MaxExtraConditions

MaxExtraConditions

is an option to Solve and related functions that specifies how many extra equational conditions on continuous parameters to allow in solutions that are given.

Details

  • Solve gives generic solutions only. Solutions that are valid only when continuous parameters satisfy equations are removed. Additional solutions can be obtained by using nondefault settings for MaxExtraConditions.
  • The following settings can be used:
  • 0 (None)include solutions that require no equations on continuous parameters
    kinclude solutions that require up to k equations on continuous parameters
    Infinityinclude all solutions
    Allinclude all solutions and all conditions
    Automaticinclude solutions that require the minimal number of equations on continuous parameters
  • With the setting MaxExtraConditions->All, all conditions are included. Other settings will exclude inequations and NotElement conditions on continuous parameters.

Examples

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Basic Examples  (1)

This system has no generic solutions:

This gives solutions that require the minimal number of equational conditions:

This gives solutions with arbitrary conditions on parameters:

You can specify the maximal number of equations on parameters to allow:

Scope  (2)

Equational conditions on discrete parameters are always allowed:

By default, Solve drops inequation conditions on continuous parameters:

With MaxExtraConditions->All, Solve includes all conditions:

Wolfram Research (2010), MaxExtraConditions, Wolfram Language function, https://reference.wolfram.com/language/ref/MaxExtraConditions.html.

Text

Wolfram Research (2010), MaxExtraConditions, Wolfram Language function, https://reference.wolfram.com/language/ref/MaxExtraConditions.html.

CMS

Wolfram Language. 2010. "MaxExtraConditions." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/MaxExtraConditions.html.

APA

Wolfram Language. (2010). MaxExtraConditions. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/MaxExtraConditions.html

BibTeX

@misc{reference.wolfram_2024_maxextraconditions, author="Wolfram Research", title="{MaxExtraConditions}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/MaxExtraConditions.html}", note=[Accessed: 21-December-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_maxextraconditions, organization={Wolfram Research}, title={MaxExtraConditions}, year={2010}, url={https://reference.wolfram.com/language/ref/MaxExtraConditions.html}, note=[Accessed: 21-December-2024 ]}