Empty sum
In
mathematics, the empty sum, or nullary sum, is the result of
adding no numbers.
Its numerical value is zero.
This fact is especially useful and helpful in discrete mathematics and algebra.
A simple, well known case is that 0
a = 0 -- multiplication of any number
a by zero always results in zero, because you have added zero copies of
a, which is no numbers at all.
Encyclopedia
In
mathematics, the
empty sum, or
nullary sum, is the result of
adding no numbers.
Its numerical value is zero.
This fact is especially useful and helpful in discrete mathematics and algebra.
A simple, well known case is that 0
a = 0 -- multiplication of any number
a by zero always results in zero, because you have added zero copies of
a, which is no numbers at all.