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The complement of a set A is the set of all elements that are not in A. In LaTeX, the complement of a set can be represented using the \complement
command from the amssymb
package.
The complement of a set A is the set of all elements that are not in A. In LaTeX, the complement of a set can be represented using the \complement
command from the amssymb
package.
To write the complement of a set A in LaTeX, use the following command:
$$
A^\complement
$$
$$ A^\complement $$
This represents the complement of set A.
Here are some examples of using the \complement
command:
$$
\mathbb{R}^\complement = \varnothing
$$
$$ \mathbb{R}^\complement = \varnothing $$
This represents the complement of the set of real numbers, which is the empty set.
$$
\mathcal{P}(\mathbb{N})^\complement = \varnothing
$$
$$ \mathcal{P}(\mathbb{N})^\complement = \varnothing $$
This represents the complement of the power set of natural numbers, which is also the empty set.
Remember that to use the \complement
command in LaTeX, you need to include the package amssymb
in the preamble of your LaTeX document.