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Free substitution or rolling substitution is a rule in some sports that allows players to enter and leave the game for other players many times during the course of a game, generally during a time-out or other break in live play; and for coaches to bring in and take out players an unlimited number of times.
The change would be sudden. The January 1953 convention of the NCAA's rules committee, acting at the behest of a resolution drafted by the NCAA Council to the gathering, [4] voted to eliminate free substitution and thus the two-platoon system from the college game, effective with the forthcoming 1953 season. [5]
A free variable is a notation (symbol) that specifies places in an expression where substitution may take place and is not a parameter of this or any container expression. The idea is related to a placeholder (a symbol that will later be replaced by some value), or a wildcard character that stands for an unspecified symbol.
Substitution (law), the replacement of a judge; Substitution (sport), where a sports team is able to change one player for another during a match; Substitution therapy or opiate replacement therapy; Import substitution industrialization, a trade and economic policy; Penal substitution, a theory of the atonement within Christian theology
A substitution is called a ground substitution if it maps all variables of its domain to ground, i.e. variable-free, terms. The substitution instance tσ of a ground substitution is a ground term if all of t ' s variables are in σ ' s domain, i.e. if vars(t) ⊆ dom(σ).
The substitution is described in most integral calculus textbooks since the late 19th century, usually without any special name. [5] It is known in Russia as the universal trigonometric substitution , [ 6 ] and also known by variant names such as half-tangent substitution or half-angle substitution .