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Complete knowledge of the nature of an analytic function must also include insight into its behavior for imaginary values of the arguments. Often the latter is indispensable even for a proper appreciation of the behavior of the function for real arguments. It is therefore essential that the original determination of the function concept be broadened to a domain of magnitudes which includes both the real and the imaginary quantities, on an equal footing, under the single designation complex numbers.
Another last-minute, good-deed job,” Royce grumbled as he stuffed supplies into his saddlebag. “True,” Hadrian said, slinging his sword belt over his shoulder, “but this is at least a paying job.” “You should have told him the real reason we saved him from Trumbul— because we wouldn’t see the hundred tenents otherwise.” “That was your reason. Besides, how often do we get to do royal contracts? If word gets around, we’ll be able to command top salaries.” “If word gets around, we’ll be hanged.

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