V2EX ansatz

Ansatz

Definition 定义

ansatz(名词)指在数学、物理等学科中为解决问题而先假设的一种形式、试探性的表达式或出发点(通常是“先设一个可能的解的形式”,再代入条件去确定参数)。在更广义的学术语境中,也可指“研究的基本设定/假设框架”。

Pronunciation 发音

/nzts/

Examples 例句

We chose a simple ansatz for the wave function.
我们为波函数选择了一个简单的试探形式。

Using a Gaussian ansatz, the researchers reduced the differential equation to a set of algebraic constraints that could be fitted to the data.
研究人员采用高斯型试探形式,将微分方程化简为一组可用数据拟合的代数约束条件。

Etymology 词源

ansatz 来自德语 Ansatz,原义有“起始、着手点、设置”的意思,源自动词 ansetzen(“着手、安放、设定”)。该词进入英语主要通过1920世纪的德语科学文献传统,常用于描述“先设定一个解的形式/假设结构”的做法,因此在理论物理、微分方程、变分法等领域尤其常见。

Related Words 相关词

Literary Works 文学作品

  • The Principles of Quantum Mechanics(P. A. M. Dirac)
  • Modern Quantum Mechanics(J. J. Sakurai)
  • Introduction to Quantum Mechanics(David J. Griffiths)
  • Quantum Mechanics: Non-Relativistic Theory(Landau & Lifshitz,《理论物理学教程》卷三)
  • Methods of Theoretical Physics(Morse & Feshbach)
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