A nice way to see what Reduce() is doing is to run it with its argument accumulate=TRUE. When accumulate=TRUE, it will return a vector or list in which each element shows its state after processing the first n elements of the list in x. Here are a couple of examples:
list第一项和第二项通过指定的函数或运算变成一项，再与第三期项通过指定的函数或运算变成下一项，如此类推,与apply 或dplyr::map不太一样，后者是将指定函数应用于list的每项上
Reduce(`*`, x=list(5,4,3,2), accumulate=TRUE)
# [1] 5 20 60 120
i2 <- seq(0,100,by=2)
i3 <- seq(0,100,by=3)
i5 <- seq(0,100,by=5)
Reduce(intersect, x=list(i2,i3,i5), accumulate=TRUE)
# [[1]]
# [1] 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36
# [20] 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74
# [39] 76 78 80 82 84 86 88 90 92 94 96 98 100
#
# [[2]]
# [1] 0 6 12 18 24 30 36 42 48 54 60 66 72 78 84 90 96
#
# [[3]]
# [1] 0 30 60 90
