The purpose is completely different! Here&#x27;s one of several important reasons.<p>You wouldn&#x27;t survive doing math with longer variable names. Imagine yourself writing &quot;time&quot; every time you need to write it in a formula in the course of a working on a problem. Just expand the following expression (time + 2)(2time - 3)(4time + 5) by hand, writing &quot;time&quot; every time. Or imagine studying vector calculus and writing out the formulas with the long names like &quot;grad&quot;, &quot;curl&quot;, etc. That kind of notation was replaces with the nabla symbol and overloaded notation for a very good reason.<p>Also, most derivations, for simple formulas even, go through larger complexities before they converge to something slick. Take a look at the derivation of the Navier-Stokes equations [1] and see if you could have done the same thing with longer variable, function and operator names.<p>So yea, it all boils down to repetition and quantity.<p>[1]: <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Derivation_of_the_Navier%E2%80%93Stokes_equations" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Derivation_of_the_Navier%E2%80...</a>