在 MathJax 中，aligned、align 和 align* 是用于对齐多行数学公式的环境，但它们在功能、使用场景和编号规则上有明确区别： 1. 功能与使用场景 • align 环境 用于独立排版多行对齐的数学公式，每行默认自动编号。适用于...

non-dimensionalization we will perform the non-dimensionalization of the parameters

prerequisite conditions put velocity potential function as follow \[ \begin{equation} \phi=U x+\varphi-\frac{1}{2} U^2 tz \en...

In dispersive water waves (e.g., surface gravity waves on deep or shallow water), several concepts describe how waves travel,...

在英文数学论文中，推导公式时连接前后式子的常用连接词和短语可以分为以下几类，以确保逻辑清晰、推导严谨： 1. 表示直接推导或结果 连接词/短语： Therefore Example: "Therefore, Equation (3) can b...

‘Next-level urgency’: EU leaders spring into action as reality of US pivot to Russia hits ‘A European/ˌjʊərəˈpiːən/-Russian/ˈ...

question Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to ta...

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