Empty sum

In mathematics Mathematics

Mathematics is the discipline that deals with concepts such as quantity [i], structure [i], space [i] a ... 

, the empty sum, or nullary sum, is the result of adding Addition

Addition is the mathematical operation [i] of increasing one amount by another. ... 

 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 0a = 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.

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Encyclopedia

In mathematics Mathematics

Mathematics is the discipline that deals with concepts such as quantity [i], structure [i], space [i] a ... 

, the empty sum, or nullary sum, is the result of adding Addition

Addition is the mathematical operation [i] of increasing one amount by another. ... 

 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 0a = 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.
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