单词例句
The equation is separable, so we can easily solve for one variable by isolating it on one side.
这个方程是可分离的，所以我们可以很容易地通过将一个变量隔离在一边来求解它。
The function f(x, y) = 3x^2 + 2xy + 4y^2 is separable because it can be written as the sum of functions depending only on x and y separately.
函数f(x, y) = 3x^2 + 2xy + 4y^2是可分离的，因为它可以写成仅依赖于x和y各自的部分之和。
In chemistry, the rate law for a reaction is often separable, allowing us to determine the reaction order with respect to each reactant.
在化学中，反应速率常数常常是可分离的，这使得我们能够确定对每个反应物的反应级数。
A separable differential equation has the form dy/dx = g(y)h(x), which can be solved by integrating both sides with respect to their respective variables.
可分离的微分方程形式为dy/dx = g(y)h(x)，可以通过分别对方程两边关于各自的变量进行积分来求解。
The separable convolution theorem simplifies the process of analyzing signals in Fourier analysis, making it easier to separate different frequency components.
可分离卷积定理简化了傅立叶分析中的信号分析过程，使得分离不同的频率成分变得更容易。
In statistics, a separable covariance matrix indicates that the variables are independent, with no cross-correlation between them.
在统计学中，可分离的协方差矩阵意味着变量是独立的，彼此之间没有交叉相关性。
The algorithm for solving linear equations is separable, meaning it can be divided into independent parts that can be executed simultaneously on multiple processors.
解线性方程的算法是可分离的，意味着它可以被划分为独立的部分，可以在多个处理器上同时执行。
A separable Hilbert space allows for the application of orthogonal projections, making it easier to analyze and decompose complex functions into simpler components.
可分离的希尔伯特空间允许应用正交投影，使得分析和分解复杂函数为更简单的组成部分变得更加容易。
In machine learning, separability refers to the ability of a model to classify data points clearly into distinct classes, without any overlap or confusion.
在机器学习中，可分离性指的是模型能够清楚地将数据点分类到不同的类别，没有重叠或混淆。
The concept of separability in quantum mechanics allows for the study of a multi-particle system as a collection of individual particles, each with their own wavefunction.
在量子力学中，可分离性概念使得多体系统的研究可以看作是单个粒子的集合，每个粒子都有自己的波函数。