Reals

The mathematical set of real numbers, defined as the union of the set of rationals and irrationals. i.e. $$I \cup Q$$ where $I$ is the set of irrationals and $Q$ is the set of rationals.

An object-oriented package for mathematical sets, upgrading the current gold-standard {sets}. Many forms of mathematical sets are implemented, including (countably finite) sets, tuples, intervals (countably infinite or uncountable), and fuzzy variants. Wrappers extend functionality by allowing symbolic representations of complex operations on sets, including unions, (cartesian) products, exponentiation, and differences (asymmetric and symmetric).

Raphael Sonabend

set6

R6 Mathematical Sets Interface

Franz Kiraly

Reals function

Constructor

<table><tr><td>
Argument </td>
<td> Type </td>
<td> Details </td>
</tr></table>

Constructor Arguments

Generally the <code>...</code> argument should be ignored, its primary use-case is for the child-classes.

Constructor Details

<table><tr><td>
Field </td>
<td> Link </td>
</tr><tr><td></td></tr></table><code>class</code> 
<td> <a rd-options="" href="/link/class?package=set6&version=0.1.1" data-mini-rdoc="set6::class">class</a> </td>
<tr><td>
<code>elements</code> </td>
<td> <a rd-options="" href="/link/elements?package=set6&version=0.1.1" data-mini-rdoc="set6::elements">elements</a> </td>
</tr><tr><td>
<code>length</code> </td>
<td> <a rd-options="" href="/link/length?package=set6&version=0.1.1" data-mini-rdoc="set6::length">length</a> </td>
</tr><tr><td>
<code>lower</code> </td>
<td> <a rd-options="" href="/link/lower?package=set6&version=0.1.1" data-mini-rdoc="set6::lower">lower</a> </td>
</tr><tr><td>
<code>upper</code> </td>
<td> <a rd-options="" href="/link/upper?package=set6&version=0.1.1" data-mini-rdoc="set6::upper">upper</a> </td>
</tr><tr><td>
<code>max</code> </td>
<td> <a rd-options="" href="/link/max?package=set6&version=0.1.1" data-mini-rdoc="set6::max">max</a> </td>
</tr><tr><td>
<code>min</code> </td>
<td> <a rd-options="" href="/link/min?package=set6&version=0.1.1" data-mini-rdoc="set6::min">min</a> </td>
</tr><tr><td>
<code>range</code> </td>
<td> <a rd-options="" href="/link/range?package=set6&version=0.1.1" data-mini-rdoc="set6::range">range</a> </td>
</tr><tr><td>
<code>properties</code> </td>
<td> <a rd-options="" href="/link/properties?package=set6&version=0.1.1" data-mini-rdoc="set6::properties">properties</a> </td>
</tr><tr><td>
<code>traits</code> </td>
<td> <a rd-options="" href="/link/traits?package=set6&version=0.1.1" data-mini-rdoc="set6::traits">traits</a> </td>
</tr><tr><td>
<code>type</code> </td>
<td> <a rd-options="" href="/link/type?package=set6&version=0.1.1" data-mini-rdoc="set6::type">type</a> </td>
</tr>

Public Fields

<table><tr><td>
Interval Methods </td>
<td> Link </td>
</tr><tr><td>
isSubinterval(x, proper = FALSE, all = FALSE) </td>
<td> <a rd-options="" href="/link/isSubinterval?package=set6&version=0.1.1" data-mini-rdoc="set6::isSubinterval">isSubinterval</a> </td>
</tr><tr><td>
</td>
<td> </td>
</tr><tr><td> </td>
<td> </td>
</tr><tr><td> </td>
<td> </td>
</tr><tr><td></td></tr></table>Comparison Methods 
<td> Link </td>
<tr><td>
<code>contains(x, all = FALSE, bound = NULL)</code> </td>
<td> <a rd-options="" href="/link/contains?package=set6&version=0.1.1" data-mini-rdoc="set6::contains">contains</a> </td>
</tr><tr><td>
<code>equals(x, all = FALSE)</code> </td>
<td> <a rd-options="" href="/link/equals?package=set6&version=0.1.1" data-mini-rdoc="set6::equals">equals</a> </td>
</tr><tr><td>
<code>isSubset(x, proper = FALSE, all = FALSE)</code> </td>
<td> <a rd-options="" href="/link/isSubset?package=set6&version=0.1.1" data-mini-rdoc="set6::isSubset">isSubset</a> </td>
</tr><tr><td>
</td>
<td> </td>
</tr><tr><td> </td>
<td> </td>
</tr><tr><td> </td>
<td> </td>
</tr><tr><td>
Representation Methods </td>
<td> Link </td>
</tr><tr><td>
<code>strprint(n = 2)</code> </td>
<td> <a rd-options="" href="/link/strprint?package=set6&version=0.1.1" data-mini-rdoc="set6::strprint">strprint</a> </td>
</tr><tr><td>
<code>print(n = 2)</code> </td>
<td> <a rd-options="" href="/link/print?package=set6&version=0.1.1" data-mini-rdoc="set6::print">print</a> </td>
</tr><tr><td>
<code>summary(n = 2)</code> </td>
<td> <a rd-options="" href="/link/summary?package=set6&version=0.1.1" data-mini-rdoc="set6::summary">summary</a> </td>
</tr>

Reals: Set of Real Numbers

Description

Value

Constructor

Constructor Arguments

Constructor Details

Public Fields

Public Methods

See Also

Examples

Interval Methods	Link
isSubinterval(x, proper = FALSE, all = FALSE)	isSubinterval

Field	Link