Equation involving differences between successive values of a function of a discrete variable (i.e., one defined for a sequence of values that differ by the same amount, usually 1). A function of such a variable is a rule for assigning values in sequence to it. For example, math.f(math.x + 1) = math.xmath.f(math.x) is a difference equation. Methods developed for solving such equations have much in common with methods for solving linear differential equations, which difference equations are often used to approximate.
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In order for something to be different, you must have something to compare it to.
In particular, difference can refer to: