I think you mistyped J code. I don't know any J but what I understood from your comment that it should be something like
</ +. >/ *.You are right, the correct code is .</ +. >./
To understand this you need to know that >. and <. are the min and max functions, and that in J three functions separated by spaces, f g h, constitutes a new function mathematically defined by (f g h)(x) = g(f(x), h(x)). An example is (+/ % #) which applied to a list gives the mean of the list. Here +/ gives the total, # gives the number of elements and % is the quotient.
> So if floor is <. you can guess what will be the symbol for roof.
Based on the examples, no, I cannot. It could be either of <: and >.
Just for a short comparison, In J the analogous code is </ +. >/
The matrix m, the sum of the rows, and the maximum of the sum of the rows in J (separated by ;)