| 单词 | reciprocal equation |
| 释义 | > as lemmasreciprocal equation reciprocal equation n. Mathematics (originally) an equation whose roots can be divided into pairs of numbers, each the reciprocal of the other; (equivalently) an equation which is unchanged if the variable is replaced by its reciprocal (now rare); (in later use) an equation involving a reciprocal. ΚΠ 1823 J. Mitchell Dict. Math. & Physical Sci. 411 Reciprocal equations are those which contain several pairs of roots, which are the reciprocal of each other. 1885 Amer. Jrnl. Math. 8 78 Quintics ‘solvable’ by peculiar methods may be brought under the general theory now presented. Reciprocal equations form a class of such quintics. 1932 Amer. Math. Monthly 39 415 (heading) Real roots of a class of reciprocal equations. 1961 Internat. Jrnl. Appl. Radiation & Isotopes. 10 28/1 For this infinitely thin region..it is not possible to distinguish with accuracy between the exponential and the reciprocal equations. 2006 Forest Ecol. & Managem. 228 92/2 The original form of reciprocal equation was given as 1/ω = Aρ + B, where ω and ρ are mean plant weight and density in plants per unit area. < as lemmas |
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