好词典

differentiable

UK //ˌdɪf.əˈren.ʃi.ə.bəl//US //ˌdɪf.əˈren.ʃi.ə.bəl//

词源

源自differentiate(微分/区分)+-able(能够…的),19世纪数学术语,词根来自拉丁语differentia(差异)。

adjective

❶ 指数学函数在某点可求导的性质,即该点存在唯一切线,反映函数在该处的平滑变化率。

“The function is differentiable at every point in its domain.”

(该函数在其定义域内每一点都可微。)

“A differentiable curve has no sharp corners or cusps.”

(可微曲线没有尖锐的角或尖点。)

❶ 可区分或可辨别的,指事物具有足够差异性能被明确分类或识别。

“The two species are easily differentiable by their wing patterns.”

(这两个物种通过翅膀图案很容易区分。)

“The new model has differentiable features from previous versions.”

(新机型具有与旧版本可区分的特征。)

同义词:distinguishable, discernible, derivable

常见短语

continuously differentiable — 指函数不仅可微且其导数也是连续的,描述更高阶的平滑性质。

“The path-planning algorithm requires the trajectory to be continuously differentiable.”

(路径规划算法要求轨迹是连续可微的。)