BUILT-IN WOLFRAM LANGUAGE SYMBOL

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.

DetailsDetails

  • 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.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

This system has no generic solutions:

In[1]:=
Click for copyable input
Out[1]=

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

In[2]:=
Click for copyable input
Out[2]=

This gives solutions with arbitrary conditions on parameters:

In[3]:=
Click for copyable input
Out[3]=

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

In[4]:=
Click for copyable input
Out[4]=
In[5]:=
Click for copyable input
Out[5]=
In[6]:=
Click for copyable input
Out[6]=
Introduced in 2010
(8.0)