冗余方程英文解释翻译、冗余方程的近义词、反义词、例句
英语翻译：
【化】 redundant equation
分词翻译：
冗余的英语翻译：
【计】 redundance; redundancy
【化】 redundancy
方程的英语翻译：
equation
网络扩展解释
冗余方程（róng dú fāng chéng）
冗余方程指的是超定方程组中的额外的方程。这些方程可以被其他方程推导出来，因此在解方程组时可以被省略掉。冗余方程通常可以用于检验解的正确性。
Redundant equations
Redundant equations refer to the additional equations in an overdetermined system of equations. These equations can be derived from other equations, and can therefore be omitted when solving the system of equations. Redundant equations are often used to verify the correctness of a solution.
英文读音：/rɪˈdʌndənt ɪˈkreɪʃənz/
Usage
Redundant equations are often used in engineering and mathematics to verify the solutions of systems of equations. By introducing additional equations, we can determine if the solution is unique and cannot be further refined.
Examples
- Example 1: We have a system of equations: 2x + 3y = 10, 4x + 6y = 20, and 6x + 9y = 30. The last equation is redundant, as it can be derived from multiplying the first equation by 3 and the second equation by 2: 6x + 9y = 30.
- Example 2: In a linear regression model, we want to determine the coefficients of the regression line. By introducing additional equations, we can verify that the solution is unique and optimal.
Synonyms
Extra equations, superfluous equations, extraneous equations, unnecessary equations.
- Example: In an overdetermined system of equations, we often have extra or unnecessary equations that can be omitted.
Antonyms
Essential equations, necessary equations, core equations, fundamental equations.
- Example: In an underdetermined system of equations, we often lack essential or necessary equations that are required to solve the system.
冗余方程是一个常用的数学术语，在工程和统计学中经常被使用。了解它的中文拼音、英文解释翻译、英文读音、用法、例句、近义词和反义词非常有帮助，能够提高我们对数学模型的理解和应用。