Page 57 - PowerPoint Presentation
P. 57

Projection onto orthogonal basis





                                             j =(0,1)                                                       v =(v ,v )
                                                                                                                       x
                                                                                                                            y





                                                                   p ij                                                                  p  uv








                                                                                                                                              u=(u ,u )
                                                                                                                                                             y
                                                                                                                                                        x
                                                                   i =(1,0)


                                      p  = (5,4)                                                             p = (u·p , v·p )
                                                                                                                                  ij
                                                                                                                                              ij
                                                                                                                uv
                                         ij




                                                                  u           u        5           u            u    
                                                     p =              x          x            =         x         y      p   ij
                                                        uv

                                                                   v  y       v  y       4          v   x      v  y  
   52   53   54   55   56   57   58   59   60   61   62