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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.
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.
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]
The "direct solver" solves a system algebraically by the principle of consecutive substitution. When multiple rules contain multiple unknowns, the program can trigger an iterative solver which uses the Newton–Raphson algorithm to successively approximate based on initial guesses for one or more of the output variables.
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).
Lexical substitution is the task of identifying a substitute for a word in the context of a clause. For instance, given the following text: "After the match , replace any remaining fluid deficit to prevent chronic dehydration throughout the tournament", a substitute of game might be given.