Lectures On the Theory of Functions of Real Variables volume 2
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In our eReader you can find the full English version of the book. Read Lectures On the Theory of Functions of Real Variables volume 2 Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Lectures On the Theory of Functions of Real Variables volume 2
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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.
What to read after Lectures On the Theory of Functions of Real Variables volume 2?
You can find similar books in the "Read Also" column, or choose other free books by James Pierpont to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
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.
What to read after Lectures On the Theory of Functions of Real Variables volume 2?
You can find similar books in the "Read Also" column, or choose other free books by James Pierpont to read onlineMoreLess
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