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# makeALDifferential -- "makes the differential used in ciOperatorResolution"

- Usage:
    `dj = makeALDifferential(j, A, L, u)`
- Inputs:
  - j, an integer, which differential
  - A, a chain complex, lift of resolution from complete intersection S-->R
  - L, a chain complex, Koszul complex resolving R over S
  - u, a hash table, output of higherCIOperators
- Outputs:
  - dj, a matrix, j-th differential of the ciOperatorResolution AL

## See also

- ciOperatorResolution -- "lift resolution from complete intersection using higher ci-operators"
- higherCIOperators -- "creates the HashTable of higher CI operators on a lifted resolution"

## Ways to use makeALDifferential:

- `makeALDifferential(ZZ,ChainComplex,ChainComplex,HashTable)`

## For the programmer

The object makeALDifferential is a method function.

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/HigherCIOperators.m2:368:0.