Arc length calculus3/15/2023 ![]() ![]() Thus, it is a doorway to much more complexity than relying on purely Newtonian Calculus, and produces results that appear magical and existentially reorders how we view everything from Force, to Energy, and Frequencies. Although, this new calculus creates more than a mere doubling of the exploration possible in mathematics compared to Newtonian Calculus, however, each equation blows up in a single step and always relies on ordinary calculus to complete the solution. Keywords-integral definition derivative definition derivative source form integral source form newton global technology management While the applications are relatively unconsidered, it may lead to an explanation of the deviation from the expectation that arises from ordinary calculus: margin for error in friction, or perhaps the variability in well-known constants often attributed to measurement accuracy and precision. But these remain algebraic and the standard idea of what calculus is called be called into question. This novel kind of calculus explicates an innate intricacy for even the simplest of equations to blow up and produce unintuitive results. Although, this cannot be used without first having standard Calculus, and leads to the necessity for non-zero real and imaginary components in all applications of NLALC (or Alcalculus), although this rule can be overlooked to produce working answers, just as ordinary calculus has its blindspots. ![]() However, Non-Linear (near-all) Calculus is a mere approximation compared to that of using an Arc Length derivation. The nature of modern mathematics often relies on calculus, referring back to the work of Isaac Newton. ![]()
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