NegativeReals
✖
NegativeReals
Details
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- x∈NegativeReals evaluates immediately if x is a numeric quantity.
- Simplify[expr∈NegativeReals,assum] can be used to try to determine whether an expression corresponds to a negative real number under the given assumptions.
- (x1x2…)∈NegativeReals and {x1,x2,…}∈NegativeReals test whether all xi are negative real numbers.
- NegativeReals is output in StandardForm and TraditionalForm as
. This typeset form can be input using
nreals
.
Examples
open allclose allBasic Examples (3)Summary of the most common use cases
Scope (4)Survey of the scope of standard use cases
Test if a numeric quantity is negative:
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https://wolfram.com/xid/0h2ps47ut9-yalfdo
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Make domain membership assumptions:
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https://wolfram.com/xid/0h2ps47ut9-ngh5dk
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https://wolfram.com/xid/0h2ps47ut9-oaezsv
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Specify the default domain over which a function should work:
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https://wolfram.com/xid/0h2ps47ut9-g9ic3l
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https://wolfram.com/xid/0h2ps47ut9-muk485
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Test whether several numbers are negative reals:
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https://wolfram.com/xid/0h2ps47ut9-3pjyzh
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If any number is explicitly not a negative number, the result is False:
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https://wolfram.com/xid/0h2ps47ut9-m7ag79
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Applications (1)Sample problems that can be solved with this function
Properties & Relations (4)Properties of the function, and connections to other functions
Membership in NegativeReals is equivalent to membership in Reals along with negativity:
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https://wolfram.com/xid/0h2ps47ut9-bus6sg
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NegativeReals contains NegativeRationals and NegativeIntegers:
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https://wolfram.com/xid/0h2ps47ut9-culh0e
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https://wolfram.com/xid/0h2ps47ut9-v8w60t
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NegativeReals is contained in Complexes:
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https://wolfram.com/xid/0h2ps47ut9-ciam4c
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NegativeReals is disjoint from NonNegativeReals and PositiveReals:
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https://wolfram.com/xid/0h2ps47ut9-3ius3z
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https://wolfram.com/xid/0h2ps47ut9-pe30t4
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Wolfram Research (2019), NegativeReals, Wolfram Language function, https://reference.wolfram.com/language/ref/NegativeReals.html.
Text
Wolfram Research (2019), NegativeReals, Wolfram Language function, https://reference.wolfram.com/language/ref/NegativeReals.html.
Wolfram Research (2019), NegativeReals, Wolfram Language function, https://reference.wolfram.com/language/ref/NegativeReals.html.
CMS
Wolfram Language. 2019. "NegativeReals." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/NegativeReals.html.
Wolfram Language. 2019. "NegativeReals." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/NegativeReals.html.
APA
Wolfram Language. (2019). NegativeReals. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NegativeReals.html
Wolfram Language. (2019). NegativeReals. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NegativeReals.html
BibTeX
@misc{reference.wolfram_2025_negativereals, author="Wolfram Research", title="{NegativeReals}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/NegativeReals.html}", note=[Accessed: 18-February-2025
]}
BibLaTeX
@online{reference.wolfram_2025_negativereals, organization={Wolfram Research}, title={NegativeReals}, year={2019}, url={https://reference.wolfram.com/language/ref/NegativeReals.html}, note=[Accessed: 18-February-2025
]}