Lectures On the Theory of Functions of Real Variables volume 2
The book Lectures On the Theory of Functions of Real Variables volume 2 was written by author James Pierpont Here you can read free online of Lectures On the Theory of Functions of Real Variables volume 2 book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Lectures On the Theory of Functions of Real Variables volume 2 a good or bad book?
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252. Multiplication. 1. LetH = {a{, ^3 = J5J have the cardinal numbers a, b. The union of all the pairs (a, b) forms a set called the product of 51 and 23. It is denoted by 51 23. We agree that (a, 6) shall be the same as (5, a). Then 51-23 = 23-51. We define the product of a and b to be Card 51 - 23 = Card 23 5T = a . B = b - a. 2. We have obviously the following formal relations as in finite cardinal numbers : a(b -c) = (a -b)c, a b = b a, a(b + c) = ab + ac, which express respectively the as...sociative, commutative, and dis- tripulative properties of cardinal numbers. Example 1. Let 5l=jaj, %> = \l\ denote the points on two indefinite right lines. Then If we take a, b to be the coordinates of a point in a plane 9? 2, * The reader should note that here, as in the immediately following articles, c is simply the cardinal number of ( which is any set, like 31, 53 294 AGGREGATES Example 2. Let 21 = \a\ denote the family of circles Let 33 = 5^! denote a set of segments of length b. We can interpret (#, 6) to be the points on a cylinder whose base is 1) and whose height is I.
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