Backward Difference
The backward difference is a Finite Difference defined by
 | (1) |
 |  |  | (2) |
|  | ||
|  | (3) |
In general,
 | (4) |
is a Binomial Coefficient.Newton's Backward Difference Formula expresses 
as the sum of the 
th backward differences
 | (5) |
is the first th difference computed from the difference table.See also Adams' Method,Difference Equation, Divided Difference, Finite Difference, Forward Difference,Newton's Backward Difference Formula, Reciprocal Difference
References
Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, pp. 429 and 433, 1987.
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- Osedelec Theorem
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