is an option that specifies how parameters generated to represent the results of various symbolic operations should be named.
GeneratedParameters
is an option that specifies how parameters generated to represent the results of various symbolic operations should be named.
Details
- The typical default setting is GeneratedParameters->C .
- The setting GeneratedParameters->f specifies that successive generated parameters should be named f[1], f[2], ….
- In typical cases, the f[i] are used to parameterize families of solutions to equations.
- The f[i] usually correspond to free parameters, but are also sometimes used to represent arbitrary functions.
- The f[i] have indices that start at 1 for each invocation of a particular symbolic operation.
- GeneratedParameters->(Module [{C },C ]&) guarantees that parameters are unique, even across different invocations of a function.
- GeneratedParameters is an option to such functions as DSolve , RSolve , and Reduce .
Examples
open all close allBasic Examples (4)
General solution of algebraic equation:
General solution of differential equation:
General solution of difference equation:
General expression for an indefinite integral:
Scope (5)
Special solutions:
Use a different symbol:
Use a subscripted symbol:
Start index at 0:
General solution to partial differential equation:
Special solution:
Tech Notes
History
Introduced in 2003 (5.0)
Text
Wolfram Research (2003), GeneratedParameters, Wolfram Language function, https://reference.wolfram.com/language/ref/GeneratedParameters.html.
CMS
Wolfram Language. 2003. "GeneratedParameters." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GeneratedParameters.html.
APA
Wolfram Language. (2003). GeneratedParameters. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeneratedParameters.html
BibTeX
@misc{reference.wolfram_2025_generatedparameters, author="Wolfram Research", title="{GeneratedParameters}", year="2003", howpublished="\url{https://reference.wolfram.com/language/ref/GeneratedParameters.html}", note=[Accessed: 06-January-2026]}
BibLaTeX
@online{reference.wolfram_2025_generatedparameters, organization={Wolfram Research}, title={GeneratedParameters}, year={2003}, url={https://reference.wolfram.com/language/ref/GeneratedParameters.html}, note=[Accessed: 06-January-2026]}