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单词 quarter square
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quarter square
quarter square n. Mathematics one quarter of the square of a number (esp. with reference to a method for multiplying two numbers by subtracting one quarter of the square of their difference from one quarter of the square of their sum); usually in plural.
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quarter square1841
1841 Penny Cycl. XIX. 199/2 A table which gives the squares of the halves of numbers will, by the addition of the squares of the halves or quarter-squares, give the product.
1946 A. Fletcher et al. Index Math. Tables 36 Glaisher has pointed out that the triangular numbers provide a useful variant of the quarter-squares method of multiplication.
1993 Amer. Math. Monthly 100 352 The use of identity 4AB = (A + B)2 − (AB)2, which is sometimes referred to as the method of ‘quarter squares’.
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