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# Optimism -- Option to highSyzygy

- Usage:
    `highSyzygy(M, Optimism => 1)`
- Inputs:
  - Optimism, an integer,

## Description

If highSyzygy(M) chooses the p-th syzygy, then highSyzygy(M,Optimism=>r) chooses the (p-r)-th syzygy. (Positive Optimism chooses a lower "high" syzygy, negative Optimism a higher "high" syzygy.

## Caveat

Are there cases when positive Optimism is justified?

## See also

- mfBound -- determines how high a syzygy to take for "matrixFactorization"
- highSyzygy -- Returns a syzygy module one beyond the regularity of Ext(M,k)

## Functions with optional argument named Optimism:

- `highSyzygy(...,Optimism=>...)` -- see highSyzygy -- Returns a syzygy module one beyond the regularity of Ext(M,k)
- `twoMonomials(...,Optimism=>...)` -- see twoMonomials -- tally the sequences of BRanks for certain examples

## For the programmer

The object Optimism is a symbol.

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/CompleteIntersectionResolutions.m2:3165:0.