lincremento

Lincremento is a term used in mathematics and computer science to describe an operation or process in which a quantity increases by a fixed amount at each step, producing a linear growth pattern. In mathematics, a lincremento corresponds to an arithmetic progression. If a sequence starts at a0 and increases by d each step, a_n = a0 + n d; the difference between successive terms is constant, and the rate of change is constant, reflecting a linear function of n. The term is sometimes used in educational materials or discussions to emphasize the linear nature of the growth, as opposed to exponential or quadratic growth.

Origin and usage: The word combines linear with incremento (increment) in Romance languages. It is not a universally standardized term, and its usage can be informal or regional.

In computing, lincremento describes increasing an index or counter by a fixed step, such as i = i + d or i += d inside a loop. This produces a linear sequence of indices and is contrasted with variable-step progressions.

Examples: For d = 1, a_n = a_0 + n; for d = 3, a_n = a_0 + 3 n. In algorithm analysis, linear increments are used in sampling, iteration counts, and resource estimates, where time or space grows linearly with the input size when the step is constant.

See also: Increment, Arithmetic progression, Linear function, Recurrence relation, Iteration.