Framed links in thickened torus are studied. We define the mod 2 Kauffman bracket skein module of thickened torus and give an expression of a framed link in this module. From this expression we propose a new ambient i...Framed links in thickened torus are studied. We define the mod 2 Kauffman bracket skein module of thickened torus and give an expression of a framed link in this module. From this expression we propose a new ambient isotopic invariant of framed links.展开更多
Alzheimer＇s disease（AD）is a devastating neurodegenerative disorder and the most common form of old-age dementia.The disease is characterized by a progressive decline in cognitive functions,gradual loss of memory an...Alzheimer＇s disease（AD）is a devastating neurodegenerative disorder and the most common form of old-age dementia.The disease is characterized by a progressive decline in cognitive functions,gradual loss of memory and ability to perform everyday activities,and leads to inevitable death within 3 to 9 years atter diagnosis.展开更多
为了方便工业界和商贸领域,选用不同厂家生产的PTT-PET自卷曲长丝制作成绞丝,根据之前筛选的最佳热处理工艺,设计了数种方法计算绞丝弹性伸长率,与相同热处理后的单根长丝弹性及成熟工艺制造的织物弹性进行相关性分析,确定出一种快速准...为了方便工业界和商贸领域,选用不同厂家生产的PTT-PET自卷曲长丝制作成绞丝,根据之前筛选的最佳热处理工艺,设计了数种方法计算绞丝弹性伸长率,与相同热处理后的单根长丝弹性及成熟工艺制造的织物弹性进行相关性分析,确定出一种快速准确的自卷曲丝弹性测试方法:绞丝经120℃干热处理8 min后测试负荷—伸长曲线;负荷—伸长曲线上以0.010 c N/dtex应力下的横坐标作为弹力起始点,以平行于断裂点与起始点连线的直线与拉伸曲线的切点作为弹力终点,计算弹性伸长率所需的绞丝弹性伸长量为起始点与终结点之间的伸长,绞丝原长为起始点对应的绞丝长度,测试绞数为10绞。展开更多
From the basic properties of skein systems, we build a generalized tangle algebra (GTA). The elements of GTA are four basic tangles. There are three operations, which are connection, splicing and scalar multiplication...From the basic properties of skein systems, we build a generalized tangle algebra (GTA). The elements of GTA are four basic tangles. There are three operations, which are connection, splicing and scalar multiplication. From GTA we derive two generalized recursion formulae (GRF) and prove the existence of a generalized skein relation which satisfies GRF. The obtained generalized skein relation epitomizes all generalizations from the Jones polynomial and thus forms a unified model. Two important topological parameters, twisting measure and loop values, appear explicitly in the expressions of the unified model, and this fact greatly simplifies the operations.展开更多
基金Guangdong Province Innovation Talent Project (2015KQNCX107) for YouthsGuangdong University of Education special fund (2016ARF06) for doctoral research
文摘Framed links in thickened torus are studied. We define the mod 2 Kauffman bracket skein module of thickened torus and give an expression of a framed link in this module. From this expression we propose a new ambient isotopic invariant of framed links.
文摘Alzheimer＇s disease（AD）is a devastating neurodegenerative disorder and the most common form of old-age dementia.The disease is characterized by a progressive decline in cognitive functions,gradual loss of memory and ability to perform everyday activities,and leads to inevitable death within 3 to 9 years atter diagnosis.
文摘为了方便工业界和商贸领域,选用不同厂家生产的PTT-PET自卷曲长丝制作成绞丝,根据之前筛选的最佳热处理工艺,设计了数种方法计算绞丝弹性伸长率,与相同热处理后的单根长丝弹性及成熟工艺制造的织物弹性进行相关性分析,确定出一种快速准确的自卷曲丝弹性测试方法:绞丝经120℃干热处理8 min后测试负荷—伸长曲线;负荷—伸长曲线上以0.010 c N/dtex应力下的横坐标作为弹力起始点,以平行于断裂点与起始点连线的直线与拉伸曲线的切点作为弹力终点,计算弹性伸长率所需的绞丝弹性伸长量为起始点与终结点之间的伸长,绞丝原长为起始点对应的绞丝长度,测试绞数为10绞。
文摘From the basic properties of skein systems, we build a generalized tangle algebra (GTA). The elements of GTA are four basic tangles. There are three operations, which are connection, splicing and scalar multiplication. From GTA we derive two generalized recursion formulae (GRF) and prove the existence of a generalized skein relation which satisfies GRF. The obtained generalized skein relation epitomizes all generalizations from the Jones polynomial and thus forms a unified model. Two important topological parameters, twisting measure and loop values, appear explicitly in the expressions of the unified model, and this fact greatly simplifies the operations.
