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MaxExtraConditions
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MaxExtraConditions

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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

open allclose all

Basic Examples  (1)Summary of the most common use cases

This system has no generic solutions:

In[1]:=1
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https://wolfram.com/xid/0c0o59yrgycgj-2fqw4
Out[1]=1

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

In[2]:=2
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https://wolfram.com/xid/0c0o59yrgycgj-r58a3v
Out[2]=2

This gives solutions with arbitrary conditions on parameters:

In[3]:=3
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https://wolfram.com/xid/0c0o59yrgycgj-vwfwex
Out[3]=3

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

In[4]:=4
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https://wolfram.com/xid/0c0o59yrgycgj-bf4khj
Out[4]=4
In[5]:=5
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https://wolfram.com/xid/0c0o59yrgycgj-t8w84h
Out[5]=5
In[6]:=6
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https://wolfram.com/xid/0c0o59yrgycgj-xmk37
Out[6]=6

Scope  (2)Survey of the scope of standard use cases

Equational conditions on discrete parameters are always allowed:

In[1]:=1
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https://wolfram.com/xid/0c0o59yrgycgj-vgpu0d
Out[1]=1

By default, Solve drops inequation conditions on continuous parameters:

In[1]:=1
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https://wolfram.com/xid/0c0o59yrgycgj-dnfv8h
Out[1]=1

With MaxExtraConditions->All, Solve includes all conditions:

In[2]:=2
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https://wolfram.com/xid/0c0o59yrgycgj-i5f1qz
Out[2]=2
Wolfram Research (2010), MaxExtraConditions, Wolfram Language function, https://reference.wolfram.com/language/ref/MaxExtraConditions.html.
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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.

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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.

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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

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

BibTeX

@misc{reference.wolfram_2025_maxextraconditions, author="Wolfram Research", title="{MaxExtraConditions}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/MaxExtraConditions.html}", note=[Accessed: 12-May-2025 ]}

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@misc{reference.wolfram_2025_maxextraconditions, author="Wolfram Research", title="{MaxExtraConditions}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/MaxExtraConditions.html}", note=[Accessed: 12-May-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_maxextraconditions, organization={Wolfram Research}, title={MaxExtraConditions}, year={2010}, url={https://reference.wolfram.com/language/ref/MaxExtraConditions.html}, note=[Accessed: 12-May-2025 ]}

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@online{reference.wolfram_2025_maxextraconditions, organization={Wolfram Research}, title={MaxExtraConditions}, year={2010}, url={https://reference.wolfram.com/language/ref/MaxExtraConditions.html}, note=[Accessed: 12-May-2025 ]}