ETYM Pref. re- + place: cf. French replacer.
1. To put something back where it belongs; SYN. put back.
2. To substitute a person or thing for (another that has ceased to fulfil its function).
1. To act as a substitute for; SYN. deputize, stand in, step in.
2. To be a substitute; SYN. sub, stand in, fill in.
3. To put in the place of another; SYN. replace.
In mathematics, to put values in the place of variables in an algebraic expression or formula. An algebraic expansion or simplification can be checked by substituting simple values for each variable. For example, to check that
X3 + y3 = (x + y)(x2 + y2 - xy)
The value x = 1 and y = 2 might be substituted in both sides of the expression, giving
Left-hand side: 13 + 23 = 1 + 8 = 9
Right-hand side: (1 + 2)(12 + 22 - 2) = 3 x 3 = 9.
The two sides are the same, so the expansion of x3 + y3 is correct.
1. To come, or be placed, in the place of; to replace.
2. To displace, or set aside, and put another in place of
3. To make void, inefficacious, or useless, by superior power, or by coming in the place of; to set aside; to render unnecessary.