Difference

Difference or differences may refer to::

See also

Relative change and difference

In any quantitative science, the terms relative change and relative difference are used to compare two quantities while taking into account the "sizes" of the things being compared. The comparison is expressed as a ratio and is a unitless number. By multiplying these ratios by 100 they can be expressed as percentages so the terms percentage change, percent(age) difference, or relative percentage difference are also commonly used. The distinction between "change" and "difference" depends on whether or not one of the quantities being compared is considered a standard or reference or starting value. When this occurs, the term relative change (with respect to the reference value) is used and otherwise the term relative difference is preferred. Relative difference is often used as a quantitative indicator of quality assurance and quality control for repeated measurements where the outcomes are expected to be the same. A special case of percent change (relative change expressed as a percentage) called percent error occurs in measuring situations where the reference value is the accepted or actual value (perhaps theoretically determined) and the value being compared to it is experimentally determined (by measurement).

Complement (set theory)

In set theory, a complement of a set A refers to things not in (that is, things outside of) A. The relative complement of A with respect to a set B is the set of elements in B but not in A. When all sets under consideration are considered to be subsets of a given set U, the absolute complement of A is the set of all elements in U but not in A.

Relative complement

If A and B are sets, then the relative complement of A in B, also termed the set-theoretic difference of B and A, is the set of elements in B, but not in A.

The relative complement of A in B is denoted B ∖ A according to the ISO 31-11 standard (sometimes written B – A, but this notation is ambiguous, as in some contexts it can be interpreted as the set of all b – a, where b is taken from B and a from A).

Formally

Examples:

If is the set of real numbers and is the set of rational numbers, then is the set of irrational numbers.

The following lists some notable properties of relative complements in relation to the set-theoretic operations of union and intersection.

Higgins

Higgins may refer to:

People

Places

Other

Higgins (surname)

Higgins is a surname found in England and in Ireland with several origins.

Origins in England

all then stemmed with the patronymic termination ings; meaning belonging to, or the son of.

Origin in Ireland, the name is an anglicised version of the Gaelic family Ó hUiginn, who were high status poets between the 14th and 17th centuries. Descendants of this family include Bernardo O'Higgins, the first Head of State of Chile, and Kevin O'Higgins who was Minister for Justice in the first Irish Free State government.

In politics

Division of Higgins

The Division of Higgins is an Australian Electoral Division in Victoria.

The division was created in 1949 and is named after Justice H. B. Higgins (1851–1929), who was a Member of the Victorian Legislative Assembly (1894), president of the Carlton Football Club (1904), a founding Member of Australian House of Representatives (1901–1906) and Justice of the High Court of Australia (1906–1929).

It is located in Liberal Party heartland of inner eastern Melbourne, including the ultra-affluent suburbs of Armadale, Kooyong, Malvern and Toorak, as well as middle-class Ashburton, Carnegie, Glen Iris, Prahran and South Yarra.

Historically the seat has been prominent in Australian federal politics, especially for the Liberal Party. The seat's first two members, Harold Holt and Sir John Gorton, were Prime Ministers of Australia in 1966–67 and 1968–71 respectively. Higgins is the only Division to have been held by two Prime Ministers. This occurred when Holt went missing while Prime Minister, and then-Senator Gorton was elected as his replacement.