mild / lukewarm
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mild
Describing a pleasant, gentle warmth that is felt as neither hot nor cold. Often used for weather or air.
Wir saßen an dem lauen Sommerabend noch lange auf der Terrasse.
We sat on the terrace for a long time on that mild summer evening.
The noun that 'lau' (mild/lukewarm) describes reveals the meaning. If it refers to temperature or weather, e.g. 'Abend' (evening) or 'Wasser' (water), it means 'mild' or 'lukewarm'. If it refers to a performance or feeling, e.g. 'Applaus' (applause) or 'Interesse' (interest), it means 'half-hearted'.
Ein laues Lüftchen wehte vom Meer herüber.
A mild little breeze blew in from the sea.
In its literal meaning, 'lau' (mild/lukewarm) is almost always used for weather, air, or liquids. Typical combinations are 'ein lauer Sommerabend' (a mild summer evening), 'laues Wasser' (lukewarm water), or 'ein laues Lüftchen' (a mild little breeze).
Für das Babybad sollte das Wasser nur lau sein.
For the baby's bath, the water should only be lukewarm.
In its figurative meaning, 'lau' (half-hearted/lukewarm) describes a lack of energy or enthusiasm. Common combinations are 'ein lauer Applaus' (lukewarm applause), 'eine laue Vorstellung' (a half-hearted performance), or 'ein lauer Versuch' (a half-hearted attempt).
Nach der lauen Leistung im Halbfinale hatte die Mannschaft keine Chance mehr.
After the half-hearted performance in the semifinal, the team no longer had a chance.
hot
'heiß' and 'lauer' both describe warmth, but with different levels of intensity. 'heiß' means a high temperature. 'lauer' describes a mild, pleasant warmth, especially with weather or air. A hot day can be exhausting; a 'lauer Abend' (mild evening) is more likely to be pleasant. Figuratively, 'heiß' can feel strong, intense, or emotional, while 'lauer' fits something that shows less energy or enthusiasm. The important point is: 'lauer' is not strong heat, but gentle warmth.
Bei den Eltern haben wir den lauen Sommerabend auf dem Balkon verbracht.
At my parents' place, we spent the mild summer evening on the balcony.
Sie stellt das heiße Wasser auf den Tisch, damit der Tee ziehen kann.
She puts the hot water on the table so the tea can steep.