 given by:                                                                         B                ⁡                                  (                  𝕆                  )                                            =                              ln                ⁡                                  (                                      b                    ⁡                                          (                      𝕆                      )                                                        )                                                                                                        =                              ln                ⁡                                  (                                                            ∑                                              m                        =                        0                                            M                                        ⁢                                                                  w                        ⁡                                                  (                          m                          )                                                                    ·                                                                        b                          ′                                                ⁡                                                  (                                                      m                            ,                            𝕆                                                    )                                                                                                      )                                                                                                        =                              ln                ⁡                                  (                                                            ∑                                              m                        =                        0                                            M                                        ⁢                                          exp                      ⁢                                              {                                                  ln                          ⁡                                                      (                                                                                          w                                ⁡                                                                  (                                  m                                  )                                                                                            ·                                                                                                b                                  ′                                                                ⁡                                                                  (                                                                      m                                    ,                                    𝕆                                                                    )                                                                                                                      )                                                                          }                                                                              )                                                                                                        =                              ln                ⁡                                  (                                                            ∑                                              m                        =                        0                                            M                                        ⁢                                          exp                      ⁡                                              (                                                                              B                            ′                                                    ⁡                                                      (                                                          m                              ,                              𝕆                                                        )                                                                          )                                                                              )                                                                                        (        0        )             I