summierten

Summieren is a German verb meaning to add up or to compute a total. The form summierten is the simple past (Präteritum) of summieren and is used to describe a completed summing in the past, for example in reports: "Die Werte wurden summiert." The noun forms die Summe and die Summierung (or die Summation) refer to the total or to the act of summing.

In mathematics, statistics and data processing, summieren denotes the operation of producing the sum of a sequence of numbers, values, or terms. This can be done by hand, with a calculator, or by software functions such as SUMME in German-language spreadsheets or sum() in programming languages. In mathematical notation, summation is often written with the sigma symbol, ∑, indicating a sum over an index.

Variants and synonyms include addieren and die Summe; Summierung emphasizes the process, while Summe denotes the resulting total. The term is common in reports, data analysis, finance, and scientific texts when information is aggregated. In practical contexts, summation may be accompanied by considerations such as missing values, rounding, or handling infinite series.

See also: Summation, Addieren, Sigmanotation, Aggregation.