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3.12 Nonlinear Simplification Techniques 417
SimplifySamplePoints returns a sparsed list of sample points such that the function values,
evaluated on adjacent points, do not exceed the given tolerance. The argument range must be a
valid parameter sweep specification as described in Section 3.7.2. If range is a n-dimensional sweep
range then func must be a function of n arguments which returns a single real number.
SimplifySamplePoints provides the following options:
option name
default value
ReturnSymbols True whether to return a list of rules or a list of
numerical values
SearchDirections All specifies the direction in which to search for
adjacent points
Options for SimplifySamplePoints.
See also: Section 3.7.2.
Options Description
ReturnSymbols
If ReturnSymbols is set to True, the sparsed list is returned as a flat list of rules. If it is set
to False, the sparsed list is returned as a flat list of numerical values. In the former case the return
value is a valid parameter sweep specification and can be used as argument to NonlinearSetup
(Section 3.12.1). The default setting is ReturnSymbols −> True.
SearchDirections
The option SearchDirections specifies the direction in which to search for adjacent points. The
value can be All or a list of symbols which appear in the given parameter sweep. If the value is
a list of symbols, adjacent points are only searched for the given variables. The default setting is
SearchDirections −> All which means to search in all directions.
3.12.5 NonlinearSettings
NonlinearSettings[dae]
prints all settings for nonlinear simplifications stored in dae
Command structure of NonlinearSettings.