V2EX overdetermined

Overdetermined

Definition / 释义

overdetermined(形容词):
1)(常见)过度决定的;由多种原因共同造成的(一个结果有不止一个充分原因来解释)。
2)(数学/统计/工程)方程组“超定”的:未知数较少而方程/约束较多,通常没有精确解,需要用最小二乘等方法求近似解。
(也可泛指“约束过多、规定过细”。)

Pronunciation / 发音

/ovrdtmnd/

Examples / 例句

The puzzle is overdetermined, so there isn’t a single correct answer.
这个谜题是“过度决定的”,所以不可能只有一个正确答案。

In practice, engineers often solve an overdetermined system by fitting the model to noisy measurements rather than forcing an exact solution.
在实际中,工程师常常通过让模型去拟合带噪声的测量数据来处理超定系统,而不是强行追求精确解。

Etymology / 词源

由 **over-**(“过度、超过”)+ determine(“决定、确定”)+ -ed 构成,字面义是“被过度地决定/确定”。该词在一般语境中可表示“一个现象被多重原因充分解释”,在数学与工程中则发展出更专门的含义:约束(方程)多于未知量的“超定”。

elated Words / 相关词汇

Literary Works / 文学作品例证

  • Thomas S. Kuhn, The Structure of Scientific Revolutions(常讨论“证据与理论的决定/欠决定”问题,相关语境中常见 overdetermined/underdetermined 这类术语)
  • Judea Pearl, Causality: Models, Reasoning, and Inference(因果推断语境下会使用“多重原因/过度决定”等表述)
  • Stephen Strogatz, Nonlinear Dynamics and Chaos(涉及方程与模型拟合时,常出现“超定系统(overdetermined system)”的用法)
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