finitely additive measure造句

• Another generalization is the " finitely additive measure ", which are sometimes called " L "  " and the Stone
  ech compactification.
• To explain this a bit more, the question of whether a finitely additive measure exists, that is preserved under certain transformations, depends on what transformations are allowed.
• In particular, this isomorphism allows one to " define " the integral with respect to a finitely additive measure ( note that the usual Lebesgue integral requires " countable " additivity ).
• While a finitely additive measure is sufficient for most intuition of area, and is analogous to Riemann integration, it is considered insufficient for probability, because conventional modern treatments of sequences of events or random variables demand countable additivity.
• There is an obvious " algebraic " duality between the vector space of " all " finitely additive measures ? on ? and the vector space of simple functions ( \ mu ( A ) = \ zeta \ left ( 1 _ A \ right ) ).
• A discrete group " G " is "'amenable "'if there is a finitely additive measure ( also called a mean ) & mdash; a function that assigns to each subset of " G " a number from 0 to 1 & mdash; such that