| 单词 | pascal's triangle |
| 释义 | > as lemmasPascal's triangle Pascal's triangle n. (also Pascal triangle) a triangular array of numbers with its apex, 1, at the top, in which every row begins and ends in a 1 and each of the numbers in between is the sum of the nearest two numbers in the row above.The numbers of the nth row of the triangle are the coefficients in the binomial expansion of (1 + x)n. E.g. (1 + x)3 = 1 + 3x + 3x2 + x3, and the third row of the triangle is 1 3 3 1.The triangle is described in Pascal's Traité du Triangle Arithmetique (published 1665, though written earlier).extracted from Pascaln.< as lemmas |
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