computational geometry algorithms and applications 2d ed - de berg

... V. Zombeck Smithsonian Astrophysical Observatory 60 Garden Street Cambridge, MA 02138 USA mvz@cfa.harvard.edu PDF made by © 2003 Leandro Da Vinci @ LEONARDO

... then ϕ is bounded and attains its sup and inf. Indeed, since S is compact, so is ϕ(S) and so ϕ(S)isclosed and bounded. Thus (see Exercise 1. 1-4 ) the inf and sup of this set are finite and are members ... metric is de ned as follows. 1.2.2 De nition. For ε>0 and m ∈ M , the open ε-bal l (or disk) about m is de ned by D ε (m)={ m  ∈ M | d(m  ,m) <ε} , and the close...

... mode is considered, i.e., as matrices are normally considered to be of size I × J and three-way arrays of size I × J × K, an index i will refer to a row-mode, an index j will refer to column-mode, ... additional constraints and a loss function Order The order of an array is the number of modes; hence a matrix is a second-order array, and a three-way array a third-order array Profile Col...