An extremal quasi-conformal mapping f of a domain D is said to be of non-landslide type if the set Ef(δ):= {z∈D:|μf(z)|≤||μ|| ∞ -δ} has no interior points for any δ > 0. In this paper,we construct a quasi-c...An extremal quasi-conformal mapping f of a domain D is said to be of non-landslide type if the set Ef(δ):= {z∈D:|μf(z)|≤||μ|| ∞ -δ} has no interior points for any δ > 0. In this paper,we construct a quasi-conformal mapping f of the unit disc D such that its Teichmu¨ller equivalence class [f] contains infinitely many extremal mappings of non-landslide type. The relation between extremal mappings of non-landslide type and locally extremal mappings is also discussed.展开更多
行星表面有探索价值的区域多处于极端地形之中,目前应用于探索该类地形的多为绳系机器人。首先简要评述极端地形绳系机器人的发展现状,依据现有极端地形绳系机器人机构构型的不同,将其划分为4类,分别为腿式、轮式、履带式及复合式,并分...行星表面有探索价值的区域多处于极端地形之中,目前应用于探索该类地形的多为绳系机器人。首先简要评述极端地形绳系机器人的发展现状,依据现有极端地形绳系机器人机构构型的不同,将其划分为4类,分别为腿式、轮式、履带式及复合式,并分析其优劣所在;其次分析绳系机器人关键技术,即系绳管理技术的发展现状。为了避免系绳缠绕,系绳从最初作为基本组件逐步发展为基于系绳的同步定位与建图(tethered simultaneous localization and mapping,TSLAM)问题,同时讨论了现有方法的局限性及未来可能的发展方向。展开更多
基金supported by National Natural Science Foundation of China (Grant No.10771153)
文摘An extremal quasi-conformal mapping f of a domain D is said to be of non-landslide type if the set Ef(δ):= {z∈D:|μf(z)|≤||μ|| ∞ -δ} has no interior points for any δ > 0. In this paper,we construct a quasi-conformal mapping f of the unit disc D such that its Teichmu¨ller equivalence class [f] contains infinitely many extremal mappings of non-landslide type. The relation between extremal mappings of non-landslide type and locally extremal mappings is also discussed.
文摘行星表面有探索价值的区域多处于极端地形之中,目前应用于探索该类地形的多为绳系机器人。首先简要评述极端地形绳系机器人的发展现状,依据现有极端地形绳系机器人机构构型的不同,将其划分为4类,分别为腿式、轮式、履带式及复合式,并分析其优劣所在;其次分析绳系机器人关键技术,即系绳管理技术的发展现状。为了避免系绳缠绕,系绳从最初作为基本组件逐步发展为基于系绳的同步定位与建图(tethered simultaneous localization and mapping,TSLAM)问题,同时讨论了现有方法的局限性及未来可能的发展方向。
