: false hair worn especially by a woman to replace or supplement natural hair
a (1): the operation of changing (as by rotation or mapping) one configuration or expression into another in accordance with a mathematical rule; especially: a change of variables or coordinates in which a function of new variables or coordinates is substituted for each original variable or coordinate (2): the formula that effects a transformation
a: genetic modification of a bacterium by incorporation of free DNA from another ruptured bacterial cell—compare transduction 2 b: genetic modification of a cell by the uptake and incorporation of exogenous DNA
In mathematics, a rule for changing a geometric figure or algebraic expression into another, usually accompanied by a rule for transforming it back. In geometry and topology, a transformation (e.g., flipping horizontally or vertically, rotating, or stretching vertically or horizontally) moves each point in a figure or graph to another position. A graph also undergoes a transformation when its coordinate system is changed. For example, the equations that establish a correspondence between the rectangular and polar coordinate systems constitute a transformation. In analysis, a transformation is a procedure that changes one function into another. Of special interest in many fields of mathematics are transformations forming a group, in which any two transformations applied successively produce the same result as another transformation in the group and each transformation has an inverse transformation (which undoes it) in the group. See alsogroup theory, integral transform, linear transformation.