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单词 imperfect square
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imperfect square
b. Designating a power (power n.1 12c) whose root is an irrational number. Chiefly in imperfect square (contrasted with perfect square n. at perfect adj., n., and adv. Compounds 2).
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imperfect1706
1706 W. Jones Synopsis Palmariorum Matheseos 114 The Roots of Imperfect Powers are Incommensurable Quantities.
1854 J. R. Young in Orr's Circle Sci.: Math. Sci. 229 In algebra, it is usual to stop as soon as the proposed polynomial is exhausted; the object being..to ascertain whether the expression submitted to the process is a square or not, than to seek algebraical approximations to imperfect squares.
1874 S. P. Sanford Higher Analyt. Arithm. (ed. 2) 355 A number may be a perfect power of one degree, and an imperfect power of another degree; thus, 25 is a perfect square, but an imperfect cube.
1966 Isis 57 489 Al-Nasawī is given credit by Sarton for extracting the square roots of imperfect squares.
2013 H. Torrance Standards-based Math (new ed.) 65 Some problems will involve finding the square root of imperfect squares, so you may wish to use a calculator.
extracted from imperfectadj.n.
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