“Pascal's triangle”的概念、定义、翻译、参考文献-科学参考

Pascal's triangle

Statistics

A triangle of numbers in which the rth item on the nth row is the value of ⁿ⁻¹C_r−1, the number of different combinations of (r−1) objects chosen from (n−1). The sum of the numbers on the nth row is 2ⁿ⁻¹.
Thus ⁶⁻¹C₄₋₁=⁵C₃=10. Apart from the 1 at the beginning and end of each row, each number is the sum of the two nearest numbers in the row above. For example 10=4+6.
The relevance of the numbers in the context of probability was noted by Pascal and the description ‘Pascal's triangle’ was first used in a book on probability by Montmort.

单词	Pascal's triangle
释义	Pascal's triangle Statistics A triangle of numbers in which the rth item on the nth row is the value of ⁿ⁻¹C_r−1, the number of different combinations of (r−1) objects chosen from (n−1). The sum of the numbers on the nth row is 2ⁿ⁻¹. Thus ⁶⁻¹C₄₋₁=⁵C₃=10. Apart from the 1 at the beginning and end of each row, each number is the sum of the two nearest numbers in the row above. For example 10=4+6. The relevance of the numbers in the context of probability was noted by Pascal and the description ‘Pascal's triangle’ was first used in a book on probability by Montmort.
随便看	iterative deepening iterative evolution iterative hierarchy iterative impedance iterative improvement iteratively reweighted least squares iterative methods iterative proportional fitting iterative universe iteroparity Ito calculus Ito Hirobumi (1841–1909) Itokawa Ito, Kiyoshi (1915–2008) ITron ITSEC ITU ITU-R Iturbide, Agustín de (1783–1824) ITU-T i-type semiconductor IU IUE IUGS IUPAC