Word · Frequency #3804
partials
偏导数
partials is the plural of partial.
A partial derivative: the derivative of a function of several variables with respect to one variable while the others are held constant.
- 1.
A partial derivative: a derivative with respect to one independent variable of a function in multiple variables while holding the other variables constant.
偏导数:多元函数关于一个独立变量的导数,同时将其他变量视为常数。
- 2.
the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant
多变量函数对单一变量的偏导数,其他变量保持不变
- 3.
Any of the sine waves which make up a complex tone; often an overtone or harmonic of the fundamental.
构成复音的正弦波之一；通常是基音的泛音或谐波。
- 4.
a harmonic with a frequency that is a multiple of the fundamental frequency
频率是基频倍数的谐波
- 5.
dentures that replace only some of the natural teeth
仅替换部分天然牙齿的假牙。
- 6.
An incomplete fingerprint
不完整的指纹。
- 7.
The condition of not exhausting the amplitude during the repetition of an exercise.
重复练习中不完全消耗幅度的状态。
分音；泛音；局部义齿；不完整指纹；部分指纹；半程动作；部分动作；偏导数:多元函数关于一个独立变量的导数,同时将其他变量视为常数。
In use
In calculus class, we learned how to compute a partial with respect to x.
The function has several partials that must be evaluated at the critical point.
To solve the equation, you need to find all first-order partials.
the partial of [function] with respect to [variable]
在数学中，'partial' 常指偏导数。
Calculate the partial of f with respect to x.
计算 f 关于 x 的偏导。
the partials of [sound]
在声学中，'partial' 指分音，即泛音列中的某个频率。
The partials of the violin tone determine its timbre.
小提琴音色的分音决定了其音色。
compute the partials
复数 partials 常用于表示多个偏导数。
Connections
Collocations
- first partial
- 第一偏导数
- To find the gradient, we compute the first partial with respect to each variable.为求梯度，我们计算关于每个变量的第一偏导数。
- mixed partial
- 混合偏导数
- The mixed partials are equal under Clairaut's theorem.在克莱罗定理下，混合偏导数相等。
- partial with respect to x
- 关于x的偏导数
- The partial with respect to x is denoted by ∂f/∂x.关于x的偏导数用∂f/∂x表示。
- take the partial
- 求偏导
- Take the partial of the function and set it to zero.求函数的偏导数并设为零。
- second partial
- 二阶偏导数
- The second partials determine the concavity of the function.二阶偏导数决定了函数的凹凸性。
Synonyms
Learner notes
Memory Tip
part（部分）+ i-al，谐音即声音的部分。
Context & Register
常见场景：音乐、声学 该词义为专业术语，多用于音乐或声学领域。
Grammar Note
数学术语，常跟 with respect to 连用
Pronunciation & Spelling
All listed words end with the sound /ʃəl/ and rhyme with 'partial'. The common spelling ending is '-tial'.
Usage priority
Collins 词频等级为 2，建议结合例句记忆，而不是只背中文释义。
Learn the forms together
页面下方列出了常见词形变化。学习时注意它们在句子中的语法位置。
Dictionary facts from DICTIONARY_API_DEV, ECDICT, WORDNET.