Faustus Mortal: Today I will discuss the most remarkable formula in mathematics. It is known as Euler’s formula, written as e^(i*t) = cos(t) + i*sin(t), where i = (-1)^(1/2). Above, t is any real number, e is the base of the natural logarithms, sin and cos are the trigonometric functions sine and cosine, and ‘i’ is the imaginary unit. Here, in this concise equation, are the essences of complex analysis. Toy Euler: cool. Faustus Mortal: One special case, which Euler is claimed to be a representation of the deity, is when t = pi. We have e^(i p) + 1 = 0 or e^(i pi) = -1. A parsimony of numbers and symbols spanning all of mathematics: real, imaginary, exponentiation… With one ‘e,’ one ‘i,’ one carat ‘^,’ one equal sign ‘=,’ and, depending on your philosophy, one plus sign and a zero or one minus sign. Toy Euler smiles. Faustus Mortal: But let me introduce to you not the representation of the deity but the devil’s equation: e^(pi^2/2) = 139.0456367. Toy Euler: Did you say ‘the. Other than a few Mages such as Jerhz and Mergna we started training on New Azurana, there are no Malakha High Mages. The Sidhe would have killed any off who came close to higher magic. Our allies, particularly the Craebh Ruadh have also provided several combat Mages who are augmenting Hinnit’s fighting band and keeping them safe,” Morgana stated.“I know, Mage Morgana. I just can’t get over how easy it is and keep expecting the hammer to fall,” Rinku replied with deference.“Surprise, better weaponry and defence armour as well as some severe tactical mistakes on their part all help, Rinku,” Arch replied.“Yes,” she replied and then shrugged. “Just glad it’s going so well.”“As are we all,” Morgana replied as we approached a massive and seriously warded door. “Set a point for Null and remove the wards, John,” she ordered.“Is Mage Roxanne clear of the fortress, Seer Adsila?” I asked.“Yes, her group are trying to track down the High Malakha who fled when they realised there was no way they.
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