In mathematics, the empty sum, or nullary sum, is the result of adding no numbers, in summation for example. Mathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and Addition is the mathematical process of putting things together Its numerical value is zero.

This fact is especially useful and helpful in discrete mathematics and algebra. Discrete mathematics, also called finite mathematics, is the study of mathematical structures that are fundamentally discrete in the sense of not supporting or requiring the Elementary algebra is a fundamental and relatively basic form of Algebra taught to students who are presumed to have little or no formal knowledge of Mathematics beyond 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. Many people find the empty sum easier to grasp than the empty product — the product of no numbers — whose value is not zero, but one. In Mathematics, an empty product, or nullary product, is the result of multiplying no numbers Mathematics For any number x: x ·1 = 1· x = x (1 is the multiplicative identity

References

• A. E. Ingham, contributor R C Vaughan, The Distribution of Prime Numbers, Cambridge University Press, 1990, ISBN 0-521-39789-8

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