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- Leading-order_term abstract "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.".
- Leading-order_term thumbnail LeadingOrderGraph.JPG?width=300.
- Leading-order_term wikiPageID "37503542".
- Leading-order_term wikiPageLength "13795".
- Leading-order_term wikiPageOutDegree "15".
- Leading-order_term wikiPageRevisionID "704239200".
- Leading-order_term wikiPageWikiLink Category:Orders_of_magnitude.
- Leading-order_term wikiPageWikiLink Equation.
- Leading-order_term wikiPageWikiLink Expression_(mathematics).
- Leading-order_term wikiPageWikiLink Lubrication_theory.
- Leading-order_term wikiPageWikiLink Mathematical_model.
- Leading-order_term wikiPageWikiLink Mathematics.
- Leading-order_term wikiPageWikiLink Method_of_matched_asymptotic_expansions.
- Leading-order_term wikiPageWikiLink Navier–Stokes_equations.
- Leading-order_term wikiPageWikiLink Order_of_magnitude.
- Leading-order_term wikiPageWikiLink Rule_of_thumb.
- Leading-order_term wikiPageWikiLink Significant_figures.
- Leading-order_term wikiPageWikiLink Stokes_flow.
- Leading-order_term wikiPageWikiLink Term_(logic).
- Leading-order_term wikiPageWikiLink Variable_(mathematics).
- Leading-order_term wikiPageWikiLink File:LeadingOrderGraph.JPG.
- Leading-order_term wikiPageWikiLinkText "Leading-order term".
- Leading-order_term wikiPageWikiLinkText "leading order".
- Leading-order_term wikiPageUsesTemplate Template:Dubious.
- Leading-order_term subject Category:Orders_of_magnitude.
- Leading-order_term hypernym Terms.
- Leading-order_term type Country.
- Leading-order_term type Unit.
- Leading-order_term comment "The leading-order terms (or corrections) within a mathematical equation, expression or model are the terms with the largest order of magnitude.".
- Leading-order_term label "Leading-order term".
- Leading-order_term sameAs Q6508709.
- Leading-order_term sameAs m.0nbrgr9.
- Leading-order_term sameAs Q6508709.
- Leading-order_term wasDerivedFrom Leading-order_term?oldid=704239200.
- Leading-order_term depiction LeadingOrderGraph.JPG.
- Leading-order_term isPrimaryTopicOf Leading-order_term.