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In mathematics, brackets of various typographical forms, such as parentheses ( ), square brackets [ ], braces { } and angle brackets , are frequently used in mathematical notation. Generally, such bracketing denotes some form of grouping: in evaluating an expression containing a bracketed sub-expression, the operators in the sub-expression take ...
The notation uses angle brackets, and , and a vertical bar |, to construct "bras" and "kets". A ket is of the form | v {\displaystyle |v\rangle } . Mathematically it denotes a vector , v {\displaystyle {\boldsymbol {v}}} , in an abstract (complex) vector space V {\displaystyle V} , and physically it represents a state of some quantum system.
Macaulay's notation is commonly used in the static analysis of bending moments of a beam. This is useful because shear forces applied on a member render the shear and moment diagram discontinuous.
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 ...
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A collapsible element contains a toggle a reader can use to show or hide the element's content. Elements are made collapsible by adding the mw-collapsible class, or alternatively by using the {{}} template, or its variants {{Collapse top}} and {{Collapse bottom}}.
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Code folding example on PHP code with Vim. Code or text folding, or less commonly holophrasting, [1] is a feature of some graphical user interfaces that allows the user to selectively hide ("fold") or display ("unfold") parts of a document.