Aufaddieren

Aufaddieren is a German verb meaning to add up numbers or to accumulate values by summing them. It is used in mathematics, accounting, and data processing to describe the act of forming a total from individual addends.

In mathematics, aufaddieren refers to computing the sum of a sequence of numbers. The operation is the same as addition and is usually denoted by the plus sign. It is commutative and associative, with zero as the additive identity. In practice, one can form a running total by repeatedly adding each term: total begins at zero and is increased by each addend.

In statistics, finance, and daily life, aufaddieren describes aggregating amounts to obtain a total, such as summing revenue from several days or totaling survey responses. In computing and data processing, it often refers to accumulating values in a running total or summing a collection of numbers, for example in loops or spreadsheet formulas.

Synonyms and related terms include addieren and summieren. While closely related, aufaddieren can emphasize the act of accumulating values step by step, whereas summieren is a more general term for calculating a sum. In programming, the concept is implemented by operations that update a variable with the new total, such as total += x.

Example: 3 + 5 + 7 = 15; in code, total = 0; for x in data: total += x. Aufaddieren remains a fundamental idea in arithmetic, accounting, and data analysis.