Every Complex Number Is a Real Number

212 Complex-valued functions In this section we will discuss complex-valued functions. Note the following steps to represent real numbers on a number line.

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That means that if x is.

. Hence it cannot be a real number. The other numbers are either rational or irrational. -5 is a complex number.

Thus they are real numbers. Suppose that f is a complex-valued function of a real variable. Find the value of b using the.

We start with a rather trivial case of a complex-valued function. Every point on the number line shows a unique real number. Therefore the real numbers from the list are 6 -3 315 and -12.

Notice that it follows from this deflnition that every open set is made out of the union of a possibly uncountable number of open disks.

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