Normal

Normal[expr]

converts expr to a normal expression from a variety of special forms.

Normal[expr,h]

converts objects with head h in expr to normal expressions.

Normal[expr,{h1,h2,}]

converts objects with head hi to normal expressions.

Details

Examples

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Basic Examples  (3)

Create a normal dense list from a sparse array:

Create a normal expression from a series expansion:

Convert an association to a list of rules:

Normal acts on the first level only:

Scope  (5)

Convert RootSum objects to Root objects:

Typically the RootSum objects will give more accurate numerical values:

Convert from a GraphicsComplex object to graphics primitives:

Both forms produce the same image:

Normal will affect expressions nested inside other expressions:

Normal converts different types of expressions by default:

Convert only the sparse array:

Normalize the series and the association but not the sparse array:

Convert CylindricalDecompositionFunction to equations and inequalities:

Applications  (1)

Compare the actual error to the theoretical asymptotic error for a difference quotient:

Power series about :

Asymptotic truncation error for small :

Compare actual and asymptotic errors as a function of for at :

With higher precision, the asymptotic error holds for smaller :

Properties & Relations  (1)

For f that work with SparseArray objects s, often Normal[f[s]]===f[Normal[s]]:

Wolfram Research (1988), Normal, Wolfram Language function, https://reference.wolfram.com/language/ref/Normal.html (updated 2015).

Text

Wolfram Research (1988), Normal, Wolfram Language function, https://reference.wolfram.com/language/ref/Normal.html (updated 2015).

BibTeX

@misc{reference.wolfram_2021_normal, author="Wolfram Research", title="{Normal}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/Normal.html}", note=[Accessed: 17-June-2021 ]}

BibLaTeX

@online{reference.wolfram_2021_normal, organization={Wolfram Research}, title={Normal}, year={2015}, url={https://reference.wolfram.com/language/ref/Normal.html}, note=[Accessed: 17-June-2021 ]}

CMS

Wolfram Language. 1988. "Normal." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015. https://reference.wolfram.com/language/ref/Normal.html.

APA

Wolfram Language. (1988). Normal. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Normal.html