21127 Study Guide - Quiz Guide: The Takeaway

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1 1 = i i = i2 = 1 (note: we won"t have cause to discuss the complex numbers c in this course, just in this example. ) We assume (as one of our axioms) that x y = x y holds true. However, that fact holds in the context of r, the real numbers. The above equation shows that it does not hold in all contexts. It"s important to be clear about what your variables mean, what types of objects they are. This is exactly like computer programming, where you need to declare a variable as an int or float or what have you. This is actually a bad question to ask because, in the context of n, Even in the context of q, the number this later on! For all real numbers, x and y, that satisfy 0 < x < y, we also know that and. 0 < x is always interpreted as the positive root.