coefficient
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coefficient
In mathematics and the natural sciences, a constant number or parameter that stands as a factor before a variable or a unit. It indicates a specific measure or ratio.
In der Gleichung 5x + 2y = 10 ist 5 der Koeffizient von x.
In the equation 5x + 2y = 10, 5 is the coefficient of x.
The word comes from Latin: 'co-' means 'with' or 'together,' and 'efficiens' means 'acting' or 'effective.' A 'Koeffizient' (coefficient) is therefore a number that acts 'together with' a variable to determine its value.
Der Reibungskoeffizient gibt an, wie stark die Reibungskraft zwischen zwei Oberflächen ist.
The coefficient of friction indicates how strong the frictional force between two surfaces is.
'Koeffizient' (coefficient) is a technical term used almost exclusively in scientific and technical contexts such as mathematics, physics, chemistry, or economics. The word hardly ever occurs in everyday conversation.
Im Physikunterricht haben wir gelernt, den Wärmeausdehnungskoeffizienten zu berechnen.
In physics class, we learned to calculate the coefficient of thermal expansion.
To indicate what a coefficient belongs to, the preposition 'von' followed by the dative is usually used. This structure clarifies the relationship between the number and the variable.
Bestimmen Sie den Koeffizienten von z in der gegebenen Formel.
Determine the coefficient of z in the given formula.
factor
'Faktor' and 'Koeffizient' can both have to do with numbers or quantities that influence a result. But 'Faktor' is much more general. In everyday language, it often means a circumstance that is important for a result, for example time, money, or weather. In mathematics, a factor can also be a number in a multiplication. 'Koeffizient' is used mainly in mathematics and the natural sciences for a fixed number or parameter before a variable. Learners may confuse the words because a coefficient often acts like a special kind of factor. In practical terms: in everyday life, you almost always say 'Faktor'; in formulas, 'Koeffizient' is more precise.
In der Formel steht der Koeffizient direkt vor der Variablen x.
In the formula, the coefficient stands directly before the variable x.
Zeit ist ein wichtiger Faktor, wenn man eine Reise gut planen will.
Time is an important factor if you want to plan a trip well.