b∈Z＋,m,n∈Z-时,abn±1与abm±1均为一类特殊整数,如费马数Fn=22n＋1（n∈Z-）就是一例,梅森数Mm=2bm-1（b∈Z＋,m∈Z＋）也是一例,因而,当a∈n m Z,b∈Z＋,m,n∈Z-时,求相关最大公约数（abn±1,abm±...我们知道当a∈Z,b∈Z＋,m,n∈Z-时,abn±1与abm±1均为一类特殊整数,如费马数Fn=22n＋1（n∈Z-）就是一例,梅森数Mm=2bm-1（b∈Z＋,m∈Z＋）也是一例,因而,当a∈n m Z,b∈Z＋,m,n∈Z-时,求相关最大公约数（abn±1,abm±1）也就显得十分重要了.下面先给出5个预备定理.预备定理1若a,b,q,r∈Z,a与b不同为零,a=bq＋r,则：（1）a与b的约数和b与r的约数相同;（2）（a,展开更多
子宫内膜癌是目前最常见的妇科肿瘤之一,发病率和病死率在全球范围内均呈上升趋势。2022年全球新发子宫内膜癌病例42万例,存在显著的地域差异[1];中国每年新发病例约为8万例,预计2020—2030年发病率将从6.90/10万上升至11.72/10万,死亡...子宫内膜癌是目前最常见的妇科肿瘤之一,发病率和病死率在全球范围内均呈上升趋势。2022年全球新发子宫内膜癌病例42万例,存在显著的地域差异[1];中国每年新发病例约为8万例,预计2020—2030年发病率将从6.90/10万上升至11.72/10万,死亡率也将小幅增高[2]。2013年癌症基因组图谱(TCGA)基于多组学研究提出一种全面的分子分型,将子宫内膜癌分为4个不同类别:DNA聚合酶ε(polymerase epsilon,POLE)超突变型(POLEmut)、微卫星不稳定型(microsatellite instability-high,MSI-H)或错配修复缺陷型(mismatch repair-deficient,MMRd)、体细胞低拷贝数(copy number low,CNL)或非特异性分子谱型(no specific molecular profile,NSMP)、体细胞高拷贝数(copy number high,CNH)或p53异常型(p53abn)。4个类别对应不同的预后与结局,POLEmut型通常预后最好,p53abn型预后最差,余两类预后中等[3]。作为传统的分类标准,组织学类型是重要的独立预后标志物;然而,组织病理学分类鉴别难度大且重复性差,相同组织学类型的基因谱存在异质性,利用分子分型能够简洁明确地进一步行风险分层,具有重要的诊断、预后和治疗意义。展开更多
Aliphatic hyperbranched poly(ester amine)s with terminal acrylate groups were synthesized by Michael addition reaction between pizine and trimethylol propanetriacrylate (TMPTA) under various molar ratios, and their st...Aliphatic hyperbranched poly(ester amine)s with terminal acrylate groups were synthesized by Michael addition reaction between pizine and trimethylol propanetriacrylate (TMPTA) under various molar ratios, and their structures were characterized by 1H NMR,GPC and DSC analysis.The multi peaks within δ 4.04～4.18 (RCH 2OCOR′) in the 1H NMR spectra were analyzed and the peaks at δ 4.15, δ 4 06～4 07 and δ 4.04 can be assigned to terminal ( T ),linear ( L ) and dendritic units ( D ),respectively.Based on 1H NMR spectra,the degree of branching ( DB) for these polymers were calculated by using both the Fréchet method and the Frey method.With the molar ratio between pizine and TMPTA increased to 1/1,the terminate units decreased,both of the dendritic and linear units increased,while M n and M w/ M n became large and the T g value became high,accordingly.Moreover,cured films were obtained through UV radiation of the polymers.The gel contents for the films decreased with increasing the molar ratio between pizine and TMPTA,which may account for the changes of their mechanical properties.展开更多
文摘我们知道当a∈Z,b∈Z＋,m,n∈Z-时,abn±1与abm±1均为一类特殊整数,如费马数Fn=22n＋1（n∈Z-）就是一例,梅森数Mm=2bm-1（b∈Z＋,m∈Z＋）也是一例,因而,当a∈n m Z,b∈Z＋,m,n∈Z-时,求相关最大公约数（abn±1,abm±1）也就显得十分重要了.下面先给出5个预备定理.预备定理1若a,b,q,r∈Z,a与b不同为零,a=bq＋r,则：（1）a与b的约数和b与r的约数相同;（2）（a,
文摘子宫内膜癌是目前最常见的妇科肿瘤之一,发病率和病死率在全球范围内均呈上升趋势。2022年全球新发子宫内膜癌病例42万例,存在显著的地域差异[1];中国每年新发病例约为8万例,预计2020—2030年发病率将从6.90/10万上升至11.72/10万,死亡率也将小幅增高[2]。2013年癌症基因组图谱(TCGA)基于多组学研究提出一种全面的分子分型,将子宫内膜癌分为4个不同类别:DNA聚合酶ε(polymerase epsilon,POLE)超突变型(POLEmut)、微卫星不稳定型(microsatellite instability-high,MSI-H)或错配修复缺陷型(mismatch repair-deficient,MMRd)、体细胞低拷贝数(copy number low,CNL)或非特异性分子谱型(no specific molecular profile,NSMP)、体细胞高拷贝数(copy number high,CNH)或p53异常型(p53abn)。4个类别对应不同的预后与结局,POLEmut型通常预后最好,p53abn型预后最差,余两类预后中等[3]。作为传统的分类标准,组织学类型是重要的独立预后标志物;然而,组织病理学分类鉴别难度大且重复性差,相同组织学类型的基因谱存在异质性,利用分子分型能够简洁明确地进一步行风险分层,具有重要的诊断、预后和治疗意义。
文摘Aliphatic hyperbranched poly(ester amine)s with terminal acrylate groups were synthesized by Michael addition reaction between pizine and trimethylol propanetriacrylate (TMPTA) under various molar ratios, and their structures were characterized by 1H NMR,GPC and DSC analysis.The multi peaks within δ 4.04～4.18 (RCH 2OCOR′) in the 1H NMR spectra were analyzed and the peaks at δ 4.15, δ 4 06～4 07 and δ 4.04 can be assigned to terminal ( T ),linear ( L ) and dendritic units ( D ),respectively.Based on 1H NMR spectra,the degree of branching ( DB) for these polymers were calculated by using both the Fréchet method and the Frey method.With the molar ratio between pizine and TMPTA increased to 1/1,the terminate units decreased,both of the dendritic and linear units increased,while M n and M w/ M n became large and the T g value became high,accordingly.Moreover,cured films were obtained through UV radiation of the polymers.The gel contents for the films decreased with increasing the molar ratio between pizine and TMPTA,which may account for the changes of their mechanical properties.
