Everything about Empty Sum totally explained
In
mathematics, the
empty sum, or
nullary sum, is the result of
adding no numbers, in
summation for example. 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've added zero copies of
a, which is no numbers at all.
Many people find the empty sum easier to grasp than the
empty product — the
product of no numbers — whose value isn't zero, but
one.
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