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The leading-order terms (or corrections) within a mathematical equation, expression or model are the terms with the largest order of magnitude. The sizes of the different terms in the equation(s) will change as the variables change, and hence, which terms are leading-order may also change.

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  • Leading-order term (en)
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  • 在数学方程式、表达式或模型中的领头项（Leading-order term）是数量级最大的。随着变量的变化，方程中不同项的大小也将发生变化，因此，哪些项是领头项也可能发生变化。 (zh)
  • The leading-order terms (or corrections) within a mathematical equation, expression or model are the terms with the largest order of magnitude. The sizes of the different terms in the equation(s) will change as the variables change, and hence, which terms are leading-order may also change. (en)
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  • The leading-order terms (or corrections) within a mathematical equation, expression or model are the terms with the largest order of magnitude. The sizes of the different terms in the equation(s) will change as the variables change, and hence, which terms are leading-order may also change. A common and powerful way of simplifying and understanding a wide variety of complicated mathematical models is to investigate which terms are the largest (and therefore most important), for particular sizes of the variables and parameters, and analyse the behaviour produced by just these terms (regarding the other smaller terms as negligible). This gives the main behaviour – the true behaviour is only small deviations away from this. This main behaviour may be captured sufficiently well by just the strictly leading-order terms, or it may be decided that slightly smaller terms should also be included. In which case, the phrase leading-order terms might be used informally to mean this whole group of terms. The behaviour produced by just the group of leading-order terms is called the leading-order behaviour of the model. (en)
  • 在数学方程式、表达式或模型中的领头项（Leading-order term）是数量级最大的。随着变量的变化，方程中不同项的大小也将发生变化，因此，哪些项是领头项也可能发生变化。 (zh)
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