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and Statement 6.29. It is true that |N| = |Nx N]. In the next statement, be careful not to confuse equality of numbers with same cardinality. We've grown up with the fact that if x = y and y = z, then of course all of x, y, and z are the same. However, remember that |A| = |B| does not mean that A and B are equal - indeed, recall that A by itself is not a quantity and may have no meaning by itself! sh that 41 - IR and

and Statement 6.29. It is true that |N| = |Nx N]. In the next statement, be careful not to confuse equality of numbers with same cardinality. We've grown up with the fact that if x = y and y = z, then of course all of x, y, and z are the same. However, remember that |A| = |B| does not mean that A and B are equal - indeed, recall that A by itself is not a quantity and may have no meaning by itself! sh that 41 - IR and

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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and Statement 6.29. It is true that |N| = |N × N. In the next statement, be careful not to confuse equality of numbers with same cardinality. We've grown up with the fact that if x = y and y = z, then of course all of x, y, and z are the same. However, remember that |A| = |B| does not mean that A and B are equal - indeed, recall that A by itself is not a quantity and may have no meaning by itself! sh that 41 - IR and
Transcribed Image Text:and Statement 6.29. It is true that |N| = |N × N. In the next statement, be careful not to confuse equality of numbers with same cardinality. We've grown up with the fact that if x = y and y = z, then of course all of x, y, and z are the same. However, remember that |A| = |B| does not mean that A and B are equal - indeed, recall that A by itself is not a quantity and may have no meaning by itself! sh that 41 - IR and
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