maximum
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maximum
The greatest possible value, the highest attainable amount, or the utmost degree of something.
Die Temperatur erreichte heute ein Maximum von 35 Grad Celsius.
The temperature reached a maximum of 35 degrees Celsius today.
'Maximum' is a word of Latin origin that exists in many languages. If you speak English or a Romance language, you can probably recognize and understand it easily.
Wir müssen das Maximum an Effizienz erreichen.
We have to achieve the maximum level of efficiency.
Common phrases with this word are 'ein Maximum erreichen' (to reach a maximum), 'das Maximum herausholen' (to get the maximum out of something), or 'auf ein Maximum ansteigen' (to rise to a maximum).
Mit diesem Trainingsplan kannst du das Maximum aus dir herausholen.
With this training plan, you can get the maximum out of yourself.
To indicate the highest value, 'Maximum' is often used with the preposition 'von' (of) followed by a number and unit. To name the quality that is being maximized, 'an' is often used.
Die zulässige Höchstgeschwindigkeit beträgt ein Maximum von 120 km/h.
The permitted maximum speed is a maximum of 120 km/h.
climax / peak
'der Höhepunkt' and 'das Maximum' both have to do with a highest point. However, 'Maximum' mainly means the greatest possible value, the highest amount, or the utmost degree. It fits well with numbers, limits, and measured values. 'Höhepunkt' often means the most important or most exciting moment in a sequence, but it can also refer to a geographically highest point. The words can be confused when the idea is 'the highest thing'. In practice: for values and quantities, you usually use 'Maximum'; for events and excitement, you usually use 'Höhepunkt'.
Auf dieser Straße sind 50 Kilometer pro Stunde das Maximum.
On this road, 50 kilometers per hour is the maximum.
Der Höhepunkt der Feier war die Rede der Großmutter.
The highlight of the celebration was the grandmother's speech.