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In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by the equivalent sum of products, continuing until the expression becomes a ...
As the exterior product is associative brackets are not needed as it does not matter which of a ∧ b or b ∧ c is calculated first, though the order of the vectors in the product does matter. Geometrically the trivector a ∧ b ∧ c corresponds to the parallelepiped spanned by a , b , and c , with bivectors a ∧ b , b ∧ c and a ∧ c ...
The trinomial expansion can be calculated by applying the binomial expansion twice, setting = +, which leads to (+ +) = (+) = = = = (+) = = = ().Above, the resulting (+) in the second line is evaluated by the second application of the binomial expansion, introducing another summation over the index .
Pages with many brackets or large brackets, especially those containing flag icons, may come close to or exceed Wikipedia's Post-expand include size limit. In these cases consider using modules directly instead: {{8TeamBracket}} can be replaced with {{#invoke:bracket|8TeamBracket}}.
But to make subcategorization easier, the specific Expand language template for a given language will categorize the article into a subcategory automatically, if the correct association between topic code and topic name appears in the wikicode of the template. Edit the specific Expand language template for the given language; for example, for ...
This template inserts a square opening bracket [. Setting parameter 1 to 2 can be used to make it a double: {{Square bracket open|2}} → [[. Can be used to create a wikilink within a template, when using brackets directly might cause wrong parsing (since it can be read as an opening for a link).
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