1Smooth (of a surface); glassy; velvety; soft to the touch, bite, or eye. Often written in hiragana as なめらか in cosmetic and food contexts where tactile/texture appeal is emphasized.
このクリームを毎晩塗ると、肌がしっとりとなめらかになる。
Applying this cream every night leaves your skin moist and smooth.
口どけがなめらかなチョコレートは、ひと口で幸せな気持ちにさせてくれる。
Chocolate that melts smoothly in the mouth can make you happy with just one bite.
磨き上げられた大理石の床は、鏡のように滑らかに光を反射していた。
The polished marble floor reflected the light as smoothly as a mirror.
絹織物の滑らかな手触りは、他の布にはない贅沢な感触だ。
The smooth feel of silk has a luxurious quality unmatched by other fabrics.
2Smooth (of an action or process); fluent (of speech); fluid; trouble-free. Describes unhindered flow — a polished speaker, a hitch-free negotiation, an easy workflow. In this abstract sense, the kanji form 滑らか is the standard written form.
彼のプレゼンは滑らかで、聴衆を最後まで引きつけていた。
His presentation was smooth and kept the audience engaged until the end.
今回の交渉は想定よりも滑らかに進み、予定より早く合意に達した。
This round of negotiations went more smoothly than expected, and we reached an agreement ahead of schedule.
彼女は滑らかな英語で発言し、国際会議でも堂々と議論を進めた。
She spoke in fluent English and led the discussion confidently even at the international conference.
3(mathematics) Continuously differentiable; smooth in the technical sense. In analysis and geometry, describes a function, curve, or surface that is sufficiently differentiable. Written in the kanji form 滑らか as a technical term.
この関数は何度でも微分できるため、解析学では滑らかな関数と呼ばれる。
Because this function can be differentiated any number of times, it is called a smooth function in analysis.
曲線が滑らかであれば、各点における接線や曲率の計算が容易になる。
If the curve is smooth, computing tangent lines and curvature at each point becomes straightforward.