Equivalence (measure theory)In mathematics, and specifically in measure theory, equivalence is a notion of two measures being qualitatively similar. Specifically, the two measures agree on which events have measure zero. Let and be two measures on the measurable space and let and be the sets of -null sets and -null sets, respectively.
Content (measure theory)In mathematics, in particular in measure theory, a content is a real-valued function defined on a collection of subsets such that That is, a content is a generalization of a measure: while the latter must be countably additive, the former must only be finitely additive. In many important applications the is chosen to be a ring of sets or to be at least a semiring of sets in which case some additional properties can be deduced which are described below. For this reason some authors prefer to define contents only for the case of semirings or even rings.
Wasted voteIn electoral systems, a wasted vote is any vote that does not receive representation in the final election outcome. This includes lost votes for a losing candidate or party, and excess votes for winning candidates in excess of the minimum needed to win. When applied to ranked-vote systems, it includes exhausted votes, votes where none of the candidates the voter ranked are elected. Wasted vote share changes from one election to another depending on voter behavior. Wasted votes can lead to political apathy.
Contingent voteThe contingent vote is an electoral system used to elect a single representative in which a candidate requires a majority of votes to win. It is a variation of instant-runoff voting (IRV). Under the contingent vote, the voter ranks the candidates in order of preference, and the first preference votes are counted. If no candidate has a majority (more than half the votes cast), then all but the two leading candidates are eliminated and the votes received by the eliminated candidates are distributed among the two remaining candidates according to voters' preferences.
Block votingBlock voting or bloc voting refers to electoral systems in which multiple candidates are elected at once and a group (voting bloc) of voters can force the system to elect only their preferred candidates. Block voting may be used at large (in a single district with multiple winners) or in several multi-member districts. Most types of block voting fall under the multiple non-transferable vote type of system; these terms are sometimes used synonymously.