: Mathematics: rectangular function

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rectangular function

The rectangular function (also known as the rectangle function, rect function, Pi function, Heaviside Pi function, gate function, unit pulse, or the normalized boxcar function) is defined as ${\\displaystyle \\operatorname {rect} \\left({\ rac {t}{a}}\ ight)=\\Pi \\left({\ rac {t}{a}}\ ight)=\\left\\{{\egin{array}{rl}0,&{\ ext{if }}|t|>{\ rac {a}{2}}\\\\{\ rac {1}{2}},&{\ ext{if }}|t|={\ rac {a}{2}}\\\\1,&{\ ext{if }}|t|<{\ rac {a}{2}}.\\end{array}}\ ight.}$
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Rectangular_function)

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