UpTo

UpTo[n]

is a symbolic specification that represents up to n objects or positions. If n objects or positions are available, all are used. If fewer are available, only those available are used.

Examples

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Basic Examples  (7)

Take up to the number of elements available:

Drop up to the number of elements available:

Take up to the number of elements available, dropping what remains, if anything:

Partition into blocks that are up to 3 elements long; the last block is shorter:

Give the 10 most common elements, or as many as are available:

Give the order of the 10 smallest elements, or as many as are available:

Give the maximum height and width of a graphic:

Scope  (7)

Take up to 20 characters from a string:

Find the 4 largest eigenvalues in a matrix, or as many as there are if fewer:

Create a "ragged" partition where last elements can be shorter:

Obtain the 6 most common elements, or as many as there are if fewer:

Generate a random sample of up to 6 elements, or as many as there are if fewer:

Obtain the first 4 minimal elements, or as many as are available:

Partition an image so that lengths are up to 36 pixels and heights are up to 28 pixels:

Properties & Relations  (2)

Cases behaves as though it implicitly uses UpTo:

You can give an explicit UpTo specification to Cases:

ImageTake behaves as though it implicitly uses UpTo:

You can give an explicit UpTo specification to ImageTake:

Wolfram Research (2015), UpTo, Wolfram Language function, https://reference.wolfram.com/language/ref/UpTo.html.

Text

Wolfram Research (2015), UpTo, Wolfram Language function, https://reference.wolfram.com/language/ref/UpTo.html.

CMS

Wolfram Language. 2015. "UpTo." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/UpTo.html.

APA

Wolfram Language. (2015). UpTo. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/UpTo.html

BibTeX

@misc{reference.wolfram_2024_upto, author="Wolfram Research", title="{UpTo}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/UpTo.html}", note=[Accessed: 17-December-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_upto, organization={Wolfram Research}, title={UpTo}, year={2015}, url={https://reference.wolfram.com/language/ref/UpTo.html}, note=[Accessed: 17-December-2024 ]}