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Nest
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Nest
Examples
open allclose allBasic Examples (2)Summary of the most common use cases
Scope (4)Survey of the scope of standard use cases
Nesting a function can build a formula:
https://wolfram.com/xid/0dek1w-2u05s4
Nesting can return a single number:
https://wolfram.com/xid/0dek1w-2i7ycf
The nested function can operate on a list:
https://wolfram.com/xid/0dek1w-4up6f6
Apply the operator form to different starting expressions:
https://wolfram.com/xid/0dek1w-fuy528
https://wolfram.com/xid/0dek1w-15vvfa
Generalizations & Extensions (2)Generalized and extended use cases
Applications (8)Sample problems that can be solved with this function
https://wolfram.com/xid/0dek1w-ct0yva
https://wolfram.com/xid/0dek1w-swu
Growth of annually compounded capital in 10 years:
https://wolfram.com/xid/0dek1w-e8b3i6
https://wolfram.com/xid/0dek1w-ctc
https://wolfram.com/xid/0dek1w-ut7
Consecutive pairs of Fibonacci numbers:
https://wolfram.com/xid/0dek1w-12xsri
Functional composition for higher-order Newton iteration (for ):
https://wolfram.com/xid/0dek1w-b6zulo
https://wolfram.com/xid/0dek1w-fov8oj
Generate a bifurcation diagram for an iterated logistic map:
https://wolfram.com/xid/0dek1w-bmhqym
Properties & Relations (6)Properties of the function, and connections to other functions
Nest gives the last element of NestList:
https://wolfram.com/xid/0dek1w-3bceqt
https://wolfram.com/xid/0dek1w-xm9p6u
Nest is effectively Composition using the same function multiple times:
https://wolfram.com/xid/0dek1w-585qz
https://wolfram.com/xid/0dek1w-pdh5ax
Use RSolve to symbolically compute Nest operations:
https://wolfram.com/xid/0dek1w-68aq2
https://wolfram.com/xid/0dek1w-ov74q
https://wolfram.com/xid/0dek1w-bwdboj
Different length compositions or nests give the same result:
https://wolfram.com/xid/0dek1w-bzeudk
https://wolfram.com/xid/0dek1w-qgpn9d
FixedPoint automatically goes on until the result no longer changes:
https://wolfram.com/xid/0dek1w-prn
https://wolfram.com/xid/0dek1w-o1l
NestWhile goes on while a condition is true:
https://wolfram.com/xid/0dek1w-lzz6m2
Fold automatically inserts second arguments from a list:
https://wolfram.com/xid/0dek1w-9q
https://wolfram.com/xid/0dek1w-ffp
Neat Examples (4)Surprising or curious use cases
https://wolfram.com/xid/0dek1w-rui
https://wolfram.com/xid/0dek1w-zdz
https://wolfram.com/xid/0dek1w-dy6
https://wolfram.com/xid/0dek1w-dpq
https://wolfram.com/xid/0dek1w-y16
https://wolfram.com/xid/0dek1w-bghitt
https://wolfram.com/xid/0dek1w-cqgvrj
Wolfram Research (1988), Nest, Wolfram Language function, https://reference.wolfram.com/language/ref/Nest.html (updated 2024).
Text
Wolfram Research (1988), Nest, Wolfram Language function, https://reference.wolfram.com/language/ref/Nest.html (updated 2024).
Wolfram Research (1988), Nest, Wolfram Language function, https://reference.wolfram.com/language/ref/Nest.html (updated 2024).
CMS
Wolfram Language. 1988. "Nest." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2024. https://reference.wolfram.com/language/ref/Nest.html.
Wolfram Language. 1988. "Nest." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2024. https://reference.wolfram.com/language/ref/Nest.html.
APA
Wolfram Language. (1988). Nest. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Nest.html
Wolfram Language. (1988). Nest. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Nest.html
BibTeX
@misc{reference.wolfram_2024_nest, author="Wolfram Research", title="{Nest}", year="2024", howpublished="\url{https://reference.wolfram.com/language/ref/Nest.html}", note=[Accessed: 11-January-2025
]}
BibLaTeX
@online{reference.wolfram_2024_nest, organization={Wolfram Research}, title={Nest}, year={2024}, url={https://reference.wolfram.com/language/ref/Nest.html}, note=[Accessed: 11-January-2025
]}