MHB Why do most mathematics literature use 2L for the period of a function?

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Most mathematics literature uses 2L for the period of a function due to its connection with the periodic nature of trigonometric functions, particularly sine and cosine, which have a period of 2π. This choice also aligns with applications in physics, such as the heat equation for a rod of length L, where periodicity is essential for modeling. The use of 2L allows for a consistent framework when analyzing functions over defined intervals. Additionally, this convention simplifies calculations in various mathematical contexts. Understanding this relationship enhances clarity in mathematical literature and applications.
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Why do most mathematics literature use 2L for the period of a function? Is it related to heat equation with a rod of length L?
 
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Possibly because the period of four of the trig functions (not including tangent and cotangent) is ##2\pi##.
 
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