A triangular array of numbers in which those at the ends of the rows are 1 and each of the others is the sum of the nearest two numbers in the row above (the apex, 1, being at the top).
〔数〕帕斯卡三角形
Example sentencesExamples
Since Pascal's triangle can be generated by a simple geometric procedure, this method shows that there is geometric structure beneath questions of probability.
One of these is Pascal's triangle which gives the coefficients needed to expand sums of unknowns up to the eighth power.
His use of a generalised version of Pascal's triangle is also explained.
Of course this table is none other than Pascal's triangle for finding the binomial coefficients despite being viewed from a different angle from the way we build it up today.
He gives what today is called Pascal's triangle, up to the sixth row, saying that he learnt it from her treatise.
Definition of Pascal's triangle in US English:
Pascal's triangle
noun
Mathematics
A triangular array of numbers in which those at the ends of the rows are 1 and each of the others is the sum of the nearest two numbers in the row above (the apex, 1, being at the top).
〔数〕帕斯卡三角形
Example sentencesExamples
One of these is Pascal's triangle which gives the coefficients needed to expand sums of unknowns up to the eighth power.
Of course this table is none other than Pascal's triangle for finding the binomial coefficients despite being viewed from a different angle from the way we build it up today.
Since Pascal's triangle can be generated by a simple geometric procedure, this method shows that there is geometric structure beneath questions of probability.
His use of a generalised version of Pascal's triangle is also explained.
He gives what today is called Pascal's triangle, up to the sixth row, saying that he learnt it from her treatise.