例区间是可测集,且ml 证明见书本p66 注:零集、区间、开集、闭集、G型集(可数个开集的交)、 F。型集(可数个闭集的并)、 Borel型集(粗略说:从开集出发 通过取余,取交或并(有限个或可数个)运算得到)都是可测集

记忆的定义 记忆,乃是在人们的头脑中重现无意识 内容的能力。(C.G. Jung writes)

Hybrid Mode Estimation and Gaussian Filtering with Hybrid HMMs Stanislav funiak 16. 412/6.834 Lecture, 15 March 2004 References Hofbaur, M. W, and Williams, B C(2002). Mode estimation of probabilistic hybrid systems. In: Hybrid Systems: Computation and Control Hscc 2002 Funiak, S, and Williams, B. C (2003 ). Multi-modal particle filtering for hybrid systems with autonomous mode transitions. In: DX-2003 SafeProcess 2003 Lerner, U.,R. Parr, D. Koller and G. Biswas(2000). Bayesian fault detection and diagnosis in dynamic

Images taken from slides by B. Bayazit, G. Dudek, J. C. Latombe and. Moore Robot Motion Planning and (a little)Computational Geometry Topics: Transforms Topological Methods Configuration space Skeletonization Potential Functions Cell-decomposition Methods Non-holonomic Motion Collision

Computer technologies have been changing the environment of engineering design-enabling MDO Hardware: Advances in processor speed, memory and storage Software: Powerful disciplinary analysis and simulation programs(e.g. Nastran, Fluent...)

Restriction enzymes are extensively used in molecular biology. Below are the recognition sites of two of these enzymes, BamHI and Bcll. a)BamHI, cleaves after the first G: 5'GGATCC 3 3 CCTAGG5 Does cleavage by BamHI result in a 5' or 3 overhang? What is the sequence of this overhang?

The milks of all mammals contain lipids but the concentration varies widely between species from c. 2% to greater than 50%(Table 3. 1). The principal function of dietary lipids is to serve as a source of energy for the neonate and the fat content in milk largely reflects the energy requirements of the species, e.g. land animals indigenous to cold environments and marine

Problem 1. An undirected graph G has width w if the vertices can be arranged in a se- quence V1,2,3,…,Vn such that each vertex v; is joined by an edge to at most w preceding vertices. (Vertex vj precedes if i.) Use induction to prove that every graph with width at most w is (w+1)-colorable

KEY: GRAMMAR 1-5 CABAC 6-10 ADBAC 11-15 ACBAB 16-20 CACCD 21-25 BDABC 26-30 DCBCA 31-35 CCDAB 36-40 DABAC

Key to practice exercise I. GRAMMAR 1.C 2.A在 hope,Ibet结构后的that-分句中可使用一般现在时表示将来的动作。如: bet it rains tomorrow. 3.B.主句中若有 require, demand, suggest insist order, prefer, propose recommend, request等动词,其后的that分句中应使用be型虚拟式,即动次原形或 should+动词原形