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单词 partial derivative
释义

partial derivative

英汉-汉英词典
偏微商;偏导数
词组 | 习惯用语
您要查找的是不是:
    Partial derivative estimation 偏导数估计
    Application of Partial Derivative 偏导数的应用
    Partial derivative to zero 偏导函数为零
    partial derivation [计] 部分派生
    numerical partial derivation 数值微商
    partial derivative method 偏导数法
    directional partial derivative 方向偏导数
    higher-order partial derivatives 高阶偏导数
partial derivative [数] 偏导数;[数] 偏微商
原声例句
可汗学院:统计学(视频版)

And the partial derivative of this with respect to b, set that equal to 0.

并将其关于 b 的偏导数设为 0。

可汗学院:统计学(视频版)

The partial derivative with respect to b is going to be flat.

关于 b 的偏导数将是平坦的。

可汗学院:统计学(视频版)

And the partial derivative of our squared error with respect to b is going to be equal to 0.

并且我们的平方误差关于 b 的偏导数将等于 0。

可汗学院:统计学(视频版)

Just as a reminder, partial derivatives, it's just like taking a regular derivative.

提醒一下,偏导数,就像取正则导数一样。

可汗学院:统计学(视频版)

So if I were to take the partial derivative of this expression with respect to m.

因此,如果我要对该表达式求关于 m 的偏导数

可汗学院:统计学(视频版)

So its partial derivative with respect to m is 0.

所以它对m的偏导数为0。

可汗学院:统计学(视频版)

So the partial derivatives of either of these with respect to b is 0.

所以它们中的任何一个关于 b 的偏导数都是 0。

可汗学院:统计学(视频版)

So this is the partial derivative with respect to m.

所以这是关于 m 的偏导数

可汗学院:统计学(视频版)

So at that point, the partial derivative of our squared error with respect to m is going to be equal to 0.

所以在这一点上,我们的平方误差关于 m 的偏导数将等于 0。

可汗学院:统计学(视频版)

But to do that, we're going to find the partial derivative of this with respect to m.

但要做到这一点,我们将找到它关于 m 的偏导数

中文百科

偏导数

f = x2 + xy + y2的图像。我们希望求出函数在点(1, 1, 3)的对x的偏导数;对应的切线与xOz平面平行。
这是右图中y = 1时的图像片段。
圆锥的体积与它的高度和半径有关
Un gráfico de z = x2 + xy + y2. Queremos encontrar la derivada parcial en (1, 1, 3) que deja a y constante; la correspondiente línea tangente es paralela al eje x.

在数学中,一个多变量的函数的偏导数是它关于其中一个变量的导数,而保持其他变量恒定(相对于全导数,在其中所有变量都允许变化)。偏导数在矢量分析和微分几何中是很有用的。

函数f关于变量x的偏导数写为f_x^{\prime}\frac{\partial f}{\partial x}。偏导数符号\partial是圆体字母,区别于全导数符号的正体 d。 这个符号是阿德里安-马里·勒让德引入的并在雅可比的重新引入后得到普遍接受。

英语百科

Partial derivative 偏导数

A graph of z = x2 + xy + y2. For the partial derivative at (1, 1) that leaves y constant, the corresponding tangent line is parallel to the xz-plane.A slice of the graph above showing the function in the xz-plane at y= 1. Note that the two axes are shown here with different scales. The slope of the tangent line is 3.
The volume of a cone depends on height and radius
f = x2 + xy + y2的图像。我们希望求出函数在点(1, 1, 3)的对x的偏导数;对应的切线与xOz平面平行。

In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry.

近义、反义、联想词
近义词
n.
derived function, derivative, differential coefficient, differential, first derivative

英英词典
partial derivative n.
  1. 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

  2. synonymous: partial
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更新时间:2025/6/21 4:55:23