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The function call define_zero(err) sets the absolute size of the minimum nonzero quantity. The function call define_zero() simply reports the current absolute size of the minimum nonzero quantity.

Its initial magnitude depends on the setting of Digits. It can be independently specified as a new error tolerance as the argument to define_zero.

The command with(simplex,define_zero) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{simplex}\right)\:$

$\mathrm{define\_zero}\left(\right)$

$1.000000000\times {10}^{\mathrm{-8}}$

$\mathrm{Digits}≔50$

$\mathrm{Digits}≔50$

$\mathrm{define\_zero}\left(\right)$

$1.0000000000000000000000000000000000000000000000000\times {10}^{\mathrm{-48}}$

$\mathrm{Digits}≔4$

$\mathrm{Digits}≔4$

$\mathrm{define\_zero}\left(\right)$

$0.01000$

$\mathrm{define\_zero}\left({10}^{-8}\right)$

$1.000\times {10}^{\mathrm{-8}}$

$\mathrm{define\_zero}\left(\right)$

$1.000\times {10}^{\mathrm{-8}}$