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Genus two Heegaard splittings of exteriors of 1-genus 1-bridge knots II
Genus two Heegaard splittings exteriors 1-genus 1-bridge knots II
2010/12/3
A knot K is called a 1-genus 1-bridge knot in a 3-manifold M if (M,K) has a Heegaard splitting (V1, t1) ∪ (V2, t2) where Vi is a solid torus and ti is a boundary parallel arc properly embedded in Vi. ...
Genus two Heegaard splittings of exteriors of 1-genus 1-bridge knots
two Heegaard splittings exteriors 1-genus 1-bridge knots
2010/12/3
A knot K in a closed connected orientable 3-manifold M is called a 1-genus 1-bridge knot if (M,K) has a splitting into two pairs of a solid torus Vi (i = 1, 2) and a boundary parallel arc in it. The s...
Using the construction of a nonorientable Curtis-Tits group of type A˜n, we obtain new explicit families of expander graphs of valency five for unitary groups over finite fields.
We generalize our results of [AP2] and [AP3] to the case of maximal dissipative operators. We obtain sharp conditions on a function analytic in the upper half-plane to be operator Lipschitz.
We derive a mesoscopic description of the behavior of a simple financial market where the agents can create their own portfolio between two investment alternatives: a stock and a bond. The model is de...
根据子样本的过程能力指数及其置信区间的估计
标准差 过程能力指数 置信区间
2008/11/25
自1980年以来, 分析过程能力的统计方法有显著的进展, 已在实践中得到大量应用\bd 过程能力指数是衡量生产过程中的产品尺寸适合规格限和接近目标值的能力. 最普遍使用的能力指数是$c_p$和$c_{pk}$,这些指数曾被广泛地应用于日本、美国和英国的各工业公司和企业. 本文对这些指数提出根据子样本估计标准差、能力指数及其置信区间的简单近似方法
本文针对呈正态分布的过程数据, 讨论当过程参数$(\mu,\sigma^2)$已知或未知时单参数变化、双参数变化的过程控制问题. 针对均值未知情况,利用Quesenberry提出的$Q$统计量构造了一系列标准化的CUSUM图;对于方差未知时的复杂情形, 给出了一种构造更为简单的CUSUM图的方法;
对于未知(或不关心) $(\mu,\sigma^2)$中何者变化的特殊情形, 文章提出了纯变化的...