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For any integer n, the last decimal digit of n 5 is the same as the last (decimal) digit of n, i.e. ()By the Abel–Ruffini theorem, there is no general algebraic formula (formula expressed in terms of radical expressions) for the solution of polynomial equations containing a fifth power of the unknown as their highest power.
Von Ranke, for example, professionalized history and set the world standard for historiography. By the 1830s mathematics, physics, chemistry, and biology had emerged with world class science, led by Alexander von Humboldt in natural science and Carl Friedrich Gauss in mathematics. Young intellectuals often turned to politics, but their support ...